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In Iterative Learning Control (ILC), a sequence of feedforward control actions is generated at each iteration on the basis of partial model knowledge and past measurements with the goal of steering the system toward a desired reference…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Efe C. Balta , Andrea Iannelli , Roy S. Smith , John Lygeros

This paper proposes a distributed dual gradient tracking algorithm (DDGT) to solve resource allocation problems over an unbalanced network, where each node in the network holds a private cost function and computes the optimal resource by…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Jiaqi Zhang , Keyou You , Kai Cai

We study a fully decentralized federated learning algorithm, which is a novel gradient descent algorithm executed on a communication-based network. For convenience, we refer to it as a network gradient descent (NGD) method. In the NGD…

Machine Learning · Computer Science 2022-05-18 Shuyuan Wu , Danyang Huang , Hansheng Wang

In decentralized learning, a network of nodes cooperate to minimize an overall objective function that is usually the finite-sum of their local objectives, and incorporates a non-smooth regularization term for the better generalization…

Machine Learning · Computer Science 2022-01-25 Xuanjie Li , Yuedong Xu , Jessie Hui Wang , Xin Wang , John C. S. Lui

We consider a decentralized learning problem, where a set of computing nodes aim at solving a non-convex optimization problem collaboratively. It is well-known that decentralized optimization schemes face two major system bottlenecks:…

Machine Learning · Computer Science 2019-11-04 Amirhossein Reisizadeh , Hossein Taheri , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

In this paper, we study the problem of distributed multi-agent optimization over a network, where each agent possesses a local cost function that is smooth and strongly convex. The global objective is to find a common solution that…

Optimization and Control · Mathematics 2019-08-02 Shi Pu , Angelia Nedić

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

Multi-task learning (MTL) aims at solving multiple related tasks simultaneously and has experienced rapid growth in recent years. However, MTL models often suffer from performance degeneration with negative transfer due to learning several…

Machine Learning · Computer Science 2023-02-01 Xin Dong , Ruize Wu , Chao Xiong , Hai Li , Lei Cheng , Yong He , Shiyou Qian , Jian Cao , Linjian Mo

Consensus optimization enables autonomous agents to solve joint tasks through peer-to-peer exchanges alone. Classical decentralized gradient descent is appealing for its minimal state but fails to achieve exact consensus with fixed…

Optimization and Control · Mathematics 2025-12-02 Hong Wang

In online learning, the data is provided in a sequential order, and the goal of the learner is to make online decisions to minimize overall regrets. This note is concerned with continuous-time models and algorithms for several online…

Machine Learning · Statistics 2024-05-20 Lexing Ying

Distributed optimization enables networked agents to cooperatively solve a global optimization problem even with each participating agent only having access to a local partial view of the objective function. Despite making significant…

Optimization and Control · Mathematics 2022-10-04 Yongqiang Wang , Tamer Başar

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

This work addresses decentralized online optimization in non-stationary environments. A network of agents aim to track the minimizer of a global time-varying convex function. The minimizer evolves according to a known dynamics corrupted by…

Optimization and Control · Mathematics 2016-09-12 Shahin Shahrampour , Ali Jadbabaie

In this paper, we propose an online convex optimization approach with two different levels of adaptivity. On a higher level, our approach is agnostic to the unknown types and curvatures of the online functions, while at a lower level, it…

Machine Learning · Computer Science 2024-04-17 Yu-Hu Yan , Peng Zhao , Zhi-Hua Zhou

In online learning, the dynamic regret metric chooses the reference (optimal) solution that may change over time, while the typical (static) regret metric assumes the reference solution to be constant over the whole time horizon. The…

Machine Learning · Computer Science 2019-09-04 Yawei Zhao , Shuang Qiu , Ji Liu

Adaptive gradient methods are the method of choice for optimization in machine learning and used to train the largest deep models. In this paper we study the problem of learning a local preconditioner, that can change as the data is…

Machine Learning · Computer Science 2023-01-27 Zhou Lu , Wenhan Xia , Sanjeev Arora , Elad Hazan

This paper proposes a novel proximal-gradient algorithm for a decentralized optimization problem with a composite objective containing smooth and non-smooth terms. Specifically, the smooth and nonsmooth terms are dealt with by gradient and…

Optimization and Control · Mathematics 2021-02-02 Zhi Li , Wei Shi , Ming Yan

We study online learning in adversarial nonstationary environments. Since the future can be very different from the past, a critical challenge is to gracefully forget the history while new data comes in. To formalize this intuition, we…

Machine Learning · Computer Science 2024-06-21 Zhiyu Zhang , David Bombara , Heng Yang

Decentralized optimization over time-varying graphs has been increasingly common in modern machine learning with massive data stored on millions of mobile devices, such as in federated learning. This paper revisits the widely used…

Optimization and Control · Mathematics 2024-12-09 Huan Li , Zhouchen Lin

Online learning with limited information feedback (bandit) tries to solve the problem where an online learner receives partial feedback information from the environment in the course of learning. Under this setting, Flaxman et al.[8]…

Machine Learning · Computer Science 2019-03-18 Binbin Liu , Jundong Li , Yunquan Song , Xijun Liang , Ling Jian , Huan Liu
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