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In order to mitigate the high communication cost in distributed and federated learning, various vector compression schemes, such as quantization, sparsification and dithering, have become very popular. In designing a compression method, one…

Machine Learning · Computer Science 2021-05-04 Mher Safaryan , Egor Shulgin , Peter Richtárik

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

Federated learning can train models without directly providing local data to the server. However, the frequent updating of the local model brings the problem of large communication overhead. Recently, scholars have achieved the…

Machine Learning · Computer Science 2024-05-07 Ying Zhuansun , Dandan Li , Xiaohong Huang , Caijun Sun

We examine fundamental tradeoffs in iterative distributed zeroth and first order stochastic optimization in multi-agent networks in terms of \emph{communication cost} (number of per-node transmissions) and \emph{computational cost},…

Optimization and Control · Mathematics 2018-09-11 Anit Kumar Sahu , Dusan Jakovetic , Dragana Bajovic , Soummya Kar

Multiple local steps are key to communication-efficient federated learning. However, theoretical guarantees for such algorithms, without data heterogeneity-bounding assumptions, have been lacking in general non-smooth convex problems.…

Machine Learning · Computer Science 2025-03-28 Karlo Palenzuela , Ali Dadras , Alp Yurtsever , Tommy Löfstedt

We propose two new alternating direction methods to solve "fully" nonsmooth constrained convex problems. Our algorithms have the best known worst-case iteration-complexity guarantee under mild assumptions for both the objective residual and…

Optimization and Control · Mathematics 2018-01-16 Quoc Tran-Dinh , Volkan Cevher

In distributed machine learning, efficient training across multiple agents with different data distributions poses significant challenges. Even with a centralized coordinator, current algorithms that achieve optimal communication complexity…

Machine Learning · Computer Science 2024-08-13 Junchi Yang , Murat Yildirim , Qiu Feng

We consider a class of multi-agent cooperative consensus optimization problems with local nonlinear convex constraints where only those agents connected by an edge can directly communicate, hence, the optimal consensus decision lies in the…

Optimization and Control · Mathematics 2023-02-23 Nazanin Abolfazli , Afrooz Jalilzadeh , Erfan Yazdandoost Hamedani

Compression techniques are essential in distributed optimization and learning algorithms with high-dimensional model parameters, particularly in scenarios with tight communication constraints such as limited bandwidth. This article presents…

Optimization and Control · Mathematics 2025-10-27 Souvik Das , Subhrakanti Dey

Federated learning has emerged in the last decade as a distributed optimization paradigm due to the rapidly increasing number of portable devices able to support the heavy computational needs related to the training of machine learning…

Machine Learning · Computer Science 2024-10-10 Emanuel Buttaci , Giuseppe Carlo Calafiore

Distributed adaptive stochastic gradient methods have been widely used for large-scale nonconvex optimization, such as training deep learning models. However, their communication complexity on finding $\varepsilon$-stationary points has…

Machine Learning · Computer Science 2023-08-25 Congliang Chen , Li Shen , Wei Liu , Zhi-Quan Luo

Motivated by emerging applications in wireless sensor networks and large-scale data processing, we consider distributed optimization over directed networks where the agents communicate their information locally to their neighbors to…

Optimization and Control · Mathematics 2021-03-22 Farzad Yousefian

Distributed stochastic non-convex optimization problems have recently received attention due to the growing interest of signal processing, computer vision, and natural language processing communities in applications deployed over…

Systems and Control · Electrical Eng. & Systems 2024-10-14 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

Communicating information, like gradient vectors, between computing nodes in distributed and federated learning is typically an unavoidable burden, resulting in scalability issues. Indeed, communication might be slow and costly. Recent…

Machine Learning · Computer Science 2020-10-08 Alyazeed Albasyoni , Mher Safaryan , Laurent Condat , Peter Richtárik

Distributed optimization finds applications in large-scale machine learning, data processing and classification over multi-agent networks. In real-world scenarios, the communication network of agents may encounter latency that may affect…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Mohammadreza Doostmohammadian , Narahari Kasagatta Ramesh , Alireza Aghasi

We consider a many-to-one wireless architecture for federated learning at the network edge, where multiple edge devices collaboratively train a model using local data. The unreliable nature of wireless connectivity, together with…

Networking and Internet Architecture · Computer Science 2021-02-17 Junshan Zhang , Na Li , Mehmet Dedeoglu

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 propose a distributed accelerated primal-dual method with backtracking (D-APDB) for cooperative multi-agent constrained consensus optimization problems over an undirected network of agents, where only those agents connected by an edge…

Optimization and Control · Mathematics 2026-03-06 Qiushui Xu , Necdet Serhat Aybat , Mert Gürbüzbalaban

Federated Learning (FL) is a communication-efficient and privacy-preserving distributed machine learning framework that has gained a significant amount of research attention recently. Despite the different forms of FL algorithms (e.g.,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-16 Jieming Bian , Cong Shen , Jie Xu

Bidirectional privacy-preservation federated learning is crucial as both local gradients and the global model may leak privacy. However, only a few works attempt to achieve it, and they often face challenges such as excessive communication…

Machine Learning · Computer Science 2024-12-17 Xue Yang , Depan Peng , Yan Feng , Xiaohu Tang , Weijun Fang , Jun Shao