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plot_score_time_series

yohou.plotting.plot_score_time_series(scorer, y_truth, y_pred, *, compare_by='scorer', columns=None, groups=None, facet_by='member', facet_n_cols=2, color_palette=None, show_legend=True, title=None, x_label=None, y_label=None, width=None, height=None, connect_gaps=False, resampler=None, line_width=2.0, line_dash='solid', line_opacity=1.0, show_markers=False)

Plot scorer values over time for one or more forecasts.

Evaluates forecast quality at each timestep by computing the scorer with componentwise aggregation, then plots the resulting score time series. Useful for identifying periods where forecast performance varies.

Parameters

Name Type Description Default
scorer BaseScorer or dict[str, BaseScorer]

Yohou scorer instance (e.g., MeanAbsoluteError, RootMeanSquaredError). Will be cloned and configured with aggregation_method="componentwise".

  • If BaseScorer: single scorer to evaluate.
  • If dict: keys are scorer names, values are scorer instances. When combined with dict y_pred, the compare_by parameter controls which dimension is faceted vs overlaid.
required
y_truth DataFrame

Ground truth values with 'time' column.

required
y_pred DataFrame or dict[str, DataFrame]

Predicted values with 'vintage_time' and 'time' columns. - If DataFrame: single forecast to plot - If dict: multiple forecasts with keys as model names

required
compare_by str

When both scorer and y_pred are dicts, controls which dimension is overlaid (colored lines) vs faceted (subplots):

  • "scorer": overlay scorers, facet by model.
  • "model": overlay models, facet by scorer.

Ignored when either scorer or y_pred is not a dict.

"scorer"
columns str | list[str] | None

Target column name(s) to include in the score. When groups is set, acts as a member postfix filter (e.g. "a" selects group__a). When None, all score columns are used.

None
groups list[str] | None

Panel group prefixes for faceted subplots. When provided, each group gets its own subplot showing the score time series for that group. Groups are resolved via inspect_panel against y_truth.

None
facet_by Literal['group', 'member', 'vintage'] | None

Faceting axis for panel data or vintage data. "group" creates one subplot per group, "member" one per member. "vintage" creates one subplot per vintage_time value found in y_pred, showing how score evolves across forecast origins. None disables faceting. "group" and "member" are ignored for non-panel data.

"member"
facet_n_cols int

Number of columns in the facet grid when groups is used.

2
color_palette list[str] | None

Custom color palette as hex codes. If None, uses yohou palette.

None
show_legend bool

Whether to show legend when plotting multiple forecasts.

True
title str | None

Plot title. If None, generates title from scorer name.

None
x_label str | None

X-axis label. Defaults to "time".

None
y_label str | None

Y-axis label. If None, uses scorer class name.

None
width int | None

Plot width in pixels.

None
height int | None

Plot height in pixels.

None
connect_gaps bool

Whether to connect gaps in the data with lines.

False
resampler bool | Literal['widget'] | None

Enable plotly-resampler for large datasets. True creates a FigureResampler, "widget" a FigureWidgetResampler; False or None uses a plain go.Figure.

None
line_width float

Width of score lines.

2.0
line_dash str

Dash style of score lines.

"solid"
line_opacity float

Opacity of score lines.

1.0
show_markers bool

Whether to show markers on the lines.

False

Returns

Type Description
Figure

Plotly figure object.

Raises

Type Description
TypeError

If y_truth or y_pred is not a Polars DataFrame.

ValueError

If DataFrames are empty or missing required columns, if scorer is a dict (multi-scorer) and panel data is detected in y_truth, or if scorer is a dict and facet_by="vintage".

