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Generalized Functional ANOVA: A Complete Theoretical Framework
Baptiste Ferrere, Nicolas Bousquet, Fabrice Gamboa +1
The functional ANOVA provides a fundamental representation of square-integrable multivariate functions into main effects and higher-order interactions. For independent inputs, the…
Exact Functional ANOVA Decomposition for Categorical Inputs Models
Baptiste Ferrere, Nicolas Bousquet, Fabrice Gamboa +2
Functional ANOVA offers a principled framework for interpretability by decomposing a model's prediction into main effects and higher-order interactions. For independent features, t…
Conformal inference for regression on Riemannian Manifolds
Alejandro Cholaquidis, Fabrice Gamboa, Leonardo Moreno
Regression on manifolds, and, more broadly, statistics on manifolds, has garnered significant importance in recent years due to the vast number of applications for non Euclidean da…