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Multi-Timestamp Downscaler

s3lst_ds.downscaling.downscaling.Downscaler

Bases: BaseEstimator, RegressorMixin

A downscaling model that employs the a scale-invariance-based approach with residual correction: the fine target is estimated by a DownscalerEstimator from fine predictors and masks and corrected with the finely-resampled residual associated with the prediction of coarse target from coarse predictors and masks.

Attributes:

Name Type Description
base_model Regressor

The general (i.e. non-pixel-wise) base model to be fitted with coarse data.

cols_X list or ndarray

The names of the predictor columns to regard.

cols_mask (list or ndarray, optional)

The names of the mask columns to regard.

scale {"standardize", "min_max_normalize", None}, default="standardize"

The scaling method to apply to numerical predictors: - "standardize": to standardize the numerical predictors (zero mean and unit variance); - "min_max_normalize": to min-max normalize the numerical predictors (to the range [0, 1]); - None: to regard the numerical predictors raw (no scaling).

encode {"one_hot", "dummy", None}, default="dummy"

The encoding method to apply to the categorical predictors: - "one_hot": to one-hot encode the categorical predictors; - "dummy": to dummy encode the categorical predictors (one-hot encoding with the first component dropped); - None: to regard the categorical predictors raw (no encoding).

Note that dummy encoding is usually considered in place of one-hot to avoid multicollinearity problems (one may show that a component of a one-hot encoding vector is fully determined by all the other components making it redundant).

lasso_sel bool, default=False

Whether to use a Lasso regression for selecting the scaled-encoded cols_X predictors downstream of the preprocessor. Lasso selection is such that solely the input predictors associated with coefficients of the fitted Lasso regression model having absolute values larger than 1e-5 are selected. Note that the non-encoded cols_X predictors are regardlessly considered downstream of the preprocessor.

lasso_alpha float, default=1.0

The regularization strength of the Lasso regression model used for selecting the scaled-encoded cols_X predictors downstream of the preprocessor. Such regularization strength is the multiplying constant of the weight vector L1-norm (sum of the absolute values of the components) in the Lasso regression objective function. The larger the value, the stronger the regularization. Note that this parameter only takes effect if lasso_sel is True.

transform {None, "center", "standardize"}, default=None,

The transform operation of the transformed target that is estimated by the estimator: - None: if the estimator estimates the target itself (without any transformation); - "center": if the estimator estimates the centered target (that is, with the image-specific mean subtracted from it); - "standardize": if the estimator estimates standardized target (that is, with the centered target further divided by the image-specific standard deviation). Note that this has no impact when training the estimator, but when inferring with the downscaler. To make the estimator estimate a transformed target, one must issue a transformed target in training. When inferring with the downscaler, the output of the estimator is transformed to its "raw" state using statistics of the issued coarse true raw target (if and only if transform is set to estimator's transform).

max_workers int, default=1

Number of simultaneous multiple processes to consider in prediction and scoring with the special cases: - 1 or None: no multiprocessing is considered; - -1: all processors are used; - -k: all processors except k-1 are used.

estimator (DownscalerEstimator,)

The preprocessing and regression pipeline.

logger RichLogger or None

A rich logger for showing progress of the prediction/scoring.

show_progress bool, default=True

True to display the downscaling progress.

Methods:

Name Description
__init__

Initialize the downscaling model.

fit

Fit the estimator (preprocessing transformers and the general base model) to

get_estimator
predict

Predict fine target for multiple images using predict_single() for each one.

predict_coarse

Predict coarse target for multiple images.

predict_single

Predict fine raw target from fine predictors and masks (X_and_mask_fine).

save

Write the instance to path with joblib.

score

Predict fine target and score for multiple images individually (if aggregate

score_coarse

Predict coarse target and score for multiple images individually (if aggregate

score_single

Predict raw fine target and score the prediction.

Source code in src/s3lst_ds/downscaling/downscaling.py
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class Downscaler(BaseEstimator, RegressorMixin):
    """
    A downscaling model that employs the a scale-invariance-based approach with residual
    correction: the fine target is estimated by a `DownscalerEstimator` from fine
    predictors and masks and corrected with the finely-resampled residual associated
    with the prediction of coarse target from coarse predictors and masks.

    Attributes
    ----------

    base_model : Regressor
        The general (i.e. non-pixel-wise) base model to be fitted with coarse data.

    cols_X : list or np.ndarray
        The names of the predictor columns to regard.

    cols_mask : list or np.ndarray, optional
        The names of the mask columns to regard.

    scale : {"standardize", "min_max_normalize", None}, default="standardize"
        The scaling method to apply to numerical predictors:
            - `"standardize"`: to standardize the numerical predictors (zero mean and
            unit variance);
            - `"min_max_normalize"`: to min-max normalize the numerical predictors (to
            the range `[0, 1]`);
            - `None`: to regard the numerical predictors raw (no scaling).

    encode : {"one_hot", "dummy", None}, default="dummy"
        The encoding method to apply to the categorical predictors:
            - `"one_hot"`: to one-hot encode the categorical predictors;
            - `"dummy"`: to dummy encode the categorical predictors (one-hot encoding
            with the first component dropped);
            - `None`: to regard the categorical predictors raw (no encoding).

        Note that dummy encoding is usually considered in place of one-hot to avoid
        multicollinearity problems (one may show that a component of a one-hot encoding
        vector is fully determined by all the other components making it redundant).

    lasso_sel : bool, default=False
        Whether to use a Lasso regression for selecting the scaled-encoded `cols_X`
        predictors downstream of the preprocessor. Lasso selection is such that solely
        the input predictors associated with coefficients of the fitted Lasso regression
        model having absolute values larger than `1e-5` are selected. Note that the
        non-encoded `cols_X` predictors are regardlessly considered downstream of the
        preprocessor.

    lasso_alpha : float, default=1.0
        The regularization strength of the Lasso regression model used for selecting the
        scaled-encoded `cols_X` predictors downstream of the preprocessor. Such
        regularization strength is the multiplying constant of the weight vector L1-norm
        (sum of the absolute values of the components) in the Lasso regression objective
        function. The larger the value, the stronger the regularization. Note that this
        parameter only takes effect if `lasso_sel` is `True`.

    transform : {None, "center", "standardize"}, default=None,
        The transform operation of the transformed target that is estimated by the
        `estimator`:
            - `None`: if the estimator estimates the target itself (without any
            transformation);
            - `"center"`: if the estimator estimates the centered target (that is, with
            the image-specific mean subtracted from it);
            - `"standardize"`: if the estimator estimates standardized target (that is,
            with the centered target further divided by the image-specific standard
            deviation).
        Note that this has no impact when training the `estimator`, but when inferring
        with the downscaler. To make the `estimator` estimate a transformed target, one
        must issue a transformed target in training. When inferring with the downscaler,
        the output of the estimator is transformed to its "raw" state using statistics
        of the issued coarse true raw target (if and only if `transform` is set to
        estimator's transform).

    max_workers : int, default=1
        Number of simultaneous multiple processes to consider in prediction and scoring
        with the special cases:
            - `1` or `None`: no multiprocessing is considered;
            - `-1`: all processors are used;
            - `-k`: all processors except k-1 are used.

    estimator : estimation.DownscalerEstimator,
        The preprocessing and regression pipeline.

    logger : RichLogger or None
        A rich logger for showing progress of the prediction/scoring.

    show_progress : bool, default=True
        `True` to display the downscaling progress.

    """

    def __init__(
        self,
        base_model: Regressor,
        cols_X: list | np.ndarray,
        cols_mask: list | np.ndarray | None = None,
        scale: Literal["standardize", "min_max_normalize"] | None = "standardize",
        encode: Literal["one_hot", "dummy"] | None = "dummy",
        lasso_sel: bool = False,
        lasso_alpha: float = 1.0,
        transform: Literal["center", "standardize"] | None = None,
        max_workers: int = 1,
        logger: RichLogger | None = None,
        show_progress: bool = True,
    ) -> None:
        """
        Initialize the downscaling model.

        Parameters
        ----------
        base_model : Regressor
            The general (i.e. non-pixel-wise) base model to be fitted with coarse data.

        cols_X : list or np.ndarray
            The names of the predictor columns to regard.

        cols_mask : list or np.ndarray, optional
            The names of the mask columns to regard.

        scale : {"standardize", "min_max_normalize", None}, default="standardize"
            The scaling method to apply to numerical predictors:
                - `"standardize"`: to standardize the numerical predictors (zero mean
                and unit variance);
                - `"min_max_normalize"`: to min-max normalize the numerical predictors
                (to the range `[0, 1]`);
                - `None`: to regard the numerical predictors raw (no scaling).

        encode : {"one_hot", "dummy", None}, default="dummy"
            The encoding method to apply to the categorical predictors:
                - `"one_hot"`: to one-hot encode the categorical predictors;
                - `"dummy"`: to dummy encode the categorical predictors (one-hot
                encoding with the first component dropped);
                - `None`: to regard the categorical predictors raw (no encoding).

            Note that dummy encoding is usually considered in place of one-hot to avoid
            multicollinearity problems (one may show that a component of a one-hot
            encoding vector is fully determined by all the other components making it
            redundant).

        lasso_sel : bool, default=False
            Whether to use a Lasso regression for selecting the scaled-encoded `cols_X`
            predictors downstream of the preprocessor. Lasso selection is such that
            solely the input predictors associated with coefficients of the fitted Lasso
            regression model having absolute values larger than `1e-5` are selected.
            Note that the non-encoded `cols_X` predictors are regardlessly considered
            downstream of the preprocessor.

        lasso_alpha : float, default=1.0
            The regularization strength of the Lasso regression model used for selecting
            the scaled-encoded `cols_X` predictors downstream of the preprocessor. Such
            regularization strength is the multiplying constant of the weight vector
            L1-norm (sum of the absolute values of the components) in the Lasso
            regression objective function. The larger the value, the stronger the
            regularization. Note that this parameter only takes effect if `lasso_sel` is
            `True`.

        transform : {None, "center", "standardize"}, default=None,
            The transform operation of the transformed target that is estimated by the
            `estimator`:
                - `None`: if the estimator estimates the target itself (without any
                transformation);
                - `"center"`: if the estimator estimates the centered target (that is,
                with the image-specific mean subtracted from it);
                - `"standardize"`: if the estimator estimates standardized target (that
                is, with the centered target further divided by the image-specific
                standard deviation).
            Note that this has no impact when training the `estimator`, but when
            inferring with the downscaler. To make the `estimator` estimate a
            transformed target, one must issue a transformed target in training. When
            inferring with the downscaler, the output of the estimator is transformed to
            its "raw" state using statistics of the issued coarse true raw target (if
            and only if `transform` is set to estimator's transform).

        max_workers : int, default=1
            Number of simultaneous multiple processes to consider in prediction and
            scoring with the special cases:
                - `1` or `None`: no multiprocessing is considered;
                - `-1`: all processors are used;
                - `-k`: all processors except k-1 are used.

        logger : RichLogger or None
            A rich logger for showing progress of the prediction/scoring.

        show_progress : bool, default=True
            `True` to display the downscaling progress.
        """
        super().__init__()
        # NOTE: attribute `is_fitted_` is set to `True` after fitting to let `sklearn`
        # know that the instance is already fitted.
        self.is_fitted_ = False
        # NOTE: base_model is a Regressor class instance and it is an attribute of the
        # an attribute of the DownscalerEstimator class instance (estimator). The latter
        # would be updated with the changes that are done on base_model even if outside
        # of the latter.
        self._base_model = base_model
        self._cols_X = cols_X
        self._cols_mask = cols_mask if cols_mask is not None else []
        self._scale = scale
        self._encode = encode
        self._lasso_sel = lasso_sel
        self._lasso_alpha = lasso_alpha
        self.transform = transform
        self.max_workers = max_workers
        self.estimator = self.get_estimator()
        self.logger = logger
        self.show_progress = show_progress

    @property
    def base_model(self) -> Regressor:
        return self._base_model

    @property
    def cols_X(self) -> list | np.ndarray:
        return self._cols_X

    @property
    def cols_mask(self) -> list | np.ndarray:
        return self._cols_mask

    @property
    def scale(self) -> Literal["standardize", "min_max_normalize"] | None:
        """
        Get the scaling method to apply to numerical predictors:
            - `"standardize"`: to standardize the numerical predictors (zero mean and
            unit variance);
            - `"min_max_normalize"`: to min-max normalize the numerical predictors (to
            the range `[0, 1]`);
            - `None`: to regard the numerical predictors raw (no scaling).

        Returns
        -------
        scale : {"standardize", "min_max_normalize", None}
            The scaling method to apply to numerical predictors.
        """
        return self._scale  # type: ignore

    @property
    def encode(self) -> Literal["one_hot", "dummy"] | None:
        return self._encode  # type: ignore

    @property
    def lasso_sel(self) -> bool:
        return self._lasso_sel

    @property
    def lasso_alpha(self) -> float:
        return self._lasso_alpha

    @property
    def max_workers(self) -> int:
        return self._max_workers

    @base_model.setter
    def base_model(self, value: Regressor) -> None:
        self._base_model = value
        self.estimator.base_model = value

    @cols_X.setter
    def cols_X(self, value: list | np.ndarray) -> None:
        self._cols_X = value
        self.estimator.cols_X = value

    @cols_mask.setter
    def cols_mask(self, value: list | np.ndarray | None) -> None:
        self._cols_mask = value if value is not None else []
        self.estimator.cols_mask = self._cols_mask

    @scale.setter
    def scale(self, value: Literal["standardize", "min_max_normalize"] | None) -> None:
        self._scale = value
        self.estimator.scale = value  # type: ignore

    @encode.setter
    def encode(self, value: Literal["one_hot", "dummy"] | None) -> None:
        self._encode = value
        self.estimator.encode = value

    @lasso_sel.setter
    def lasso_sel(self, value: bool) -> None:
        self._lasso_sel = value
        self.estimator.lasso_sel = value

    @lasso_alpha.setter
    def lasso_alpha(self, value: float) -> None:
        self._lasso_alpha = value
        self.estimator.lasso_alpha = value

    @max_workers.setter
    def max_workers(self, value: int) -> None:
        self._max_workers = parse_n_jobs(value)

    def get_estimator(self) -> DownscalerEstimator:
        estimator = DownscalerEstimator(
            base_model=self.base_model,
            cols_X=self.cols_X,
            cols_mask=self.cols_mask,
            scale=self.scale,
            encode=self.encode,
            lasso_sel=self.lasso_sel,
            lasso_alpha=self.lasso_alpha,
        )
        return estimator

    def fit(
        self,
        X_and_mask_coarse: np.ndarray | pd.DataFrame,
        y_coarse: np.ndarray | pd.Series,
        sample_weight: np.ndarray | pd.Series | None = None,
    ) -> Self:
        """
        Fit the estimator (preprocessing transformers and the general base model) to
        training coarse data. To make the estimator estimate a transformed target such
        as a centered or a standardized one, issue `y_coarse` with transformed true
        target values.

        Parameters
        ----------

        X_and_mask_coarse : np.ndarray or pd.DataFrame
            The training coarse predictors and masks.

        y_coarse : np.ndarray or pd.Series
            The training coarse target.

        sample_weight : np.ndarray or pd.Series or None, default=None
            Weight of each sample in the cost function of the model.

        Returns
        -------

        self : Downscaler
            The fitted instance itself.

        """

        self.estimator.fit(X_and_mask_coarse, y_coarse, sample_weight=sample_weight)

        # NOTE: attribute `is_fitted_` must be set to `True` to let `sklearn` know that
        # the instance is already fitted.
        self.is_fitted_ = True

        return self

    def predict_single(
        self,
        timestamp: pd.Timestamp,
        X_and_mask_fine: np.ndarray | pd.DataFrame,
        correct: bool = True,
        X_and_mask_coarse: np.ndarray | pd.DataFrame | None = None,
        y_coarse: np.ndarray | pd.Series | None = None,
        coords_coarse: xr.Coordinates | None = None,
        coords_fine: xr.Coordinates | None = None,
        gridded: bool = True,
        dims: tuple | None = None,
        attrs: dict | None = None,
        path_out: Path | None = None,
    ) -> np.ndarray | xr.DataArray | None:
        """
        Predict fine raw target from fine predictors and masks (`X_and_mask_fine`).
        Additionally, if `correct` is set to `True`, correct prediction with
        finely-resampled residuals associated with the prediction of coarse raw target
        from coarse predictors and masks (`X_and_mask_coarse`). Note that to compute
        such residuals, the "true" coarse raw target (`y_coarse`) and the coarse and
        fine grid coordinates (`coords_coarse` and `coords_fine`) must be also issued.
        An estimator that estimates a centered or standardized target (identifiable
        through attribute `transform`) considers raw target coarse statistics in the
        respective transformations. To re-transform the target back to a "raw" state,
        the statistics of the issued `y_coarse` are herein used.