Examples

>>> import polars as pl
>>> from datetime import datetime
>>> from yohou.metrics import MeanAbsoluteError
>>> from yohou.plotting import plot_score_time_series
>>> # Create sample data
>>> y_truth = pl.DataFrame({
...     "time": [datetime(2020, 1, 1), datetime(2020, 1, 2), datetime(2020, 1, 3)],
...     "value": [10.0, 20.0, 30.0],
... })
>>> y_pred = pl.DataFrame({
...     "vintage_time": [datetime(2019, 12, 31)] * 3,
...     "time": [datetime(2020, 1, 1), datetime(2020, 1, 2), datetime(2020, 1, 3)],
...     "value": [12.0, 19.0, 28.0],
... })
>>> # Plot score time series for single forecast
>>> scorer = MeanAbsoluteError()
>>> fig = plot_score_time_series(scorer, y_truth, y_pred)
>>> len(fig.data)
1
>>> # Plot multiple forecasts
>>> y_pred2 = pl.DataFrame({
...     "vintage_time": [datetime(2019, 12, 31)] * 3,
...     "time": [datetime(2020, 1, 1), datetime(2020, 1, 2), datetime(2020, 1, 3)],
...     "value": [11.0, 21.0, 29.0],
... })
>>> fig = plot_score_time_series(scorer, y_truth, {"Model A": y_pred, "Model B": y_pred2})
>>> len(fig.data)
2

See Also

Notes

  • The scorer is automatically cloned and configured with the appropriate componentwise aggregation method; interval scorers receive ["componentwise", "coveragewise"] automatically. Do not set aggregation_method yourself.
  • Requires scorer to support componentwise aggregation
  • All scores are computed independently at each timestep
  • Use facet_by="vintage" to compare score curves across forecast origins (requires y_pred with multiple vintage_time values)

Source Code

Source code in src/yohou/plotting/evaluation.py
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def plot_score_time_series(
    scorer: BaseScorer | dict[str, BaseScorer],
    y_truth: pl.DataFrame,
    y_pred: pl.DataFrame | dict[str, pl.DataFrame],
    *,
    compare_by: Literal["scorer", "model"] = "scorer",
    columns: str | list[str] | None = None,
    groups: list[str] | None = None,
    facet_by: Literal["group", "member", "vintage"] | None = "member",
    facet_n_cols: int = 2,
    color_palette: list[str] | None = None,
    show_legend: bool = True,
    title: str | None = None,
    x_label: str | None = None,
    y_label: str | None = None,
    width: int | None = None,
    height: int | None = None,
    connect_gaps: bool = False,
    resampler: bool | Literal["widget"] | None = None,
    line_width: float = 2.0,
    line_dash: str = "solid",
    line_opacity: float = 1.0,
    show_markers: bool = False,
) -> go.Figure:
    """Plot scorer values over time for one or more forecasts.

    Evaluates forecast quality at each timestep by computing the scorer with
    componentwise aggregation, then plots the resulting score time series.
    Useful for identifying periods where forecast performance varies.

    Parameters
    ----------
    scorer : BaseScorer or dict[str, BaseScorer]
        Yohou scorer instance (e.g., MeanAbsoluteError, RootMeanSquaredError).
        Will be cloned and configured with aggregation_method="componentwise".

        - If BaseScorer: single scorer to evaluate.
        - If dict: keys are scorer names, values are scorer instances.
          When combined with dict ``y_pred``, the ``compare_by`` parameter
          controls which dimension is faceted vs overlaid.
    y_truth : pl.DataFrame
        Ground truth values with 'time' column.
    y_pred : pl.DataFrame or dict[str, pl.DataFrame]
        Predicted values with 'vintage_time' and 'time' columns.
        - If DataFrame: single forecast to plot
        - If dict: multiple forecasts with keys as model names
    compare_by : str, default="scorer"
        When both ``scorer`` and ``y_pred`` are dicts, controls which
        dimension is overlaid (colored lines) vs faceted (subplots):

        - ``"scorer"``: overlay scorers, facet by model.
        - ``"model"``: overlay models, facet by scorer.

