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math.NA2026
Local Legendre Frame Approximation from Equispaced Data
Benxue Gong, Zhenyu Zhao, Chenyang Wang
We propose a local Legendre frame (LLF) method for function approximation from equispaced data on a finite interval. Motivated by the difficulty of stable high-order polynomial app…
stat.ML2026
PAC-Bayes Bounds for Gibbs Posteriors via Singular Learning Theory
Chenyang Wang, Yun Yang
We derive explicit non-asymptotic PAC-Bayes generalization bounds for Gibbs posteriors, that is, data-dependent distributions over model parameters obtained by exponentially tiltin…