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20242026
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math.OC2026

Time-Reversed BSDEs for Accurate Gradient Estimation in Diffusion Models

Yuhang Mei, Amirhossein Taghvaei

There is a growing literature adopting a stochastic optimal control (SOC) perspective to fine-tune diffusion models and related generative policies. A prominent class of methods, k…

math.OC2025

A lasso-alternative to Dijkstra's algorithm for identifying short paths in networks

Anqi Dong, Amirhossein Taghvaei, Tryphon T. Georgiou

We revisit the problem of finding the shortest path between two selected vertices of a graph and formulate this as an -regularized regression -- Least Absolute Shrinkage an…

math.OC2025

A convex approach for Markov chain estimation from aggregate data via inverse optimal transport

Michele Mascherpa, Axel Ringh, Amirhossein Taghvaei +1

We address the problem of identifying the dynamical law governing the evolution of a population of indistinguishable particles, when only aggregate distributions at successive time…

math.OC2025

A Time-Reversal Control Synthesis for Steering the State of Stochastic Systems

Yuhang Mei, Amirhossein Taghvaei, Ali Pakniyat

This paper presents a novel approach for steering the state of a stochastic control-affine system to a desired target within a finite time horizon. Our method leverages the time-re…

math.OC2025

Fast filtering of non-Gaussian models using Amortized Optimal Transport Maps

Mohammad Al-Jarrah, Bamdad Hosseini, Amirhossein Taghvaei

In this paper, we present the amortized optimal transport filter (A-OTF) designed to mitigate the computational burden associated with the real-time training of optimal transport f…

math.OC2025

Time-reversal solution of BSDEs in stochastic optimal control: a linear quadratic study

Yuhang Mei, Amirhossein Taghvaei

This paper addresses the numerical solution of backward stochastic differential equations (BSDEs) arising in stochastic optimal control. Specifically, we investigate two BSDEs: one…