        Ignored when either ``scorer`` or ``y_pred`` is not a dict.
    columns : str | list[str] | None, default=None
        Target column name(s) to include in the score.  When
        *groups* is set, acts as a member postfix filter
        (e.g. ``"a"`` selects ``group__a``).  When ``None``, all score
        columns are used.
    groups : list[str] | None, default=None
        Panel group prefixes for faceted subplots.  When provided, each
        group gets its own subplot showing the score time series for that
        group.  Groups are resolved via ``inspect_panel`` against
        *y_truth*.
    facet_by : Literal["group", "member", "vintage"] | None, default="member"
        Faceting axis for panel data or vintage data.  ``"group"`` creates
        one subplot per group, ``"member"`` one per member. ``"vintage"``
        creates one subplot per ``vintage_time`` value found in *y_pred*,
        showing how score evolves across forecast origins.
        ``None`` disables faceting. ``"group"`` and ``"member"`` are
        ignored for non-panel data.
    facet_n_cols : int, default=2
        Number of columns in the facet grid when *groups* is
        used.
    color_palette : list[str] | None, default=None
        Custom color palette as hex codes. If None, uses yohou palette.
    show_legend : bool, default=True
        Whether to show legend when plotting multiple forecasts.
    title : str | None, default=None
        Plot title. If None, generates title from scorer name.
    x_label : str | None, default=None
        X-axis label. Defaults to "time".
    y_label : str | None, default=None
        Y-axis label. If None, uses scorer class name.
    width : int | None, default=None
        Plot width in pixels.
    height : int | None, default=None
        Plot height in pixels.
    connect_gaps : bool, default=False
        Whether to connect gaps in the data with lines.
    resampler : bool | Literal["widget"] | None, default=None
        Enable plotly-resampler for large datasets.  ``True`` creates a
        ``FigureResampler``, ``"widget"`` a ``FigureWidgetResampler``;
        ``False`` or ``None`` uses a plain ``go.Figure``.
    line_width : float, default=2.0
        Width of score lines.
    line_dash : str, default="solid"
        Dash style of score lines.
    line_opacity : float, default=1.0
        Opacity of score lines.
    show_markers : bool, default=False
        Whether to show markers on the lines.

    Returns
    -------
    go.Figure
        Plotly figure object.

    Raises
    ------
    TypeError
        If y_truth or y_pred is not a Polars DataFrame.
    ValueError
        If DataFrames are empty or missing required columns, if *scorer*
        is a dict (multi-scorer) and panel data is detected in *y_truth*,
        or if *scorer* is a dict and ``facet_by="vintage"``.

    Examples
    --------
    >>> import polars as pl
    >>> from datetime import datetime
    >>> from yohou.metrics import MeanAbsoluteError
    >>> from yohou.plotting import plot_score_time_series

    >>> # Create sample data
    >>> y_truth = pl.DataFrame({
    ...     "time": [datetime(2020, 1, 1), datetime(2020, 1, 2), datetime(2020, 1, 3)],
    ...     "value": [10.0, 20.0, 30.0],
    ... })
    >>> y_pred = pl.DataFrame({
    ...     "vintage_time": [datetime(2019, 12, 31)] * 3,
    ...     "time": [datetime(2020, 1, 1), datetime(2020, 1, 2), datetime(2020, 1, 3)],
    ...     "value": [12.0, 19.0, 28.0],
    ... })

    >>> # Plot score time series for single forecast
    >>> scorer = MeanAbsoluteError()
    >>> fig = plot_score_time_series(scorer, y_truth, y_pred)
    >>> len(fig.data)
    1

    >>> # Plot multiple forecasts
    >>> y_pred2 = pl.DataFrame({
    ...     "vintage_time": [datetime(2019, 12, 31)] * 3,
    ...     "time": [datetime(2020, 1, 1), datetime(2020, 1, 2), datetime(2020, 1, 3)],
    ...     "value": [11.0, 21.0, 29.0],
    ... })
    >>> fig = plot_score_time_series(scorer, y_truth, {"Model A": y_pred, "Model B": y_pred2})
    >>> len(fig.data)
    2

    See Also
    --------
    [`plot_residuals`][yohou.plotting.plot_residuals] : Plot residual diagnostics.
    [`plot_forecast`][yohou.plotting.plot_forecast] : Plot forecasts with historical data.