        Note that this method only predicts for a single image. To predict for multiple
        images, use `predict()`.

        Parameters
        ----------

        timestamp : pd.Timestamp
            Timestamp associated with the data.

        X_and_mask_fine : np.ndarray or pd.DataFrame
            Fine predictors and masks.

        correct : bool, default=True
            Whether to correct the predicted fine raw target (from fine predictors and
            masks, `X_and_mask_fine`) using the finely-resampled residual for the
            prediction of the coarse raw target (from coarse predictors and masks,
            `X_and_mask_coarse`).

        X_and_mask_coarse : np.ndarray or pd.DataFrame or None, default=None
            Coarse predictors and masks. It must be issued if `correct` is `True`.

        y_coarse : np.ndarray or pd.Series or None, default=None
            The "true" coarse raw target. It must be issued if `correct` is `True` or if
            `transform` is not `None`.

        coords_coarse : xarray.core.coordinates.Coordinates or None, default=None
            The coordinates of the coarse mesh. It must be issued if `correct` is
            `True`.

        coords_fine : xarray.core.coordinates.Coordinates or None, default=None
            The coordinates of the fine mesh. It must be issued if `correct` or
            `gridded` are `True`.

        gridded : bool, default=True
            Whether to return the predicted fine raw target in grid form (as an
            `xr.DataArray`) or flattened form (as a `pd.Series`).

        dims : tuple or None, default=None
            Labels for the dimensions of the predicted target if it is returned in grid
            form. If not issued, it is set to ("lat", "lon") by default.

        attrs : dict or None, default=None
            Attributes to set in the predicted target if it is returned in grid form. If
            not issued, it is set as in accordance with the CF conventions
            (https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#temperature-units):
                {
                    "standard_name": "land_surface_temperature",
                    "long_name": "Land surface temperature",
                    "units": "K",
                }

        path_out : Path or None, default=None
            The output path of the file for the predicted image. If not issued the
            predicted target is instead returned.

        Returns
        -------

        y_fine_pred : np.ndarray or xr.DataArray or None
            Predicted fine raw target in flattened form (as a `np.ndarray`, if `gridded`
            is `False`) or grid form (as an `xr.DataArray` if `gridded` is `True`). If
            `path_out` is issued, the prediction is written to file and `None` is
            instead returned.

        """
        # Parse dims and attrs parameters
        dims = dims if dims is not None else ("lat", "lon")
        attrs = (
            attrs
            if attrs is not None
            else {
                "standard_name": "land_surface_temperature",
                "long_name": "Land surface temperature",
                "units": "K",
            }
        )

        # Raise error if residual correction is to be performed but required parameters
        # are missing
        if correct is True and any(
            elem is None
            for elem in [X_and_mask_coarse, y_coarse, coords_coarse, coords_fine]
        ):
            raise TypeError(
                "Parameters 'X_and_mask_coarse', 'y_coarse', 'coords_coarse' and"
                " 'coords_fine' must also be issued to perform residual"
                " correction."
            )
        # Raise error if transformation of predicted target into raw state is to be
        # performed but required parameters are missing
        if self.transform is not None and y_coarse is None:
            raise TypeError(
                "Parameter 'y_coarse' must also be issued to transform predicted"
                " target into raw state."
            )

        # Raise error if the predicted target is wanted in grid form (not in ravelled
        # one) but required parameters are missing
        if gridded is True and coords_fine is None:
            raise TypeError(
                "Parameter 'coords_fine' must also be issued to make predicted"
                " target gridded."
            )

        # Convert true coarse raw target to a pandas Series if it is not already and
        # residual correction is considered or the estimator estimates centered or
        # standardized target (such condition would require usage of the true coarse
        # target)
        if not isinstance(y_coarse, pd.Series) and (
            correct is True or self.transform is not None
        ):
            y_coarse = pd.Series(y_coarse)

        # Predict fine target from fine predictors and masks using the the preprocessor
        # and the base model
        y_fine_pred = pd.Series(self.estimator.predict(X_and_mask_fine))

        # Transform predicted fine target to raw state using the true target coarse
        # statistics
        if self.transform == "center":
            y_fine_pred = y_fine_pred + y_coarse.mean()  # type: ignore
        elif self.transform == "standardize":
            y_fine_pred = y_fine_pred * y_coarse.std() + y_coarse.mean()  # type: ignore

        # If gridded prediction or residual correction are wanted, transform the
        # predicted fine raw target into grid form
        # NOTE: residual correction involves reprojection of the coarse residual into
        # the fine grid. The grid of the gridded predicted fine raw target may be used
        # as target of the matching reprojection.
        if gridded is True or correct is True:
            # Get shape of the fine grid
            shape_fine = tuple(reversed(list(coords_fine.sizes.values())))  # type: ignore

            y_fine_pred = xr.DataArray(
                data=y_fine_pred.values.reshape(  # type: ignore
                    shape_fine  # type: ignore
                ),
                coords=coords_fine,
                dims=("y", "x"),
                name="LST",
            )

        # If residual correction is wanted, correct the prediction using finely-resample
        # residuals associated with the prediction of the coarse target
        if correct is True:
            # Predict coarse target from coarse predictors and masks
            y_coarse_pred = pd.Series(self.estimator.predict(X_and_mask_coarse))  # type: ignore

            # Transform predicted coarse target to raw state using the true target
            # coarse statistics
            if self.transform == "center":
                y_coarse_pred = y_coarse_pred + y_coarse.mean()  # type: ignore
            elif self.transform == "standardize":
                y_coarse_pred = (
                    y_coarse_pred * y_coarse.std() + y_coarse.mean()  # type: ignore
                )

            # Compute respective residuals
            res_coarse = y_coarse - y_coarse_pred  # type: ignore

            # Get shape of the coarse grid
            shape_coarse = tuple(reversed(list(coords_coarse.sizes.values())))  # type: ignore

            # Express the residuals in the coarse grid
            res_coarse = xr.DataArray(
                data=res_coarse.values.reshape(shape_coarse),  # type: ignore
                coords=coords_coarse,
                dims=("y", "x"),
                name="LST",
            )

            # Refine the residuals by reprojecting then to the fine grid
            res_coarse_refined = selective_reproject_match(
                data_src=res_coarse,
                data_target=y_fine_pred,  # type: ignore
            )

            # Correct the fine raw target
            y_fine_pred = y_fine_pred + res_coarse_refined

            # If ravelled (flat) predicted fine raw target is wanted, ravel it
            if gridded is False:
                y_fine_pred = y_fine_pred.values.ravel()  # type: ignore

        # In case of gridded prediction, set type, NODATA value, dimension labels and
        # attributes of the data
        if gridded is True:
            # Set data type
            y_fine_pred = y_fine_pred.astype("float32")

            # Set time coordinate
            # WARNING: it is herein assumed that the timestamp is in the UTC timezone.
            y_fine_pred = y_fine_pred.expand_dims(  # type: ignore
                dim={"time": [timestamp.tz_localize("UTC")]}
            )

            # Write NODATA value
            y_fine_pred.rio.write_nodata(  # type: ignore
                input_nodata=-999,
                encoded=True,
                inplace=True,
            )

            # Set dimension labels
            if dims is not None:
                y_fine_pred = y_fine_pred.rename({"y": dims[0], "x": dims[1]})

            # Set attributes
            if attrs is not None:
                y_fine_pred.attrs = attrs  # type: ignore
                y_fine_pred["time"].attrs = {
                    "axis": "T",
                    "standard_name": "time",
                    "long_name": "Start sensing time of the satellite acquisition",
                }

        # If writing to file, write the predicted fine raw target
        if path_out is not None:
            # Create output directory if it does not exist
            path_out.parent.mkdir(  # type: ignore
                parents=True,
                exist_ok=True,
            )
            # Write to file
            if gridded is False:
                path_out = path_out.with_suffix(".csv")
                np.savetxt(fname=path_out, X=y_fine_pred)  # type: ignore

            else:
                # NOTE: rioxarray `to_raster()` cannot handle writing to NetCDF files,
                # but `to_netcdf()` can.
                if path_out.suffix == ".nc":
                    # NetCDF cannot handle pd.Timestamp type. Time will be converted to
                    # seconds since 1972-01-01 00:00:00 UTC, as in accordance with CF
                    # conventions
                    # NOTE: see https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#page=42
                    y_fine_pred["time"] = (
                        y_fine_pred["time"] - pd.Timestamp("1972-01-01 00:00:00Z")
                    ).dt.total_seconds()  # type: ignore
                    y_fine_pred["time"].attrs = {  # type: ignore
                        "standard_name": "time",
                        "long_name": "Time",
                        "axis": "T",
                        "units": "seconds since 1972-1-1 00:00:00Z",
                        "calendar": "proleptic_gregorian",
                    }

                    y_fine_pred.to_netcdf(path_out)  # type: ignore
                else:
                    # In the case of no suffix, `to_raster()` considers GeoTIFF.
                    if path_out.suffix in [""]:
                        path_out = path_out.with_suffix(".tif")

                    y_fine_pred.rio.to_raster(path_out)  # type: ignore

            # Set y_fine_pred to None to return None at the end of the function
            y_fine_pred = None

        return y_fine_pred  # type: ignore

    def predict(
        self,
        X_and_mask_fine: dict[pd.Timestamp, np.ndarray | pd.DataFrame],
        correct: bool = True,
        X_and_mask_coarse: dict[pd.Timestamp, np.ndarray | pd.DataFrame] | None = None,
        y_coarse: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
        coords_coarse: dict[pd.Timestamp, xr.Coordinates] | None = None,
        coords_fine: dict[pd.Timestamp, xr.Coordinates] | None = None,
        gridded: bool = True,
        dims: tuple | None = None,
        attrs: dict | None = None,
        path_out: dict[pd.Timestamp, Path] | None = None,
        *,
        _log: bool = True,
    ) -> dict[pd.Timestamp, np.ndarray | xr.DataArray] | None:
        """
        Predict fine target for multiple images using `predict_single()` for each one.

        Parameters
        ----------

        X_and_mask_fine : dict[pd.Timestamp, np.ndarray or pd.DataFrame]
            Fine predictors and masks for each image, keyed by timestamp.

        correct : bool, default=True
            Whether to correct the predicted fine raw target for each image (from fine
            predictors and masks, `X_and_mask_fine`) using the finely-resampled residual
            for the prediction of the coarse raw target (from coarse predictors and
            masks, `X_and_mask_coarse`).

        X_and_mask_coarse : dict[pd.Timestamp, np.ndarray or pd.DataFrame] or None, default=None
            Coarse predictors and masks for each image, keyed by timestamp. It must be
            issued if `correct` is `True`.

        y_coarse : dict[pd.Timestamp, np.ndarray or pd.Series] or None, default=None
            The "true" coarse raw target, keyed by timestamp. It must be issued if
            `correct` is `True` or if `transform` is not `None`.

        coords_coarse : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
            The coordinates of the coarse mesh for each image, keyed by timestamp. It
            must be issued if `correct` is `True`.

        coords_fine : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
            The coordinates of the fine mesh for each image, keyed by timestamp. It must
            be issued if `correct` or `gridded` are `True`.

        gridded : bool, default=True
            Whether to return the predicted fine raw target for each image in grid form
            (as an `xr.DataArray`) or in flattened form (as a `pd.Series`).

        dims : tuple or None, default=None
            Labels for the dimensions of the predicted target if it is returned in grid
            form. If not issued, it is set to ("y", "x") by default.

        attrs : dict or None, default=None
            Attributes to set in the predicted target if it is returned in grid form. If
            not issued, it is set as in accordance with the CF conventions
            (https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#temperature-units):
                {
                    "standard_name": "land_surface_temperature", "long_name": "Land
                    surface temperature", "units": "K",
                }

        path_out : dict[pd.Timestamp, Path] or None, default=None
            The output path of the file for each predicted image, keyed by timestamp. If
            not issued, the predicted target is instead returned.

        _log : bool, default=True
            Whether to log messages into terminal.

        Returns
        -------

        y_fine_pred : dict[pd.Timestamp, np.ndarray or xr.DataArray] or None
            Predicted fine raw target for each image in flattened form (as a
            `np.ndarray`, if `gridded` is `False`) or grid form (as an `xr.DataArray` if
            `gridded` is `True`). If `path_out` is issued, the predictions are written
            to files and `None` is instead returned.
        """

        if self.logger is not None and _log is True:
            self.logger.info("Predicting raw target...")

        # Transform parameters valued as None into dictionaries with None values (one
        # per image)
        X_and_mask_coarse = (
            X_and_mask_coarse
            if X_and_mask_coarse is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )
        y_coarse = (
            y_coarse
            if y_coarse is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )
        coords_coarse = (
            coords_coarse
            if coords_coarse is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )
        coords_fine = (
            coords_fine
            if coords_fine is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )
        path_out = (
            path_out
            if path_out is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )

        # Define progress bar
        pbar = (
            tqdm(
                # Prefix for the progressbar
                bar_format=f"{'':9}" + "{l_bar}{bar}{r_bar}",
                desc=f"{'':8}",
                total=len(X_and_mask_fine.keys()),  # type: ignore
                unit="timestamp",
                position=0,
                leave=True,  # Keep progress on the screen after completion.
                options={"console": self.logger.console},
            )
            if self.show_progress is True and self.logger is not None
            else None
        )

        # Predict fine raw targets as a dictionary
        y_fine_pred = {}
        if self.max_workers != 1:
            with ProcessPoolExecutor(max_workers=self.max_workers) as executor:
                # List of placeholders for the eventual result of a computation
                futures = {
                    # NOTE: Using executor.submit() can be safely used as key of
                    # dictionary since executor.submit() returns a Future object
                    # (https://docs.python.org/3/library/asyncio-future.html#future-object)
                    # and all of these objects are unique and hashable.
                    executor.submit(
                        self.predict_single,
                        timestamp=timestamp,
                        X_and_mask_fine=X_and_mask_fine[timestamp],
                        correct=correct,
                        X_and_mask_coarse=X_and_mask_coarse[timestamp],  # type: ignore
                        y_coarse=y_coarse[timestamp],  # type: ignore
                        coords_coarse=coords_coarse[timestamp],  # type: ignore
                        coords_fine=coords_fine[timestamp],  # type: ignore
                        dims=dims,
                        attrs=attrs,
                        gridded=gridded,
                        path_out=path_out[timestamp],  # type: ignore
                    ): timestamp
                    for timestamp in X_and_mask_fine  # type: ignore
                }

                for future in as_completed(futures):
                    # Add result to dictionary of results
                    timestamp = futures[future]
                    y_fine_pred[timestamp] = future.result()

                    # Update progress bar with one more count per completed process
                    if pbar is not None:
                        pbar.update()

            # Make dictionary of predictions be ordered as input X_and_mask_fine
            # NOTE: multiprocessing may output results in a different order.
            y_fine_pred = {
                timestamp: y_fine_pred[timestamp] for timestamp in X_and_mask_fine
            }

        else:
            for timestamp in X_and_mask_fine:  # noqa: PLC0206
                y_fine_pred[timestamp] = self.predict_single(
                    timestamp=timestamp,
                    X_and_mask_fine=X_and_mask_fine[timestamp],
                    correct=correct,
                    X_and_mask_coarse=X_and_mask_coarse[timestamp],  # type: ignore
                    y_coarse=y_coarse[timestamp],  # type: ignore
                    coords_coarse=coords_coarse[timestamp],  # type: ignore
                    coords_fine=coords_fine[timestamp],  # type: ignore
                    gridded=gridded,
                    dims=dims,
                    attrs=attrs,
                    path_out=path_out[timestamp],  # type: ignore
                )

                # Update progress bar with one more count per completed process
                if pbar is not None:
                    pbar.update()

        # At the end close progress bar
        if pbar is not None:
            pbar.close()

        # Convert y_fine_pred to None if it any of their values was written to files.
        if None not in path_out.values():  # type: ignore
            y_fine_pred = None

        return y_fine_pred  # type: ignore

    def predict_coarse(
        self,
        X_and_mask_coarse: dict[pd.Timestamp, np.ndarray | pd.DataFrame],
        y_coarse: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
        coords_coarse: dict[pd.Timestamp, xr.Coordinates] | None = None,
        gridded: bool = True,
        dims: tuple | None = None,
        attrs: dict | None = None,
        path_out: dict[pd.Timestamp, Path] | None = None,
    ) -> dict[pd.Timestamp, np.ndarray | xr.DataArray] | None:
        """
        Predict coarse target for multiple images.

