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In this paper, we address tracking of a time-varying parameter with unknown dynamics. We formalize the problem as an instance of online optimization in a dynamic setting. Using online gradient descent, we propose a method that sequentially…

Machine Learning · Computer Science 2016-03-17 Aryan Mokhtari , Shahin Shahrampour , Ali Jadbabaie , Alejandro Ribeiro

This paper addresses tracking of a moving target in a multi-agent network. The target follows a linear dynamics corrupted by an adversarial noise, i.e., the noise is not generated from a statistical distribution. The location of the target…

Optimization and Control · Mathematics 2017-02-22 Shahin Shahrampour , Ali Jadbabaie

In this paper, the problem of distributed optimization is studied via a network of agents. Each agent only has access to a stochastic gradient of its own objective function in the previous time, and can communicate with its neighbors via a…

Optimization and Control · Mathematics 2024-01-29 Yuchen Yang , Kaihong Lu , Long Wang

In this paper, we consider the problem of distributed online convex optimization, where a group of agents collaborate to track the global minimizers of a sum of time-varying objective functions in an online manner. Specifically, we propose…

Optimization and Control · Mathematics 2020-10-14 Yan Zhang , Robert J. Ravier , Vahid Tarokh , Michael M. Zavlanos

This work considered an online distributed optimization problem, with a group of agents whose local objective functions vary with time. Moreover, the value of the objective function is revealed to the corresponding agent after the decision…

Optimization and Control · Mathematics 2021-08-16 Yipeng Pang , Guoqiang Hu

This paper addresses the distributed online control problem over a network of linear time-invariant (LTI) systems (with possibly unknown dynamics) in the presence of adversarial perturbations. There exists a global network cost that is…

Optimization and Control · Mathematics 2023-10-06 Ting-Jui Chang , Shahin Shahrampour

We present an algorithm guaranteeing dynamic regret bounds for online omniprediction with long term constraints. The goal in this recently introduced problem is for a learner to generate a sequence of predictions which are broadcast to a…

Machine Learning · Computer Science 2025-10-09 Yahav Bechavod , Jiuyao Lu , Aaron Roth

Time-varying systems are a challenge in many scientific and engineering areas. Usually, estimation of time-varying parameters or signals must be performed online, which calls for the development of responsive online algorithms. In this…

Optimization and Control · Mathematics 2018-09-10 Sophie M. Fosson

This paper considers the distributed online convex optimization problem with time-varying constraints over a network of agents. This is a sequential decision making problem with two sequences of arbitrarily varying convex loss and…

Optimization and Control · Mathematics 2022-12-29 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Tianyou Chai , Karl H. Johansson

This paper considers the distributed online convex-concave optimization with constraint sets over a multiagent network, in which each agent autonomously generates a series of decision pairs through a designable mechanism to cooperatively…

Optimization and Control · Mathematics 2025-08-14 Wentao Zhang , Baoyong Zhang , Deming Yuan , Shengyuan Xu , Vincent K. N. Lau

Regret minimization is treated as the golden rule in the traditional study of online learning. However, regret minimization algorithms tend to converge to the static optimum, thus being suboptimal for changing environments. To address this…

Machine Learning · Computer Science 2020-02-07 Lijun Zhang , Shiyin Lu , Tianbao Yang

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…

Optimization and Control · Mathematics 2019-05-20 Rishabh Dixit , Amrit Singh Bedi , Ketan Rajawat

In this paper, we consider the problem of distributed online convex optimization, where a network of local agents aim to jointly optimize a convex function over a period of multiple time steps. The agents do not have any information about…

Optimization and Control · Mathematics 2019-11-13 Yan Zhang , Robert J. Ravier , Michael M. Zavlanos , Vahid Tarokh

Identifying dependencies among variables in a complex system is an important problem in network science. Structural equation models (SEM) have been used widely in many fields for topology inference, because they are tractable and…

Signal Processing · Electrical Eng. & Systems 2020-03-20 Bakht Zaman , Luis Miguel Lopez Ramos , Baltasar Beferull-Lozano

This paper addresses safe distributed online optimization over an unknown set of linear safety constraints. A network of agents aims at jointly minimizing a global, time-varying function, which is only partially observable to each…

Optimization and Control · Mathematics 2023-02-27 Ting-Jui Chang , Sapana Chaudhary , Dileep Kalathil , Shahin Shahrampour

The online meta-learning framework has arisen as a powerful tool for the continual lifelong learning setting. The goal for an agent is to quickly learn new tasks by drawing on prior experience, while it faces with tasks one after another.…

Machine Learning · Computer Science 2021-09-30 Parvin Nazari , Esmaile Khorram

We consider the problem of online control of systems with time-varying linear dynamics. This is a general formulation that is motivated by the use of local linearization in control of nonlinear dynamical systems. To state meaningful…

Machine Learning · Computer Science 2022-02-15 Paula Gradu , Elad Hazan , Edgar Minasyan

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…

Machine Learning · Computer Science 2019-02-14 Deming Yuan , Alexandre Proutiere , Guodong Shi

We study the problem of estimating an unknown parameter in a distributed and online manner. Existing work on distributed online learning typically either focuses on asymptotic analysis, or provides bounds on regret. However, these results…

Systems and Control · Electrical Eng. & Systems 2022-09-15 Lei Xin , George Chiu , Shreyas Sundaram

This paper considers the distributed bandit convex optimization problem with time-varying constraints. In this problem, the global loss function is the average of all the local convex loss functions, which are unknown beforehand. Each agent…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Lihua Xie , Tianyou Chai , Tao Yang
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