    Notes
    -----
    - The scorer is automatically cloned and configured with the appropriate
      componentwise aggregation method; interval scorers receive
      ``["componentwise", "coveragewise"]`` automatically. Do not set
      ``aggregation_method`` yourself.
    - Requires scorer to support componentwise aggregation
    - All scores are computed independently at each timestep
    - Use ``facet_by="vintage"`` to compare score curves across forecast
      origins (requires ``y_pred`` with multiple ``vintage_time`` values)

    """
    # Validate ground truth
    validate_plotting_data(y_truth)
    validate_plotting_params(width=width, height=height)

    # Normalize inputs
    y_pred_dict = _normalize_y_pred(y_pred)
    scorer_dict = _normalize_scorers(scorer)

    # Prepare and fit each scorer for componentwise aggregation
    scorer_cw_dict: dict[str, BaseScorer] = {}
    for s_name, s in scorer_dict.items():
        s_cw = _prepare_scorer_for_componentwise(s)
        s_cw.fit(y_truth)
        scorer_cw_dict[s_name] = s_cw

    n_scorers = len(scorer_cw_dict)
    n_models = len(y_pred_dict)
    multi_scorer = n_scorers > 1

    # Auto-detect panel data
    _, _panel_groups = inspect_panel(y_truth)
    if groups is None and _panel_groups:
        groups = []

    if groups is not None:
        if facet_by == "vintage":
            msg = "facet_by='vintage' cannot be combined with panel groups. Use facet_by='group' or 'member' for panel data."
            raise ValueError(msg)
        if multi_scorer:
            msg = (
                "Multi-scorer is not supported with panel data in plot_score_time_series. Pass a single scorer instead."
            )
            raise ValueError(msg)
        first_key = next(iter(scorer_dict))
        first_scorer = scorer_dict[first_key]
        first_scorer_cw = scorer_cw_dict[first_key]
        colors = resolve_color_palette(color_palette, n_models)
        return _plot_score_time_series_panel(
            scorer_componentwise=first_scorer_cw,
            y_truth=y_truth,
            y_pred_dict=y_pred_dict,
            groups=groups,
            facet_n_cols=facet_n_cols,
            colors=colors,
            scorer=first_scorer,
            show_legend=show_legend,
            title=title,
            x_label=x_label,
            y_label=y_label,
            width=width,
            height=height,
            connect_gaps=connect_gaps,
            resampler=resampler,
            columns=columns,
            line_width=line_width,
            line_dash=line_dash,
            line_opacity=line_opacity,
            show_markers=show_markers,
        )

    # Case: facet_by="vintage" -> one subplot per vintage_time value
    if facet_by == "vintage":
        if multi_scorer:
            msg = "Multi-scorer is not supported with facet_by='vintage'. Pass a single scorer instead."
            raise ValueError(msg)

        first_key = next(iter(scorer_dict))
        first_scorer = scorer_dict[first_key]
        first_scorer_cw = scorer_cw_dict[first_key]

        # Collect all vintage labels across models
        all_vintages: list = []
        cw_results: dict[str, pl.DataFrame] = {}
        for model_name, y_pred_model in y_pred_dict.items():
            cw_df = _compute_componentwise_scores(first_scorer_cw, y_truth, y_pred_model, columns)
            cw_results[model_name] = cw_df
            if "vintage_time" in cw_df.columns:
                for v in cw_df["vintage_time"].unique().sort().to_list():
                    if v not in all_vintages:
                        all_vintages.append(v)

        if len(all_vintages) < 2:
            msg = (
                "facet_by='vintage' requires predictions with multiple vintages "
                "(multiple vintage_time values). The provided y_pred has a single vintage."
            )
            raise ValueError(msg)

        n_vintages = len(all_vintages)
        n_cols_grid = min(n_vintages, facet_n_cols)
        n_rows = (n_vintages + n_cols_grid - 1) // n_cols_grid
        colors = resolve_color_palette(color_palette, n_models)