        Parameters
        ----------

        X_and_mask_coarse : dict[pd.Timestamp, np.ndarray or pd.DataFrame]
            Coarse predictors and masks for each image, keyed by timestamp.

        y_coarse : dict[pd.Timestamp, np.ndarray or pd.Series] or None, default=None
            The "true" coarse raw target, keyed by timestamp. It must be issued if
            `transform` is not `None`.

        coords_coarse : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
            The coordinates of the coarse mesh for each image, keyed by timestamp. It
            must be issued if `gridded` is `True`.

        gridded : bool, default=True
            Whether to return the predicted coarse raw target for each image in grid
            form (as an `xr.DataArray`) or in flattened form (as a `pd.Series`).

        dims : tuple or None, default=None
            Labels for the dimensions of the predicted target if it is returned in grid
            form. If not issued, it is set to ("y", "x") by default.

        attrs : dict or None, default=None
            Attributes to set in the predicted target if it is returned in grid form. If
            not issued, it is set as in accordance with the CF conventions
            (https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#temperature-units):
                {
                    "standard_name": "land_surface_temperature", "long_name": "Land
                    surface temperature", "units": "K",
                }

        path_out : dict[pd.Timestamp, Path] or None, default=None
            The output path of the file for each predicted image, keyed by timestamp. If
            not issued, the predicted target is instead returned.

        Returns
        -------

        y_coarse_pred : dict[pd.Timestamp, np.ndarray or xr.DataArray] or None
            Predicted coarse raw target for each image in flattened form (as a
            `np.ndarray`, if `gridded` is `False`) or grid form (as an `xr.DataArray` if
            `gridded` is `True`). If `path_out` is issued, the predictions are written
            to files and `None` is instead returned.
        """

        y_coarse_pred = self.predict(
            X_and_mask_fine=X_and_mask_coarse,
            correct=False,
            y_coarse=y_coarse,
            coords_fine=coords_coarse,
            gridded=gridded,
            dims=dims,
            attrs=attrs,
            path_out=path_out,
        )

        return y_coarse_pred

    def score_single(
        self,
        timestamp: pd.Timestamp,
        X_and_mask_fine: np.ndarray | pd.DataFrame,
        y_fine: np.ndarray | pd.Series,
        correct: bool = True,
        calibrate: bool = False,
        X_and_mask_coarse: np.ndarray | pd.DataFrame | None = None,
        y_coarse: np.ndarray | pd.Series | None = None,
        coords_coarse: xr.Coordinates | None = None,
        coords_fine: xr.Coordinates | None = None,
        scorers: list[str] | None = None,
        sample_weight: np.ndarray | pd.Series | None = None,
    ) -> dict[str, float]:
        """
        Predict raw fine target and score the prediction.

        Note that this method only predicts and scores for a single image. To predict
        and score for multiple images, use `score()`.

        Parameters
        ----------
        timestamp : pd.Timestamp
            Timestamp associated with the data.

        X_and_mask_fine : np.ndarray or pd.DataFrame
            Fine predictors and masks.

        y_fine : np.ndarray or pd.Series
            The "true" raw fine target.

        correct : bool, default=True
            Whether to correct the predicted fine raw target (from fine predictors and
            masks, `X_and_mask_fine`) using the finely-resampled residual for the
            prediction of the coarse raw target (from coarse predictors and masks,
            `X_and_mask_coarse`).

        calibrate : bool, default=False
            Whether to calibrate the predicted fine target with the coarse validation
            target. This is done by offsetting and scaling the predicted fine target
            with the transform that makes the coarse true target (`y_coarse`) have the
            same mean and standard deviation as the validation coarse one (coarsened
            `y_fine`). Such transformation is an attempt to account for discrepancies
            between source and validation platforms at a common coarse grid from the
            computed scores.

        X_and_mask_coarse : np.ndarray or pd.DataFrame or None, default=None
            Coarse predictors and masks. It must be issued if `correct` is `True`.

        y_coarse : np.ndarray or pd.Series or None, default=None
            The "true" raw coarse target. It must be issued if `correct` or `calibrate`
            are `True` or `transform` is not `None`.

        coords_coarse : xarray.core.coordinates.Coordinates or None, default=None
            The coordinates of the coarse mesh. It must be issued if `correct` or
            `calibrate` are `True`.

        coords_fine : xarray.core.coordinates.Coordinates or None, default=None
            The coordinates of the fine mesh. It must be issued if `correct` or
            `calibrate` are `True`.


        scorers : list[str], default=["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]
            Aliases of the scorers to consider.

        sample_weight : np.ndarray or pd.Series or None, default=None
            Weight of each sample in the score.

        Returns
        -------

        score : dict[str, float]
            Prediction scores.
        """

        # Define default value for scorers argument
        if scorers is None:
            scorers = ["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]

        # If y_fine is a Series, reset its indexes. The analogous follows for
        # sample_weight. This is required, since indexes of y_fine, y_fine_pred and
        # y_fine_dummy_pred and sample_weight should match when combining them into a
        # single DataFrame afterwards.
        if isinstance(y_fine, pd.Series):
            y_fine = y_fine.reset_index(drop=True)
        if isinstance(sample_weight, pd.Series):
            sample_weight = sample_weight.reset_index(drop=True)

        # Predict raw fine target
        y_fine_pred = pd.Series(
            self.predict_single(
                timestamp=timestamp,
                X_and_mask_fine=X_and_mask_fine,
                correct=correct,
                X_and_mask_coarse=X_and_mask_coarse,
                y_coarse=y_coarse,
                coords_coarse=coords_coarse,
                coords_fine=coords_fine,
                gridded=False,
            )  # type: ignore
        )

        # Predict raw fine target from predictors using the dummy mean model
        # NOTE: this is required for computing out-of-sample coefficient of
        # determination
        y_fine_dummy_pred = self.estimator.pipeline.named_steps[
            "regressor"
        ].dummy_mean_model.predict(X_and_mask_fine) * (
            y_coarse.std() if self.transform == "standardize" else 1  # type: ignore
        ) + (
            y_coarse.mean() if self.transform is not None else 0  # type: ignore
        )

        # Calibrate the fine targets predicted by downscaler and dummy mean model with
        # the transform that would make the coarse true target have the same mean and
        # standard deviation as the coarsened fine validation one.
        if calibrate is True:
            # Express coarse true target in its grid
            shape_coarse = tuple(reversed(list(coords_coarse.sizes.values())))  # type: ignore
            y_coarse_grid = xr.DataArray(
                data=(
                    y_coarse.values if isinstance(y_coarse, pd.Series) else y_coarse
                ).reshape(  # type: ignore
                    shape_coarse  # type: ignore
                ),
                coords=coords_coarse,
                dims=("y", "x"),
                name="LST",
            )

            # Express fine validation target in its grid
            shape_fine = tuple(reversed(list(coords_fine.sizes.values())))  # type: ignore
            y_fine_grid = xr.DataArray(
                data=(
                    y_fine.values if isinstance(y_fine, pd.Series) else y_fine
                ).reshape(  # type: ignore
                    shape_fine  # type: ignore
                ),
                coords=coords_fine,
                dims=("y", "x"),
                name="LST",
            )

            # Reproject fine validation target to coarse grid
            y_fine_coarse = selective_reproject_match(
                data_src=y_fine_grid,
                data_target=y_coarse_grid,  # type: ignore
            )

            # Calibrate fine target predicted by downscaler
            # NOTE: https://math.stackexchange.com/a/2943606/209790
            y_fine_pred = (
                y_fine_coarse.mean().item()  # type: ignore
                + y_fine_coarse.std().item()  # type: ignore
                / y_coarse.std()  # type: ignore
                * (y_fine_pred - y_coarse.mean())  # type: ignore
            )

            # Calibrate fine target predicted by dummy mean model
            y_fine_dummy_pred = (
                y_fine_coarse.mean().item()  # type: ignore
                + y_fine_coarse.std().item()  # type: ignore
                / y_coarse.std()  # type: ignore
                * (y_fine_dummy_pred - y_coarse.mean())  # type: ignore
            )

        # Combine the true and predicted raw targets into a same DataFrame (so that all
        # records containing any nan may be later dropped and the prediction score
        # afterwards computed)
        data = pd.DataFrame(
            data={
                "y_true": y_fine,
                "y_pred": y_fine_pred,
                "y_dummy_pred": y_fine_dummy_pred,
                **(
                    {
                        "sample_weight": sample_weight,
                    }
                    if sample_weight is not None
                    else {}
                ),
            }
        )

        # Drop nan
        data = data.dropna()

        # Compute prediction score
        score = {
            # Coefficient of determination
            "r2": r2(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Out-of-sample coefficient of determination
            # [NOTE: this is such that it uses a dummy mean model (simply the arithmetic
            # mean of the masked inference coarse targets) as reference.]
            "r2_oos": r2_oos(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                y_dummy_pred=data["y_dummy_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Root mean squared error
            "rmse": rmse(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Root mean squared error of the standardized target (using true target
            # statistics)
            "rmse_delta": rmse_delta(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Mean absolute error
            "mae": mae(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Mean absolute error of the standardized target (using true
            # target statistics)
            "mae_delta": mae_delta(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Mean bias error
            "mbe": mbe(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
        }

        # Select solely scores of interest
        score = {
            scorer: score_i for scorer, score_i in score.items() if scorer in scorers
        }

        return score

    def score(
        self,
        X_and_mask_fine: dict[pd.Timestamp, np.ndarray | pd.DataFrame],
        y_fine: dict[pd.Timestamp, np.ndarray | pd.Series],
        correct: bool = True,
        calibrate: bool = False,
        X_and_mask_coarse: dict[pd.Timestamp, np.ndarray | pd.DataFrame] | None = None,
        y_coarse: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
        coords_coarse: dict[pd.Timestamp, xr.Coordinates] | None = None,
        coords_fine: dict[pd.Timestamp, xr.Coordinates] | None = None,
        aggregate: bool = False,
        scorers: list[str] | None = None,
        sample_weight: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
    ) -> dict[pd.Timestamp, dict[str, float]]:
        """
        Predict fine target and score for multiple images individually (if `aggregate`
        is set to `False`) or combined (if `aggregate` is set to `True`).

        Parameters
        ----------

        X_and_mask_fine : dict[pd.Timestamp, np.ndarray or pd.DataFrame]
            Fine predictors and masks, keyed by timestamp.

        y_fine : dict[pd.Timestamp, np.ndarray or pd.Series]
            The "true" fine raw target, keyed by timestamp.

        correct : bool, default=True
            Whether to correct the predicted fine raw target (from fine predictors and
            masks, `X_and_mask_fine`) using the finely-resampled residual for the
            prediction of the coarse raw target (from coarse predictors and masks,
            `X_and_mask_coarse`).

        calibrate : bool, default=False
            Whether to calibrate the predicted fine target with the coarse validation
            target for each timestamp. This is done by offsetting and scaling the
            predicted fine target with the transform that makes the coarse true target
            (`y_coarse`) have the same mean and standard deviation as the validation
            coarse one (coarsened `y_fine`) for each timestamp. Such transformation is
            an attempt to account for discrepancies between source and validation
            platforms at a common coarse grid from the computed scores.

        X_and_mask_coarse : dict[pd.Timestamp, np.ndarray or pd.DataFrame] or None, default=None
            Coarse predictors and masks, keyed by timestamp. It must be issued if
            `correct` is `True`.

        y_coarse : dict[pd.Timestamp, np.ndarray or pd.Series] or None, default=None
            The "true" coarse raw target, keyed by timestamp. It must be issued if
            `correct` or `calibrate` are `True` or if `transform` is not `None`.

        coords_coarse : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
            The coordinates of the coarse mesh for each image, keyed by timestamp. It
            must be issued if `correct` or `calibrate` are `True`.

        coords_fine : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
            The coordinates of the fine mesh for each image, keyed by timestamp. It must
            be issued if `correct` or `calibrate` are `True`.

        aggregate : bool, default=False
            Whether to compute scores for images individually (`False`) or combined
            (`True`).

        scorers : list[str], default=["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]
            Aliases of the scorers to consider.

        sample_weight : dict[pd.Timestamp, np.ndarray or pd.Series] or None, default=None
            Weight of each sample in the score, keyed by timestamp.

        Returns
        -------

        score : dict[pd.Timestamp, dict[str, float]]
            Prediction scores for each image (if `aggregate` is set to `False`) or all
            of them combined (if `aggregate` is set to `True`).
        """

        if self.logger is not None:
            self.logger.info("Predicting raw target and scoring...")

        # Define default value for scorers argument
        if scorers is None:
            scorers = ["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]

        # Transform parameters valued as None into dictionaries with None values (one
        # per image)
        X_and_mask_coarse = (
            X_and_mask_coarse
            if X_and_mask_coarse is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )
        y_fine = (
            y_fine
            if y_fine is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )
        y_coarse = (
            y_coarse
            if y_coarse is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )
        coords_coarse = (
            coords_coarse
            if coords_coarse is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )
        coords_fine = (
            coords_fine
            if coords_fine is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )
        sample_weight = (
            sample_weight
            if sample_weight is not None
            else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
        )

        if aggregate is False:
            # Define progress bar
            pbar = (
                tqdm(
                    # Prefix for the progressbar
                    bar_format=f"{'':9}" + "{l_bar}{bar}{r_bar}",
                    desc=f"{'':8}",
                    total=len(X_and_mask_fine.keys()),  # type: ignore
                    unit="timestamp",
                    position=0,
                    leave=True,  # Keep progress on the screen after completion.
                    options={"console": self.logger.console},
                )
                if self.show_progress is True and self.logger is not None
                else None
            )

            # Predict scores as a dictionary
            score = {}
            if self.max_workers != 1:
                with ProcessPoolExecutor(max_workers=self.max_workers) as executor:
                    # List of placeholders for the eventual result of a computation
                    futures = {
                        # NOTE: Using executor.submit() can be safely used as key of
                        # dictionary since executor.submit() returns a Future object
                        # (https://docs.python.org/3/library/asyncio-future.html#future-object)
                        # and all of these objects are unique and hashable.
                        executor.submit(
                            self.score_single,
                            timestamp=timestamp,
                            X_and_mask_fine=X_and_mask_fine[timestamp],
                            y_fine=y_fine[timestamp],
                            correct=correct,
                            calibrate=calibrate,
                            X_and_mask_coarse=X_and_mask_coarse[timestamp],  # type: ignore
                            y_coarse=y_coarse[timestamp],  # type: ignore
                            coords_coarse=coords_coarse[timestamp],  # type: ignore
                            coords_fine=coords_fine[timestamp],  # type: ignore
                            scorers=scorers,
                            sample_weight=sample_weight[timestamp],  # type: ignore
                        ): timestamp
                        for timestamp in X_and_mask_fine  # type: ignore
                    }

                    for future in as_completed(futures):
                        # Add result to dictionary of results
                        timestamp = futures[future]
                        score[timestamp] = future.result()

                        # Update progress bar with one more count per completed process
                        if pbar is not None:
                            pbar.update()

                # Make dictionary of scores be ordered as input X_and_mask_fine
                # NOTE: multiprocessing may output results in a different order.
                score = {timestamp: score[timestamp] for timestamp in X_and_mask_fine}  # type: ignore

            else:
                for timestamp in X_and_mask_fine:  # noqa: PLC0206
                    score[timestamp] = self.score_single(
                        timestamp=timestamp,
                        X_and_mask_fine=X_and_mask_fine[timestamp],
                        y_fine=y_fine[timestamp],
                        correct=correct,
                        calibrate=calibrate,
                        X_and_mask_coarse=X_and_mask_coarse[timestamp],  # type: ignore
                        y_coarse=y_coarse[timestamp],  # type: ignore
                        coords_coarse=coords_coarse[timestamp],  # type: ignore
                        coords_fine=coords_fine[timestamp],  # type: ignore
                        scorers=scorers,
                        sample_weight=sample_weight[timestamp],  # type: ignore
                    )
                    # Update progress bar with one more count per completed process
                    if pbar is not None:
                        pbar.update()

