KEK 素粒子原子核研究所・理論セミナー(松本信行氏)

カテゴリ理論セミナー
開始2018/06/19(火)11:00
終了2018/06/19(火)12:00
会場研究本館3階 セミナールーム322
講演タイトルDistance between configurations in MCMC simulations and AdS geometry in the simulated tempering algorithm
講演者松本信行氏(京都大学)
言語英語/English
連絡先木村裕介/kimurayu-AT-post.kek.jp
ウェブサイト
食堂・売店利用予定なし/0

概要

ABSTRACT

For a given Markov chain Monte Carlo (MCMC) algorithm, we define distance between configurations, which quantifies difficulty of transition from one configuration to the other. This distance gives a universal form for a class of MCMC algorithms which generate local moves of configurations. The introduction of distance enables us to investigate a relaxation process in a MCMC simulation from a geometrical point of view. We here consider a system whose equilibrium distribution is highly multimodal with a large number of degenerate classical vacua. We show that, when we implement the simulated tempering method for such a system, the anti-de Sitter (AdS) geometry emerges in the extended configuration space. This talk is based on the work with M. Fukuma and N. Umeda [JHEP12(2017)001, work in preparation].

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