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, …
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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 … 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 … citizens credit card bank online
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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: Reception at The Club hotel(on-campus) Talks will be held in Bren Hall room 1414. Breakfast is 8 - 9am at CarrilloDining Commons. 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 ... WebChen, Liu, Vigoda: Optimal mixing of Glauber dynamics Gheissari, Sinclair: Low-temperature Ising dynamics with random initialization • Mean-field systems and nonlinear SDE Hammersley/Siska/Szpruch: McKean-Vlasov SDEs under … dickey tees with pocket for men