Module boosting_regression 

Component-wise gradient boosting and Bayesian regression for functional responses.

Implements REG-06: FDboost-style penalized functional base-learner boosting, GAMLSS distributional boosting, conjugate Gibbs Bayesian FOSR, and stability selection.

Methods

• [boost_fosr] — Component-wise boosted function-on-scalar regression (REG-06-01)
• [boost_fofr] — Component-wise boosted function-on-function regression (REG-06-02)
• gamlss_fosr — GAMLSS distributional boosting: location + scale (REG-06-03)
• bayesian_fosr — Bayesian FOSR via conjugate Gibbs sampler (REG-06-04)
• stability_selection — FDboost-style stability selection (REG-06-05)

References

Hothorn et al. (2010). Model-Based Boosting. Journal of Statistical Software. Hofner et al. (2016). gamboostLSS. Journal of Statistical Software, 74(1). Jiang et al. (2025). arXiv:2505.05633 (Bayesian FoSR). Meinshausen & Bühlmann (2010). Stability Selection. JRSS-B, 72(4).

Divergences from R baselines (FDboost 1.1-4, refund, stabs) documented per function.

Re-exports

pub use self::bayesian::bayesian_fosr;

pub use self::boost_fofr::boost_fofr;

pub use self::boost_fosr::boost_fosr;

pub use self::gamlss::gamlss_fosr;

pub use self::stability::stability_selection;

Modules

bayesian

Bayesian function-on-scalar regression via conjugate Gibbs sampler (REG-06-04).

boost_fofr

Component-wise gradient boosting for function-on-function regression (REG-06-02).

boost_fosr

Component-wise gradient boosting for function-on-scalar regression (REG-06-01).

gamlss

GAMLSS-style distributional functional regression — location + scale (REG-06-03).

stability

FDboost-style stability selection over boosting base-learners (REG-06-05).

Structs

BayesianConfig

Configuration for the Bayesian FOSR Gibbs sampler (REG-06-04).

BayesianFosrResult

Result of Bayesian function-on-scalar regression via conjugate Gibbs (REG-06-04).

BoostFofrResult

Result of component-wise boosted function-on-function regression (REG-06-02).

BoostFosrResult

Result of component-wise boosted function-on-scalar regression (REG-06-01).

BoostingConfig

Configuration for component-wise gradient boosting (FOSR, FoFR, GAMLSS, stability).

GamlssResult

Result of GAMLSS-style distributional functional regression (REG-06-03).

StabilityConfig

Configuration for FDboost-style stability selection (REG-06-05).

StabilityResult

Result of FDboost-style stability selection (REG-06-05).