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We consider the problem of differentially private stochastic convex optimization (DP-SCO) in a distributed setting with $M$ clients, where each of them has a local dataset of $N$ i.i.d. data samples from an underlying data distribution. The…

Machine Learning · Computer Science 2025-01-07 Sudeep Salgia , Nikola Pavlovic , Yuejie Chi , Qing Zhao

Federated learning (FL) has emerged as a widely adopted training paradigm for privacy-preserving machine learning. While the SGD-based FL algorithms have demonstrated considerable success in the past, there is a growing trend towards…

Machine Learning · Computer Science 2024-07-29 Yujia Wang , Shiqiang Wang , Songtao Lu , Jinghui Chen

This paper focuses on stochastic proximal gradient methods for optimizing a smooth non-convex loss function with a non-smooth non-convex regularizer and convex constraints. To the best of our knowledge we present the first non-asymptotic…

Optimization and Control · Mathematics 2019-05-27 Michael R. Metel , Akiko Takeda

We consider stochastic convex optimization problems with affine constraints and develop several methods using either primal or dual approach to solve it. In the primal case, we use a special penalization technique to make the initial…

Optimization and Control · Mathematics 2020-11-13 Eduard Gorbunov , Darina Dvinskikh , Alexander Gasnikov

In this paper, we study federated optimization for solving stochastic variational inequalities (VIs), a problem that has attracted growing attention in recent years. Despite substantial progress, a significant gap remains between existing…

Machine Learning · Computer Science 2026-02-11 Guanghui Wang , Satyen Kale

Federated Learning (FL) enables clients to collaboratively train machine learning models without sharing local data, preserving privacy in diverse environments. While traditional FL approaches preserve privacy, they often struggle with high…

Machine Learning · Computer Science 2025-02-03 Nan Li , Xiaolu Wang , Xiao Du , Puyu Cai , Ting Wang

We study unconstrained optimization problems with nonsmooth and convex objective function in the form of a mathematical expectation. The proposed method approximates the expected objective function with a sample average function using…

Optimization and Control · Mathematics 2022-11-03 Natasa Krejic , Natasa Krklec Jerinkic , Tijana Ostojic

Typically, the sequence of points generated by an optimization algorithm may have multiple limit points. Under convexity assumptions, however, (sub)gradient methods are known to generate a convergent sequence of points. In this paper, we…

Optimization and Control · Mathematics 2025-06-16 Andrea Cristofari

Spatial data are central to applications such as environmental monitoring and urban planning, but are often distributed across devices where privacy and communication constraints limit direct sharing. Federated modeling offers a practical…

Methodology · Statistics 2025-10-03 Jianwei Shi , Sameh Abdulah , Ying Sun , Marc G. Genton

This paper proposes a locally differentially private federated learning algorithm for strongly convex but possibly nonsmooth problems that protects the gradients of each worker against an honest but curious server. The proposed algorithm…

Machine Learning · Computer Science 2023-08-03 Jiaojiao Zhang , Dominik Fay , Mikael Johansson

In the era of big data, leveraging information from multiple clients while preserving data privacy has emerged as a critical challenge in modern statistical modeling and forecasting. This paper introduces a privacy-preserving federated…

Methodology · Statistics 2026-04-09 Kejun Chen , Qianqian Zhu

Many optimization problems arising in high-dimensional statistics decompose naturally into a sum of several terms, where the individual terms are relatively simple but the composite objective function can only be optimized with iterative…

Optimization and Control · Mathematics 2016-06-30 Rina Foygel Barber , Emil Y. Sidky

Composite federated learning offers a general framework for solving machine learning problems with additional regularization terms. However, existing methods often face significant limitations: many require clients to perform…

Machine Learning · Computer Science 2025-12-12 Yuan Zhou , Jiachen Zhong , Xinli Shi , Guanghui Wen , Xinghuo Yu

In this paper, a novel secure and private over-the-air federated learning (SP-OTA-FL) framework is studied where noise is employed to protect data privacy and system security. Specifically, the privacy leakage of user data and the security…

Signal Processing · Electrical Eng. & Systems 2022-10-17 Na Yan , Kezhi Wang , Kangda Zhi , Cunhua Pan , Kok Keong Chai , H. Vincent Poor

Federated Learning (FL) is a distributed learning paradigm where clients collaboratively train a model while keeping their own data private. With an increasing scale of clients and models, FL encounters two key challenges, client drift due…

Machine Learning · Computer Science 2025-01-20 Jianhui Sun , Xidong Wu , Heng Huang , Aidong Zhang

We consider the problem of asynchronous stochastic optimization, where an optimization algorithm makes updates based on stale stochastic gradients of the objective that are subject to an arbitrary (possibly adversarial) sequence of delays.…

Optimization and Control · Mathematics 2025-06-23 Amit Attia , Ofir Gaash , Tomer Koren

We present a stochastic optimization method that uses a fourth-order regularized model to find local minima of smooth and potentially non-convex objective functions with a finite-sum structure. This algorithm uses sub-sampled derivatives…

Optimization and Control · Mathematics 2023-07-18 Aurelien Lucchi , Jonas Kohler

We address a large-scale and nonconvex optimization problem, involving an aggregative term. This term can be interpreted as the sum of the contributions of N agents to some common good, with N large. We investigate a relaxation of this…

Optimization and Control · Mathematics 2023-06-19 J. Frédéric Bonnans , Kang Liu , Nadia Oudjane , Laurent Pfeiffer , Cheng Wan

We study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable functions, while the other function is proper, lower…

Optimization and Control · Mathematics 2023-05-12 Duy-Nhat Phan , Sedi Bartz , Nilabja Guha , Hung M. Phan

We propose new techniques for reducing communication in private federated learning without the need for setting or tuning compression rates. Our on-the-fly methods automatically adjust the compression rate based on the error induced during…

Machine Learning · Computer Science 2023-07-21 Enayat Ullah , Christopher A. Choquette-Choo , Peter Kairouz , Sewoong Oh
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