5 citations · 27 across the 16 of their papers we have counts for
16 papers
Conformal invariance of random currents: a stability result
Hong-Bin Chen, Jiaming Xia
We show the convergence of the single sourceless critical random current to a limit identifiable with the nested CLE(3). Our approach is based on viewing the random current as a pe…
Self-overlap correction simplifies the Parisi formula for vector spins
Hong-Bin Chen
We propose a simpler approach to identifying the limit of free energy in a vector spin glass model by adding a self-overlap correction to the Hamiltonian. This avoids constraining…
A PDE perspective on the Aizenman-Sims-Starr scheme
Hong-Bin Chen
The limit free energy of an enriched mixed -spin spin glass model has been identified with the solution of a Hamilton-Jacobi equation. In this note, we remark that the Aizenman-…
Hamilton-Jacobi equations with monotone nonlinearities on convex cones
Hong-Bin Chen, Jiaming Xia
We study the Cauchy problem of a Hamilton-Jacobi equation with the spatial variable in a closed convex cone. A monotonicity assumption on the nonlinearity allows us to prescribe no…
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…
Hamilton-Jacobi equations from mean-field spin glasses
Hong-Bin Chen, Jiaming Xia
We give a meaning to the Hamilton--Jacobi equation arising from mean-field spin glass models in the viscosity sense, and establish the corresponding well-posedness. Originally defi…
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…
Statistical inference of finite-rank tensors
Hong-Bin Chen, Jean-Christophe Mourrat, Jiaming Xia
We consider a general statistical inference model of finite-rank tensor products. For any interaction structure and any order of tensor products, we identify the limit free energy…
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…
Dynamic polymers: invariant measures and ordering by noise
Yuri Bakhtin, Hong-Bin Chen
We develop a dynamical approach to infinite volume directed polymer measures in random environments. We define polymer dynamics in 1+1 dimension as a stochastic gradient flow on po…
Fenchel-Moreau identities on convex cones
Hong-Bin Chen, Jiaming Xia
A pointed convex cone naturally induces a partial order, and further a notion of nondecreasingness for functions. We consider extended real-valued functions defined on the cone. Mo…
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…
Atypical exit events near a repelling equilibrium
Yuri Bakhtin, Hong-Bin Chen
We consider exit problems for small white noise perturbations of a dynamical system generated by a vector field, and a domain containing a critical point with all positive eigenval…
Long exit times near a repelling equilibrium
Yuri Bakhtin, Hong-Bin Chen
For a smooth vector field in a neighborhood of a critical point with all positive eigenvalues of the linearization, we consider the associated dynamics perturbed by white noise. Us…