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We study distributed optimization in a cooperative multi-agent setting, where agents have to agree on the usage of shared resources and can communicate via a time-varying network to this purpose. Each agent has its own decision variables…

最优化与控制 · 数学 2017-04-20 Alessandro Falsone , Kostas Margellos , Simone Garatti , Maria Prandini

In this paper, we are interested in systems with multiple agents that wish to collaborate in order to accomplish a common task while a) agents have different information (decentralized information) and b) agents do not know the model of the…

最优化与控制 · 数学 2020-12-04 Jalal Arabneydi , Aditya Mahajan

Deep neural networks have shown the ability to extract universal feature representations from data such as images and text that have been useful for a variety of learning tasks. However, the fruits of representation learning have yet to be…

机器学习 · 计算机科学 2023-03-28 Liam Collins , Hamed Hassani , Aryan Mokhtari , Sanjay Shakkottai

We present a parallelized primal-dual algorithm for solving constrained convex optimization problems. The algorithm is "block-based," in that vectors of primal and dual variables are partitioned into blocks, each of which is updated only by…

最优化与控制 · 数学 2020-09-01 Katherine Hendrickson , Matthew Hale

Due to the rapid growth of data and computational resources, distributed optimization has become an active research area in recent years. While first-order methods seem to dominate the field, second-order methods are nevertheless attractive…

机器学习 · 计算机科学 2018-06-21 Celestine Dünner , Aurelien Lucchi , Matilde Gargiani , An Bian , Thomas Hofmann , Martin Jaggi

Regularized empirical risk minimization problem with linear predictor appears frequently in machine learning. In this paper, we propose a new stochastic primal-dual method to solve this class of problems. Different from existing methods,…

最优化与控制 · 数学 2018-11-06 Conghui Tan , Tong Zhang , Shiqian Ma , Ji Liu

Based on a preconditioned version of the randomized block-coordinate forward-backward algorithm recently proposed in [Combettes,Pesquet,2014], several variants of block-coordinate primal-dual algorithms are designed in order to solve a wide…

最优化与控制 · 数学 2014-10-28 Jean-Christophe Pesquet , Audrey Repetti

We consider decentralized optimization problems in which a number of agents collaborate to minimize the average of their local functions by exchanging over an underlying communication graph. Specifically, we place ourselves in an…

最优化与控制 · 数学 2023-03-20 Yu-Guan Hsieh , Yassine Laguel , Franck Iutzeler , Jérôme Malick

Policy evaluation is a crucial step in many reinforcement-learning procedures, which estimates a value function that predicts states' long-term value under a given policy. In this paper, we focus on policy evaluation with linear function…

机器学习 · 计算机科学 2017-06-12 Simon S. Du , Jianshu Chen , Lihong Li , Lin Xiao , Dengyong Zhou

In this work, we first consider distributed convex constrained optimization problems where the objective function is encoded by multiple local and possibly nonsmooth objectives privately held by a group of agents, and propose a distributed…

最优化与控制 · 数学 2020-02-20 Changxin Liu , Huiping Li , Yang Shi

We consider the consensual distributed optimization problem in the Riemannian context. Specifically, the minimization of a sum of functions form is studied where each individual function in the sum is located at the node of a network. An…

最优化与控制 · 数学 2020-09-08 Suhail M. Shah

We consider a distributed optimization problem over a network of agents aiming to minimize a global objective function that is the sum of local convex and composite cost functions. To this end, we propose a distributed Chebyshev-accelerated…

最优化与控制 · 数学 2018-10-17 Jacob H. Seidman , Mahyar Fazlyab , George J. Pappas , Victor M. Preciado

Conventional online multi-task learning algorithms suffer from two critical limitations: 1) Heavy communication caused by delivering high velocity of sequential data to a central machine; 2) Expensive runtime complexity for building task…

机器学习 · 统计学 2020-04-06 Peng Yang , Ping Li

In this paper, a decentralized proximal method of multipliers (DPMM) is proposed to solve constrained convex optimization problems over multi-agent networks, where the local objective of each agent is a general closed convex function, and…

最优化与控制 · 数学 2023-10-25 Kai Gong , Liwei Zhang

We consider a generic convex-concave saddle point problem with separable structure, a form that covers a wide-ranged machine learning applications. Under this problem structure, we follow the framework of primal-dual updates for saddle…

机器学习 · 统计学 2015-06-15 Zhanxing Zhu , Amos J. Storkey

While the techniques in optimal control theory are often model-based, the policy optimization (PO) approach directly optimizes the performance metric of interest. Even though it has been an essential approach for reinforcement learning…

最优化与控制 · 数学 2022-11-23 Feiran Zhao , Keyou You , Tamer Başar

This paper extends algorithms that remove the fixed point bias of decentralized gradient descent to solve the more general problem of distributed optimization over subspace constraints. Leveraging the integral quadratic constraint…

最优化与控制 · 数学 2022-10-31 Dennis J. Marquis , Dany Abou Jaoude , Mazen Farhood , Craig A. Woolsey

This work studies the distributed empirical risk minimization (ERM) problem under differential privacy (DP) constraint. Standard distributed algorithms achieve DP typically by perturbing all local subgradients with noise, leading to…

最优化与控制 · 数学 2023-07-04 Changxin Liu , Karl H. Johansson , Yang Shi

In this paper we propose a distributed version of a randomized block-coordinate descent method for minimizing the sum of a partially separable smooth convex function and a fully separable non-smooth convex function. Under the assumption of…

最优化与控制 · 数学 2015-11-23 Ion Necoara , Dragos Clipici

This paper studies distributed algorithms for the extended monotropic optimization problem, which is a general convex optimization problem with a certain separable structure. The considered objective function is the sum of local convex…

最优化与控制 · 数学 2016-08-04 Xianlin Zeng , Peng Yi , Yiguang Hong , Lihua Xie