30 citations · 61 across the 30 of their papers we have counts for
43 papers
Linear Exponential Quadratic Gaussian Covariance Steering
Chiran B. Cherian, Yasemin Isik, Abhishek Halder
We formulate and analyze the linear exponential quadratic Gaussian (LEQG) covariance steering problem in continuous time over a given deadline (finite time horizon). The solution f…
Neural Schrödinger Bridge with Sinkhorn Losses: Application to Data-driven Minimum Effort Control of Colloidal Self-assembly
Iman Nodozi, Charlie Yan, Mira Khare +2
We show that the minimum effort control of colloidal self-assembly can be naturally formulated in the order-parameter space as a generalized Schrödinger bridge problem -- a class o…
Optimal Mass Transport over the Euler Equation
Charlie Yan, Iman Nodozi, Abhishek Halder
We consider the finite horizon optimal steering of the joint state probability distribution subject to the angular velocity dynamics governed by the Euler equation. The problem and…
A Controlled Mean Field Model for Chiplet Population Dynamics
Iman Nodozi, Abhishek Halder, Ion Matei
In micro-assembly applications, ensemble of chiplets immersed in a dielectric fluid are steered using dielectrophoretic forces induced by an array of electrode population. Generali…
Proximal Mean Field Learning in Shallow Neural Networks
Alexis Teter, Iman Nodozi, Abhishek Halder
We propose a custom learning algorithm for shallow over-parameterized neural networks, i.e., networks with single hidden layer having infinite width. The infinite width of the hidd…
Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets
Shadi Haddad, Abhishek Halder
We consider estimating a compact set from finite data by approximating the support function of that set via sublinear regression. Support functions uniquely characterize a compact…