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相关论文: Nonlinear-Gain Distributed Zeroth-Order Optimizati…

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In this letter, we first propose a \underline{Z}eroth-\underline{O}rder c\underline{O}ordinate \underline{M}ethod~(ZOOM) to solve the stochastic optimization problem over a decentralized network with only zeroth-order~(ZO) oracle feedback…

最优化与控制 · 数学 2022-10-11 Shengjun Zhang , Tan Shen , Hongwei Sun , Yunlong Dong , Dong Xie , Heng Zhang

This paper investigates how to accelerate the convergence of distributed optimization algorithms on nonconvex problems with zeroth-order information available only. We propose a zeroth-order (ZO) distributed primal-dual stochastic…

最优化与控制 · 数学 2021-10-15 Shengjun Zhang , Colleen P. Bailey

We consider a zeroth-order distributed optimization problem, where the global objective function is a black-box function and, as such, its gradient information is inaccessible to the local agents. Instead, the local agents can only use the…

最优化与控制 · 数学 2021-09-29 Yi Shen , Yan Zhang , Scott Nivison , Zachary I. Bell , Michael M. Zavlanos

This paper studies a compressed momentum-based single-point zeroth-order algorithm for stochastic distributed nonconvex optimization, aiming to alleviate communication overhead and address the unavailability of explicit gradient…

最优化与控制 · 数学 2026-05-12 Linjing Chen , Antai Xie , Xinlei Yi , Xiaoqiang Ren , Xiaofan Wang

In this paper, we consider a stochastic distributed nonconvex optimization problem with the cost function being distributed over $n$ agents having access only to zeroth-order (ZO) information of the cost. This problem has various machine…

最优化与控制 · 数学 2022-01-11 Xinlei Yi , Shengjun Zhang , Tao Yang , Karl H. Johansson

Recently introduced distributed zeroth-order optimization (ZOO) algorithms have shown their utility in distributed reinforcement learning (RL). Unfortunately, in the gradient estimation process, almost all of them require random samples…

系统与控制 · 电气工程与系统科学 2024-05-06 Gangshan Jing , He Bai , Jemin George , Aranya Chakrabortty , Piyush K. Sharma

This paper studies the stochastic distributed nonconvex optimization problem over a network of agents, where agents only access stochastic zeroth-order information about their local cost functions and collaboratively optimize the global…

最优化与控制 · 数学 2025-09-01 Haonan Wang , Xinlei Yi , Yiguang Hong

Zeroth-order optimization (ZO) has been a powerful framework for solving black-box problems, which estimates gradients using zeroth-order data to update variables iteratively. The practical applicability of ZO critically depends on the…

最优化与控制 · 数学 2026-03-03 Ruiyang Jin , Yuke Zhou , Yujie Tang , Jie Song , Siyang Gao

Zero-order (ZO) optimization is a powerful tool for dealing with realistic constraints. On the other hand, the gradient-tracking (GT) technique proved to be an efficient method for distributed optimization aiming to achieve consensus.…

机器学习 · 计算机科学 2024-10-10 Elissa Mhanna , Mohamad Assaad

We study mathematical programs with equilibrium constraints, in which a leader knows their own cost function, but lacks a model of the followers' response. Instead, the leader can only query this response at specific points. While this…

最优化与控制 · 数学 2026-05-19 Miriam Fischer , Dario Paccagnan

In this paper, we consider a distributed stochastic non-convex optimization problem, which is about minimizing a sum of $n$ local cost functions over a network with only zeroth-order information. A novel single-loop Decentralized…

最优化与控制 · 数学 2023-10-31 Hongxu Chen , Jinchi Chen , Ke Wei

In this study, we consider an optimization problem with uncertainty dependent on decision variables, which has recently attracted attention due to its importance in machine learning and pricing applications. In this problem, the gradient of…

最优化与控制 · 数学 2024-12-31 Yuya Hikima , Akiko Takeda

Non-analytical objectives and constraints often arise in control systems, particularly in problems with complex dynamics, which are challenging yet lack efficient solution methods. In this work, we consider general constrained optimization…

最优化与控制 · 数学 2025-07-16 Yuke Zhou , Ruiyang Jin , Siyang Gao , Jianxiao Wang , Jie Song

This paper introduces a class of model-free feedback methods for solving generic constrained optimization problems where the specific mathematical forms of the objective and constraint functions are not available. The proposed methods,…

最优化与控制 · 数学 2025-02-13 Xin Chen , Jorge I. Poveda , Na Li

Safe derivative-free optimization under unknown constraints is a fundamental challenge in modern learning and control. Existing zeroth-order (ZO) methods typically still assume access to a first-order oracle of the constraint functions or…

最优化与控制 · 数学 2026-01-29 Runyu Zhang , Gioele Zardini , Asuman Ozdaglar , Jeff Shamma , Na Li

This paper investigates the stochastic distributed nonconvex optimization problem of minimizing a global cost function formed by the summation of $n$ local cost functions. We solve such a problem by involving zeroth-order (ZO) information…

最优化与控制 · 数学 2021-10-15 Shengjun Zhang , Yunlong Dong , Dong Xie , Lisha Yao , Colleen P. Bailey , Shengli Fu

In this work, we consider a distributed multi-agent stochastic optimization problem, where each agent holds a local objective function that is smooth and convex, and that is subject to a stochastic process. The goal is for all agents to…

最优化与控制 · 数学 2022-10-12 Elissa Mhanna , Mohamad Assaad

In this paper, the problem of online distributed zeroth-order optimization subject to a set constraint is studied via a multi-agent network, where each agent can communicate with its immediate neighbors via a time-varying directed graph.…

系统与控制 · 电气工程与系统科学 2025-11-05 Yanfu Qin , Kaihong Lu

This paper investigates distributed zeroth-order feedback optimization in multi-agent systems with coupled constraints, where each agent operates its local action vector and observes only zeroth-order information to minimize a global cost…

最优化与控制 · 数学 2024-10-17 Yingpeng Duan , Yujie Tang

In the paper, we propose a class of accelerated zeroth-order and first-order momentum methods for both nonconvex mini-optimization and minimax-optimization. Specifically, we propose a new accelerated zeroth-order momentum (Acc-ZOM) method…

最优化与控制 · 数学 2022-01-19 Feihu Huang , Shangqian Gao , Jian Pei , Heng Huang
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