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We solve large-scale mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This is motivated by the MILPs being able to model problems in multi-agent autonomy, e.g., task assignment problems and…

最优化与控制 · 数学 2022-11-23 Luke Fina , Matthew Hale

Communication is one of the bottlenecks of distributed optimisation and learning. To overcome this bottleneck, we propose a novel quantization method that transforms a vector into a sample of components' indices drawn from a categorical…

最优化与控制 · 数学 2025-01-31 Dmitrii Pasechniuk , Pavel Dvurechensky , César A. Uribe , Alexander Gasnikov

We consider information-theoretic bounds on expected generalization error for statistical learning problems in a networked setting. In this setting, there are $K$ nodes, each with its own independent dataset, and the models from each node…

信息论 · 计算机科学 2024-01-17 L. P. Barnes , Alex Dytso , H. V. Poor

Distributed Principal Component Analysis (PCA) has been studied to deal with the case when data are stored across multiple machines and communication cost or privacy concerns prohibit the computation of PCA in a central location. However,…

统计计算 · 统计学 2022-05-02 Yong He , Zichen Liu , Yalin Wang

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…

最优化与控制 · 数学 2017-12-12 Amrit Singh Bedi , Alec Koppel , Ketan Rajawat

We develop a novel unified randomized block-coordinate primal-dual algorithm to solve a class of nonsmooth constrained convex optimization problems, which covers different existing variants and model settings from the literature. We prove…

最优化与控制 · 数学 2021-10-29 Quoc Tran-Dinh , Deyi Liu

We study problem-dependent rates, i.e., generalization errors that scale near-optimally with the variance, the effective loss, or the gradient norms evaluated at the "best hypothesis." We introduce a principled framework dubbed "uniform…

机器学习 · 统计学 2020-12-25 Yunbei Xu , Assaf Zeevi

In this paper, we consider the problem of distributed optimisation of a separable convex cost function over a graph, where every edge and node in the graph could carry both linear equality and/or inequality constraints. We show how to…

分布式、并行与集群计算 · 计算机科学 2024-02-20 Richard Heusdens , Guoqiang Zhang

Distributed learning provides an attractive framework for scaling the learning task by sharing the computational load over multiple nodes in a network. Here, we investigate the performance of distributed learning for large-scale linear…

机器学习 · 统计学 2021-11-03 Martin Hellkvist , Ayça Özçelikkale , Anders Ahlén

In this two-part paper, we propose a general algorithmic framework for the minimization of a nonconvex smooth function subject to nonconvex smooth constraints. The algorithm solves a sequence of (separable) strongly convex problems and…

多智能体系统 · 计算机科学 2016-01-18 Gesualdo Scutari , Francisco Facchinei , Lorenzo Lampariello , Peiran Song

In this paper, we propose a unified primal-dual algorithm framework based on the augmented Lagrangian function for composite convex problems with conic inequality constraints. The new framework is highly versatile. First, it not only covers…

最优化与控制 · 数学 2022-08-31 Zhenyuan Zhu , Fan Chen , Junyu Zhang , Zaiwen Wen

In this paper, we are concerned with the generalization performance of non-parametric estimation for pairwise learning. Most of the existing work requires the hypothesis space to be convex or a VC-class, and the loss to be convex. However,…

机器学习 · 统计学 2026-02-12 Junyu Zhou , Shuo Huang , Han Feng , Puyu Wang , Ding-Xuan Zhou

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…

最优化与控制 · 数学 2018-01-22 Soomin Lee , Michael M. Zavlanos

We propose a decentralized learning algorithm over a general social network. The algorithm leaves the training data distributed on the mobile devices while utilizing a peer to peer model aggregation method. The proposed algorithm allows…

机器学习 · 统计学 2019-05-28 Anusha Lalitha , Xinghan Wang , Osman Kilinc , Yongxi Lu , Tara Javidi , Farinaz Koushanfar

We study distributed composite optimization over networks: agents minimize a sum of smooth (strongly) convex functions, the agents' sum-utility, plus a nonsmooth (extended-valued) convex one. We propose a general unified algorithmic…

最优化与控制 · 数学 2021-08-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

We propose a communication- and computation-efficient distributed optimization algorithm using second-order information for solving empirical risk minimization (ERM) problems with a nonsmooth regularization term. Our algorithm is applicable…

机器学习 · 计算机科学 2019-12-16 Ching-pei Lee , Cong Han Lim , Stephen J. Wright

We study the problem of decentralized constrained POMDPs in a team-setting where the multiple non-strategic agents have asymmetric information. Strong duality is established for the setting of infinite-horizon expected total discounted…

最优化与控制 · 数学 2023-08-01 Nouman Khan , Vijay Subramanian

We study the problem of decentralized interferometric imaging over networks, where agents have access to a subset of local radar measurements and can compute pair-wise correlations with their neighbors. We propose a primal-dual distributed…

最优化与控制 · 数学 2022-06-09 Sean M. Farrell , Ashok Veeraraghavan , Ashutosh Sabharwal , César A. Uribe

We consider some supervised binary classification tasks and a regression task, whereas SVM and Deep Learning, at present, exhibit the best generalization performances. We extend the work [3] on a generalized quadratic loss for learning…

机器学习 · 计算机科学 2021-02-16 Filippo Portera

Motivated by decentralized sensing and policy evaluation problems, we consider a particular type of distributed stochastic optimization problem over a network, called the online stochastic distributed averaging problem. We design a…

最优化与控制 · 数学 2022-08-10 Sheng Zhang , Ashwin Pananjady , Justin Romberg