30 citations · 61 across the 30 of their papers we have counts for
8 papers · 2 filters
Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift
Kenneth F. Caluya, Abhishek Halder
We study the Schrödinger bridge problem (SBP) with nonlinear prior dynamics. In control-theoretic language, this is a problem of minimum effort steering of a given joint state prob…
Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems
Kenneth F. Caluya, Abhishek Halder
In this paper, we study the feedback synthesis problem for steering the joint state density or ensemble subject to multi-input state feedback linearizable dynamics. This problem is…
Proximal Recursion for the Wonham Filter
Abhishek Halder, Tryphon T. Georgiou
This paper contributes to the emerging viewpoint that governing equations for dynamic state estimation, conditioned on the history of noisy measurements, can be viewed as gradient…
The Convex Geometry of Integrator Reach Sets
Shadi Haddad, Abhishek Halder
We study the convex geometry of the forward reach sets for integrator dynamics in finite dimensions with bounded control. We derive closed-form expressions for the volume and the d…
Gradient Flow Algorithms for Density Propagation in Stochastic Systems
Kenneth F. Caluya, Abhishek Halder
We develop a new computational framework to solve the partial differential equations (PDEs) governing the flow of the joint probability density functions (PDFs) in continuous-time…
Hopfield Neural Network Flow: A Geometric Viewpoint
Abhishek Halder, Kenneth F. Caluya, Bertrand Travacca +1
We provide gradient flow interpretations for the continuous-time continuous-state Hopfield neural network (HNN). The ordinary and stochastic differential equations associated with…