Mehta Research Group


Mean-field games

We have developed a methodological framework, rooted in dynamical systems theory and game theory, that relates the emergent collective dynamic behavior of the population to the underlying interaction/control mechanisms -- in particular those resulting from competitive interactions amongst individuals.


Feedback particle filter

We have developed a novel class of algorithms for nonlinear estimation, called feedback particle filter. As with our work on mean-field games, the goal is to design (control) emergent dynamic behavior, now for the purposes of Bayesian inference. This work has a significant potential to impact a wide-range of applications in engineering and biology.