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In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

Optimization and Control · Mathematics 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

The concept of differential privacy (DP) can quantitatively measure privacy loss by observing the changes in the distribution caused by the inclusion of individuals in the target dataset. The DP, which is generally used as a constraint, has…

Cryptography and Security · Computer Science 2025-07-16 Sehyun Ryu , Jonggyu Jang , Hyun Jong Yang

Machine learning models are increasingly used in high-stakes decision-making systems. In such applications, a major concern is that these models sometimes discriminate against certain demographic groups such as individuals with certain…

Machine Learning · Computer Science 2023-06-06 Andrew Lowy , Devansh Gupta , Meisam Razaviyayn

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

Optimization and Control · Mathematics 2020-07-15 Jineng Ren , Jarvis Haupt

In this work, we focus on solving a decentralized consensus problem in a private manner. Specifically, we consider a setting in which a group of nodes, connected through a network, aim at computing the mean of their local values without…

Multiagent Systems · Computer Science 2022-02-22 Mohammad Fereydounian , Aryan Mokhtari , Ramtin Pedarsani , Hamed Hassani

Decentralized optimization is typically studied under the assumption of noise-free transmission. However, real-world scenarios often involve the presence of noise due to factors such as additive white Gaussian noise channels or…

Optimization and Control · Mathematics 2023-07-28 Suhail M. Shah , Raghu Bollapragada

The paper considers distributed stochastic optimization over randomly switching networks, where agents collaboratively minimize the average of all agents' local expectation-valued convex cost functions. Due to the stochasticity in gradient…

Optimization and Control · Mathematics 2022-04-07 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

A deterministic privacy metric using non-stochastic information theory is developed. Particularly, minimax information is used to construct a measure of information leakage, which is inversely proportional to the measure of privacy. Anyone…

Information Theory · Computer Science 2019-03-07 Farhad Farokhi

We consider the problem of communication-constrained collaborative personalized mean estimation under a privacy constraint in an environment of several agents continuously receiving data according to arbitrary unknown agent-specific…

Social and Information Networks · Computer Science 2025-11-10 Yauhen Yakimenka , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

Bilevel optimization, in which one optimization problem is nested inside another, underlies many machine learning applications with a hierarchical structure -- such as meta-learning and hyperparameter optimization. Such applications often…

Machine Learning · Computer Science 2025-11-10 Andrew Lowy , Daogao Liu

Modern machine learning algorithms aim to extract fine-grained information from data to provide accurate predictions, which often conflicts with the goal of privacy protection. This paper addresses the practical and theoretical importance…

Machine Learning · Statistics 2023-07-17 Puyu Wang , Yunwen Lei , Yiming Ying , Ding-Xuan Zhou

Achieving communication efficiency in decentralized machine learning has been attracting significant attention, with communication compression recognized as an effective technique in algorithm design. This paper takes a first step to…

Machine Learning · Computer Science 2023-05-18 Boyue Li , Yuejie Chi

This paper studies the stochastic distributed nonconvex optimization problem over a network of agents, where agents only access stochastic zeroth-order information about their local cost functions and collaboratively optimize the global…

Optimization and Control · Mathematics 2025-09-01 Haonan Wang , Xinlei Yi , Yiguang Hong

We present a new class of decentralized first-order methods for nonsmooth and stochastic optimization problems defined over multiagent networks. Considering that communication is a major bottleneck in decentralized optimization, our main…

Optimization and Control · Mathematics 2017-02-07 Guanghui Lan , Soomin Lee , Yi Zhou

In this work, we study decentralized stochastic nonconvex Polyak--{\L}ojasiewicz minimax problems and propose a communication-efficient algorithm. Motivated by the efficiency of local SGD in federated learning, we investigate decentralized…

Optimization and Control · Mathematics 2026-05-26 Haoyuan Cai , Sulaiman A. Alghunaim , Ali H. Sayed

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…

Information Theory · Computer Science 2019-10-23 Naeimeh Omidvar , An Liu , Vincent Lau , Danny H. K. Tsang , Mohammad Reza Pakravan

This paper studies the problem of multi-agent computation under the differential privacy requirement of the agents' local datasets against eavesdroppers having node-to-node communications. We first propose for the network equipped with…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-06 Lei Wang , Yang Liu , Ian Manchester , Guodong Shi

Privacy preservation is becoming an increasingly important issue in data mining and machine learning. In this paper, we consider the privacy preserving features of distributed subgradient optimization algorithms. We first show that a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-12-31 Youcheng Lou , Lean Yu , Shouyang Wang

This paper proposes a novel class of distributed continuous-time coordination algorithms to solve network optimization problems whose cost function is a sum of local cost functions associated to the individual agents. We establish the…

Optimization and Control · Mathematics 2014-08-25 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

We establish the O($\frac{1}{k}$) convergence rate for distributed stochastic gradient methods that operate over strongly convex costs and random networks. The considered class of methods is standard each node performs a weighted average of…

Optimization and Control · Mathematics 2018-03-22 Dusan Jakovetic , Dragana Bajovic , Anit Kumar Sahu , Soummya Kar
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