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This paper proposes a novel family of primal-dual-based distributed algorithms for smooth, convex, multi-agent optimization over networks that uses only gradient information and gossip communications. The algorithms can also employ…

最优化与控制 · 数学 2020-03-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

We study dual-based algorithms for distributed convex optimization problems over networks, where the objective is to minimize a sum $\sum_{i=1}^{m}f_i(z)$ of functions over in a network. We provide complexity bounds for four different…

最优化与控制 · 数学 2020-03-17 César A. Uribe , Soomin Lee , Alexander Gasnikov , Angelia Nedić

This paper studies a distributed online constrained optimization problem over time-varying unbalanced digraphs without explicit subgradients. In sharp contrast to the existing algorithms, we design a novel consensus-based distributed online…

最优化与控制 · 数学 2022-08-26 Yongyang Xiong , Xiang Li , Keyou You , Ligang Wu

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

系统与控制 · 电气工程与系统科学 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

This papers studies multi-agent (convex and \emph{nonconvex}) optimization over static digraphs. We propose a general distributed \emph{asynchronous} algorithmic framework whereby i) agents can update their local variables as well as…

最优化与控制 · 数学 2019-09-12 Ye Tian , Ying Sun , Gesualdo Scutari

Adaptive networks are suitable for decentralized inference tasks, e.g., to monitor complex natural phenomena. Recent research works have intensively studied distributed optimization problems in the case where the nodes have to estimate a…

多智能体系统 · 计算机科学 2023-07-19 Jie Chen , Cédric Richard , Ali. H. Sayed

Feedback optimization is an increasingly popular control paradigm to optimize dynamical systems, accounting for control objectives that concern the system operation at steady-state. Existing feedback optimization techniques heavily rely on…

最优化与控制 · 数学 2025-04-08 Amir Mehrnoosh , Gianluca Bianchin

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

Achieving global optimality in nonlinear model predictive control (NMPC) is challenging due to the non-convex nature of the underlying optimization problem. Since commonly employed local optimization techniques depend on carefully chosen…

系统与控制 · 电气工程与系统科学 2025-06-19 Tzu-Yuan Huang , Armin Lederer , Nicolas Hoischen , Jan Brüdigam , Xuehua Xiao , Stefan Sosnowski , Sandra Hirche

We propose a new variant of AMSGrad, a popular adaptive gradient based optimization algorithm widely used for training deep neural networks. Our algorithm adds prior knowledge about the sequence of consecutive mini-batch gradients and…

机器学习 · 统计学 2020-11-04 Jun-Kun Wang , Xiaoyun Li , Belhal Karimi , Ping Li

We consider the problem of tracking the minimum of a time-varying convex optimization problem over a dynamic graph. Motivated by target tracking and parameter estimation problems in intermittently connected robotic and sensor networks, the…

最优化与控制 · 数学 2019-05-20 Rishabh Dixit , Amrit Singh Bedi , Ketan Rajawat

We study the well-motivated problem of online distribution shift in which the data arrive in batches and the distribution of each batch can change arbitrarily over time. Since the shifts can be large or small, abrupt or gradual, the length…

机器学习 · 计算机科学 2025-04-11 Dheeraj Baby , Boran Han , Shuai Zhang , Cuixiong Hu , Yuyang Wang , Yu-Xiang Wang

We provide a unifying framework for distributed convex optimization over time-varying networks, in the presence of constraints and uncertainty, features that are typically treated separately in the literature. We adopt a proximal…

最优化与控制 · 数学 2017-05-24 Kostas Margellos , Alessandro Falsone , Simone Garatti , Maria Prandini

(Mini-batch) Stochastic Gradient Descent is a popular optimization method which has been applied to many machine learning applications. But a rather high variance introduced by the stochastic gradient in each step may slow down the…

机器学习 · 计算机科学 2018-10-09 Jingchang Liu , Linli Xu

A standard way to obtain convergence guarantees in stochastic convex optimization is to run an online learning algorithm and then output the average of its iterates: the actual iterates of the online learning algorithm do not come with…

机器学习 · 统计学 2019-03-05 Ashok Cutkosky

Min-max problems are important in multi-agent sequential decision-making because they improve the performance of the worst-performing agent in the network. However, solving the multi-agent min-max problem is challenging. We propose a…

多智能体系统 · 计算机科学 2024-05-31 Alexandros E. Tzikas , Jinkyoo Park , Mykel J. Kochenderfer , Ross E. Allen

We develop a distributed stochastic gradient descent algorithm for solving non-convex optimization problems under the assumption that the local objective functions are twice continuously differentiable with Lipschitz continuous gradients…

最优化与控制 · 数学 2019-08-20 Jemin George , Tao Yang , He Bai , Prudhvi Gurram

We introduce a primal-dual stochastic gradient oracle method for distributed convex optimization problems over networks. We show that the proposed method is optimal in terms of communication steps. Additionally, we propose a new analysis…

最优化与控制 · 数学 2019-11-28 Darina Dvinskikh , Eduard Gorbunov , Alexander Gasnikov , Pavel Dvurechensky , Cesar A. Uribe

We study online linear regression problems in a distributed setting, where the data is spread over a network. In each round, each network node proposes a linear predictor, with the objective of fitting the \emph{network-wide} data. It then…

机器学习 · 计算机科学 2019-02-14 Deming Yuan , Alexandre Proutiere , Guodong Shi

In this paper we consider a distributed optimization scenario in which a set of processors aims at minimizing the maximum of a collection of "separable convex functions" subject to local constraints. This set-up is motivated by peak-demand…

分布式、并行与集群计算 · 计算机科学 2017-03-27 Ivano Notarnicola , Mauro Franceschelli , Giuseppe Notarstefano