Minimax Additive Regression under Unknown Dependent Designs
Matching minimax bounds for additive regression with unknown, dependent covariates, identifying when marginal-density estimation changes the optimal rate.
Research
Publications
Statistical learning theory, nonparametric interaction models and functional decompositions for interpretable machine learning.
You can also find my work on Google Scholar ↗.
2026
Generalized Functional ANOVA: A Complete Theoretical Framework
An explicit, distribution-adapted basis for generalized functional ANOVA with dependent continuous inputs.
Exact Functional ANOVA Decomposition for Categorical Inputs Models
A closed-form functional ANOVA for categorical models, including dependent features and non-rectangular supports.
2025
Fourier Analysis on the Boolean Hypercube via Hoeffding Functional Decomposition
Extending Fourier analysis beyond the uniform Boolean hypercube to account for arbitrary input distributions.