            # At the end close progress bar
            if pbar is not None:
                pbar.close()

        # If parameter "aggregate" is True, score for the combined data
        else:
            # Raise error if transformation of predicted target into raw state is to
            # be performed but required parameters are missing
            if self.transform is not None and y_coarse is None:
                raise TypeError(
                    "Parameter 'y_coarse' must also be issued to transform"
                    + " predicted target into raw state."
                )

            # Convert true fine raw target for each image to pandas Series if it is
            # not already.
            y_fine = {
                timestamp: (
                    pd.Series(y_fine[timestamp])
                    if not isinstance(y_fine[timestamp], pd.Series)
                    else y_fine[timestamp]
                )
                for timestamp in X_and_mask_fine  # type: ignore
            }

            # Get statistics of true fine raw target for each image (to use them
            # later to compute RMSE of the standardized target)
            y_fine_mean = {
                timestamp: y_fine[timestamp].mean()  # type: ignore
                for timestamp in X_and_mask_fine  # type: ignore
            }
            y_fine_std = {
                timestamp: y_fine[timestamp].std()  # type: ignore
                for timestamp in X_and_mask_fine  # type: ignore
            }

            # Compute standardized true fine target for each image (using true fine
            # raw target statistics)
            y_fine_delta = {
                timestamp: (y_fine[timestamp] - y_fine_mean[timestamp])
                / y_fine_std[timestamp]
                for timestamp in X_and_mask_fine  # type: ignore
            }

            # Predict raw fine target for each image
            y_fine_pred = {
                timestamp: pd.Series(value)  # type: ignore
                for timestamp, value in self.predict(
                    X_and_mask_fine=X_and_mask_fine,
                    correct=correct,
                    X_and_mask_coarse=X_and_mask_coarse,  # type: ignore
                    y_coarse=y_coarse,
                    coords_coarse=coords_coarse,
                    coords_fine=coords_fine,
                    gridded=False,
                    _log=False,
                ).items()  # type: ignore
            }

            # Predict raw fine target for each image using the dummy mean model
            # NOTE: this is required for computing out-of-sample coefficient of
            # determination.
            y_fine_dummy_pred = {
                timestamp: pd.Series(
                    self.estimator.pipeline.named_steps[
                        "regressor"
                    ].dummy_mean_model.predict(X_and_mask_fine[timestamp])
                    * (
                        y_coarse[timestamp].std()  # type: ignore
                        if self.transform == "standardize"
                        else 1
                    )
                    + (
                        y_coarse[timestamp].mean()  # type: ignore
                        if self.transform is not None
                        else 0
                    )
                )
                for timestamp in X_and_mask_fine  # type: ignore
            }

            # Calibrate the fine targets predicted by downscaler and dummy mean model
            # with the transform that would make the coarse true target have the same
            # mean and standard deviation as the coarsened fine validation one.
            if calibrate is True:
                # Express coarse true target in its grid
                shape_coarse = {
                    timestamp: tuple(
                        reversed(list(coords_coarse[timestamp].sizes.values()))  # type: ignore
                    )  # type: ignore
                    for timestamp in X_and_mask_fine
                }
                y_coarse_grid = {
                    timestamp: xr.DataArray(
                        data=(
                            y_coarse[timestamp].values  # type: ignore
                            if isinstance(y_coarse[timestamp], pd.Series)  # type: ignore
                            else y_coarse[timestamp]  # type: ignore
                        ).reshape(  # type: ignore
                            shape_coarse[timestamp]  # type: ignore
                        ),
                        coords=coords_coarse[timestamp],  # type: ignore
                        dims=("y", "x"),
                        name="LST",
                    )
                    for timestamp in X_and_mask_fine
                }

                # Express fine validation target in its  grid
                shape_fine = {
                    timestamp: tuple(
                        reversed(list(coords_fine[timestamp].sizes.values()))  # type: ignore
                    )  # type: ignore
                    for timestamp in X_and_mask_fine
                }  # type: ignore
                y_fine_grid = {
                    timestamp: xr.DataArray(
                        data=(
                            y_fine[timestamp].values  # type: ignore
                            if isinstance(y_fine[timestamp], pd.Series)  # type: ignore
                            else y_fine[timestamp]
                        ).reshape(  # type: ignore
                            shape_fine[timestamp]  # type: ignore
                        ),
                        coords=coords_fine[timestamp],  # type: ignore
                        dims=("y", "x"),
                        name="LST",
                    )
                    for timestamp in X_and_mask_fine
                }

                # Reproject fine validation target to coarse grid
                y_fine_coarse = {
                    timestamp: selective_reproject_match(
                        data_src=y_fine_grid[timestamp],  # type: ignore
                        data_target=y_coarse_grid[timestamp],  # type: ignore
                    )
                    for timestamp in X_and_mask_fine  # type: ignore
                }

                # Calibrate fine target predicted by downscaler
                # NOTE: https://math.stackexchange.com/a/2943606/209790
                y_fine_pred = {
                    timestamp: (
                        y_fine_coarse[timestamp].mean().item()  # type: ignore
                        + y_fine_coarse[timestamp].std().item()  # type: ignore
                        / y_coarse[timestamp].std()  # type: ignore
                        * (y_fine_pred[timestamp] - y_coarse[timestamp].mean())  # type: ignore
                    )
                    for timestamp in X_and_mask_fine  # type: ignore
                }

                # Calibrate fine target predicted by dummy mean model
                y_fine_dummy_pred = {
                    timestamp: (
                        y_fine_coarse[timestamp].mean().item()  # type: ignore
                        + y_fine_coarse[timestamp].std().item()  # type: ignore
                        / y_coarse[timestamp].std()  # type: ignore
                        * (y_fine_dummy_pred[timestamp] - y_coarse[timestamp].mean())  # type: ignore
                    )
                    for timestamp in X_and_mask_fine  # type: ignore
                }

            # Compute standardized predicted fine target for each image (using true fine
            # raw target statistics)
            y_fine_pred_delta = {
                timestamp: (y_fine_pred[timestamp] - y_fine_mean[timestamp])
                / y_fine_std[timestamp]
                for timestamp in X_and_mask_fine  # type: ignore
            }

            # Combine variables of all timestamps
            y_fine = pd.concat(y_fine, ignore_index=True)  # type: ignore
            y_fine_pred = pd.concat(y_fine_pred, ignore_index=True)  # type: ignore
            y_fine_dummy_pred = pd.concat(y_fine_dummy_pred, ignore_index=True)  # type: ignore
            y_fine_delta = pd.concat(y_fine_delta, ignore_index=True)  # type: ignore
            y_fine_pred_delta = pd.concat(y_fine_pred_delta, ignore_index=True)  # type: ignore
            sample_weight = (
                pd.concat(sample_weight, ignore_index=True)  # type: ignore
                if not any(value is None for value in sample_weight.values())  # type: ignore
                else None
            )
            # Combine the true and predicted targets into a common DataFrame (so that
            # all records containing any nan may be later dropped and the prediction
            # score afterwards computed)
            data = pd.DataFrame(
                data={
                    "y_true": y_fine,
                    "y_pred": y_fine_pred,
                    "y_dummy_pred": y_fine_dummy_pred,
                    "y_true_delta": y_fine_delta,
                    "y_pred_delta": y_fine_pred_delta,
                    **(
                        {
                            "sample_weight": sample_weight,
                        }
                        if sample_weight is not None
                        else {}
                    ),
                }
            )

            # Drop nan
            data = data.dropna()

            # Compute prediction score
            score = {
                # Coefficient of determination
                "r2": r2(
                    y_true=data["y_true"],
                    y_pred=data["y_pred"],
                    sample_weight=(
                        data["sample_weight"] if sample_weight is not None else None
                    ),
                ),
                # Out-of-sample coefficient of determination
                # [NOTE: this is such that it uses a dummy mean model (simply the
                # arithmetic mean of the masked inference coarse targets) as
                # reference.]
                "r2_oos": r2_oos(
                    y_true=data["y_true"],
                    y_pred=data["y_pred"],
                    y_dummy_pred=data["y_dummy_pred"],
                    sample_weight=(
                        data["sample_weight"] if sample_weight is not None else None
                    ),
                ),
                # Root mean squared error
                "rmse": rmse(
                    y_true=data["y_true"],
                    y_pred=data["y_pred"],
                    sample_weight=(
                        data["sample_weight"] if sample_weight is not None else None
                    ),
                ),
                # Root mean squared error of the standardized target (using true
                # target statistics)
                "rmse_delta": rmse(
                    y_true=data["y_true_delta"],
                    y_pred=data["y_pred_delta"],
                    sample_weight=(
                        data["sample_weight"] if sample_weight is not None else None
                    ),
                ),
                # Mean absolute error
                "mae": mae(
                    y_true=data["y_true"],
                    y_pred=data["y_pred"],
                    sample_weight=(
                        data["sample_weight"] if sample_weight is not None else None
                    ),
                ),
                # Mean absolute error of the standardized target (using true
                # target statistics)
                "mae_delta": mae(
                    y_true=data["y_true_delta"],
                    y_pred=data["y_pred_delta"],
                    sample_weight=(
                        data["sample_weight"] if sample_weight is not None else None
                    ),
                ),
                # Mean bias error
                "mbe": mbe(
                    y_true=data["y_true"],
                    y_pred=data["y_pred"],
                    sample_weight=(
                        data["sample_weight"] if sample_weight is not None else None
                    ),
                ),
            }

            # Select solely scores of interest
            score = {
                scorer: score_i
                for scorer, score_i in score.items()
                if scorer in scorers
            }

        return score  # type: ignore

    def score_coarse(
        self,
        X_and_mask_coarse: dict[pd.Timestamp, np.ndarray | pd.DataFrame],
        y_coarse: dict[pd.Timestamp, np.ndarray | pd.Series],
        aggregate: bool = False,
        scorers: list[str] | None = None,
        sample_weight: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
    ) -> dict[pd.Timestamp, dict[str, float]]:
        """
        Predict coarse target and score for multiple images individually (if `aggregate`
        is set to `False`) or combined (if `aggregate` is set to `True`).

        Parameters
        ----------

        X_and_mask_coarse : dict[pd.Timestamp, np.ndarray or pd.DataFrame]
            Coarse predictors and masks, keyed by timestamp.

        y_coarse : dict[pd.Timestamp, np.ndarray or pd.Series]
            The "true" raw coarse target, keyed by timestamp.

        aggregate : bool, default=False
            Whether to compute scores for images individually (`False`) or combined
            (`True`).

        scorers : list[str], default=["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]
            Aliases of the scorers to consider.

        sample_weight : dict[pd.Timestamp, np.ndarray or pd.Series] None, default=None
            Weight of each sample in the score, keyed by timestamp.

        Returns
        -------

        score : dict[pd.Timestamp, dict[str, float]]
            Prediction scores for each image (if `aggregate` is set to `False`) or all
            of them combined (if `aggregate` is set to `True`)
        """

        score = self.score(
            X_and_mask_fine=X_and_mask_coarse,
            y_fine=y_coarse,
            correct=False,
            y_coarse=y_coarse,
            aggregate=aggregate,
            scorers=scorers,
            sample_weight=sample_weight,
        )

        return score

    def save(self, path: Path) -> None:
        """
        Write the instance to `path` with `joblib`.

        Parameters
        ----------
        path : Path
            Path to write the instance to.
        """

        joblib.dump(value=self, filename=path)

base_model property writable

base_model: Regressor

cols_X property writable

cols_X: list | ndarray

cols_mask property writable

cols_mask: list | ndarray

encode property writable

encode: Literal['one_hot', 'dummy'] | None

estimator instance-attribute

estimator = self.get_estimator()

is_fitted_ instance-attribute

is_fitted_ = False

lasso_alpha property writable

lasso_alpha: float

lasso_sel property writable

lasso_sel: bool

logger instance-attribute

logger = logger

max_workers property writable

max_workers: int

scale property writable

scale: Literal['standardize', 'min_max_normalize'] | None

Get the scaling method to apply to numerical predictors: - "standardize": to standardize the numerical predictors (zero mean and unit variance); - "min_max_normalize": to min-max normalize the numerical predictors (to the range [0, 1]); - None: to regard the numerical predictors raw (no scaling).

Returns:

Name Type Description
scale {standardize, min_max_normalize, None}

The scaling method to apply to numerical predictors.

show_progress instance-attribute

show_progress = show_progress

transform instance-attribute

transform = transform

__init__

__init__(
    base_model: Regressor,
    cols_X: list | ndarray,
    cols_mask: list | ndarray | None = None,
    scale: Literal["standardize", "min_max_normalize"] | None = "standardize",
    encode: Literal["one_hot", "dummy"] | None = "dummy",
    lasso_sel: bool = False,
    lasso_alpha: float = 1.0,
    transform: Literal["center", "standardize"] | None = None,
    max_workers: int = 1,
    logger: RichLogger | None = None,
    show_progress: bool = True,
) -> None

Parameters:

Name Type Description Default
base_model Regressor

The general (i.e. non-pixel-wise) base model to be fitted with coarse data.

required
cols_X list or ndarray

The names of the predictor columns to regard.

required
cols_mask list or ndarray

The names of the mask columns to regard.

None
scale (standardize, min_max_normalize, None)

The scaling method to apply to numerical predictors: - "standardize": to standardize the numerical predictors (zero mean and unit variance); - "min_max_normalize": to min-max normalize the numerical predictors (to the range [0, 1]); - None: to regard the numerical predictors raw (no scaling).

"standardize"
encode (one_hot, dummy, None)

The encoding method to apply to the categorical predictors: - "one_hot": to one-hot encode the categorical predictors; - "dummy": to dummy encode the categorical predictors (one-hot encoding with the first component dropped); - None: to regard the categorical predictors raw (no encoding).

Note that dummy encoding is usually considered in place of one-hot to avoid multicollinearity problems (one may show that a component of a one-hot encoding vector is fully determined by all the other components making it redundant).

"one_hot"
lasso_sel bool

Whether to use a Lasso regression for selecting the scaled-encoded cols_X predictors downstream of the preprocessor. Lasso selection is such that solely the input predictors associated with coefficients of the fitted Lasso regression model having absolute values larger than 1e-5 are selected. Note that the non-encoded cols_X predictors are regardlessly considered downstream of the preprocessor.

False
lasso_alpha float

The regularization strength of the Lasso regression model used for selecting the scaled-encoded cols_X predictors downstream of the preprocessor. Such regularization strength is the multiplying constant of the weight vector L1-norm (sum of the absolute values of the components) in the Lasso regression objective function. The larger the value, the stronger the regularization. Note that this parameter only takes effect if lasso_sel is True.

1.0
transform (None, center, standardize)

The transform operation of the transformed target that is estimated by the estimator: - None: if the estimator estimates the target itself (without any transformation); - "center": if the estimator estimates the centered target (that is, with the image-specific mean subtracted from it); - "standardize": if the estimator estimates standardized target (that is, with the centered target further divided by the image-specific standard deviation). Note that this has no impact when training the estimator, but when inferring with the downscaler. To make the estimator estimate a transformed target, one must issue a transformed target in training. When inferring with the downscaler, the output of the estimator is transformed to its "raw" state using statistics of the issued coarse true raw target (if and only if transform is set to estimator's transform).

None
max_workers int

Number of simultaneous multiple processes to consider in prediction and scoring with the special cases: - 1 or None: no multiprocessing is considered; - -1: all processors are used; - -k: all processors except k-1 are used.

1
logger RichLogger or None

A rich logger for showing progress of the prediction/scoring.

None
show_progress bool

True to display the downscaling progress.

True
Source code in src/s3lst_ds/downscaling/downscaling.py
def __init__(
    self,
    base_model: Regressor,
    cols_X: list | np.ndarray,
    cols_mask: list | np.ndarray | None = None,
    scale: Literal["standardize", "min_max_normalize"] | None = "standardize",
    encode: Literal["one_hot", "dummy"] | None = "dummy",
    lasso_sel: bool = False,
    lasso_alpha: float = 1.0,
    transform: Literal["center", "standardize"] | None = None,
    max_workers: int = 1,
    logger: RichLogger | None = None,
    show_progress: bool = True,
) -> None:
    """
    Initialize the downscaling model.

