33 citations · 36 across the 4 of their papers we have counts for
4 papers
Residual Networks as Nonlinear Systems: Stability Analysis using Linearization
Kai Rothauge, Zhewei Yao, Zixi Hu +1
We regard pre-trained residual networks (ResNets) as nonlinear systems and use linearization, a common method used in the qualitative analysis of nonlinear systems, to understand t…
A hybrid adaptive MCMC algorithm in function spaces
Qingping Zhou, Zixi Hu, Zhewei Yao +1
The preconditioned Crank-Nicolson (pCN) method is a Markov Chain Monte Carlo (MCMC) scheme, specifically designed to perform Bayesian inferences in function spaces. Unlike many sta…
On an adaptive preconditioned Crank-Nicolson MCMC algorithm for infinite dimensional Bayesian inferences
Zixi Hu, Zhewei Yao, Jinglai Li
Many scientific and engineering problems require to perform Bayesian inferences for unknowns of infinite dimension. In such problems, many standard Markov Chain Monte Carlo (MCMC)…
A TV-Gaussian prior for infinite-dimensional Bayesian inverse problems and its numerical implementations
Zhewei Yao, Zixi Hu, Jinglai Li
Many scientific and engineering problems require to perform Bayesian inferences in function spaces, in which the unknowns are of infinite dimension. In such problems, choosing an a…