5 papers
Rapid mixing in positively weighted restricted Boltzmann machines
Weiming Feng, Heng Guo, Minji Yang
We show polylogarithmic mixing time bounds for the alternating-scan sampler for positively weighted restricted Boltzmann machines. This is done via analysing the same chain and the…
Rapid Mixing of Glauber Dynamics for Monotone Systems via Entropic Independence
Weiming Feng, Minji Yang
We study the mixing time of Glauber dynamics on monotone systems. For monotone systems satisfying the entropic independence condition, we prove a new mixing time comparison result…
Approximating the total variation distance between spin systems
Weiming Feng, Hongyang Liu, Minji Yang
Spin systems form an important class of undirected graphical models. For two Gibbs distributions and induced by two spin systems on the same graph , we study…
Deterministic counting from coupling independence
Xiaoyu Chen, Weiming Feng, Heng Guo +2
We show that spin systems with bounded degrees and coupling independence admit fully polynomial time approximation schemes (FPTAS). We design a new recursive deterministic counting…
Faster Mixing of the Jerrum-Sinclair Chain
Xiaoyu Chen, Weiming Feng, Zhe Ju +3
We show that the Jerrum-Sinclair Markov chain on matchings mixes in time on any graph with vertices, edges, and maximum degree , for any constan…