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In this paper, we propose a stochastic search algorithm for solving general optimization problems with little structure. The algorithm iteratively finds high quality solutions by randomly sampling candidate solutions from a parameterized…

最优化与控制 · 数学 2013-01-08 Enlu Zhou , Jiaqiao Hu

In this paper, we design a novel distributed learning algorithm using stochastic compressed communications. In detail, we pursue a modular approach, merging ADMM and a gradient-based approach, benefiting from the robustness of the former…

最优化与控制 · 数学 2025-07-01 Guido Carnevale , Nicola Bastianello

We develop a distributed algorithm for convex Empirical Risk Minimization, the problem of minimizing large but finite sum of convex functions over networks. The proposed algorithm is derived from directly discretizing the second-order…

最优化与控制 · 数学 2018-11-07 Jingzhao Zhang , César A. Uribe , Aryan Mokhtari , Ali Jadbabaie

This paper considers a class of constrained stochastic composite optimization problems whose objective function is given by the summation of a differentiable (possibly nonconvex) component, together with a certain non-differentiable (but…

最优化与控制 · 数学 2013-09-06 Saeed Ghadimi , Guanghui Lan , Hongchao Zhang

We present an efficient distributed online learning scheme to classify data captured from distributed, heterogeneous, and dynamic data sources. Our scheme consists of multiple distributed local learners, that analyze different streams of…

机器学习 · 计算机科学 2013-08-27 Luca Canzian , Yu Zhang , Mihaela van der Schaar

We consider distributed optimization where the objective function is spread among different devices, each sending incremental model updates to a central server. To alleviate the communication bottleneck, recent work proposed various schemes…

最优化与控制 · 数学 2019-04-11 Samuel Horváth , Dmitry Kovalev , Konstantin Mishchenko , Sebastian Stich , Peter Richtárik

Solving linear programs is often a challenging task in distributed settings. While there are good algorithms for solving packing and covering linear programs in a distributed manner (Kuhn et al.~2006), this is essentially the only class of…

数据结构与算法 · 计算机科学 2017-09-12 Michael Dinitz , Yasamin Nazari

Distributed consensus optimization has received considerable attention in recent years; several distributed consensus-based algorithms have been proposed for (nonsmooth) convex and (smooth) nonconvex objective functions. However, the…

最优化与控制 · 数学 2019-11-05 Vyacheslav Kungurtsev

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

最优化与控制 · 数学 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn

In statistical learning for real-world large-scale data problems, one must often resort to "streaming" algorithms which operate sequentially on small batches of data. In this work, we present an analysis of the information-theoretic limits…

机器学习 · 统计学 2018-01-22 Andre Manoel , Florent Krzakala , Eric W. Tramel , Lenka Zdeborová

In this paper, a gradient-free distributed algorithm is introduced to solve a set constrained optimization problem under a directed communication network. Specifically, at each time-step, the agents locally compute a so-called…

最优化与控制 · 数学 2021-09-06 Yipeng Pang , Guoqiang Hu

The recently developed Distributed Block Proximal Method, for solving stochastic big-data convex optimization problems, is studied in this paper under the assumption of constant stepsizes and strongly convex (possibly non-smooth) local…

最优化与控制 · 数学 2020-03-06 Francesco Farina , Giuseppe Notarstefano

This paper aims at proposing a procedure to derive distributed algorithms for distributed consensus-based optimization by using distributed algorithms for network resource allocation and vice versa over switching networks with/without…

最优化与控制 · 数学 2022-08-04 Seyyed Shaho Alaviani , Atul Gajanan Kelkar , Umesh Vaidya

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

This chapter introduces the \emph{random-order model} in online algorithms. In this model, the input is chosen by an adversary, then randomly permuted before being presented to the algorithm. This reshuffling often weakens the power of the…

数据结构与算法 · 计算机科学 2020-02-28 Anupam Gupta , Sahil Singla

For discrete-time linear systems subject to parametric uncertainty described by random variables, we develop a sampling-based Stochastic Model Predictive Control algorithm. Unlike earlier results employing a scenario approximation, we…

系统与控制 · 计算机科学 2016-06-21 Matthias Lorenzen , Fabrizio Dabbene , Roberto Tempo , Frank Allgöwer

Majorization-minimization algorithms consist of iteratively minimizing a majorizing surrogate of an objective function. Because of its simplicity and its wide applicability, this principle has been very popular in statistics and in signal…

机器学习 · 统计学 2013-09-11 Julien Mairal

Stochastic variance reduced methods have gained a lot of interest recently for empirical risk minimization due to its appealing run time complexity. When the data size is large and disjointly stored on different machines, it becomes…

机器学习 · 计算机科学 2020-08-26 Shicong Cen , Huishuai Zhang , Yuejie Chi , Wei Chen , Tie-Yan Liu

In this paper, we propose a distributed first-order algorithm with backtracking linesearch for solving multi-agent minimisation problems, where each agent handles a local objective involving nonsmooth and smooth components. Unlike existing…

最优化与控制 · 数学 2025-05-14 Felipe Atenas , Minh N. Dao , Matthew K. Tam

We study here a fixed mini-batch gradient decent (FMGD) algorithm to solve optimization problems with massive datasets. In FMGD, the whole sample is split into multiple non-overlapping partitions. Once the partitions are formed, they are…

统计计算 · 统计学 2023-04-17 Haobo Qi , Feifei Wang , Hansheng Wang