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In this work, we study the experts problem in the distributed setting where an expert's cost needs to be aggregated across multiple servers. Our study considers various communication models such as the message-passing model and the…

Machine Learning · Computer Science 2025-01-07 Zhihao Jia , Qi Pang , Trung Tran , David Woodruff , Zhihao Zhang , Wenting Zheng

Federated learning is a framework for distributed optimization that places emphasis on communication efficiency. In particular, it follows a client-server broadcast model and is particularly appealing because of its ability to accommodate…

Machine Learning · Computer Science 2022-03-30 Han Wang , Siddartha Marella , James Anderson

This work concerns the analysis and design of distributed first-order optimization algorithms over time-varying graphs. The goal of such algorithms is to optimize a global function that is the average of local functions using only local…

Optimization and Control · Mathematics 2020-02-17 Akhil Sundararajan , Bryan Van Scoy , Laurent Lessard

Communication efficiency arises as a necessity in federated learning due to limited communication bandwidth. To this end, the present paper develops an algorithmic framework where an ensemble of pre-trained models is learned. At each…

Machine Learning · Computer Science 2022-03-01 Pouya M Ghari , Yanning Shen

We consider the problems of distributed heavy hitters and frequency moments in both the coordinator model and the distributed tracking model (also known as the distributed functional monitoring model). We present simple and optimal (up to…

Data Structures and Algorithms · Computer Science 2025-05-21 Zengfeng Huang , Zhongzheng Xiong , Xiaoyi Zhu , Zhewei Wei

We consider the task of minimizing the sum of smooth and strongly convex functions stored in a decentralized manner across the nodes of a communication network whose links are allowed to change in time. We solve two fundamental problems for…

Optimization and Control · Mathematics 2021-06-09 Dmitry Kovalev , Elnur Gasanov , Peter Richtárik , Alexander Gasnikov

In the distributed monitoring model, a data stream over a universe of size $n$ is distributed over $k$ servers, who must continuously provide certain statistics of the overall dataset, while minimizing communication with a central…

Data Structures and Algorithms · Computer Science 2025-10-28 Honghao Lin , Zhao Song , David P. Woodruff , Shenghao Xie , Samson Zhou

In this paper, we consider a network of processors aiming at cooperatively solving mixed-integer convex programs subject to uncertainty. Each node only knows a common cost function and its local uncertain constraint set. We propose a…

Optimization and Control · Mathematics 2022-07-19 Mohammadreza Chamanbaz , Giuseppe Notarstefano , Francesco Sasso , Roland Bouffanais

We study a bi-objective optimization problem, which for a given positive real number $n$ aims to find a vector $X = \{x_0,\cdots,x_{k-1}\} \in \mathbb{R}^{k}_{\ge 0}$ such that $\sum_{i=0}^{k-1} x_i = n$, minimizing the maximum of $k$…

Optimization and Control · Mathematics 2022-09-07 Hamidreza Khaleghzadeh , Ravi Reddy Manumachu , Alexey Lastovetsky

We study optimal distributed first-order optimization algorithms when the network (i.e., communication constraints between the agents) changes with time. This problem is motivated by scenarios where agents experience network malfunctions.…

Optimization and Control · Mathematics 2019-12-02 Alexander Rogozin , César A. Uribe , Alexander Gasnikov , Nikolay Malkovsky , Angelia Nedić

We consider distributed online convex optimization problems, where the distributed system consists of various computing units connected through a time-varying communication graph. In each time step, each computing unit selects a constrained…

Machine Learning · Computer Science 2019-12-23 Deming Yuan , Alexandre Proutiere , Guodong Shi

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

We study the general norm optimization for combinatorial problems, initiated by Chakrabarty and Swamy (STOC 2019). We propose a general formulation that captures a large class of combinatorial structures: we are given a set $U$ of $n$…

Data Structures and Algorithms · Computer Science 2025-05-01 Kuowen Chen , Jian Li , Yuval Rabani , Yiran Zhang

Federated learning faces challenges due to the heterogeneity in data volumes and distributions at different clients, which can compromise model generalization ability to various distributions. Existing approaches to address this issue based…

Machine Learning · Computer Science 2024-11-13 Zhishuai Guo , Tianbao Yang

Motivated by the increasing need to understand the algorithmic foundations of distributed large-scale graph computations, we study a number of fundamental graph problems in a message-passing model for distributed computing where $k \geq 2$…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-07 Gopal Pandurangan , Peter Robinson , Michele Scquizzato

We consider the problem of evaluating the cumulative distribution function (CDF) of the sum of order statistics, which serves to compute outage probability (OP) values at the output of generalized selection combining receivers. Generally,…

Computation · Statistics 2017-11-15 Nadhir Ben Rached , Zdravko Botev , Abla Kammoun , Mohamed-Slim Alouini , Raul Tempone

We show that almost all known lower bound methods for communication complexity are also lower bounds for the information complexity. In particular, we define a relaxed version of the partition bound of Jain and Klauck and prove that it…

Computational Complexity · Computer Science 2013-01-21 Iordanis Kerenidis , Sophie Laplante , Virginie Lerays , Jérémie Roland , David Xiao

This paper investigates distributed resource allocation optimization over directed graphs with limited communication bandwidth. We develop a novel distributed algorithm that integrates the centralized Proximal Jacobian Alternating Direction…

Optimization and Control · Mathematics 2026-04-17 Xu Du , Boyu Han , Ivano Notarnicola , Karl H. Johansson , Apostolos I. Rikos

Federated learning effectively addresses issues such as data privacy by collaborating across participating devices to train global models. However, factors such as network topology and device computing power can affect its training or…

Machine Learning · Computer Science 2023-11-29 Yizhuo Cai , Bo Lei , Qianying Zhao , Jing Peng , Min Wei , Yushun Zhang , Xing Zhang

Inspired by regularization techniques in statistics and machine learning, we study complementary composite minimization in the stochastic setting. This problem corresponds to the minimization of the sum of a (weakly) smooth function endowed…

Machine Learning · Computer Science 2024-01-24 Alexandre d'Aspremont , Cristóbal Guzmán , Clément Lezane
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