4 papers
Efficient Parallel Ising Samplers via Localization Schemes
Xiaoyu Chen, Hongyang Liu, Yitong Yin +1
We introduce efficient parallel algorithms for sampling from the Gibbs distribution and estimating the partition function of Ising models. These algorithms achieve parallel efficie…
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 constant…
Rapid Mixing on Random Regular Graphs beyond Uniqueness
Xiaoyu Chen, Zejia Chen, Zongchen Chen +2
The hardcore model is a fundamental probabilistic model extensively studied in statistical physics, probability theory, and computer science. For graphs of maximum degree , a we…
Rapid Mixing at the Uniqueness Threshold
Xiaoyu Chen, Zongchen Chen, Yitong Yin +1
Over the past decades, a fascinating computational phase transition has been identified in sampling from Gibbs distributions. Though, the computational complexity at the critical p…