30 citations · 61 across the 30 of their papers we have counts for
Showing 2017Show all
3 papers · 1 filter
math.OC2017
Gradient Flows in Filtering and Fisher-Rao Geometry
Abhishek Halder, Tryphon T. Georgiou
Uncertainty propagation and filtering can be interpreted as gradient flows with respect to suitable metrics in the infinite dimensional manifold of probability density functions. S…
eess.SY2017
Stability Theory of Stochastic Models in Opinion Dynamics
Zahra Askarzadeh, Rui Fu, Abhishek Halder +2
We consider a certain class of nonlinear maps that preserve the probability simplex, i.e., stochastic maps, that are inspired by the DeGroot-Friedkin model of belief/opinion propag…
math.OC2017★ 2 cited
Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems
Abhishek Halder, Tryphon T. Georgiou
The purpose of this work is mostly expository and aims to elucidate the Jordan-Kinderlehrer-Otto (JKO) scheme for uncertainty propagation, and a variant, the Laugesen-Mehta-Meyn-Ra…