    Parameters
    ----------
    base_model : Regressor
        The general (i.e. non-pixel-wise) base model to be fitted with coarse data.

    cols_X : list or np.ndarray
        The names of the predictor columns to regard.

    cols_mask : list or np.ndarray, optional
        The names of the mask columns to regard.

    scale : {"standardize", "min_max_normalize", None}, default="standardize"
        The scaling method to apply to numerical predictors:
            - `"standardize"`: to standardize the numerical predictors (zero mean
            and unit variance);
            - `"min_max_normalize"`: to min-max normalize the numerical predictors
            (to the range `[0, 1]`);
            - `None`: to regard the numerical predictors raw (no scaling).

    encode : {"one_hot", "dummy", None}, default="dummy"
        The encoding method to apply to the categorical predictors:
            - `"one_hot"`: to one-hot encode the categorical predictors;
            - `"dummy"`: to dummy encode the categorical predictors (one-hot
            encoding with the first component dropped);
            - `None`: to regard the categorical predictors raw (no encoding).

        Note that dummy encoding is usually considered in place of one-hot to avoid
        multicollinearity problems (one may show that a component of a one-hot
        encoding vector is fully determined by all the other components making it
        redundant).

    lasso_sel : bool, default=False
        Whether to use a Lasso regression for selecting the scaled-encoded `cols_X`
        predictors downstream of the preprocessor. Lasso selection is such that
        solely the input predictors associated with coefficients of the fitted Lasso
        regression model having absolute values larger than `1e-5` are selected.
        Note that the non-encoded `cols_X` predictors are regardlessly considered
        downstream of the preprocessor.

    lasso_alpha : float, default=1.0
        The regularization strength of the Lasso regression model used for selecting
        the scaled-encoded `cols_X` predictors downstream of the preprocessor. Such
        regularization strength is the multiplying constant of the weight vector
        L1-norm (sum of the absolute values of the components) in the Lasso
        regression objective function. The larger the value, the stronger the
        regularization. Note that this parameter only takes effect if `lasso_sel` is
        `True`.

    transform : {None, "center", "standardize"}, default=None,
        The transform operation of the transformed target that is estimated by the
        `estimator`:
            - `None`: if the estimator estimates the target itself (without any
            transformation);
            - `"center"`: if the estimator estimates the centered target (that is,
            with the image-specific mean subtracted from it);
            - `"standardize"`: if the estimator estimates standardized target (that
            is, with the centered target further divided by the image-specific
            standard deviation).
        Note that this has no impact when training the `estimator`, but when
        inferring with the downscaler. To make the `estimator` estimate a
        transformed target, one must issue a transformed target in training. When
        inferring with the downscaler, the output of the estimator is transformed to
        its "raw" state using statistics of the issued coarse true raw target (if
        and only if `transform` is set to estimator's transform).

    max_workers : int, default=1
        Number of simultaneous multiple processes to consider in prediction and
        scoring with the special cases:
            - `1` or `None`: no multiprocessing is considered;
            - `-1`: all processors are used;
            - `-k`: all processors except k-1 are used.

    logger : RichLogger or None
        A rich logger for showing progress of the prediction/scoring.

    show_progress : bool, default=True
        `True` to display the downscaling progress.
    """
    super().__init__()
    # NOTE: attribute `is_fitted_` is set to `True` after fitting to let `sklearn`
    # know that the instance is already fitted.
    self.is_fitted_ = False
    # NOTE: base_model is a Regressor class instance and it is an attribute of the
    # an attribute of the DownscalerEstimator class instance (estimator). The latter
    # would be updated with the changes that are done on base_model even if outside
    # of the latter.
    self._base_model = base_model
    self._cols_X = cols_X
    self._cols_mask = cols_mask if cols_mask is not None else []
    self._scale = scale
    self._encode = encode
    self._lasso_sel = lasso_sel
    self._lasso_alpha = lasso_alpha
    self.transform = transform
    self.max_workers = max_workers
    self.estimator = self.get_estimator()
    self.logger = logger
    self.show_progress = show_progress

fit

fit(
    X_and_mask_coarse: ndarray | DataFrame,
    y_coarse: ndarray | Series,
    sample_weight: ndarray | Series | None = None,
) -> Self

Fit the estimator (preprocessing transformers and the general base model) to training coarse data. To make the estimator estimate a transformed target such as a centered or a standardized one, issue y_coarse with transformed true target values.

Parameters:

Name Type Description Default
X_and_mask_coarse ndarray or DataFrame

The training coarse predictors and masks.

required
y_coarse ndarray or Series

The training coarse target.

required
sample_weight ndarray or Series or None

Weight of each sample in the cost function of the model.

None

Returns:

Name Type Description
self Downscaler

The fitted instance itself.

Source code in src/s3lst_ds/downscaling/downscaling.py
def fit(
    self,
    X_and_mask_coarse: np.ndarray | pd.DataFrame,
    y_coarse: np.ndarray | pd.Series,
    sample_weight: np.ndarray | pd.Series | None = None,
) -> Self:
    """
    Fit the estimator (preprocessing transformers and the general base model) to
    training coarse data. To make the estimator estimate a transformed target such
    as a centered or a standardized one, issue `y_coarse` with transformed true
    target values.

    Parameters
    ----------

    X_and_mask_coarse : np.ndarray or pd.DataFrame
        The training coarse predictors and masks.

    y_coarse : np.ndarray or pd.Series
        The training coarse target.

    sample_weight : np.ndarray or pd.Series or None, default=None
        Weight of each sample in the cost function of the model.

    Returns
    -------

    self : Downscaler
        The fitted instance itself.

    """

    self.estimator.fit(X_and_mask_coarse, y_coarse, sample_weight=sample_weight)

    # NOTE: attribute `is_fitted_` must be set to `True` to let `sklearn` know that
    # the instance is already fitted.
    self.is_fitted_ = True

    return self

get_estimator

get_estimator() -> DownscalerEstimator
Source code in src/s3lst_ds/downscaling/downscaling.py
def get_estimator(self) -> DownscalerEstimator:
    estimator = DownscalerEstimator(
        base_model=self.base_model,
        cols_X=self.cols_X,
        cols_mask=self.cols_mask,
        scale=self.scale,
        encode=self.encode,
        lasso_sel=self.lasso_sel,
        lasso_alpha=self.lasso_alpha,
    )
    return estimator

predict

predict(
    X_and_mask_fine: dict[Timestamp, ndarray | DataFrame],
    correct: bool = True,
    X_and_mask_coarse: dict[Timestamp, ndarray | DataFrame] | None = None,
    y_coarse: dict[Timestamp, ndarray | Series] | None = None,
    coords_coarse: dict[Timestamp, Coordinates] | None = None,
    coords_fine: dict[Timestamp, Coordinates] | None = None,
    gridded: bool = True,
    dims: tuple | None = None,
    attrs: dict | None = None,
    path_out: dict[Timestamp, Path] | None = None,
    *,
    _log: bool = True,
) -> dict[Timestamp, ndarray | DataArray] | None

Predict fine target for multiple images using predict_single() for each one.

Parameters:

Name Type Description Default
X_and_mask_fine dict[Timestamp, ndarray or DataFrame]

Fine predictors and masks for each image, keyed by timestamp.

required
correct bool

Whether to correct the predicted fine raw target for each image (from fine predictors and masks, X_and_mask_fine) using the finely-resampled residual for the prediction of the coarse raw target (from coarse predictors and masks, X_and_mask_coarse).

True
X_and_mask_coarse dict[Timestamp, ndarray or DataFrame] or None

Coarse predictors and masks for each image, keyed by timestamp. It must be issued if correct is True.

None
y_coarse dict[Timestamp, ndarray or Series] or None

The "true" coarse raw target, keyed by timestamp. It must be issued if correct is True or if transform is not None.

None
coords_coarse dict[Timestamp, Coordinates] or None

The coordinates of the coarse mesh for each image, keyed by timestamp. It must be issued if correct is True.

None
coords_fine dict[Timestamp, Coordinates] or None

The coordinates of the fine mesh for each image, keyed by timestamp. It must be issued if correct or gridded are True.

None
gridded bool

Whether to return the predicted fine raw target for each image in grid form (as an xr.DataArray) or in flattened form (as a pd.Series).

True
dims tuple or None

Labels for the dimensions of the predicted target if it is returned in grid form. If not issued, it is set to ("y", "x") by default.

None
attrs dict or None

Attributes to set in the predicted target if it is returned in grid form. If not issued, it is set as in accordance with the CF conventions (https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#temperature-units): { "standard_name": "land_surface_temperature", "long_name": "Land surface temperature", "units": "K", }

None
path_out dict[Timestamp, Path] or None

The output path of the file for each predicted image, keyed by timestamp. If not issued, the predicted target is instead returned.

None
_log bool

Whether to log messages into terminal.

True

Returns:

Name Type Description
y_fine_pred dict[Timestamp, ndarray or DataArray] or None

Predicted fine raw target for each image in flattened form (as a np.ndarray, if gridded is False) or grid form (as an xr.DataArray if gridded is True). If path_out is issued, the predictions are written to files and None is instead returned.

Source code in src/s3lst_ds/downscaling/downscaling.py
def predict(
    self,
    X_and_mask_fine: dict[pd.Timestamp, np.ndarray | pd.DataFrame],
    correct: bool = True,
    X_and_mask_coarse: dict[pd.Timestamp, np.ndarray | pd.DataFrame] | None = None,
    y_coarse: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
    coords_coarse: dict[pd.Timestamp, xr.Coordinates] | None = None,
    coords_fine: dict[pd.Timestamp, xr.Coordinates] | None = None,
    gridded: bool = True,
    dims: tuple | None = None,
    attrs: dict | None = None,
    path_out: dict[pd.Timestamp, Path] | None = None,
    *,
    _log: bool = True,
) -> dict[pd.Timestamp, np.ndarray | xr.DataArray] | None:
    """
    Predict fine target for multiple images using `predict_single()` for each one.

    Parameters
    ----------

    X_and_mask_fine : dict[pd.Timestamp, np.ndarray or pd.DataFrame]
        Fine predictors and masks for each image, keyed by timestamp.

    correct : bool, default=True
        Whether to correct the predicted fine raw target for each image (from fine
        predictors and masks, `X_and_mask_fine`) using the finely-resampled residual
        for the prediction of the coarse raw target (from coarse predictors and
        masks, `X_and_mask_coarse`).

    X_and_mask_coarse : dict[pd.Timestamp, np.ndarray or pd.DataFrame] or None, default=None
        Coarse predictors and masks for each image, keyed by timestamp. It must be
        issued if `correct` is `True`.

    y_coarse : dict[pd.Timestamp, np.ndarray or pd.Series] or None, default=None
        The "true" coarse raw target, keyed by timestamp. It must be issued if
        `correct` is `True` or if `transform` is not `None`.

    coords_coarse : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
        The coordinates of the coarse mesh for each image, keyed by timestamp. It
        must be issued if `correct` is `True`.

    coords_fine : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
        The coordinates of the fine mesh for each image, keyed by timestamp. It must
        be issued if `correct` or `gridded` are `True`.

    gridded : bool, default=True
        Whether to return the predicted fine raw target for each image in grid form
        (as an `xr.DataArray`) or in flattened form (as a `pd.Series`).

    dims : tuple or None, default=None
        Labels for the dimensions of the predicted target if it is returned in grid
        form. If not issued, it is set to ("y", "x") by default.

    attrs : dict or None, default=None
        Attributes to set in the predicted target if it is returned in grid form. If
        not issued, it is set as in accordance with the CF conventions
        (https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#temperature-units):
            {
                "standard_name": "land_surface_temperature", "long_name": "Land
                surface temperature", "units": "K",
            }

    path_out : dict[pd.Timestamp, Path] or None, default=None
        The output path of the file for each predicted image, keyed by timestamp. If
        not issued, the predicted target is instead returned.

    _log : bool, default=True
        Whether to log messages into terminal.

    Returns
    -------

    y_fine_pred : dict[pd.Timestamp, np.ndarray or xr.DataArray] or None
        Predicted fine raw target for each image in flattened form (as a
        `np.ndarray`, if `gridded` is `False`) or grid form (as an `xr.DataArray` if
        `gridded` is `True`). If `path_out` is issued, the predictions are written
        to files and `None` is instead returned.
    """

    if self.logger is not None and _log is True:
        self.logger.info("Predicting raw target...")

    # Transform parameters valued as None into dictionaries with None values (one
    # per image)
    X_and_mask_coarse = (
        X_and_mask_coarse
        if X_and_mask_coarse is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )
    y_coarse = (
        y_coarse
        if y_coarse is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )
    coords_coarse = (
        coords_coarse
        if coords_coarse is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )
    coords_fine = (
        coords_fine
        if coords_fine is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )
    path_out = (
        path_out
        if path_out is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )

    # Define progress bar
    pbar = (
        tqdm(
            # Prefix for the progressbar
            bar_format=f"{'':9}" + "{l_bar}{bar}{r_bar}",
            desc=f"{'':8}",
            total=len(X_and_mask_fine.keys()),  # type: ignore
            unit="timestamp",
            position=0,
            leave=True,  # Keep progress on the screen after completion.
            options={"console": self.logger.console},
        )
        if self.show_progress is True and self.logger is not None
        else None
    )

    # Predict fine raw targets as a dictionary
    y_fine_pred = {}
    if self.max_workers != 1:
        with ProcessPoolExecutor(max_workers=self.max_workers) as executor:
            # List of placeholders for the eventual result of a computation
            futures = {
                # NOTE: Using executor.submit() can be safely used as key of
                # dictionary since executor.submit() returns a Future object
                # (https://docs.python.org/3/library/asyncio-future.html#future-object)
                # and all of these objects are unique and hashable.
                executor.submit(
                    self.predict_single,
                    timestamp=timestamp,
                    X_and_mask_fine=X_and_mask_fine[timestamp],
                    correct=correct,
                    X_and_mask_coarse=X_and_mask_coarse[timestamp],  # type: ignore
                    y_coarse=y_coarse[timestamp],  # type: ignore
                    coords_coarse=coords_coarse[timestamp],  # type: ignore
                    coords_fine=coords_fine[timestamp],  # type: ignore
                    dims=dims,
                    attrs=attrs,
                    gridded=gridded,
                    path_out=path_out[timestamp],  # type: ignore
                ): timestamp
                for timestamp in X_and_mask_fine  # type: ignore
            }

            for future in as_completed(futures):
                # Add result to dictionary of results
                timestamp = futures[future]
                y_fine_pred[timestamp] = future.result()

                # Update progress bar with one more count per completed process
                if pbar is not None:
                    pbar.update()

        # Make dictionary of predictions be ordered as input X_and_mask_fine
        # NOTE: multiprocessing may output results in a different order.
        y_fine_pred = {
            timestamp: y_fine_pred[timestamp] for timestamp in X_and_mask_fine
        }

    else:
        for timestamp in X_and_mask_fine:  # noqa: PLC0206
            y_fine_pred[timestamp] = self.predict_single(
                timestamp=timestamp,
                X_and_mask_fine=X_and_mask_fine[timestamp],
                correct=correct,
                X_and_mask_coarse=X_and_mask_coarse[timestamp],  # type: ignore
                y_coarse=y_coarse[timestamp],  # type: ignore
                coords_coarse=coords_coarse[timestamp],  # type: ignore
                coords_fine=coords_fine[timestamp],  # type: ignore
                gridded=gridded,
                dims=dims,
                attrs=attrs,
                path_out=path_out[timestamp],  # type: ignore
            )

            # Update progress bar with one more count per completed process
            if pbar is not None:
                pbar.update()

    # At the end close progress bar
    if pbar is not None:
        pbar.close()

    # Convert y_fine_pred to None if it any of their values was written to files.
    if None not in path_out.values():  # type: ignore
        y_fine_pred = None

    return y_fine_pred  # type: ignore

predict_coarse

predict_coarse(
    X_and_mask_coarse: dict[Timestamp, ndarray | DataFrame],
    y_coarse: dict[Timestamp, ndarray | Series] | None = None,
    coords_coarse: dict[Timestamp, Coordinates] | None = None,
    gridded: bool = True,
    dims: tuple | None = None,
    attrs: dict | None = None,
    path_out: dict[Timestamp, Path] | None = None,
) -> dict[Timestamp, ndarray | DataArray] | None

Predict coarse target for multiple images.

Parameters:

Name Type Description Default
X_and_mask_coarse dict[Timestamp, ndarray or DataFrame]

Coarse predictors and masks for each image, keyed by timestamp.

required
y_coarse dict[Timestamp, ndarray or Series] or None

The "true" coarse raw target, keyed by timestamp. It must be issued if transform is not None.

