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This paper studies the distributed optimization problem with possibly nonidentical local constraints, where its global objective function is composed of $N$ convex functions. The aim is to solve the considered optimization problem in a…

最优化与控制 · 数学 2022-08-26 Hongzhe Liu , Wenwu Yu , Guanghui Wen , Wei Xing Zheng

In this paper, we study distributed algorithms for large-scale AUC maximization with a deep neural network as a predictive model. Although distributed learning techniques have been investigated extensively in deep learning, they are not…

分布式、并行与集群计算 · 计算机科学 2020-10-12 Zhishuai Guo , Mingrui Liu , Zhuoning Yuan , Li Shen , Wei Liu , Tianbao Yang

In this paper, we consider the problem of stochastic optimization, where the objective function is in terms of the expectation of a (possibly non-convex) cost function that is parametrized by a random variable. While the convergence speed…

信息论 · 计算机科学 2019-10-23 Naeimeh Omidvar , An Liu , Vincent Lau , Danny H. K. Tsang , Mohammad Reza Pakravan

Denoising-based models, including diffusion and flow matching, have led to substantial advances in graph generation. Despite this progress, such models remain constrained by two fundamental limitations: a computational cost that scales…

机器学习 · 计算机科学 2026-04-02 Yoann Boget , Pablo Strasser , Alexandros Kalousis

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

数据结构与算法 · 计算机科学 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

We present DUAL-LOCO, a communication-efficient algorithm for distributed statistical estimation. DUAL-LOCO assumes that the data is distributed according to the features rather than the samples. It requires only a single round of…

机器学习 · 统计学 2016-08-04 Christina Heinze , Brian McWilliams , Nicolai Meinshausen

Stochastic optimization algorithms update models with cheap per-iteration costs sequentially, which makes them amenable for large-scale data analysis. Such algorithms have been widely studied for structured sparse models where the sparsity…

机器学习 · 计算机科学 2019-05-10 Baojian Zhou , Feng Chen , Yiming Ying

Distributed stochastic optimization algorithms can simultaneously process large-scale datasets, significantly accelerating model training. However, their effectiveness is often hindered by the sparsity of distributed networks and data…

机器学习 · 计算机科学 2025-02-14 Yuchen Hu , Xi Chen , Weidong Liu , Xiaojun Mao

We study a continuous-time primal-dual algorithm for distributed optimization with nonconvex local cost functions over weight-unbalanced digraphs, and analyze its performance from a dissipativity-based perspective. We first reformulate the…

最优化与控制 · 数学 2026-02-10 Weijian Li , Panos J. Antsaklis , Hai Lin

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

In this work, we introduce the Resilient Projected Push-Pull (RP3) algorithm designed for distributed optimization in multi-agent cyber-physical systems with directed communication graphs and the presence of malicious agents. Our algorithm…

系统与控制 · 电气工程与系统科学 2024-07-10 Arif Kerem Dayı , Orhan Eren Akgün , Stephanie Gil , Michal Yemini , Angelia Nedić

The goal of robust motion planning consists of designing open-loop controls which optimally steer a system to a specific target region while mitigating uncertainties and disturbances which affect the dynamics. Recently, stochastic optimal…

最优化与控制 · 数学 2023-03-03 Clara Leparoux , Riccardo Bonalli , Bruno Hérissé , Frédéric Jean

In this paper, we propose a distributed algorithm, called Directed-Distributed Gradient Descent (D-DGD), to solve multi-agent optimization problems over directed graphs. Existing algorithms mostly deal with similar problems under the…

最优化与控制 · 数学 2016-02-02 Chenguang Xi , Qiong Wu , Usman A. Khan

Decentralization is a promising method of scaling up parallel machine learning systems. In this paper, we provide a tight lower bound on the iteration complexity for such methods in a stochastic non-convex setting. Our lower bound reveals a…

机器学习 · 计算机科学 2022-01-31 Yucheng Lu , Christopher De Sa

We discuss a graph-based approach for testing spatial point patterns. This approach falls under the category of data-random graphs, which have been introduced and used for statistical pattern recognition in recent years. Our goal is to test…

统计方法学 · 统计学 2008-02-06 E. Ceyhan , C. E. Priebe , D. J. Marchette

Neural networks offer high-accuracy solutions to a range of problems, but are costly to run in production systems because of computational and memory requirements during a forward pass. Given a trained network, we propose a techique called…

计算机视觉与模式识别 · 计算机科学 2018-06-18 Michele Pratusevich

Most distributed machine learning systems nowadays, including TensorFlow and CNTK, are built in a centralized fashion. One bottleneck of centralized algorithms lies on high communication cost on the central node. Motivated by this, we ask,…

最优化与控制 · 数学 2017-09-12 Xiangru Lian , Ce Zhang , Huan Zhang , Cho-Jui Hsieh , Wei Zhang , Ji Liu

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

最优化与控制 · 数学 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

This work aims at improving the energy efficiency of decentralized learning by optimizing the mixing matrix, which controls the communication demands during the learning process. Through rigorous analysis based on a state-of-the-art…

机器学习 · 计算机科学 2024-05-24 Xusheng Zhang , Cho-Chun Chiu , Ting He

We consider a decentralized learning setting in which data is distributed over nodes in a graph. The goal is to learn a global model on the distributed data without involving any central entity that needs to be trusted. While gossip-based…

信息论 · 计算机科学 2021-03-17 Ghadir Ayache , Salim El Rouayheb