2 citations · 5 across the 4 of their papers we have counts for
8 papers · 1 filter
Rare transitions in noisy heteroclinic networks
Yuri Bakhtin, Hong-Bin Chen, Zsolt Pajor-Gyulai
We study small white noise perturbations of planar dynamical systems with heteroclinic networks in the limit of vanishing noise. We show that the probabilities of transitions betwe…
Limiting free energy of multi-layer generalized linear models
Hong-Bin Chen, Jiaming Xia
We compute the high-dimensional limit of the free energy associated with a multi-layer generalized linear model. Under certain technical assumptions, we identify the limit in terms…
Dimension-free log-Sobolev inequalities for mixture distributions
Hong-Bin Chen, Sinho Chewi, Jonathan Niles-Weed
We prove that if is a family of probability measures which satisfy the log-Sobolev inequality and whose pairwise chi-squared divergences are uniformly b…
Hamilton-Jacobi equations for inference of matrix tensor products
Hong-Bin Chen, Jiaming Xia
We study the high-dimensional limit of the free energy associated with the inference problem of finite-rank matrix tensor products. In general, we bound the limit from above by the…
Hamilton-Jacobi equations for nonsymmetric matrix inference
Hong-Bin Chen
We study the high-dimensional limit of the free energy associated with the inference problem of a rank-one nonsymmetric matrix. The matrix is expressed as the outer product of two…
Asymptotics of smoothed Wasserstein distances
Hong-Bin Chen, Jonathan Niles-Weed
We investigate contraction of the Wasserstein distances on under Gaussian smoothing. It is well known that the heat semigroup is exponentially contractive with respe…