5 citations · 13 across the 10 of their papers we have counts for
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The phase transition for domination in two interacting urns with power reinforcement
Jiaming Xia
We study two interacting urns with power reinforcement , for . Using Qin's stochastic-approximation theorem as input, we reduce the phase transition problem for domi…
Multi-point functions of a full-plane two-state fuzzy -Potts model
Hong-Bin Chen, Jiaming Xia
We study the full-plane two-state fuzzy -Potts model, obtained by assigning independent balanced spins to the open clusters of a critical random-cluster configu…
Critical exponents for planar random-cluster model with cluster-weight
Hong-Bin Chen, Hugo Duminil-Copin, Tiancheng He +4
Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar cri…
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…
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…
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…