Optimal mixing chen liu vigoda
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 … 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 …
Optimal mixing chen liu vigoda
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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 … 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.
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 … 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]
Web2 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 … WebNov 4, 2024 · Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion Zongchen Chen, Kuikui Liu, Eric Vigoda We prove an optimal …
WebOn Mixing of Markov Chains: Coupling, Spectral Independence, and Entropy Factorization Antonio Blanca (Pennsylvania State University); Pietro Caputo (University of Roma Tre); …
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 … siblings sassing the dragon princeWebProve 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 ... the perfect race castWebOptimal 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. siblings sassing she-raWebJun 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 ... siblings rights to inheritancesiblings rivalry bookWeb- Principal Investigator - Associate Professor email: [email protected] Phone: 312-413-7672 Fax: 312-996-0808 Office: Engineering Innovation Building 254 University of Illinois … the perfect radar gmodWebNew 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. the perfect race torrent