6 citations · 6 across the 2 of their papers we have counts for
10 papers
Stochastic Uncertainty Propagation in Power System Dynamics using Measure-valued Proximal Recursions
Abhishek Halder, Kenneth F. Caluya, Pegah Ojaghi +1
We present a proximal algorithm that performs a variational recursion on the space of joint probability measures to propagate the stochastic uncertainties in power system dynamics…
Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving
Shadi Haddad, Kenneth F. Caluya, Abhishek Halder +1
We propose a stochastic prediction-control framework to promote safety in automated driving by directly controlling the joint state probability density functions (PDFs) subject to…
Global Convergence of Second-order Dynamics in Two-layer Neural Networks
Walid Krichene, Kenneth F. Caluya, Abhishek Halder
Recent results have shown that for two-layer fully connected neural networks, gradient flow converges to a global optimum in the infinite width limit, by making a connection betwee…
Reflected Schrödinger Bridge: Density Control with Path Constraints
Kenneth F. Caluya, Abhishek Halder
How to steer a given joint state probability density function to another over finite horizon subject to a controlled stochastic dynamics with hard state (sample path) constraints?…
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…