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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…

Optimization and Control · Mathematics 2026-05-12 Linjing Chen , Antai Xie , Xinlei Yi , Xiaoqiang Ren , Xiaofan Wang

In this paper we analyze a zeroth-order proximal stochastic gradient method suitable for the minimization of weakly convex stochastic optimization problems. We consider nonsmooth and nonlinear stochastic composite problems, for which…

Optimization and Control · Mathematics 2025-04-21 Spyridon Pougkakiotis , Dionysios S. Kalogerias

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…

Optimization and Control · Mathematics 2022-10-11 Shengjun Zhang , Tan Shen , Hongwei Sun , Yunlong Dong , Dong Xie , Heng Zhang

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…

Optimization and Control · Mathematics 2024-12-31 Yuya Hikima , Akiko Takeda

This work considers stochastic optimization problems in which the objective function values can only be computed by a blackbox corrupted by some random noise following an unknown distribution. The proposed method is based on sequential…

Optimization and Control · Mathematics 2023-08-15 Charles Audet , Jean Bigeon , Romain Couderc , Michael Kokkolaras

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,…

Optimization and Control · Mathematics 2025-02-13 Xin Chen , Jorge I. Poveda , Na Li

We examine fundamental tradeoffs in iterative distributed zeroth and first order stochastic optimization in multi-agent networks in terms of \emph{communication cost} (number of per-node transmissions) and \emph{computational cost},…

Optimization and Control · Mathematics 2018-09-11 Anit Kumar Sahu , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

In this paper, we focus on solving a distributed convex aggregative optimization problem in a network, where each agent has its own cost function which depends not only on its own decision variables but also on the aggregated function of…

Optimization and Control · Mathematics 2022-07-26 Tongyu Wang , Peng Yi

In this paper, we develop a class of decentralized algorithms for solving a convex resource allocation problem in a network of $n$ agents, where the agent objectives are decoupled while the resource constraints are coupled. The agents…

Optimization and Control · Mathematics 2018-12-18 Angelia Nedić , Alex Olshevsky , Wei Shi

Zeroth-Order (ZO) optimization is pivotal for scenarios where backpropagation is unavailable, such as memory-constrained on-device learning and black-box optimization. However, existing methods face a stark trade-off: they are either…

Machine Learning · Computer Science 2026-05-29 Chen Liang , Xiatao Sun , Qian Wang , Daniel Rakita

This paper presents a distributed optimization scheme over a network of agents in the presence of cost uncertainties and over switching communication topologies. Inspired by recent advances in distributed convex optimization, we propose a…

Optimization and Control · Mathematics 2016-11-15 Saghar Hosseini , Airlie Chapman , Mehran Mesbahi

This paper considers distributed optimization (DO) where multiple agents cooperate to minimize a global objective function, expressed as a sum of local objectives, subject to some constraints. In DO, each agent iteratively solves a local…

Optimization and Control · Mathematics 2023-03-01 Minseok Ryu , Kibaek Kim

Zeroth-order optimization (ZO) algorithms have been recently used to solve black-box or simulation-based learning and control problems, where the gradient of the objective function cannot be easily computed but can be approximated using the…

Optimization and Control · Mathematics 2021-09-09 Yan Zhang , Yi Zhou , Kaiyi Ji , Michael M. Zavlanos

Zeroth-order (ZO) optimization with ordinal feedback has emerged as a fundamental problem in modern machine learning systems, particularly in human-in-the-loop settings such as reinforcement learning from human feedback, preference…

Optimization and Control · Mathematics 2025-12-23 Haishan Ye

This paper studies the decentralized online convex optimization problem for heterogeneous linear multi-agent systems. Agents have access to their time-varying local cost functions related to their own outputs, and there are also…

Optimization and Control · Mathematics 2022-07-05 Yang Yu , Xiuxian Li , Li Li , Lihua Xie

Variance reduction techniques are designed to decrease the sampling variance, thereby accelerating convergence rates of first-order (FO) and zeroth-order (ZO) optimization methods. However, in composite optimization problems, ZO methods…

Machine Learning · Computer Science 2024-05-29 Hao Di , Haishan Ye , Yueling Zhang , Xiangyu Chang , Guang Dai , Ivor W. Tsang

Interest in stochastic zeroth-order (SZO) methods has recently been revived in black-box optimization scenarios such as adversarial black-box attacks to deep neural networks. SZO methods only require the ability to evaluate the objective…

Machine Learning · Statistics 2020-11-11 Mayumi Ohta , Nathaniel Berger , Artem Sokolov , Stefan Riezler

This paper investigates zeroth-order (ZO) finite-sum composite optimization. Recently, variance reduction techniques have been applied to ZO methods to mitigate the non-vanishing variance of 2-point estimators in constrained/composite…

Optimization and Control · Mathematics 2026-01-09 Silan Zhang , Yujie Tang

To design algorithms that reduce communication cost or meet rate constraints and are robust to communication noise, we study convex distributed optimization problems where a set of agents are interested in solving a separable optimization…

Optimization and Control · Mathematics 2023-05-02 Hadi Reisizadeh , Anand Gokhale , Behrouz Touri , Soheil Mohajer

A major challenge of applying zeroth-order (ZO) methods is the high query complexity, especially when queries are costly. We propose a novel gradient estimation technique for ZO methods based on adaptive lazy queries that we term as LAZO.…

Machine Learning · Computer Science 2022-06-16 Quan Xiao , Qing Ling , Tianyi Chen