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math.PR2021★ 4 cited
Optimal Mixing Time for the Ising Model in the Uniqueness Regime
Xiaoyu Chen, Weiming Feng, Yitong Yin +1
We prove an optimal mixing time of the Glauber dynamics for the Ising models with edge activity . This mixing time bound h…
cs.DS2021
Parallelize Single-Site Dynamics up to Dobrushin Criterion
Hongyang Liu, Yitong Yin
Single-site dynamics are canonical Markov chain based algorithms for sampling from high-dimensional distributions, such as the Gibbs distributions of graphical models. We introduce…
cs.DS2021
Rapid mixing of Glauber dynamics via spectral independence for all degrees
Xiaoyu Chen, Weiming Feng, Yitong Yin +1
We prove an optimal lower bound on the spectral gap of Glauber dynamics for anti-ferromagnetic two-spin systems with vertices in the tree uniqueness regime. This sp…