Optimal mixing chen liu vigoda
WebNov 4, 2024 · We prove an optimal $ (= log=) mixing time of the Glauber dynamics for the Ising models with edge activity V ∈ ( Δ−2 Δ , Δ Δ−2 ) . This mixing time bound holds even if the maximum degree Δ is unbounded. ... Zongchen Chen, Kuikui Liu, Eric Vigoda; Mathematics. 2024 IEEE 61st Annual Symposium on Foundations of Computer Science … WebNov 4, 2024 · Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion Zongchen Chen, Kuikui Liu, Eric Vigoda We prove an optimal …
Optimal mixing chen liu vigoda
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WebEmail: [email protected]. Research supported in part by NSF grant CCF-2007022. 1 Introduction A fundamental problem in a variety of settings, such as the study of spin systems in statistical ... Spectral independence yields optimal mixing time bounds for the Glauber dynamics (which updates a randomly chosen vertex in each step) [CLV21], and … WebOptimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion. Z Chen, K Liu, E Vigoda. The 53rd Annual ACM SIGACT Symposium on Theory of …
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. WebOptimal mixing of down-up walk Thuy Duong “June” Vuong UChicago seminar Joint work with Nima Anari, Vishesh Jain, Frederic Koehler, Huy T. Pham. Sampling from a distribution ≥0 ... •Block Glauber dynamics [Chen-Liu-Vigoda—STOC’21] •Field dynamics (to sample from hardcore models)
WebZongchen Chen, Kuikui Liu, and Eric Vigoda. Optimal Mixing of the Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion. STOC, 2024. Invited to SICOMP … WebProve optimalmixing results up to the computational phase transition threshold poly-timealgorithmexists ... Canweprovethefast(optimal)mixingforalldegrees? Work MixingTime Technique Anari,Liu,OveisGharan,2024 ... Chen,Liu,Vigoda,2024 ...
WebNew tools for optimal mixing of Markov chains: Spectral independence and entropy decay Monday, August 8 - Friday, August 12, 2024. Program Sunday evening(August 7): 5:30pm: …
WebKuikui Liu: Spectral independence and optimal mixing: Lecture video and Lecture notes Heng Guo: Tutte polynomial: Lecture video Zongchen Chen: Correlation decay, zero … grand ravines lodge ottawa countyWebMar 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 … chinesen thailandWebOn Mixing of Markov Chains: Coupling, Spectral Independence, and Entropy Factorization Antonio Blanca (Pennsylvania State University); Pietro Caputo (University of Roma Tre); … grand ravine park ottawa countyWeb2 days ago · This solution requires 10,000 t/y of PET-free plastic waste, and sends 10,000 t/y of low-grade plastic waste to the landfill. A total of 100,000 t/y of the plastic waste from … chinese novel the water marginWebto a mixing time of the form O V O(1/δ) . In the case of q-spin systems on graphs G = (V,E) of maximum degree at most ∆ and for which the marginals of the Gibbs distribution are lower bounded by b > 0 (even under conditioning on an arbitrary proper subset of the spins), a remarkable recent paper of Chen, Liu, and Vigoda [CLV20a] chinese nuclear arsenal sizeWebOptimal mixing for two-state anti-ferromagnetic spin systems. Xiaoyu Chen (Nanjing University), Weiming Feng (University of Edinburgh), Yitong Yin (Nanjing University), … chinese nuclear attack submarineWebOPTIMAL 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, … chinese nuclear bomb test