WebA time and space optimal stable population protocol solving exact majority ( Full version) Lijie Chen and Roei Tell. Hardness vs Randomness, Revised: Uniform, Non-Black-Box, and Instance-Wise ( Full version) Zongchen Chen, Kuikui Liu and Eric Vigoda. Spectral Independence via Stability and Applications to Holant-Type Problems ( Full version) WebKuikui Liu: Spectral independence and optimal mixing: Lecture video and Lecture notes Heng Guo: Tutte polynomial: Lecture video Zongchen Chen: Correlation decay, zero …
Optimal mixing of Glauber dynamics: Entropy factorization via …
WebAug 1, 2024 · Then, a second-order cone programming optimization approach is applied to find the optimal mixing proportioning strategy, with which the productivity of qualified raw … WebOPTIMAL MIXING OF MARKOV CHAINS FOR SPIN SYSTEMS VIA SPECTRAL INDEPENDENCE A Dissertation Presented to The Academic Faculty By Zongchen Chen In Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Algorithms, Combinatorics, and Optimization (ACO) Program ... Leslie Ann Goldberg, … campground gulf shores alabama
Rapid Mixing from Spectral Independence beyond the Boolean …
WebMar 8, 2024 · Two recent and seemingly-unrelated techniques for proving mixing bounds for Markov chains are: (i) the framework of Spectral Independence, introduced by Anari, Liu and Oveis Gharan, and its numerous extensions, which have given rise to several breakthroughs in the analysis of mixing times of discrete Markov chains and (ii) the Stochastic … WebFeb 1, 2024 · We consider the Glauber dynamics (also called Gibbs sampling) for sampling from a discrete high-dimensional space, where in each step one variable is chosen uniformly at random and gets updated conditional on all other variables. We show an optimal mixing time bound for the Glauber dynamics in a variety of settings. WebOptimal mixing of Glauber dynamics: Entropy factorization via high-dimensional expansion. In STOC. ACM, 1537–1550. [15] Chen Zongchen, Liu Kuikui, and Vigoda Eric. 2024. Spectral independence via stability and applications to Holant-type problems. In FOCS. IEEE, 149–160. [16] Cryan Mary, Guo Heng, and Mousa Giorgos. 2024. campground harkers island nc