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DTSTART:20200308T070000
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DTSTART;TZID=America/New_York:20201210T124500
DTEND;TZID=America/New_York:20201210T131500
DTSTAMP:20210613T162750
CREATED:20201201T145619Z
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UID:18511-1607604300-1607606100@math.sciences.ncsu.edu
SUMMARY:Yuan Gao\, Duke University\, From rare events to almost sure events: optimal controlled random walk on point clouds
DESCRIPTION:We focus on analysis and data-driven algorithms for rare events such as essential conformational transitions in biochemical reactions which are modeled by Langevin dynamics on manifolds. We first reinterpret the observed transition paths from the stochastic optimal control viewpoint\, which realizes the transitions almost surely. Then based on collected high dimensional point clouds and nonlinear dimension reduction\, we construct an approximated Voronoi tessellation for the reduced manifold and design an upwind scheme for the associated Fokker-Planck equation. The scheme automatically incorporates the manifold structure and enjoys lots of fine properties such as stability and convergence. An optimal controlled random walk on point clouds is then constructed\, which enables efficient Monte Carlo simulation for conformational transitions. \nhttps://ncsu.zoom.us/j/93870711811?pwd=Q0RBbG42MTdQVk1GSjBnK1NmVGNiQT09
URL:https://math.sciences.ncsu.edu/event/yuan-gao-duke-university-from-rare-events-to-almost-sure-events-optimal-controlled-random-walk-on-point-clouds/
LOCATION:Zoom
CATEGORIES:Special Seminar
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