None
coords_coarse dict[Timestamp, Coordinates] or None

The coordinates of the coarse mesh for each image, keyed by timestamp. It must be issued if gridded is True.

None
gridded bool

Whether to return the predicted coarse raw target for each image in grid form (as an xr.DataArray) or in flattened form (as a pd.Series).

True
dims tuple or None

Labels for the dimensions of the predicted target if it is returned in grid form. If not issued, it is set to ("y", "x") by default.

None
attrs dict or None

Attributes to set in the predicted target if it is returned in grid form. If not issued, it is set as in accordance with the CF conventions (https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#temperature-units): { "standard_name": "land_surface_temperature", "long_name": "Land surface temperature", "units": "K", }

None
path_out dict[Timestamp, Path] or None

The output path of the file for each predicted image, keyed by timestamp. If not issued, the predicted target is instead returned.

None

Returns:

Name Type Description
y_coarse_pred dict[Timestamp, ndarray or DataArray] or None

Predicted coarse raw target for each image in flattened form (as a np.ndarray, if gridded is False) or grid form (as an xr.DataArray if gridded is True). If path_out is issued, the predictions are written to files and None is instead returned.

Source code in src/s3lst_ds/downscaling/downscaling.py
def predict_coarse(
    self,
    X_and_mask_coarse: dict[pd.Timestamp, np.ndarray | pd.DataFrame],
    y_coarse: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
    coords_coarse: dict[pd.Timestamp, xr.Coordinates] | None = None,
    gridded: bool = True,
    dims: tuple | None = None,
    attrs: dict | None = None,
    path_out: dict[pd.Timestamp, Path] | None = None,
) -> dict[pd.Timestamp, np.ndarray | xr.DataArray] | None:
    """
    Predict coarse target for multiple images.

    Parameters
    ----------

    X_and_mask_coarse : dict[pd.Timestamp, np.ndarray or pd.DataFrame]
        Coarse predictors and masks for each image, keyed by timestamp.

    y_coarse : dict[pd.Timestamp, np.ndarray or pd.Series] or None, default=None
        The "true" coarse raw target, keyed by timestamp. It must be issued if
        `transform` is not `None`.

    coords_coarse : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
        The coordinates of the coarse mesh for each image, keyed by timestamp. It
        must be issued if `gridded` is `True`.

    gridded : bool, default=True
        Whether to return the predicted coarse raw target for each image in grid
        form (as an `xr.DataArray`) or in flattened form (as a `pd.Series`).

    dims : tuple or None, default=None
        Labels for the dimensions of the predicted target if it is returned in grid
        form. If not issued, it is set to ("y", "x") by default.

    attrs : dict or None, default=None
        Attributes to set in the predicted target if it is returned in grid form. If
        not issued, it is set as in accordance with the CF conventions
        (https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#temperature-units):
            {
                "standard_name": "land_surface_temperature", "long_name": "Land
                surface temperature", "units": "K",
            }

    path_out : dict[pd.Timestamp, Path] or None, default=None
        The output path of the file for each predicted image, keyed by timestamp. If
        not issued, the predicted target is instead returned.

    Returns
    -------

    y_coarse_pred : dict[pd.Timestamp, np.ndarray or xr.DataArray] or None
        Predicted coarse raw target for each image in flattened form (as a
        `np.ndarray`, if `gridded` is `False`) or grid form (as an `xr.DataArray` if
        `gridded` is `True`). If `path_out` is issued, the predictions are written
        to files and `None` is instead returned.
    """

    y_coarse_pred = self.predict(
        X_and_mask_fine=X_and_mask_coarse,
        correct=False,
        y_coarse=y_coarse,
        coords_fine=coords_coarse,
        gridded=gridded,
        dims=dims,
        attrs=attrs,
        path_out=path_out,
    )

    return y_coarse_pred

predict_single

predict_single(
    timestamp: Timestamp,
    X_and_mask_fine: ndarray | DataFrame,
    correct: bool = True,
    X_and_mask_coarse: ndarray | DataFrame | None = None,
    y_coarse: ndarray | Series | None = None,
    coords_coarse: Coordinates | None = None,
    coords_fine: Coordinates | None = None,
    gridded: bool = True,
    dims: tuple | None = None,
    attrs: dict | None = None,
    path_out: Path | None = None,
) -> ndarray | DataArray | None

Predict fine raw target from fine predictors and masks (X_and_mask_fine). Additionally, if correct is set to True, correct prediction with finely-resampled residuals associated with the prediction of coarse raw target from coarse predictors and masks (X_and_mask_coarse). Note that to compute such residuals, the "true" coarse raw target (y_coarse) and the coarse and fine grid coordinates (coords_coarse and coords_fine) must be also issued. An estimator that estimates a centered or standardized target (identifiable through attribute transform) considers raw target coarse statistics in the respective transformations. To re-transform the target back to a "raw" state, the statistics of the issued y_coarse are herein used.

Note that this method only predicts for a single image. To predict for multiple images, use predict().

Parameters:

Name Type Description Default
timestamp Timestamp

Timestamp associated with the data.

required
X_and_mask_fine ndarray or DataFrame

Fine predictors and masks.

required
correct bool

Whether to correct the predicted fine raw target (from fine predictors and masks, X_and_mask_fine) using the finely-resampled residual for the prediction of the coarse raw target (from coarse predictors and masks, X_and_mask_coarse).

True
X_and_mask_coarse ndarray or DataFrame or None

Coarse predictors and masks. It must be issued if correct is True.

None
y_coarse ndarray or Series or None

The "true" coarse raw target. It must be issued if correct is True or if transform is not None.

None
coords_coarse Coordinates or None

The coordinates of the coarse mesh. It must be issued if correct is True.

None
coords_fine Coordinates or None

The coordinates of the fine mesh. It must be issued if correct or gridded are True.

None
gridded bool

Whether to return the predicted fine raw target in grid form (as an xr.DataArray) or flattened form (as a pd.Series).

True
dims tuple or None

Labels for the dimensions of the predicted target if it is returned in grid form. If not issued, it is set to ("lat", "lon") by default.

None
attrs dict or None

Attributes to set in the predicted target if it is returned in grid form. If not issued, it is set as in accordance with the CF conventions (https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#temperature-units): { "standard_name": "land_surface_temperature", "long_name": "Land surface temperature", "units": "K", }

None
path_out Path or None

The output path of the file for the predicted image. If not issued the predicted target is instead returned.

None

Returns:

Name Type Description
y_fine_pred ndarray or DataArray or None

Predicted fine raw target in flattened form (as a np.ndarray, if gridded is False) or grid form (as an xr.DataArray if gridded is True). If path_out is issued, the prediction is written to file and None is instead returned.

Source code in src/s3lst_ds/downscaling/downscaling.py
def predict_single(
    self,
    timestamp: pd.Timestamp,
    X_and_mask_fine: np.ndarray | pd.DataFrame,
    correct: bool = True,
    X_and_mask_coarse: np.ndarray | pd.DataFrame | None = None,
    y_coarse: np.ndarray | pd.Series | None = None,
    coords_coarse: xr.Coordinates | None = None,
    coords_fine: xr.Coordinates | None = None,
    gridded: bool = True,
    dims: tuple | None = None,
    attrs: dict | None = None,
    path_out: Path | None = None,
) -> np.ndarray | xr.DataArray | None:
    """
    Predict fine raw target from fine predictors and masks (`X_and_mask_fine`).
    Additionally, if `correct` is set to `True`, correct prediction with
    finely-resampled residuals associated with the prediction of coarse raw target
    from coarse predictors and masks (`X_and_mask_coarse`). Note that to compute
    such residuals, the "true" coarse raw target (`y_coarse`) and the coarse and
    fine grid coordinates (`coords_coarse` and `coords_fine`) must be also issued.
    An estimator that estimates a centered or standardized target (identifiable
    through attribute `transform`) considers raw target coarse statistics in the
    respective transformations. To re-transform the target back to a "raw" state,
    the statistics of the issued `y_coarse` are herein used.

    Note that this method only predicts for a single image. To predict for multiple
    images, use `predict()`.

    Parameters
    ----------

    timestamp : pd.Timestamp
        Timestamp associated with the data.

    X_and_mask_fine : np.ndarray or pd.DataFrame
        Fine predictors and masks.

    correct : bool, default=True
        Whether to correct the predicted fine raw target (from fine predictors and
        masks, `X_and_mask_fine`) using the finely-resampled residual for the
        prediction of the coarse raw target (from coarse predictors and masks,
        `X_and_mask_coarse`).

    X_and_mask_coarse : np.ndarray or pd.DataFrame or None, default=None
        Coarse predictors and masks. It must be issued if `correct` is `True`.

    y_coarse : np.ndarray or pd.Series or None, default=None
        The "true" coarse raw target. It must be issued if `correct` is `True` or if
        `transform` is not `None`.

    coords_coarse : xarray.core.coordinates.Coordinates or None, default=None
        The coordinates of the coarse mesh. It must be issued if `correct` is
        `True`.

    coords_fine : xarray.core.coordinates.Coordinates or None, default=None
        The coordinates of the fine mesh. It must be issued if `correct` or
        `gridded` are `True`.

    gridded : bool, default=True
        Whether to return the predicted fine raw target in grid form (as an
        `xr.DataArray`) or flattened form (as a `pd.Series`).

    dims : tuple or None, default=None
        Labels for the dimensions of the predicted target if it is returned in grid
        form. If not issued, it is set to ("lat", "lon") by default.

    attrs : dict or None, default=None
        Attributes to set in the predicted target if it is returned in grid form. If
        not issued, it is set as in accordance with the CF conventions
        (https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#temperature-units):
            {
                "standard_name": "land_surface_temperature",
                "long_name": "Land surface temperature",
                "units": "K",
            }

    path_out : Path or None, default=None
        The output path of the file for the predicted image. If not issued the
        predicted target is instead returned.

    Returns
    -------

    y_fine_pred : np.ndarray or xr.DataArray or None
        Predicted fine raw target in flattened form (as a `np.ndarray`, if `gridded`
        is `False`) or grid form (as an `xr.DataArray` if `gridded` is `True`). If
        `path_out` is issued, the prediction is written to file and `None` is
        instead returned.

    """
    # Parse dims and attrs parameters
    dims = dims if dims is not None else ("lat", "lon")
    attrs = (
        attrs
        if attrs is not None
        else {
            "standard_name": "land_surface_temperature",
            "long_name": "Land surface temperature",
            "units": "K",
        }
    )

    # Raise error if residual correction is to be performed but required parameters
    # are missing
    if correct is True and any(
        elem is None
        for elem in [X_and_mask_coarse, y_coarse, coords_coarse, coords_fine]
    ):
        raise TypeError(
            "Parameters 'X_and_mask_coarse', 'y_coarse', 'coords_coarse' and"
            " 'coords_fine' must also be issued to perform residual"
            " correction."
        )
    # Raise error if transformation of predicted target into raw state is to be
    # performed but required parameters are missing
    if self.transform is not None and y_coarse is None:
        raise TypeError(
            "Parameter 'y_coarse' must also be issued to transform predicted"
            " target into raw state."
        )

    # Raise error if the predicted target is wanted in grid form (not in ravelled
    # one) but required parameters are missing
    if gridded is True and coords_fine is None:
        raise TypeError(
            "Parameter 'coords_fine' must also be issued to make predicted"
            " target gridded."
        )

    # Convert true coarse raw target to a pandas Series if it is not already and
    # residual correction is considered or the estimator estimates centered or
    # standardized target (such condition would require usage of the true coarse
    # target)
    if not isinstance(y_coarse, pd.Series) and (
        correct is True or self.transform is not None
    ):
        y_coarse = pd.Series(y_coarse)

    # Predict fine target from fine predictors and masks using the the preprocessor
    # and the base model
    y_fine_pred = pd.Series(self.estimator.predict(X_and_mask_fine))

    # Transform predicted fine target to raw state using the true target coarse
    # statistics
    if self.transform == "center":
        y_fine_pred = y_fine_pred + y_coarse.mean()  # type: ignore
    elif self.transform == "standardize":
        y_fine_pred = y_fine_pred * y_coarse.std() + y_coarse.mean()  # type: ignore

    # If gridded prediction or residual correction are wanted, transform the
    # predicted fine raw target into grid form
    # NOTE: residual correction involves reprojection of the coarse residual into
    # the fine grid. The grid of the gridded predicted fine raw target may be used
    # as target of the matching reprojection.
    if gridded is True or correct is True:
        # Get shape of the fine grid
        shape_fine = tuple(reversed(list(coords_fine.sizes.values())))  # type: ignore

        y_fine_pred = xr.DataArray(
            data=y_fine_pred.values.reshape(  # type: ignore
                shape_fine  # type: ignore
            ),
            coords=coords_fine,
            dims=("y", "x"),
            name="LST",
        )

    # If residual correction is wanted, correct the prediction using finely-resample
    # residuals associated with the prediction of the coarse target
    if correct is True:
        # Predict coarse target from coarse predictors and masks
        y_coarse_pred = pd.Series(self.estimator.predict(X_and_mask_coarse))  # type: ignore

        # Transform predicted coarse target to raw state using the true target
        # coarse statistics
        if self.transform == "center":
            y_coarse_pred = y_coarse_pred + y_coarse.mean()  # type: ignore
        elif self.transform == "standardize":
            y_coarse_pred = (
                y_coarse_pred * y_coarse.std() + y_coarse.mean()  # type: ignore
            )

        # Compute respective residuals
        res_coarse = y_coarse - y_coarse_pred  # type: ignore

        # Get shape of the coarse grid
        shape_coarse = tuple(reversed(list(coords_coarse.sizes.values())))  # type: ignore

        # Express the residuals in the coarse grid
        res_coarse = xr.DataArray(
            data=res_coarse.values.reshape(shape_coarse),  # type: ignore
            coords=coords_coarse,
            dims=("y", "x"),
            name="LST",
        )

        # Refine the residuals by reprojecting then to the fine grid
        res_coarse_refined = selective_reproject_match(
            data_src=res_coarse,
            data_target=y_fine_pred,  # type: ignore
        )

        # Correct the fine raw target
        y_fine_pred = y_fine_pred + res_coarse_refined

        # If ravelled (flat) predicted fine raw target is wanted, ravel it
        if gridded is False:
            y_fine_pred = y_fine_pred.values.ravel()  # type: ignore

    # In case of gridded prediction, set type, NODATA value, dimension labels and
    # attributes of the data
    if gridded is True:
        # Set data type
        y_fine_pred = y_fine_pred.astype("float32")

        # Set time coordinate
        # WARNING: it is herein assumed that the timestamp is in the UTC timezone.
        y_fine_pred = y_fine_pred.expand_dims(  # type: ignore
            dim={"time": [timestamp.tz_localize("UTC")]}
        )

        # Write NODATA value
        y_fine_pred.rio.write_nodata(  # type: ignore
            input_nodata=-999,
            encoded=True,
            inplace=True,
        )

        # Set dimension labels
        if dims is not None:
            y_fine_pred = y_fine_pred.rename({"y": dims[0], "x": dims[1]})

        # Set attributes
        if attrs is not None:
            y_fine_pred.attrs = attrs  # type: ignore
            y_fine_pred["time"].attrs = {
                "axis": "T",
                "standard_name": "time",
                "long_name": "Start sensing time of the satellite acquisition",
            }

    # If writing to file, write the predicted fine raw target
    if path_out is not None:
        # Create output directory if it does not exist
        path_out.parent.mkdir(  # type: ignore
            parents=True,
            exist_ok=True,
        )
        # Write to file
        if gridded is False:
            path_out = path_out.with_suffix(".csv")
            np.savetxt(fname=path_out, X=y_fine_pred)  # type: ignore

        else:
            # NOTE: rioxarray `to_raster()` cannot handle writing to NetCDF files,
            # but `to_netcdf()` can.
            if path_out.suffix == ".nc":
                # NetCDF cannot handle pd.Timestamp type. Time will be converted to
                # seconds since 1972-01-01 00:00:00 UTC, as in accordance with CF
                # conventions
                # NOTE: see https://cf-convention.github.io/Data/cf-conventions/cf-conventions-1.13/cf-conventions.pdf#page=42
                y_fine_pred["time"] = (
                    y_fine_pred["time"] - pd.Timestamp("1972-01-01 00:00:00Z")
                ).dt.total_seconds()  # type: ignore
                y_fine_pred["time"].attrs = {  # type: ignore
                    "standard_name": "time",
                    "long_name": "Time",
                    "axis": "T",
                    "units": "seconds since 1972-1-1 00:00:00Z",
                    "calendar": "proleptic_gregorian",
                }

                y_fine_pred.to_netcdf(path_out)  # type: ignore
            else:
                # In the case of no suffix, `to_raster()` considers GeoTIFF.
                if path_out.suffix in [""]:
                    path_out = path_out.with_suffix(".tif")

                y_fine_pred.rio.to_raster(path_out)  # type: ignore

        # Set y_fine_pred to None to return None at the end of the function
        y_fine_pred = None

    return y_fine_pred  # type: ignore

save

save(path: Path) -> None

Write the instance to path with joblib.

