30 citations · 61 across the 30 of their papers we have counts for
7 papers · 1 filter
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…
A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly
Iman Nodozi, Jared O'Leary, Ali Mesbah +1
We propose formulating the finite-horizon stochastic optimal control problem for colloidal self-assembly in the space of probability density functions (PDFs) of the underlying stat…
A Note on the Hausdorff Distance between Norm Balls and their Linear Maps
Shadi Haddad, Abhishek Halder
We consider the problem of computing the (two-sided) Hausdorff distance between the unit and norm balls in finite dimensional Euclidean space for $1 \…
Certifying the Intersection of Reach Sets of Integrator Agents with Set-valued Input Uncertainties
Shadi Haddad, Abhishek Halder
We consider the problem of verifying safety for a pair of identical integrator agents in continuous time with compact set-valued input uncertainties. We encode this verification pr…
A Distributed Algorithm for Measure-valued Optimization with Additive Objective
Iman Nodozi, Abhishek Halder
We propose a distributed nonparametric algorithm for solving measure-valued optimization problems with additive objectives. Such problems arise in several contexts in stochastic le…