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09/12/2023
On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems
Schrödinger bridge is a stochastic optimal control problem to steer a gi...
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07/26/2023
Neural Schrödinger Bridge with Sinkhorn Losses: Application to Data-driven Minimum Effort Control of Colloidal Self-assembly
We show that the minimum effort control of colloidal self-assembly can b...
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04/02/2023
Optimal Mass Transport over the Euler Equation
We consider the finite horizon optimal steering of the joint state proba...
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10/25/2022
Proximal Mean Field Learning in Shallow Neural Networks
Recent mean field interpretations of learning dynamics in over-parameter...
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10/04/2022
Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets
We consider estimating a compact set from finite data by approximating t...
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08/19/2022
A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly
We propose formulating the finite-horizon stochastic optimal control pro...
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06/23/2022
Hausdorff Distance between Norm Balls and their Linear Maps
We consider the problem of computing the (two-sided) Hausdorff distance ...
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02/17/2022
A Distributed Algorithm for Measure-valued Optimization with Additive Objective
We propose a distributed nonparametric algorithm for solving measure-val...
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03/25/2021
On the Convexity of Discrete Time Covariance Steering in Stochastic Linear Systems with Wasserstein Terminal Cost
In this work, we analyze the properties of the solution to the covarianc...
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07/14/2020
Global Convergence of Second-order Dynamics in Two-layer Neural Networks
Recent results have shown that for two-layer fully connected neural netw...
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03/31/2020
Reflected Schrödinger Bridge: Density Control with Path Constraints
How to steer a given joint state probability density function to another...
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08/04/2019
Hopfield Neural Network Flow: A Geometric Viewpoint
We provide gradient flow interpretations for the continuous-time continu...
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08/01/2019
Gradient Flow Algorithms for Density Propagation in Stochastic Systems
We develop a new computational framework to solve the partial differenti...
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12/29/2018