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Optimal mixing chen liu vigoda

WebZongchen Chen, Kuikui Liu, and Eric Vigoda. Optimal Mixing of the Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion. STOC, 2024. Invited to SICOMP …

[2011.02075v1] Optimal Mixing of Glauber Dynamics: Entropy ...

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 … 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. inc clinic theresiastraat https://mjmcommunications.ca

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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 … 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 ... WebKuikui Liu: Spectral independence and optimal mixing: Lecture video and Lecture notes Heng Guo: Tutte polynomial: Lecture video Zongchen Chen: Correlation decay, zero … in between the marching band song

New tools for optimal mixing of Markov chains: entropy decay and ...

Category:Optimal Mixing of Glauber Dynamics: Entropy ... - ResearchGate

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Optimal mixing chen liu vigoda

[2011.02075v2] Optimal Mixing of Glauber Dynamics: …

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 … WebNov 3, 2024 · Eric Vigoda Abstract We prove an optimal mixing time bound on the single-site update Markov chain known as the Glauber dynamics or Gibbs sampling in a variety of settings.

Optimal mixing chen liu vigoda

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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 … Web- Principal Investigator - Associate Professor email: [email protected] Phone: 312-413-7672 Fax: 312-996-0808 Office: Engineering Innovation Building 254 University of Illinois …

WebOptimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion. with Zongchen Chen, Eric Vigoda. (STOC 2024 Invited to SICOMP Special Issue) Log-Concave Polynomials IV: … 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 ...

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) 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, …

WebXiaoyu 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. …

Webto 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] inc cleverbridge.comWebOptimal 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 … inc clearanceWebEmail: [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 … in between the hedges hotelWebNov 4, 2024 · Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion Zongchen Chen, Kuikui Liu, Eric Vigoda We prove an optimal … in between the scenesWeb2 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 … inc clothes macy\\u0027sWebNew 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: … in between the movieWebDec 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 … inc clock