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We propose a new distributed optimization algorithm for solving a class of constrained optimization problems in which (a) the objective function is separable (i.e., the sum of local objective functions of agents), (b) the optimization…

Optimization and Control · Mathematics 2021-06-16 Van Sy Mai , Richard J. La , Tao Zhang , Abdella Battou

This paper considers privacy-concerned distributed constraint-coupled resource allocation problems over an undirected network, where each agent holds a private cost function and obtains the solution via only local communication. With…

Optimization and Control · Mathematics 2025-06-05 Wenwen Wu , Shanying Zhu , Shuai Liu , Xinping Guan

We consider distributed convex optimization problems that involve a separable objective function and nontrivial functional constraints, such as Linear Matrix Inequalities (LMIs). We propose a decentralized and computationally inexpensive…

Optimization and Control · Mathematics 2018-01-22 Soomin Lee , Michael M. Zavlanos

Modern statistical estimation is often performed in a distributed setting where each sample belongs to a single user who shares their data with a central server. Users are typically concerned with preserving the privacy of their samples,…

Machine Learning · Computer Science 2023-05-16 Gecia Bravo-Hermsdorff , Róbert Busa-Fekete , Mohammad Ghavamzadeh , Andres Muñoz Medina , Umar Syed

A problem of distributed state estimation at multiple agents that are physically connected and have competitive interests is mapped to a distributed source coding problem with additional privacy constraints. The agents interact to estimate…

Information Theory · Computer Science 2012-07-10 Lalitha Sankar , H. Vincent Poor

Differential privacy is a cryptographically-motivated definition of privacy which has gained significant attention over the past few years. Differentially private solutions enforce privacy by adding random noise to a function computed over…

Machine Learning · Computer Science 2012-07-03 Kamalika Chaudhuri , Daniel Hsu

We study distributed estimation of a Gaussian mean under communication constraints in a decision theoretical framework. Minimax rates of convergence, which characterize the tradeoff between the communication costs and statistical accuracy,…

Statistics Theory · Mathematics 2020-02-11 T. Tony Cai , Hongji Wei

This paper studies federated learning for nonparametric regression in the context of distributed samples across different servers, each adhering to distinct differential privacy constraints. The setting we consider is heterogeneous,…

Statistics Theory · Mathematics 2024-06-12 T. Tony Cai , Abhinav Chakraborty , Lasse Vuursteen

We develop lower bounds for estimation under local privacy constraints---including differential privacy and its relaxations to approximate or R\'{e}nyi differential privacy---by showing an equivalence between private estimation and…

Statistics Theory · Mathematics 2019-05-07 John Duchi , Ryan Rogers

We consider a cooperative multi-agent system consisting of a team of agents with decentralized information. Our focus is on the design of symmetric (i.e. identical) strategies for the agents in order to optimize a finite horizon team…

Optimization and Control · Mathematics 2023-07-17 Sagar Sudhakara , Ashutosh Nayyar

This paper studies the decentralized optimization and learning problem where multiple interconnected agents aim to learn an optimal decision function defined over a reproducing kernel Hilbert space by jointly minimizing a global objective…

Machine Learning · Computer Science 2021-07-01 Ping Xu , Yue Wang , Xiang Chen , Zhi Tian

We address differential privacy for fully distributed optimization subject to a shared inequality constraint. By co-designing the distributed optimization mechanism and the differential-privacy noise injection mechanism, we propose the…

Optimization and Control · Mathematics 2024-04-04 Yongqiang Wang , Angelia Nedic

We propose decentralized primal-dual methods for cooperative multi-agent consensus optimization problems over both static and time-varying communication networks, where only local communications are allowed. The objective is to minimize the…

Optimization and Control · Mathematics 2022-02-23 Erfan Yazdandoost Hamedani , Necdet Serhat Aybat

Decentralized learning is an efficient emerging paradigm for boosting the computing capability of multiple bounded computing agents. In the big data era, performing inference within the distributed and federated learning (DL and FL)…

Multiagent Systems · Computer Science 2022-05-11 Mohamed Ridha Znaidi , Gaurav Gupta , Paul Bogdan

We study distributed algorithms for solving global optimization problems in which the objective function is the sum of local objective functions of agents and the constraint set is given by the intersection of local constraint sets of…

Optimization and Control · Mathematics 2015-03-14 Ilan Lobel , Asuman Ozdaglar , Diego Feijer

In this paper we study the distributed average consensus problem in multi-agent systems with directed communication links that are subject to quantized information flow. Specifically, we present and analyze a distributed averaging algorithm…

Systems and Control · Electrical Eng. & Systems 2021-03-10 Apostolos I. Rikos , Christoforos N. Hadjicostis , Karl H. Johansson

The decentralized optimization paradigm assumes that each term of a finite-sum objective is privately stored by the corresponding agent. Agents are only allowed to communicate with their neighbors in the communication graph. We consider the…

Optimization and Control · Mathematics 2023-09-07 Demyan Yarmoshik , Alexander Rogozin , Alexander Gasnikov

Distributed online learning is gaining increased traction due to its unique ability to process large-scale datasets and streaming data. To address the growing public awareness and concern on privacy protection, plenty of algorithms have…

Machine Learning · Computer Science 2024-08-27 Ziqin Chen , Yongqiang Wang

We establish a simple connection between robust and differentially-private algorithms: private mechanisms which perform well with very high probability are automatically robust in the sense that they retain accuracy even if a constant…

Machine Learning · Statistics 2022-12-02 Kristian Georgiev , Samuel B. Hopkins

This paper studies distributed online convex optimization with time-varying coupled constraints, motivated by distributed online control in network systems. Most prior work assumes a separability condition: the global objective and coupled…

Optimization and Control · Mathematics 2026-02-18 Zhaoye Pan , Haozhe Lei , Fan Zuo , Zilin Bian , Tao Li
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