3 papers
math.ST2025
Spectral Equivariance and Geometric Transport in Reproducing Kernel Hilbert Spaces: A Unified Framework for Orthogonal Polynomial and Kernel Estimation
Jocelyn Nembé
We develop a unified geometric framework for nonparametric estimation based on the notion of Twin Kernel Spaces, defined as orbits of a reproducing kernel under a group action. Thi…
math.ST2025
Concentration of Measure under Diffeomorphism Groups: A Universal Framework with Optimal Coordinate Selection
Jocelyn Nembé
We establish a universal framework for concentration inequalities based on invariance under diffeomorphism groups. Given a probability measure on a space and a diffeomorph…
math.ST2025
TwinKernel Estimation for Point Process Intensity Functions: Adaptive Nonparametric Methods via Orbital Regularity
Jocelyn Nembé
We develop TwinKernel methods for nonparametric estimation of intensity functions of point processes. Building on the general TwinKernel framework and combining it with martingale…