UTRC CDS Lecture: Prashant Mehta, "Coupled Oscillators for Estimation and Control"
Friday, May 1, 2015
1146 A V Williams
301 405 6576
United Technologies Research Center
Invited Lectures on Control and Dynamical Systems
Coupled Oscillators for Estimation and Control
Dept. of Mechanical Science & Engineering
Coordinated Science Laboratory
University of Illinois at Urbana-Champaign
Mehta will talk about a new formulation of nonlinear filter that is based on concepts from optimal transportation theory. He will introduce the feedback particle filter and show how it admits an innovations error-based feedback control structure. The control is chosen so that the posterior distribution of any particle matches the posterior distribution of the true state given the observations.
Applying these results to neuroscience, I will address the question of implementing Bayes rule at the level of neurophysiologically plausible spiking elements, my qualified approach to the problem being based on a coupled oscillator feedback particle filter model. A single oscillator is a simplified model of a single spiking neuron, and the coupled oscillator model solves an inference problem. The methodology will be illustrated with the aid of an interactive activity recognition demo.
Prashant Mehta is an Associate Professor in the Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign. He received his Ph.D. in Applied Mathematics from Cornell University in 2004. Prior to joining Illinois, he was a Research Engineer at the United Technologies Research Center (UTRC). His research interests are at the intersection of dynamical systems and control theory, including nonlinear filtering, mean-field games, model reduction, and nonlinear control.
He has received several awards including an Outstanding Achievement Award for his research contributions at UTRC, several Best Paper awards with his students at Illinois, and numerous teaching and advising honors at Illinois.