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Paper · arXiv

ParamBoost: Gradient Boosted Piecewise Cubic Polynomials

Generalized Additive Models (GAMs) can be used to create non-linear glass-box (i.e. explicitly interpretable) models, where the predictive function is fully observable over the complete input space. However, glass-box interpretability itself does not allow for the incorporation of expert knowledge from the modeller. In this paper, we present ParamBoost, a novel GAM whose shape functions (i.e. mappings from individual input features to the output) are learnt using a Gradient Boosting algorithm that fits cubic polynomial functions at leaf nodes. ParamBoost incorporates several constraints commonly used in parametric analysis to ensure well-refined shape functions. These constraints include:...

AuthorsNicolas Salvadé, Tim Hillel
Primary categorycs.LG
Published20 April 2026
Last updated at source20 April 2026
cs.LGstat.ML
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