Parameters:

Name Type Description Default
path Path

Path to write the instance to.

required
Source code in src/s3lst_ds/downscaling/downscaling.py
def save(self, path: Path) -> None:
    """
    Write the instance to `path` with `joblib`.

    Parameters
    ----------
    path : Path
        Path to write the instance to.
    """

    joblib.dump(value=self, filename=path)

score

score(
    X_and_mask_fine: dict[Timestamp, ndarray | DataFrame],
    y_fine: dict[Timestamp, ndarray | Series],
    correct: bool = True,
    calibrate: bool = False,
    X_and_mask_coarse: dict[Timestamp, ndarray | DataFrame] | None = None,
    y_coarse: dict[Timestamp, ndarray | Series] | None = None,
    coords_coarse: dict[Timestamp, Coordinates] | None = None,
    coords_fine: dict[Timestamp, Coordinates] | None = None,
    aggregate: bool = False,
    scorers: list[str] | None = None,
    sample_weight: dict[Timestamp, ndarray | Series] | None = None,
) -> dict[Timestamp, dict[str, float]]

Predict fine target and score for multiple images individually (if aggregate is set to False) or combined (if aggregate is set to True).

Parameters:

Name Type Description Default
X_and_mask_fine dict[Timestamp, ndarray or DataFrame]

Fine predictors and masks, keyed by timestamp.

required
y_fine dict[Timestamp, ndarray or Series]

The "true" fine raw target, keyed by timestamp.

required
correct bool

Whether to correct the predicted fine raw target (from fine predictors and masks, X_and_mask_fine) using the finely-resampled residual for the prediction of the coarse raw target (from coarse predictors and masks, X_and_mask_coarse).

True
calibrate bool

Whether to calibrate the predicted fine target with the coarse validation target for each timestamp. This is done by offsetting and scaling the predicted fine target with the transform that makes the coarse true target (y_coarse) have the same mean and standard deviation as the validation coarse one (coarsened y_fine) for each timestamp. Such transformation is an attempt to account for discrepancies between source and validation platforms at a common coarse grid from the computed scores.

False
X_and_mask_coarse dict[Timestamp, ndarray or DataFrame] or None

Coarse predictors and masks, keyed by timestamp. It must be issued if correct is True.

None
y_coarse dict[Timestamp, ndarray or Series] or None

The "true" coarse raw target, keyed by timestamp. It must be issued if correct or calibrate are True or if transform is not None.

None
coords_coarse dict[Timestamp, Coordinates] or None

The coordinates of the coarse mesh for each image, keyed by timestamp. It must be issued if correct or calibrate are True.

None
coords_fine dict[Timestamp, Coordinates] or None

The coordinates of the fine mesh for each image, keyed by timestamp. It must be issued if correct or calibrate are True.

None
aggregate bool

Whether to compute scores for images individually (False) or combined (True).

False
scorers list[str]

Aliases of the scorers to consider.

["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]
sample_weight dict[Timestamp, ndarray or Series] or None

Weight of each sample in the score, keyed by timestamp.

None

Returns:

Name Type Description
score dict[Timestamp, dict[str, float]]

Prediction scores for each image (if aggregate is set to False) or all of them combined (if aggregate is set to True).

Source code in src/s3lst_ds/downscaling/downscaling.py
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def score(
    self,
    X_and_mask_fine: dict[pd.Timestamp, np.ndarray | pd.DataFrame],
    y_fine: dict[pd.Timestamp, np.ndarray | pd.Series],
    correct: bool = True,
    calibrate: bool = False,
    X_and_mask_coarse: dict[pd.Timestamp, np.ndarray | pd.DataFrame] | None = None,
    y_coarse: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
    coords_coarse: dict[pd.Timestamp, xr.Coordinates] | None = None,
    coords_fine: dict[pd.Timestamp, xr.Coordinates] | None = None,
    aggregate: bool = False,
    scorers: list[str] | None = None,
    sample_weight: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
) -> dict[pd.Timestamp, dict[str, float]]:
    """
    Predict fine target and score for multiple images individually (if `aggregate`
    is set to `False`) or combined (if `aggregate` is set to `True`).

    Parameters
    ----------

    X_and_mask_fine : dict[pd.Timestamp, np.ndarray or pd.DataFrame]
        Fine predictors and masks, keyed by timestamp.

    y_fine : dict[pd.Timestamp, np.ndarray or pd.Series]
        The "true" fine raw target, keyed by timestamp.

    correct : bool, default=True
        Whether to correct the predicted fine raw target (from fine predictors and
        masks, `X_and_mask_fine`) using the finely-resampled residual for the
        prediction of the coarse raw target (from coarse predictors and masks,
        `X_and_mask_coarse`).

    calibrate : bool, default=False
        Whether to calibrate the predicted fine target with the coarse validation
        target for each timestamp. This is done by offsetting and scaling the
        predicted fine target with the transform that makes the coarse true target
        (`y_coarse`) have the same mean and standard deviation as the validation
        coarse one (coarsened `y_fine`) for each timestamp. Such transformation is
        an attempt to account for discrepancies between source and validation
        platforms at a common coarse grid from the computed scores.

    X_and_mask_coarse : dict[pd.Timestamp, np.ndarray or pd.DataFrame] or None, default=None
        Coarse predictors and masks, keyed by timestamp. It must be issued if
        `correct` is `True`.

    y_coarse : dict[pd.Timestamp, np.ndarray or pd.Series] or None, default=None
        The "true" coarse raw target, keyed by timestamp. It must be issued if
        `correct` or `calibrate` are `True` or if `transform` is not `None`.

    coords_coarse : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
        The coordinates of the coarse mesh for each image, keyed by timestamp. It
        must be issued if `correct` or `calibrate` are `True`.

    coords_fine : dict[pd.Timestamp, xarray.core.coordinates.Coordinates] or None, default=None
        The coordinates of the fine mesh for each image, keyed by timestamp. It must
        be issued if `correct` or `calibrate` are `True`.

    aggregate : bool, default=False
        Whether to compute scores for images individually (`False`) or combined
        (`True`).

    scorers : list[str], default=["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]
        Aliases of the scorers to consider.

    sample_weight : dict[pd.Timestamp, np.ndarray or pd.Series] or None, default=None
        Weight of each sample in the score, keyed by timestamp.

    Returns
    -------

    score : dict[pd.Timestamp, dict[str, float]]
        Prediction scores for each image (if `aggregate` is set to `False`) or all
        of them combined (if `aggregate` is set to `True`).
    """

    if self.logger is not None:
        self.logger.info("Predicting raw target and scoring...")

    # Define default value for scorers argument
    if scorers is None:
        scorers = ["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]

    # Transform parameters valued as None into dictionaries with None values (one
    # per image)
    X_and_mask_coarse = (
        X_and_mask_coarse
        if X_and_mask_coarse is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )
    y_fine = (
        y_fine
        if y_fine is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )
    y_coarse = (
        y_coarse
        if y_coarse is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )
    coords_coarse = (
        coords_coarse
        if coords_coarse is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )
    coords_fine = (
        coords_fine
        if coords_fine is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )
    sample_weight = (
        sample_weight
        if sample_weight is not None
        else dict.fromkeys(X_and_mask_fine.keys(), None)  # type: ignore
    )

    if aggregate is False:
        # Define progress bar
        pbar = (
            tqdm(
                # Prefix for the progressbar
                bar_format=f"{'':9}" + "{l_bar}{bar}{r_bar}",
                desc=f"{'':8}",
                total=len(X_and_mask_fine.keys()),  # type: ignore
                unit="timestamp",
                position=0,
                leave=True,  # Keep progress on the screen after completion.
                options={"console": self.logger.console},
            )
            if self.show_progress is True and self.logger is not None
            else None
        )

        # Predict scores as a dictionary
        score = {}
        if self.max_workers != 1:
            with ProcessPoolExecutor(max_workers=self.max_workers) as executor:
                # List of placeholders for the eventual result of a computation
                futures = {
                    # NOTE: Using executor.submit() can be safely used as key of
                    # dictionary since executor.submit() returns a Future object
                    # (https://docs.python.org/3/library/asyncio-future.html#future-object)
                    # and all of these objects are unique and hashable.
                    executor.submit(
                        self.score_single,
                        timestamp=timestamp,
                        X_and_mask_fine=X_and_mask_fine[timestamp],
                        y_fine=y_fine[timestamp],
                        correct=correct,
                        calibrate=calibrate,
                        X_and_mask_coarse=X_and_mask_coarse[timestamp],  # type: ignore
                        y_coarse=y_coarse[timestamp],  # type: ignore
                        coords_coarse=coords_coarse[timestamp],  # type: ignore
                        coords_fine=coords_fine[timestamp],  # type: ignore
                        scorers=scorers,
                        sample_weight=sample_weight[timestamp],  # type: ignore
                    ): timestamp
                    for timestamp in X_and_mask_fine  # type: ignore
                }

                for future in as_completed(futures):
                    # Add result to dictionary of results
                    timestamp = futures[future]
                    score[timestamp] = future.result()

                    # Update progress bar with one more count per completed process
                    if pbar is not None:
                        pbar.update()

            # Make dictionary of scores be ordered as input X_and_mask_fine
            # NOTE: multiprocessing may output results in a different order.
            score = {timestamp: score[timestamp] for timestamp in X_and_mask_fine}  # type: ignore

        else:
            for timestamp in X_and_mask_fine:  # noqa: PLC0206
                score[timestamp] = self.score_single(
                    timestamp=timestamp,
                    X_and_mask_fine=X_and_mask_fine[timestamp],
                    y_fine=y_fine[timestamp],
                    correct=correct,
                    calibrate=calibrate,
                    X_and_mask_coarse=X_and_mask_coarse[timestamp],  # type: ignore
                    y_coarse=y_coarse[timestamp],  # type: ignore
                    coords_coarse=coords_coarse[timestamp],  # type: ignore
                    coords_fine=coords_fine[timestamp],  # type: ignore
                    scorers=scorers,
                    sample_weight=sample_weight[timestamp],  # type: ignore
                )
                # Update progress bar with one more count per completed process
                if pbar is not None:
                    pbar.update()

        # At the end close progress bar
        if pbar is not None:
            pbar.close()

    # If parameter "aggregate" is True, score for the combined data
    else:
        # Raise error if transformation of predicted target into raw state is to
        # be performed but required parameters are missing
        if self.transform is not None and y_coarse is None:
            raise TypeError(
                "Parameter 'y_coarse' must also be issued to transform"
                + " predicted target into raw state."
            )

        # Convert true fine raw target for each image to pandas Series if it is
        # not already.
        y_fine = {
            timestamp: (
                pd.Series(y_fine[timestamp])
                if not isinstance(y_fine[timestamp], pd.Series)
                else y_fine[timestamp]
            )
            for timestamp in X_and_mask_fine  # type: ignore
        }

        # Get statistics of true fine raw target for each image (to use them
        # later to compute RMSE of the standardized target)
        y_fine_mean = {
            timestamp: y_fine[timestamp].mean()  # type: ignore
            for timestamp in X_and_mask_fine  # type: ignore
        }
        y_fine_std = {
            timestamp: y_fine[timestamp].std()  # type: ignore
            for timestamp in X_and_mask_fine  # type: ignore
        }

        # Compute standardized true fine target for each image (using true fine
        # raw target statistics)
        y_fine_delta = {
            timestamp: (y_fine[timestamp] - y_fine_mean[timestamp])
            / y_fine_std[timestamp]
            for timestamp in X_and_mask_fine  # type: ignore
        }

        # Predict raw fine target for each image
        y_fine_pred = {
            timestamp: pd.Series(value)  # type: ignore
            for timestamp, value in self.predict(
                X_and_mask_fine=X_and_mask_fine,
                correct=correct,
                X_and_mask_coarse=X_and_mask_coarse,  # type: ignore
                y_coarse=y_coarse,
                coords_coarse=coords_coarse,
                coords_fine=coords_fine,
                gridded=False,
                _log=False,
            ).items()  # type: ignore
        }

        # Predict raw fine target for each image using the dummy mean model
        # NOTE: this is required for computing out-of-sample coefficient of
        # determination.
        y_fine_dummy_pred = {
            timestamp: pd.Series(
                self.estimator.pipeline.named_steps[
                    "regressor"
                ].dummy_mean_model.predict(X_and_mask_fine[timestamp])
                * (
                    y_coarse[timestamp].std()  # type: ignore
                    if self.transform == "standardize"
                    else 1
                )
                + (
                    y_coarse[timestamp].mean()  # type: ignore
                    if self.transform is not None
                    else 0
                )
            )
            for timestamp in X_and_mask_fine  # type: ignore
        }

        # Calibrate the fine targets predicted by downscaler and dummy mean model
        # with the transform that would make the coarse true target have the same
        # mean and standard deviation as the coarsened fine validation one.
        if calibrate is True:
            # Express coarse true target in its grid
            shape_coarse = {
                timestamp: tuple(
                    reversed(list(coords_coarse[timestamp].sizes.values()))  # type: ignore
                )  # type: ignore
                for timestamp in X_and_mask_fine
            }
            y_coarse_grid = {
                timestamp: xr.DataArray(
                    data=(
                        y_coarse[timestamp].values  # type: ignore
                        if isinstance(y_coarse[timestamp], pd.Series)  # type: ignore
                        else y_coarse[timestamp]  # type: ignore
                    ).reshape(  # type: ignore
                        shape_coarse[timestamp]  # type: ignore
                    ),
                    coords=coords_coarse[timestamp],  # type: ignore
                    dims=("y", "x"),
                    name="LST",
                )
                for timestamp in X_and_mask_fine
            }

            # Express fine validation target in its  grid
            shape_fine = {
                timestamp: tuple(
                    reversed(list(coords_fine[timestamp].sizes.values()))  # type: ignore
                )  # type: ignore
                for timestamp in X_and_mask_fine
            }  # type: ignore
            y_fine_grid = {
                timestamp: xr.DataArray(
                    data=(
                        y_fine[timestamp].values  # type: ignore
                        if isinstance(y_fine[timestamp], pd.Series)  # type: ignore
                        else y_fine[timestamp]
                    ).reshape(  # type: ignore
                        shape_fine[timestamp]  # type: ignore
                    ),
                    coords=coords_fine[timestamp],  # type: ignore
                    dims=("y", "x"),
                    name="LST",
                )
                for timestamp in X_and_mask_fine
            }

            # Reproject fine validation target to coarse grid
            y_fine_coarse = {
                timestamp: selective_reproject_match(
                    data_src=y_fine_grid[timestamp],  # type: ignore
                    data_target=y_coarse_grid[timestamp],  # type: ignore
                )
                for timestamp in X_and_mask_fine  # type: ignore
            }

            # Calibrate fine target predicted by downscaler
            # NOTE: https://math.stackexchange.com/a/2943606/209790
            y_fine_pred = {
                timestamp: (
                    y_fine_coarse[timestamp].mean().item()  # type: ignore
                    + y_fine_coarse[timestamp].std().item()  # type: ignore
                    / y_coarse[timestamp].std()  # type: ignore
                    * (y_fine_pred[timestamp] - y_coarse[timestamp].mean())  # type: ignore
                )
                for timestamp in X_and_mask_fine  # type: ignore
            }

            # Calibrate fine target predicted by dummy mean model
            y_fine_dummy_pred = {
                timestamp: (
                    y_fine_coarse[timestamp].mean().item()  # type: ignore
                    + y_fine_coarse[timestamp].std().item()  # type: ignore
                    / y_coarse[timestamp].std()  # type: ignore
                    * (y_fine_dummy_pred[timestamp] - y_coarse[timestamp].mean())  # type: ignore
                )
                for timestamp in X_and_mask_fine  # type: ignore
            }

