Module explain 

Explainability toolkit for FPC-based scalar-on-function models.

• functional_pdp / functional_pdp_logistic — PDP/ICE
• beta_decomposition / beta_decomposition_logistic — per-FPC β(t) decomposition
• significant_regions / significant_regions_from_se — CI-based significant intervals
• fpc_permutation_importance / fpc_permutation_importance_logistic — permutation importance
• influence_diagnostics — Cook’s distance and leverage
• friedman_h_statistic / friedman_h_statistic_logistic — FPC interaction detection
• pointwise_importance / pointwise_importance_logistic — pointwise variable importance
• fpc_vif / fpc_vif_logistic — variance inflation factors
• fpc_shap_values / fpc_shap_values_logistic — SHAP values
• dfbetas_dffits — DFBETAS and DFFITS influence diagnostics
• prediction_intervals — prediction intervals for new observations
• fpc_ale / fpc_ale_logistic — accumulated local effects
• loo_cv_press — LOO-CV / PRESS diagnostics
• sobol_indices / sobol_indices_logistic — Sobol sensitivity indices
• calibration_diagnostics — calibration diagnostics (logistic)
• functional_saliency / functional_saliency_logistic — functional saliency maps
• domain_selection / domain_selection_logistic — domain/interval importance
• conditional_permutation_importance / conditional_permutation_importance_logistic
• counterfactual_regression / counterfactual_logistic — counterfactual explanations
• prototype_criticism — MMD-based prototype/criticism selection
• lime_explanation / lime_explanation_logistic — LIME local surrogates
• expected_calibration_error — ECE, MCE, ACE calibration metrics
• conformal_prediction_residuals — split-conformal prediction intervals
• regression_depth / regression_depth_logistic — depth-based regression diagnostics
• explanation_stability / explanation_stability_logistic — bootstrap stability analysis
• anchor_explanation / anchor_explanation_logistic — beam-search anchor rules

Structs

AleResult

Result of Accumulated Local Effects analysis.

AnchorCondition

A single condition in an anchor rule.

AnchorResult

Result of anchor explanation for one observation.

AnchorRule

An anchor rule consisting of FPC score conditions.

BetaDecomposition

Per-FPC decomposition of the functional coefficient β(t).

CalibrationDiagnosticsResult

Calibration diagnostics for a functional logistic regression model.

ConditionalPermutationImportanceResult

Result of conditional permutation importance.

ConformalPredictionResult

Result of split-conformal prediction.

CounterfactualResult

Result of a counterfactual explanation.

DfbetasDffitsResult

Result of DFBETAS/DFFITS influence diagnostics.

DomainSelectionResult

Result of domain selection analysis.

EceResult

Result of expected calibration error analysis.

FpcPermutationImportance

Result of FPC permutation importance.

FpcShapValues

FPC-level SHAP values for model interpretability.

FriedmanHResult

Result of the Friedman H-statistic for interaction between two FPC components.

FunctionalPdpResult

Result of a functional partial dependence plot.

FunctionalSaliencyResult

Functional saliency map result.

ImportantInterval

An important interval in the function domain.

InfluenceDiagnostics

Cook’s distance and leverage diagnostics for the FPC regression.

LimeResult

Result of a LIME local surrogate explanation.

LooCvResult

Result of leave-one-out cross-validation diagnostics.

PointwiseImportanceResult

Result of pointwise variable importance analysis.

PredictionIntervalResult

Result of prediction interval computation.

PrototypeCriticismResult

Result of prototype/criticism selection.

RegressionDepthResult

Result of regression depth analysis.

SignificantRegion

A contiguous interval where the confidence band excludes zero.

SobolIndicesResult

Sobol first-order and total-order sensitivity indices.

StabilityAnalysisResult

Result of bootstrap stability analysis.

VifResult

Result of VIF analysis for FPC-based regression.

Enums

DepthType

Type of functional depth measure for regression diagnostics.

SignificanceDirection

Direction of a significant region.

Functions

anchor_explanation

Anchor explanation for a linear functional regression.

anchor_explanation_logistic

Anchor explanation for a functional logistic regression.

beta_decomposition

Decompose β(t) = Σ_k coef_k × φ_k(t) for a linear functional regression.

beta_decomposition_logistic

Decompose β(t) for a functional logistic regression.

calibration_diagnostics

Calibration diagnostics for a functional logistic regression model.

conditional_permutation_importance

Conditional permutation importance for a linear functional regression model.

conditional_permutation_importance_logistic

Conditional permutation importance for a functional logistic regression model.

conformal_prediction_residuals

Split-conformal prediction intervals for a linear functional regression.

counterfactual_logistic

Counterfactual explanation for a functional logistic regression model (gradient descent).

counterfactual_regression

Counterfactual explanation for a linear functional regression model (analytical).

dfbetas_dffits

DFBETAS and DFFITS for a linear functional regression model.

domain_selection

Domain selection for a linear functional regression model.

domain_selection_logistic

Domain selection for a functional logistic regression model.

expected_calibration_error

Compute expected, maximum, and adaptive calibration errors for a logistic model.

explanation_stability

Bootstrap stability analysis of a linear functional regression.

explanation_stability_logistic

Bootstrap stability analysis of a functional logistic regression.

fpc_ale

ALE plot for an FPC component in a linear functional regression model.

fpc_ale_logistic

ALE plot for an FPC component in a functional logistic regression model.

fpc_permutation_importance

Permutation importance for a linear functional regression (metric = R²).

fpc_permutation_importance_logistic

Permutation importance for functional logistic regression (metric = accuracy).

fpc_shap_values

Exact SHAP values for a linear functional regression model.

fpc_shap_values_logistic

Kernel SHAP values for a functional logistic regression model.

fpc_vif

Variance inflation factors for FPC scores (and optional scalar covariates).

fpc_vif_logistic

VIF for a functional logistic regression model.

friedman_h_statistic

Friedman H-statistic for interaction between two FPC components (linear model).

friedman_h_statistic_logistic

Friedman H-statistic for interaction between two FPC components (logistic model).

functional_pdp

Functional PDP/ICE for a linear functional regression model.

functional_pdp_logistic

Functional PDP/ICE for a functional logistic regression model.

functional_saliency

Functional saliency maps for a linear functional regression model.

functional_saliency_logistic

Functional saliency maps for a functional logistic regression model (gradient-based).

influence_diagnostics

Compute leverage and Cook’s distance for a linear functional regression.

lime_explanation

LIME explanation for a linear functional regression model.

lime_explanation_logistic

LIME explanation for a functional logistic regression model.

loo_cv_press

LOO-CV / PRESS diagnostics for a linear functional regression model.

pointwise_importance

Pointwise variable importance for a linear functional regression model.

pointwise_importance_logistic

Pointwise variable importance for a functional logistic regression model.

prediction_intervals

Prediction intervals for new observations from a linear functional regression model.

prototype_criticism

Select prototypes and criticisms from FPCA scores using MMD-based greedy selection.

regression_depth

Regression depth diagnostics for a linear functional regression.

regression_depth_logistic

Regression depth diagnostics for a functional logistic regression.

significant_regions

Identify contiguous regions where the CI [lower, upper] excludes zero.

significant_regions_from_se

Build CI from β(t) ± z × SE, then find significant regions.

sobol_indices

Exact Sobol sensitivity indices for a linear functional regression model.

sobol_indices_logistic

Sobol sensitivity indices for a functional logistic regression model (Saltelli MC).