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We consider expected risk minimization in multi-agent systems comprised of distinct subsets of agents operating without a common time-scale. Each individual in the network is charged with minimizing the global objective function, which is…

Optimization and Control · Mathematics 2017-12-12 Amrit Singh Bedi , Alec Koppel , Ketan Rajawat

This work presents an algorithm to sample from the Wasserstein barycenter of absolutely continuous measures. Our method is based on the gradient flow of the multimarginal formulation of the Wasserstein barycenter, with an additive…

Machine Learning · Computer Science 2021-05-06 Chiheb Daaloul , Thibaut Le Gouic , Jacques Liandrat , Magali Tournus

In many applications in statistics and machine learning, the availability of data samples from multiple possibly heterogeneous sources has become increasingly prevalent. On the other hand, in distributionally robust optimization, we seek…

Machine Learning · Statistics 2022-05-31 Tim Tsz-Kit Lau , Han Liu

This work proposes and studies the distributed resource allocation problem in asynchronous and stochastic settings. We consider a distributed system with multiple workers and a coordinating server with heterogeneous computation and…

Optimization and Control · Mathematics 2025-09-03 Qiang Li , Michal Yemini , Hoi-To Wai

Asynchronous distributed algorithms are a popular way to reduce synchronization costs in large-scale optimization, and in particular for neural network training. However, for nonsmooth and nonconvex objectives, few convergence guarantees…

Optimization and Control · Mathematics 2020-07-14 Vyacheslav Kungurtsev , Malcolm Egan , Bapi Chatterjee , Dan Alistarh

We study decentralized multi-agent learning in bipartite queueing systems, a standard model for service systems. In particular, N agents request service from K servers in a fully decentralized way, i.e, by running the same algorithm without…

Machine Learning · Computer Science 2023-08-08 Daniel Freund , Thodoris Lykouris , Wentao Weng

In this letter, we first propose a \underline{Z}eroth-\underline{O}rder c\underline{O}ordinate \underline{M}ethod~(ZOOM) to solve the stochastic optimization problem over a decentralized network with only zeroth-order~(ZO) oracle feedback…

Optimization and Control · Mathematics 2022-10-11 Shengjun Zhang , Tan Shen , Hongwei Sun , Yunlong Dong , Dong Xie , Heng Zhang

In this work, we study decentralized convex constrained optimization problems in networks. We focus on the dual averaging-based algorithmic framework that is well-documented to be superior in handling constraints and complex communication…

Optimization and Control · Mathematics 2022-08-16 Changxin Liu , Yang Shi , Huiping Li , Wenli Du

With the increasing demand for large-scale training of machine learning models, fully decentralized optimization methods have recently been advocated as alternatives to the popular parameter server framework. In this paradigm, each worker…

Machine Learning · Computer Science 2024-07-10 Guojun Xiong , Gang Yan , Shiqiang Wang , Jian Li

This paper develops distributed synchronous and asynchronous algorithms for the large-scale semi-definite programming with diagonal constraints, which has wide applications in combination optimization, image processing and community…

Optimization and Control · Mathematics 2021-04-02 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

Optimal transport is a foundational problem in optimization, that allows to compare probability distributions while taking into account geometric aspects. Its optimal objective value, the Wasserstein distance, provides an important loss…

Machine Learning · Computer Science 2020-02-21 Marin Ballu , Quentin Berthet , Francis Bach

In this work, the novel Distributed Bayesian (D-Bay) algorithm is presented for solving multi-agent problems within the continuous Distributed Constraint Optimization Problem (DCOP) framework. This framework extends the classical DCOP…

Optimization and Control · Mathematics 2020-02-11 Jeroen Fransman , Joris Sijs , Henry Dol , Erik Theunissen , Bart De Schutter

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

Machine Learning · Statistics 2017-06-14 Nhat Ho , XuanLong Nguyen , Mikhail Yurochkin , Hung Hai Bui , Viet Huynh , Dinh Phung

This paper proposes a novel exact distributed asynchronous subgradient-push algorithm (AsySPA) to solve an additive cost optimization problem over directed graphs where each node only has access to a local convex function and updates…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-02 Jiaqi Zhang , Keyou You

In this paper, we focus on the analysis of the regularized Wasserstein barycenter problem. We provide uniqueness and a characterization of the barycenter for two important classes of probability measures: (i) Gaussian distributions and (ii)…

Optimization and Control · Mathematics 2022-08-09 S. Kum , M. H. Duong , Y. Lim , S. Yun

In this paper, we address a fundamental limitation of the classical Wasserstein barycenter -- its sensitivity to outliers and its reliance on finite first/second moment assumptions. To overcome these issues, we propose the robust…

Methodology · Statistics 2026-03-10 Zixiong Cheng , Hang Liu

We present a framework to simultaneously align and smooth data in the form of multiple point clouds sampled from unknown densities with support in a d-dimensional Euclidean space. This work is motivated by applications in bioinformatics…

Methodology · Statistics 2019-08-28 Jérémie Bigot , Elsa Cazelles , Nicolas Papadakis

Memory-Bounded Dynamic Programming (MBDP) has proved extremely effective in solving decentralized POMDPs with large horizons. We generalize the algorithm and improve its scalability by reducing the complexity with respect to the number of…

Artificial Intelligence · Computer Science 2012-06-26 Sven Seuken , Shlomo Zilberstein

World models are essential for autonomous robotic planning. However, the substantial computational overhead of existing dense Transformerbased models significantly hinders real-time deployment. To address this efficiency-performance…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Shicheng Yin , Kaixuan Yin , Weixing Chen , Yang Liu , Guanbin Li , Liang Lin

In this paper, we analyze the convergence as well as the rate of convergence of asynchronous distributed quadratic programming (QP) with dual decomposition technique. In general, distributed optimization requires synchronization of data at…

Optimization and Control · Mathematics 2015-06-22 Kooktae Lee , Raktim Bhattacharya
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