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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Seminar on Control Theory and Nonlinear Filtering Non-Gaussian Bayesian Filtering
Non-Gaussian Bayesian Filtering
Organizer
Shing Toung Yau
Speaker
Zeju Sun
Time
Thursday, October 20, 2022 8:00 PM - 8:30 PM
Venue
Online
Abstract
In this talk, I will introduce a method of parametrizing the state process of a filtering problem by power moments. The parameters of the proposed parametrization can be determined by a convex optimization scheme with moments constraints, to which the solution is proved to exist and be unique. I will also discuss the necessary and sufficient condition for all the power moments of the density estimate to exist and be finite, as well as the error upper bounds of the density estimate. The contents of this talk are based on the paper entitled Non-Gaussian Bayesian Filtering by Density Parametrization Using Power Moments, arXiv:2207.08519.
Beijing Institute of Mathematical Sciences and Applications
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