4 papers
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…
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…
Robust Non-negative Proximal Gradient Algorithm for Inverse Problems
Hanzhang Wang, Zonglin Liu, Jingyi Xu +3
Proximal gradient algorithms (PGA), while foundational for inverse problems like image reconstruction, often yield unstable convergence and suboptimal solutions by violating the cr…
Estimating the Number of Components in Finite Mixture Models via Variational Approximation
Chenyang Wang, Yun Yang
This work introduces a new method for selecting the number of components in finite mixture models (FMMs) using variational Bayes, inspired by the large-sample properties of the Evi…