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A framework is introduced for sequentially solving convex stochastic minimization problems, where the objective functions change slowly, in the sense that the distance between successive minimizers is bounded. The minimization problems are…

最优化与控制 · 数学 2018-03-12 Craig Wilson , Venugopal Veeravalli , Angelia Nedich

This paper considers the problem of multi-agent distributed optimization. In this problem, there are multiple agents in the system, and each agent only knows its local cost function. The objective for the agents is to collectively compute a…

最优化与控制 · 数学 2020-03-31 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

We consider continuous-time dynamics for distributed optimization with set constraints in the paper. To handle the computational complexity of projection-based dynamics due to solving a general quadratic optimization subproblem with…

最优化与控制 · 数学 2022-06-24 Guanpu Chen , Peng Yi , Yiguang Hong , Jie Chen

We propose and analyze a new stochastic gradient method, which we call Stochastic Unbiased Curvature-aided Gradient (SUCAG), for finite sum optimization problems. SUCAG constitutes an unbiased total gradient tracking technique that uses…

最优化与控制 · 数学 2018-10-30 Hoi-To Wai , Nikolaos M. Freris , Angelia Nedic , Anna Scaglione

Stochastic gradient descent (SGD) is perhaps the most prevalent optimization method in modern machine learning. Contrary to the empirical practice of sampling from the datasets without replacement and with (possible) reshuffling at each…

最优化与控制 · 数学 2024-02-08 Xufeng Cai , Cheuk Yin Lin , Jelena Diakonikolas

Decentralized optimization is a promising parallel computation paradigm for large-scale data analytics and machine learning problems defined over a network of nodes. This paper is concerned with decentralized non-convex composite problems…

最优化与控制 · 数学 2021-10-05 Ran Xin , Subhro Das , Usman A. Khan , Soummya Kar

Conic optimization is the minimization of a differentiable convex objective function subject to conic constraints. We propose a novel primal-dual first-order method for conic optimization, named proportional-integral projected gradient…

最优化与控制 · 数学 2021-12-15 Yue Yu , Purnanand Elango , Ufuk Topcu , Behçet Açıkmeşe

Stochastic nonconvex optimization problems with nonlinear constraints have a broad range of applications in intelligent transportation, cyber-security, and smart grids. In this paper, first, we propose an inexact-proximal accelerated…

最优化与控制 · 数学 2021-07-08 Morteza Boroun , Afrooz Jalilzadeh

Discrete diffusion models generate structured sequences by progressively unmasking tokens, but enforcing global property constraints during generation remains an open challenge. We propose primal-dual guided decoding, an inference-time…

人工智能 · 计算机科学 2026-05-12 Federico Tomasi , Dmitrii Moor , Alice Wang , Mounia Lalmas

Resource allocation is a fundamental problem in Industrial Internet of Things (IIoT) systems, in which devices work together under limited communication bandwidth to complete diverse tasks. This paper proposes a communication-efficient…

最优化与控制 · 数学 2026-05-26 Yuzhu Duan , Ziwen Yang , Xiaoming Duan , Shanying Zhu

We propose a new distributed optimization algorithm for solving a class of constrained optimization problems in which (a) the objective function is separable (i.e., the sum of local objective functions of agents), (b) the optimization…

最优化与控制 · 数学 2021-06-16 Van Sy Mai , Richard J. La , Tao Zhang , Abdella Battou

We investigate a distributed optimization problem over a cooperative multi-agent time-varying network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

最优化与控制 · 数学 2018-05-24 Chuanye Gu , Zhiyou Wu , Jueyou Li

Nonconvex and nonsmooth optimization problems are frequently encountered in much of statistics, business, science and engineering, but they are not yet widely recognized as a technology in the sense of scalability. A reason for this…

最优化与控制 · 数学 2018-01-19 Bo Jiang , Tianyi Lin , Shiqian Ma , Shuzhong Zhang

Motivated by the increasing availability of high-performance parallel computing, we design a distributed parallel algorithm for linearly-coupled block-structured nonconvex constrained optimization problems. Our algorithm performs…

最优化与控制 · 数学 2021-12-17 Anirudh Subramanyam , Youngdae Kim , Michel Schanen , François Pacaud , Mihai Anitescu

We develop and analyze an asynchronous algorithm for distributed convex optimization when the objective writes a sum of smooth functions, local to each worker, and a non-smooth function. Unlike many existing methods, our distributed…

最优化与控制 · 数学 2019-12-13 Konstantin Mishchenko , Franck Iutzeler , Jérôme Malick

Distributed online learning has been proven extremely effective in solving large-scale machine learning problems over streaming data. However, information sharing between learners in distributed learning also raises concerns about the…

机器学习 · 计算机科学 2023-10-31 Ziqin Chen , Yongqiang Wang

Many modern large-scale machine learning problems benefit from decentralized and stochastic optimization. Recent works have shown that utilizing both decentralized computing and local stochastic gradient estimates can outperform…

最优化与控制 · 数学 2020-11-06 Haoran Sun , Songtao Lu , Mingyi Hong

We propose randomized subspace gradient methods for high-dimensional constrained optimization. While there have been similarly purposed studies on unconstrained optimization problems, there have been few on constrained optimization problems…

最优化与控制 · 数学 2023-07-10 Ryota Nozawa , Pierre-Louis Poirion , Akiko Takeda

A sequential solver for differential-algebraic equations with embedded optimization criteria (DAEOs) was developed to take advantage of the theoretical work done by Deussen et al. Solvers of this type separate the optimization problem from…

最优化与控制 · 数学 2024-10-22 Alexander Fleming , Jens Deussen , Uwe Naumann

A constrained optimization problem is primal infeasible if its constraints cannot be satisfied, and dual infeasible if the constraints of its dual problem cannot be satisfied. We propose a novel iterative method, named proportional-integral…

最优化与控制 · 数学 2021-09-14 Yue Yu , Ufuk Topcu
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