        vintage_labels = [str(v) for v in reversed(all_vintages)]
        fig = _create_subplots(
            resampler,
            rows=n_rows,
            cols=n_cols_grid,
            subplot_titles=vintage_labels,
            shared_xaxes=True,
            vertical_spacing=min(0.04, 0.3 / max(n_rows - 1, 1)),
            horizontal_spacing=0.08,
        )

        mode = "lines+markers" if show_markers else "lines"
        legend_tracker = LegendTracker()

        for vintage_idx, vintage_val in enumerate(all_vintages):
            rev_idx = n_vintages - 1 - vintage_idx
            row = rev_idx // n_cols_grid + 1
            col = rev_idx % n_cols_grid + 1

            for model_idx, (model_name, cw_df) in enumerate(cw_results.items()):
                if "vintage_time" not in cw_df.columns:
                    continue
                vintage_df = cw_df.filter(pl.col("vintage_time") == vintage_val)
                if vintage_df.is_empty():
                    continue

                fig.add_trace(
                    go.Scatter(
                        x=vintage_df["time"],
                        y=vintage_df["score"],
                        mode=mode,
                        name=model_name,
                        legendgroup=model_name,
                        showlegend=legend_tracker.should_show(model_name),
                        line={"color": colors[model_idx], "width": line_width, "dash": line_dash},
                        opacity=line_opacity,
                        marker={"size": 6} if show_markers else None,
                        connectgaps=connect_gaps,
                        hovertemplate=_make_hovertemplate(model_name, "Time", "Score", decimals=3),
                    ),
                    row=row,
                    col=col,
                )

        scorer_name = first_scorer.__class__.__name__
        default_title = title or f"{scorer_name} Over Time"
        row_height = 300
        default_height = max(row_height * n_rows, 400)

        fig = apply_default_layout(
            fig,
            title=default_title,
            x_label=x_label or "Time",
            y_label=y_label or scorer_name,
            width=width,
            height=height or default_height,
        )
        fig.update_layout(showlegend=show_legend)
        return fig

    mode = "lines+markers" if show_markers else "lines"

    # Case: multi-scorer AND multi-model -> faceted subplots
    if multi_scorer and n_models > 1:
        _warn_large_grid(n_scorers, n_models)

        if compare_by == "model":
            # Facet by scorer, overlay models
            facet_labels = list(scorer_cw_dict.keys())
            overlay_labels = list(y_pred_dict.keys())
        else:
            # Facet by model, overlay scorers
            facet_labels = list(y_pred_dict.keys())
            overlay_labels = list(scorer_cw_dict.keys())

        n_facets = len(facet_labels)
        n_cols = min(facet_n_cols, n_facets)
        n_rows = (n_facets + n_cols - 1) // n_cols
        colors = resolve_color_palette(color_palette, len(overlay_labels))

        fig = make_subplots(
            rows=n_rows,
            cols=n_cols,
            subplot_titles=facet_labels,
            shared_xaxes=True,
            vertical_spacing=_subplot_spacing(n_rows),
        )

        legend_tracker = LegendTracker()

        for facet_idx, facet_label in enumerate(facet_labels):
            row = facet_idx // n_cols + 1
            col = facet_idx % n_cols + 1

            for overlay_idx, overlay_label in enumerate(overlay_labels):
                if compare_by == "model":
                    s_cw = scorer_cw_dict[facet_label]
                    y_pm = y_pred_dict[overlay_label]
                else:
                    s_cw = scorer_cw_dict[overlay_label]
                    y_pm = y_pred_dict[facet_label]

                cw_df = _compute_componentwise_scores(s_cw, y_truth, y_pm, columns)

