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This paper considers distributed online convex constrained optimization, in which various agents in a multi-agent system cooperate to minimize a global cost function through communicating with neighbors over a time-varying network. When the…

最优化与控制 · 数学 2023-02-02 Wentao Zhang , Yang Shi , Baoyong Zhang , Deming Yuan

The goal of decentralized optimization over a network is to optimize a global objective formed by a sum of local (possibly nonsmooth) convex functions using only local computation and communication. It arises in various application domains,…

最优化与控制 · 数学 2015-03-17 John Duchi , Alekh Agarwal , Martin Wainwright

In this paper, we propose three online algorithms for submodular maximisation. The first one, Mono-Frank-Wolfe, reduces the number of per-function gradient evaluations from $T^{1/2}$ [Chen2018Online] and $T^{3/2}$ [chen2018projection] to 1,…

机器学习 · 计算机科学 2019-10-29 Mingrui Zhang , Lin Chen , Hamed Hassani , Amin Karbasi

We investigate the finite-time analysis of finding ($\delta,\epsilon$)-stationary points for nonsmooth nonconvex objectives in decentralized stochastic optimization. A set of agents aim at minimizing a global function using only their local…

最优化与控制 · 数学 2024-06-04 Emre Sahinoglu , Shahin Shahrampour

Decentralized optimization is a common paradigm used in distributed signal processing and sensing as well as privacy-preserving and large-scale machine learning. It is assumed that several computational entities locally hold objective…

最优化与控制 · 数学 2023-01-12 Alexander Rogozin , Demyan Yarmoshik , Ksenia Kopylova , Alexander Gasnikov

In this paper, we consider the problem of distributed online convex optimization, where a network of local agents aim to jointly optimize a convex function over a period of multiple time steps. The agents do not have any information about…

最优化与控制 · 数学 2019-11-13 Yan Zhang , Robert J. Ravier , Michael M. Zavlanos , Vahid Tarokh

In this paper, we study decentralized online stochastic non-convex optimization over a network of nodes. Integrating a technique called gradient tracking in decentralized stochastic gradient descent, we show that the resulting algorithm,…

最优化与控制 · 数学 2021-04-21 Ran Xin , Usman A. Khan , Soummya Kar

Smoothness is known to be crucial for acceleration in offline optimization, and for gradient-variation regret minimization in online learning. Interestingly, these two problems are actually closely connected -- accelerated optimization can…

机器学习 · 计算机科学 2025-11-05 Yuheng Zhao , Yu-Hu Yan , Kfir Yehuda Levy , Peng Zhao

As distributed learning applications such as Federated Learning, the Internet of Things (IoT), and Edge Computing grow, it is critical to address the shortcomings of such technologies from a theoretical perspective. As an abstraction, we…

机器学习 · 计算机科学 2025-03-14 Sajjad Ghiasvand , Amirhossein Reisizadeh , Mahnoosh Alizadeh , Ramtin Pedarsani

The computational bottleneck in applying online learning to massive data sets is usually the projection step. We present efficient online learning algorithms that eschew projections in favor of much more efficient linear optimization steps…

机器学习 · 计算机科学 2012-06-22 Elad Hazan , Satyen Kale

This paper considers the problem of online optimization where the objective function is time-varying. In particular, we extend coordinate descent type algorithms to the online case, where the objective function varies after a finite number…

最优化与控制 · 数学 2024-04-26 Yankai Lin , Iman Shames , Dragan Nešić

We study online convex optimization in the random order model, recently proposed by \citet{garber2020online}, where the loss functions may be chosen by an adversary, but are then presented to the online algorithm in a uniformly random…

机器学习 · 计算机科学 2021-06-30 Uri Sherman , Tomer Koren , Yishay Mansour

Differentially private (DP) stochastic convex optimization (SCO) is ubiquitous in trustworthy machine learning algorithm design. This paper studies the DP-SCO problem with streaming data sampled from a distribution and arrives sequentially.…

机器学习 · 计算机科学 2022-06-17 Yuxuan Han , Zhicong Liang , Zhipeng Liang , Yang Wang , Yuan Yao , Jiheng Zhang

We study a generic class of decentralized algorithms in which $N$ agents jointly optimize the non-convex objective $f(u):=1/N\sum_{i=1}^{N}f_i(u)$, while only communicating with their neighbors. This class of problems has become popular in…

最优化与控制 · 数学 2020-06-23 Mingyi Hong , Siliang Zeng , Junyu Zhang , Haoran Sun

In this paper, we consider online continuous DR-submodular maximization with linear stochastic long-term constraints. Compared to the prior work on online submodular maximization, our setting introduces the extra complication of stochastic…

最优化与控制 · 数学 2021-05-24 Prasanna Sanjay Raut , Omid Sadeghi , Maryam Fazel

We consider the problem of bandit optimization, inspired by stochastic optimization and online learning problems with bandit feedback. In this problem, the objective is to minimize a global loss function of all the actions, not necessarily…

机器学习 · 计算机科学 2017-09-07 Quentin Berthet , Vianney Perchet

In this paper, the online variants of the classical Frank-Wolfe algorithm are considered. We consider minimizing the regret with a stochastic cost. The online algorithms only require simple iterative updates and a non-adaptive step size…

机器学习 · 统计学 2016-08-16 Jean Lafond , Hoi-To Wai , Eric Moulines

The development of online algorithms to track time-varying systems has drawn a lot of attention in the last years, in particular in the framework of online convex optimization. Meanwhile, sparse time-varying optimization has emerged as a…

最优化与控制 · 数学 2020-02-03 Sophie M. Fosson

Decentralized federated learning (DFL) captures FL settings where both (i) model updates and (ii) model aggregations are exclusively carried out by the clients without a central server. Existing DFL works have mostly focused on settings…

Distributed optimization is the standard way of speeding up machine learning training, and most of the research in the area focuses on distributed first-order, gradient-based methods. Yet, there are settings where some…

机器学习 · 计算机科学 2025-11-03 Matin Ansaripour , Shayan Talaei , Giorgi Nadiradze , Dan Alistarh