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Decentralized optimization is crucial for multi-agent systems, with significant concerns about communication efficiency and privacy. This paper explores the role of efficient communication in decentralized stochastic gradient descent…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Wei Huo , Changxin Liu , Kemi Ding , Karl Henrik Johansson , Ling Shi

This paper considers a distributed stochastic strongly convex optimization, where agents connected over a network aim to cooperatively minimize the average of all agents' local cost functions. Due to the stochasticity of gradient estimation…

Optimization and Control · Mathematics 2020-02-17 Jinlong Lei , Peng Yi , Jie Chen , Yiguang Hong

When deploying a trained machine learning model in the real world, it is inevitable to receive inputs from out-of-distribution (OOD) sources. For instance, in continual learning settings, it is common to encounter OOD samples due to the…

Machine Learning · Computer Science 2024-01-23 Chuanwen Feng , Wenlong Chen , Ao Ke , Yilong Ren , Xike Xie , S. Kevin Zhou

In this paper, a class of large-scale distributed nonsmooth convex optimization problem over time-varying multi-agent network is investigated. Specifically, the decision space which can be split into several blocks of convex set is…

Optimization and Control · Mathematics 2024-10-18 Zhan Yu , Daniel W. C. Ho

In this paper, we study distributed stochastic optimization to minimize a sum of smooth and strongly-convex local cost functions over a network of agents, communicating over a strongly-connected graph. Assuming that each agent has access to…

Machine Learning · Computer Science 2019-04-11 Ran Xin , Anit Kumar Sahu , Usman A. Khan , Soummya Kar

In this paper, we consider a distributed constrained optimization problem with delayed subgradient information over the time-varying communication network, where each agent can only communicate with its neighbors and the communication…

Optimization and Control · Mathematics 2021-06-16 Jie Liu , Zhan Yu , Daniel W. C. Ho

Optimal transport (OT) defines a powerful framework to compare probability distributions in a geometrically faithful way. However, the practical impact of OT is still limited because of its computational burden. We propose a new class of…

Optimization and Control · Mathematics 2016-05-30 Genevay Aude , Marco Cuturi , Gabriel Peyré , Francis Bach

The performance of distributing entanglement between two distant nodes in a large-scale quantum network (QN) of partially entangled bipartite pure states is generally benchmarked against the classical entanglement percolation (CEP) scheme.…

Quantum Physics · Physics 2023-06-05 Xiangyi Meng , Yulong Cui , Jianxi Gao , Shlomo Havlin , Andrei E. Ruckenstein

We propose a fundamental metric for measuring the distance between two distributions. This metric, referred to as the decision-focused (DF) divergence, is tailored to stochastic linear optimization problems in which the objective…

Statistics Theory · Mathematics 2026-02-04 Suhan Liu , Mo Liu

Wireless sensor networks are often modeled in terms of a dense deployment of smart sensor nodes in a two-dimensional region. Give a node deployment, the \emph{critical geometric graph (CGG)} over these locations (i.e., the connected…

Networking and Internet Architecture · Computer Science 2010-11-16 Srivathsa Acharya , Anurag Kumar , Vijay Dewangan , Navneet Sankara , Malati Hegde , S. V. R. Anand

We study the problem of robust distribution estimation under the Wasserstein distance, a popular discrepancy measure between probability distributions rooted in optimal transport (OT) theory. Given $n$ samples from an unknown distribution…

Machine Learning · Statistics 2024-09-25 Sloan Nietert , Rachel Cummings , Ziv Goldfeld

Although deep neural networks are well-known for their outstanding performance in tackling complex tasks, their hunger for computational resources remains a significant hurdle, posing energy-consumption issues and restricting their…

Machine Learning · Computer Science 2025-07-16 Victor Quétu , Zhu Liao , Nour Hezbri , Fabio Pizzati , Enzo Tartaglione

Coordination of distributed agents is required for problems arising in many areas, including multi-robot systems, networking and e-commerce. As a formal framework for such problems, we use the decentralized partially observable Markov…

Artificial Intelligence · Computer Science 2014-01-16 Daniel S. Bernstein , Christopher Amato , Eric A. Hansen , Shlomo Zilberstein

Decentralized planning for multi-agent systems, such as fleets of robots in a search-and-rescue operation, is often constrained by limitations on how agents can communicate with each other. One such limitation is the case when agents can…

Robotics · Computer Science 2022-09-15 Victoria Tuck , Yash Vardhan Pant , Sanjit A. Seshia , S. Shankar Sastry

Distributed optimization is widely used in large-scale and privacy-preserving machine learning, where each agent stores a local objective and communicates only with its neighbors in a connected network. We study decentralized second-order…

We study distributed methods for online prediction and stochastic optimization. Our approach is iterative: in each round nodes first perform local computations and then communicate in order to aggregate information and synchronize their…

Information Theory · Computer Science 2014-03-06 Konstantinos I. Tsianos , Michael G. Rabbat

In this paper we propose and analyze a distributed algorithm for achieving globally optimal decisions, either estimation or detection, through a self-synchronization mechanism among linearly coupled integrators initialized with local…

Multiagent Systems · Computer Science 2009-11-13 Gesualdo Scutari , Sergio Barbarossa , Loreto Pescosolido

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Diffusion Models (DMs) have achieved remarkable progress in generative modeling. However, the mismatch between the forward terminal distribution and reverse initial distribution introduces prior error, leading to deviations of sampling…

Machine Learning · Computer Science 2026-02-06 Zhanpeng Wang , Shenghao Li , Jiameng Che , Chen Wang , Shangling Jui , Na Lei , Zhongxuan Luo

Optimal transport distances (OT) have been widely used in recent work in Machine Learning as ways to compare probability distributions. These are costly to compute when the data lives in high dimension. Recent work by Paty et al., 2019,…

Machine Learning · Computer Science 2021-11-10 Patric M. Fulop , Vincent Danos