Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Home 
 People 
 Current 
 Executive Committee 
 Postdocs 
 Visitors 
 Students 
 Research 
 Publications 
 Conferences 
 Workshops 
 Sponsorship 
 Talks 
 Seminars 
 Postdoc Seminars Archive 
 Quantum Lunch 
 Quantum Lunch Archive 
 P/T Colloquia 
 Archive 
 Ulam Scholar 
 
 Postdoc Nominations 
 Student Requests 
 Student Program 
 Visitor Requests 
 Description 
 Past Visitors 
 Services 
 General 
 
 History of CNLS 
 
 Maps, Directions 
 CNLS Office 
 T-Division 
 LANL 
 
Wednesday, June 07, 2017
10:00 AM - 11:00 AM
CNLS Conference Room (TA-3, Bldg 1690)

Seminar

Hamiltonian Monte Carlo Approach to Nonlinear Filtering and Optimal Control

Dr. Richard Linares
University of Minnesota

This presentation investigates the application of Hamiltonian Monte Carlo (HMC) samplers for solving nonlinear filtering problems that arise in many engineering applications. Using the theory of HMC samplers the nonlinear filtering problem for continuous dynamics and discrete measurements is formulated using two stochastic differential equations, one equation for the dynamics of the system and one equation for the measurement update. Furthermore, the filtering problem can be stated as the solution of two versions of the Fokker Planck Kolmogorov Equation (FPKF) one in physical time and one using an auxiliary time variable. The use of stochastic optimal control theory to improve the performance of such a method is discussed. A few simple examples are presented to highlight the application of this theory to practical problems.

Host: Humberto C Godinez