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20242026
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math.OC2026

A Trust-Region Interior-Point Stochastic Sequential Quadratic Programming Method

Yuchen Fang, Jihun Kim, Sen Na +2

In this paper, we propose a trust-region interior-point stochastic sequential quadratic programming (TR-IP-SSQP) method for solving optimization problems with a stochastic objectiv…

math.OC2026

TRSVR: An Adaptive Stochastic Trust-Region Method with Variance Reduction

Yuchen Fang, Xinshou Zheng, Javad Lavaei

We propose a stochastic trust-region method for unconstrained nonconvex optimization that incorporates stochastic variance-reduced gradients (SVRG) to accelerate convergence. Unlik…

math.OC2025

On the Sharp Input-Output Analysis of Nonlinear Systems under Adversarial Attacks

Jihun Kim, Yuchen Fang, Javad Lavaei

This paper is concerned with learning the input-output mapping of general nonlinear dynamical systems. While the existing literature focuses on Gaussian inputs and benign disturban…

math.OC2025

High Probability Complexity Bounds of Trust-Region Stochastic Sequential Quadratic Programming with Heavy-Tailed Noise

Yuchen Fang, Javad Lavaei, Sen Na

In this paper, we consider nonlinear optimization problems with a stochastic objective and deterministic equality constraints. We propose a Trust-Region Stochastic Sequential Quadr…

math.OC2024

Trust-Region Sequential Quadratic Programming for Stochastic Optimization with Random Models

Yuchen Fang, Sen Na, Michael W. Mahoney +1

In this work, we consider solving optimization problems with a stochastic objective and deterministic equality constraints. We propose a Trust-Region Sequential Quadratic Programmi…