                _add_vintage_traces(
                    fig,
                    cw_df,
                    x_col="time",
                    y_col="score",
                    name=overlay_label,
                    color=colors[overlay_idx],
                    line_width=line_width,
                    line_dash=line_dash,
                    base_opacity=line_opacity,
                    mode=mode,
                    show_markers=show_markers,
                    connect_gaps=connect_gaps,
                    showlegend=legend_tracker.should_show(overlay_label),
                    row=row,
                    col=col,
                )

        default_title = title or "Score Over Time"
        row_height = 300
        default_height = max(row_height * n_rows, 400)

        fig = apply_default_layout(
            fig,
            title=default_title,
            x_label=x_label or "Time",
            y_label=y_label or "Score",
            width=width,
            height=height or default_height,
        )
        fig.update_layout(showlegend=show_legend)
        return fig

    # Case: single figure (single scorer or single model)
    fig = _create_figure(resampler)

    if multi_scorer:
        # Overlay scorers (single model case)
        colors = resolve_color_palette(color_palette, n_scorers)
        y_pred_single = next(iter(y_pred_dict.values()))

        for idx, s_name in enumerate(scorer_cw_dict):
            cw_df = _compute_componentwise_scores(scorer_cw_dict[s_name], y_truth, y_pred_single, columns)
            _add_vintage_traces(
                fig,
                cw_df,
                x_col="time",
                y_col="score",
                name=s_name,
                color=colors[idx],
                line_width=line_width,
                line_dash=line_dash,
                base_opacity=line_opacity,
                mode=mode,
                show_markers=show_markers,
                connect_gaps=connect_gaps,
                showlegend=True,
            )

        default_title = title or "Score Over Time"
        default_y_label = y_label or "Score"
    else:
        # Overlay models (single scorer case - original behavior)
        colors = resolve_color_palette(color_palette, n_models)
        first_scorer_cw = next(iter(scorer_cw_dict.values()))

        for idx, (model_name, y_pred_model) in enumerate(y_pred_dict.items()):
            cw_df = _compute_componentwise_scores(first_scorer_cw, y_truth, y_pred_model, columns)
            _add_vintage_traces(
                fig,
                cw_df,
                x_col="time",
                y_col="score",
                name=model_name,
                color=colors[idx],
                line_width=line_width,
                line_dash=line_dash,
                base_opacity=line_opacity,
                mode=mode,
                show_markers=show_markers,
                connect_gaps=connect_gaps,
                showlegend=True,
            )

        first_scorer = next(iter(scorer_dict.values()))
        scorer_name = first_scorer.__class__.__name__
        default_title = title or f"{scorer_name} Over Time"
        default_y_label = y_label or scorer_name

    fig = apply_default_layout(
        fig,
        title=default_title,
        x_label=x_label or "Time",
        y_label=default_y_label,
        width=width,
        height=height,
    )
    fig.update_layout(showlegend=show_legend)

    return fig

Tutorials

The following example notebooks use this component:

  • Conformal Prediction Intervals


    Build distribution-free prediction intervals with SplitConformalForecaster using calibration holdouts and configurable conformity scoring functions.

    View · Open in marimo

  • How to Combine Forecasters with VotingPointForecaster


    Build point ensembles with VotingPointForecaster using mean, weighted, and median aggregation strategies.

    View · Open in marimo

  • How to Evaluate Interval Forecasts


    Evaluate prediction intervals with EmpiricalCoverage, IntervalScore, MeanIntervalWidth, PinballLoss, and CalibrationError across coverage levels.

    View · Open in marimo

  • How to Forecast Class Probabilities


    Use ClassProbaReductionForecaster to produce calibrated probability forecasts and evaluate them with Brier score, log loss, and accuracy.

    View · Open in marimo

  • How to Forecast Panel Data with ColumnForecaster


    Apply a shared forecasting model across multiple series in a panel dataset using ColumnForecaster with the __ column separator convention.

    View · Open in marimo

  • How to Forecast with CatBoost


    Plug CatBoostRegressor into PointReductionForecaster as a drop-in sklearn estimator, compare gradient-boosted versus Ridge linear baseline, and demonstrate the direct reduction strategy with tree-based models.

    View · Open in marimo

See all 16 examples in the gallery