Optimal mixing chen liu vigoda
WebJun 15, 2024 · Chen, Liu, and Vigoda [CLV21] raised the challenge of proving even a weaker bound with near-linear dependence on n and polynomial dependence on ∆, i.e., O(n · poly(∆)), on the mixing time of ... 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.
Optimal mixing chen liu vigoda
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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, … 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 …
WebDec 20, 2024 · A 25-run D-optimal mixture design with multiple constraints on the component proportions was designed based on a five-component system: PIB (X 1), PVA … 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 … 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 ...
WebDec 9, 2016 · The mixing rate (R ϕ ) is the temporal rate of increase in the solvent strength in gradient LC. The optimal R ϕ (R ϕ ,Opt ) is the one at which a required peak capacity of …
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) simplex century projectorWebOptimal mixing for two-state anti-ferromagnetic spin systems. Xiaoyu Chen (Nanjing University), Weiming Feng (University of Edinburgh), Yitong Yin (Nanjing University), … simplex ceiling mount speaker strobesWebZongchen Chen, Kuikui Liu, and Eric Vigoda. Optimal Mixing of the Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion. STOC, 2024. Invited to SICOMP … simplex chemopack pvt. ltdWebMay 2, 2024 · Therefore, the optimal mixing ratio of steel fibers is also significantly related to the type of concrete. 3.4. Splitting Strength ... Chen L, Guo N, Liu G, Guo X, Zhao J, Liu Z. Examination of Mixing Proportion in Self-Compacting Gangue-Based Pavement Concrete. Buildings. 2024; 12(5) ... simplex chemopack private limitedWebXiaoyu Chen, Weiming Feng, Yitong Yin, and Xinyuan Zhang. 2024. Rapid mixing of Glauber dynamics via spectral independence for all degrees. arxiv:2105.15005. Google Scholar. … simplex chemopackWebOptimal 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) simplex chain catalogueWebto 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] simplex bookcase