        # Compute standardized predicted fine target for each image (using true fine
        # raw target statistics)
        y_fine_pred_delta = {
            timestamp: (y_fine_pred[timestamp] - y_fine_mean[timestamp])
            / y_fine_std[timestamp]
            for timestamp in X_and_mask_fine  # type: ignore
        }

        # Combine variables of all timestamps
        y_fine = pd.concat(y_fine, ignore_index=True)  # type: ignore
        y_fine_pred = pd.concat(y_fine_pred, ignore_index=True)  # type: ignore
        y_fine_dummy_pred = pd.concat(y_fine_dummy_pred, ignore_index=True)  # type: ignore
        y_fine_delta = pd.concat(y_fine_delta, ignore_index=True)  # type: ignore
        y_fine_pred_delta = pd.concat(y_fine_pred_delta, ignore_index=True)  # type: ignore
        sample_weight = (
            pd.concat(sample_weight, ignore_index=True)  # type: ignore
            if not any(value is None for value in sample_weight.values())  # type: ignore
            else None
        )
        # Combine the true and predicted targets into a common DataFrame (so that
        # all records containing any nan may be later dropped and the prediction
        # score afterwards computed)
        data = pd.DataFrame(
            data={
                "y_true": y_fine,
                "y_pred": y_fine_pred,
                "y_dummy_pred": y_fine_dummy_pred,
                "y_true_delta": y_fine_delta,
                "y_pred_delta": y_fine_pred_delta,
                **(
                    {
                        "sample_weight": sample_weight,
                    }
                    if sample_weight is not None
                    else {}
                ),
            }
        )

        # Drop nan
        data = data.dropna()

        # Compute prediction score
        score = {
            # Coefficient of determination
            "r2": r2(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Out-of-sample coefficient of determination
            # [NOTE: this is such that it uses a dummy mean model (simply the
            # arithmetic mean of the masked inference coarse targets) as
            # reference.]
            "r2_oos": r2_oos(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                y_dummy_pred=data["y_dummy_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Root mean squared error
            "rmse": rmse(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Root mean squared error of the standardized target (using true
            # target statistics)
            "rmse_delta": rmse(
                y_true=data["y_true_delta"],
                y_pred=data["y_pred_delta"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Mean absolute error
            "mae": mae(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Mean absolute error of the standardized target (using true
            # target statistics)
            "mae_delta": mae(
                y_true=data["y_true_delta"],
                y_pred=data["y_pred_delta"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
            # Mean bias error
            "mbe": mbe(
                y_true=data["y_true"],
                y_pred=data["y_pred"],
                sample_weight=(
                    data["sample_weight"] if sample_weight is not None else None
                ),
            ),
        }

        # Select solely scores of interest
        score = {
            scorer: score_i
            for scorer, score_i in score.items()
            if scorer in scorers
        }

    return score  # type: ignore

score_coarse

score_coarse(
    X_and_mask_coarse: dict[Timestamp, ndarray | DataFrame],
    y_coarse: dict[Timestamp, ndarray | Series],
    aggregate: bool = False,
    scorers: list[str] | None = None,
    sample_weight: dict[Timestamp, ndarray | Series] | None = None,
) -> dict[Timestamp, dict[str, float]]

Predict coarse target and score for multiple images individually (if aggregate is set to False) or combined (if aggregate is set to True).

Parameters:

Name Type Description Default
X_and_mask_coarse dict[Timestamp, ndarray or DataFrame]

Coarse predictors and masks, keyed by timestamp.

required
y_coarse dict[Timestamp, ndarray or Series]

The "true" raw coarse target, keyed by timestamp.

required
aggregate bool

Whether to compute scores for images individually (False) or combined (True).

False
scorers list[str]

Aliases of the scorers to consider.

["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]
sample_weight dict[pd.Timestamp, np.ndarray or pd.Series] None

Weight of each sample in the score, keyed by timestamp.

None

Returns:

Name Type Description
score dict[Timestamp, dict[str, float]]

Prediction scores for each image (if aggregate is set to False) or all of them combined (if aggregate is set to True)

Source code in src/s3lst_ds/downscaling/downscaling.py
def score_coarse(
    self,
    X_and_mask_coarse: dict[pd.Timestamp, np.ndarray | pd.DataFrame],
    y_coarse: dict[pd.Timestamp, np.ndarray | pd.Series],
    aggregate: bool = False,
    scorers: list[str] | None = None,
    sample_weight: dict[pd.Timestamp, np.ndarray | pd.Series] | None = None,
) -> dict[pd.Timestamp, dict[str, float]]:
    """
    Predict coarse target and score for multiple images individually (if `aggregate`
    is set to `False`) or combined (if `aggregate` is set to `True`).

    Parameters
    ----------

    X_and_mask_coarse : dict[pd.Timestamp, np.ndarray or pd.DataFrame]
        Coarse predictors and masks, keyed by timestamp.

    y_coarse : dict[pd.Timestamp, np.ndarray or pd.Series]
        The "true" raw coarse target, keyed by timestamp.

    aggregate : bool, default=False
        Whether to compute scores for images individually (`False`) or combined
        (`True`).

    scorers : list[str], default=["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]
        Aliases of the scorers to consider.

    sample_weight : dict[pd.Timestamp, np.ndarray or pd.Series] None, default=None
        Weight of each sample in the score, keyed by timestamp.

    Returns
    -------

    score : dict[pd.Timestamp, dict[str, float]]
        Prediction scores for each image (if `aggregate` is set to `False`) or all
        of them combined (if `aggregate` is set to `True`)
    """

    score = self.score(
        X_and_mask_fine=X_and_mask_coarse,
        y_fine=y_coarse,
        correct=False,
        y_coarse=y_coarse,
        aggregate=aggregate,
        scorers=scorers,
        sample_weight=sample_weight,
    )

    return score

score_single

score_single(
    timestamp: Timestamp,
    X_and_mask_fine: ndarray | DataFrame,
    y_fine: ndarray | Series,
    correct: bool = True,
    calibrate: bool = False,
    X_and_mask_coarse: ndarray | DataFrame | None = None,
    y_coarse: ndarray | Series | None = None,
    coords_coarse: Coordinates | None = None,
    coords_fine: Coordinates | None = None,
    scorers: list[str] | None = None,
    sample_weight: ndarray | Series | None = None,
) -> dict[str, float]

Predict raw fine target and score the prediction.

Note that this method only predicts and scores for a single image. To predict and score for multiple images, use score().

Parameters:

Name Type Description Default
timestamp Timestamp

Timestamp associated with the data.

required
X_and_mask_fine ndarray or DataFrame

Fine predictors and masks.

required
y_fine ndarray or Series

The "true" raw fine target.

required
correct bool

Whether to correct the predicted fine raw target (from fine predictors and masks, X_and_mask_fine) using the finely-resampled residual for the prediction of the coarse raw target (from coarse predictors and masks, X_and_mask_coarse).

True
calibrate bool

Whether to calibrate the predicted fine target with the coarse validation target. This is done by offsetting and scaling the predicted fine target with the transform that makes the coarse true target (y_coarse) have the same mean and standard deviation as the validation coarse one (coarsened y_fine). Such transformation is an attempt to account for discrepancies between source and validation platforms at a common coarse grid from the computed scores.

False
X_and_mask_coarse ndarray or DataFrame or None

Coarse predictors and masks. It must be issued if correct is True.

None
y_coarse ndarray or Series or None

The "true" raw coarse target. It must be issued if correct or calibrate are True or transform is not None.

None
coords_coarse Coordinates or None

The coordinates of the coarse mesh. It must be issued if correct or calibrate are True.

None
coords_fine Coordinates or None

The coordinates of the fine mesh. It must be issued if correct or calibrate are True.

None
scorers list[str]

Aliases of the scorers to consider.

["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]
sample_weight ndarray or Series or None

Weight of each sample in the score.

None

Returns:

Name Type Description
score dict[str, float]

Prediction scores.

Source code in src/s3lst_ds/downscaling/downscaling.py
def score_single(
    self,
    timestamp: pd.Timestamp,
    X_and_mask_fine: np.ndarray | pd.DataFrame,
    y_fine: np.ndarray | pd.Series,
    correct: bool = True,
    calibrate: bool = False,
    X_and_mask_coarse: np.ndarray | pd.DataFrame | None = None,
    y_coarse: np.ndarray | pd.Series | None = None,
    coords_coarse: xr.Coordinates | None = None,
    coords_fine: xr.Coordinates | None = None,
    scorers: list[str] | None = None,
    sample_weight: np.ndarray | pd.Series | None = None,
) -> dict[str, float]:
    """
    Predict raw fine target and score the prediction.

    Note that this method only predicts and scores for a single image. To predict
    and score for multiple images, use `score()`.

    Parameters
    ----------
    timestamp : pd.Timestamp
        Timestamp associated with the data.

    X_and_mask_fine : np.ndarray or pd.DataFrame
        Fine predictors and masks.

    y_fine : np.ndarray or pd.Series
        The "true" raw fine target.

    correct : bool, default=True
        Whether to correct the predicted fine raw target (from fine predictors and
        masks, `X_and_mask_fine`) using the finely-resampled residual for the
        prediction of the coarse raw target (from coarse predictors and masks,
        `X_and_mask_coarse`).

    calibrate : bool, default=False
        Whether to calibrate the predicted fine target with the coarse validation
        target. This is done by offsetting and scaling the predicted fine target
        with the transform that makes the coarse true target (`y_coarse`) have the
        same mean and standard deviation as the validation coarse one (coarsened
        `y_fine`). Such transformation is an attempt to account for discrepancies
        between source and validation platforms at a common coarse grid from the
        computed scores.

    X_and_mask_coarse : np.ndarray or pd.DataFrame or None, default=None
        Coarse predictors and masks. It must be issued if `correct` is `True`.

    y_coarse : np.ndarray or pd.Series or None, default=None
        The "true" raw coarse target. It must be issued if `correct` or `calibrate`
        are `True` or `transform` is not `None`.

    coords_coarse : xarray.core.coordinates.Coordinates or None, default=None
        The coordinates of the coarse mesh. It must be issued if `correct` or
        `calibrate` are `True`.

    coords_fine : xarray.core.coordinates.Coordinates or None, default=None
        The coordinates of the fine mesh. It must be issued if `correct` or
        `calibrate` are `True`.


    scorers : list[str], default=["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]
        Aliases of the scorers to consider.

    sample_weight : np.ndarray or pd.Series or None, default=None
        Weight of each sample in the score.

    Returns
    -------

    score : dict[str, float]
        Prediction scores.
    """

    # Define default value for scorers argument
    if scorers is None:
        scorers = ["r2", "r2_oos", "rmse", "rmse_delta", "mae", "mae_delta", "mbe"]

    # If y_fine is a Series, reset its indexes. The analogous follows for
    # sample_weight. This is required, since indexes of y_fine, y_fine_pred and
    # y_fine_dummy_pred and sample_weight should match when combining them into a
    # single DataFrame afterwards.
    if isinstance(y_fine, pd.Series):
        y_fine = y_fine.reset_index(drop=True)
    if isinstance(sample_weight, pd.Series):
        sample_weight = sample_weight.reset_index(drop=True)

    # Predict raw fine target
    y_fine_pred = pd.Series(
        self.predict_single(
            timestamp=timestamp,
            X_and_mask_fine=X_and_mask_fine,
            correct=correct,
            X_and_mask_coarse=X_and_mask_coarse,
            y_coarse=y_coarse,
            coords_coarse=coords_coarse,
            coords_fine=coords_fine,
            gridded=False,
        )  # type: ignore
    )

    # Predict raw fine target from predictors using the dummy mean model
    # NOTE: this is required for computing out-of-sample coefficient of
    # determination
    y_fine_dummy_pred = self.estimator.pipeline.named_steps[
        "regressor"
    ].dummy_mean_model.predict(X_and_mask_fine) * (
        y_coarse.std() if self.transform == "standardize" else 1  # type: ignore
    ) + (
        y_coarse.mean() if self.transform is not None else 0  # type: ignore
    )

    # Calibrate the fine targets predicted by downscaler and dummy mean model with
    # the transform that would make the coarse true target have the same mean and
    # standard deviation as the coarsened fine validation one.
    if calibrate is True:
        # Express coarse true target in its grid
        shape_coarse = tuple(reversed(list(coords_coarse.sizes.values())))  # type: ignore
        y_coarse_grid = xr.DataArray(
            data=(
                y_coarse.values if isinstance(y_coarse, pd.Series) else y_coarse
            ).reshape(  # type: ignore
                shape_coarse  # type: ignore
            ),
            coords=coords_coarse,
            dims=("y", "x"),
            name="LST",
        )

        # Express fine validation target in its grid
        shape_fine = tuple(reversed(list(coords_fine.sizes.values())))  # type: ignore
        y_fine_grid = xr.DataArray(
            data=(
                y_fine.values if isinstance(y_fine, pd.Series) else y_fine
            ).reshape(  # type: ignore
                shape_fine  # type: ignore
            ),
            coords=coords_fine,
            dims=("y", "x"),
            name="LST",
        )

        # Reproject fine validation target to coarse grid
        y_fine_coarse = selective_reproject_match(
            data_src=y_fine_grid,
            data_target=y_coarse_grid,  # type: ignore
        )

        # Calibrate fine target predicted by downscaler
        # NOTE: https://math.stackexchange.com/a/2943606/209790
        y_fine_pred = (
            y_fine_coarse.mean().item()  # type: ignore
            + y_fine_coarse.std().item()  # type: ignore
            / y_coarse.std()  # type: ignore
            * (y_fine_pred - y_coarse.mean())  # type: ignore
        )

        # Calibrate fine target predicted by dummy mean model
        y_fine_dummy_pred = (
            y_fine_coarse.mean().item()  # type: ignore
            + y_fine_coarse.std().item()  # type: ignore
            / y_coarse.std()  # type: ignore
            * (y_fine_dummy_pred - y_coarse.mean())  # type: ignore
        )

    # Combine the true and predicted raw targets into a same DataFrame (so that all
    # records containing any nan may be later dropped and the prediction score
    # afterwards computed)
    data = pd.DataFrame(
        data={
            "y_true": y_fine,
            "y_pred": y_fine_pred,
            "y_dummy_pred": y_fine_dummy_pred,
            **(
                {
                    "sample_weight": sample_weight,
                }
                if sample_weight is not None
                else {}
            ),
        }
    )

    # Drop nan
    data = data.dropna()

    # Compute prediction score
    score = {
        # Coefficient of determination
        "r2": r2(
            y_true=data["y_true"],
            y_pred=data["y_pred"],
            sample_weight=(
                data["sample_weight"] if sample_weight is not None else None
            ),
        ),
        # Out-of-sample coefficient of determination
        # [NOTE: this is such that it uses a dummy mean model (simply the arithmetic
        # mean of the masked inference coarse targets) as reference.]
        "r2_oos": r2_oos(
            y_true=data["y_true"],
            y_pred=data["y_pred"],
            y_dummy_pred=data["y_dummy_pred"],
            sample_weight=(
                data["sample_weight"] if sample_weight is not None else None
            ),
        ),
        # Root mean squared error
        "rmse": rmse(
            y_true=data["y_true"],
            y_pred=data["y_pred"],
            sample_weight=(
                data["sample_weight"] if sample_weight is not None else None
            ),
        ),
        # Root mean squared error of the standardized target (using true target
        # statistics)
        "rmse_delta": rmse_delta(
            y_true=data["y_true"],
            y_pred=data["y_pred"],
            sample_weight=(
                data["sample_weight"] if sample_weight is not None else None
            ),
        ),
        # Mean absolute error
        "mae": mae(
            y_true=data["y_true"],
            y_pred=data["y_pred"],
            sample_weight=(
                data["sample_weight"] if sample_weight is not None else None
            ),
        ),
        # Mean absolute error of the standardized target (using true
        # target statistics)
        "mae_delta": mae_delta(
            y_true=data["y_true"],
            y_pred=data["y_pred"],
            sample_weight=(
                data["sample_weight"] if sample_weight is not None else None
            ),
        ),
        # Mean bias error
        "mbe": mbe(
            y_true=data["y_true"],
            y_pred=data["y_pred"],
            sample_weight=(
                data["sample_weight"] if sample_weight is not None else None
            ),
        ),
    }

    # Select solely scores of interest
    score = {
        scorer: score_i for scorer, score_i in score.items() if scorer in scorers
    }

    return score