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This paper addresses an online convex optimization problem where the cost function at each step depends on a history of past decisions (i.e., memory), and the decision maker has access to limited predictions of future cost values within a…

Optimization and Control · Mathematics 2025-12-29 Zhengmiao Wang , Zhi-Wei Liu , Ming Chi , Xiaoling Wang , Housheng Su , Lintao Ye

We study Online Convex Optimization with adversarial constraints (COCO). At each round a learner selects an action from a convex decision set and then an adversary reveals a convex cost and a convex constraint function. The goal of the…

Machine Learning · Computer Science 2025-11-17 Abhishek Sinha , Rahul Vaze

Stochastic and adversarial data are two widely studied settings in online learning. But many optimization tasks are neither i.i.d. nor fully adversarial, which makes it of fundamental interest to get a better theoretical understanding of…

Machine Learning · Computer Science 2022-06-09 Sarah Sachs , Hédi Hadiji , Tim van Erven , Cristóbal Guzmán

We develop a reduction-based framework for online learning with delayed feedback that recovers and improves upon existing results for both first-order and bandit convex optimization. Our approach introduces a continuous-time model under…

Machine Learning · Computer Science 2026-02-04 Alexander Ryabchenko , Idan Attias , Daniel M. Roy

We extend the regret analysis of the online distributed weighted dual averaging (DWDA) algorithm [1] to the dynamic setting and provide the tightest dynamic regret bound known to date with respect to the time horizon for a distributed…

Optimization and Control · Mathematics 2020-12-11 Antoine Lesage-Landry , Duncan S. Callaway

In this paper, we develop a novel virtual-queue-based online algorithm for online convex optimization (OCO) problems with long-term and time-varying constraints and conduct a performance analysis with respect to the dynamic regret and…

Optimization and Control · Mathematics 2021-11-16 Qingsong Liu , Wenfei Wu , Longbo Huang , Zhixuan Fang

We present an adaptive online gradient descent algorithm to solve online convex optimization problems with long-term constraints , which are constraints that need to be satisfied when accumulated over a finite number of rounds T , but can…

Machine Learning · Statistics 2015-12-24 Rodolphe Jenatton , Jim Huang , Cédric Archambeau

We consider a distributed convex optimization problem in a network which is time-varying and not always strongly connected. The local cost function of each node is affected by some stochastic process. All nodes of the network collaborate to…

Optimization and Control · Mathematics 2021-05-27 Wenjie Li , Mohamad Assaad

Online optimization has emerged as powerful tool in large scale optimization. In this paper, we introduce efficient online algorithms based on the alternating directions method (ADM). We introduce a new proof technique for ADM in the batch…

Machine Learning · Computer Science 2012-07-03 Huahua Wang , Arindam Banerjee

We introduce the Smoothed Online Optimization for Target Tracking (SOOTT) problem, a new framework that integrates three key objectives in online decision-making under uncertainty: (1) tracking cost for following a dynamically moving…

Machine Learning · Computer Science 2025-09-09 Ali Zeynali , Mahsa Sahebdel , Qingsong Liu , Mohammad Hajiesmaili , Ramesh K. Sitaraman

The dynamic competition between radar and jammer systems presents a significant challenge for modern Electronic Warfare (EW), as current active learning approaches still lack sample efficiency and fail to exploit jammer's characteristics.…

Signal Processing · Electrical Eng. & Systems 2024-07-12 Liangqi Liu , Wenqiang Pu , Yingru Li , Bo Jiu , Zhi-Quan Luo

We study the smoothed online quadratic optimization (SOQO) problem where, at each round $t$, a player plays an action $x_t$ in response to a quadratic hitting cost and an additional squared $\ell_2$-norm cost for switching actions. This…

Optimization and Control · Mathematics 2024-03-26 Neelkamal Bhuyan , Debankur Mukherjee , Adam Wierman

In online convex optimization (OCO), Lipschitz continuity of the functions is commonly assumed in order to obtain sublinear regret. Moreover, many algorithms have only logarithmic regret when these functions are also strongly convex.…

Machine Learning · Computer Science 2021-01-01 Yihan Zhou , Victor S. Portella , Mark Schmidt , Nicholas J. A. Harvey

Online convex optimization with switching cost is considered under the frugal information setting where at time $t$, before action $x_t$ is taken, only a single function evaluation and a single gradient is available at the previously chosen…

Optimization and Control · Mathematics 2025-07-08 Harsh Shah , Purna Chandrasekhar , Rahul Vaze

Stochastically Extended Adversarial (SEA) model is introduced by Sachs et al. [2022] as an interpolation between stochastic and adversarial online convex optimization. Under the smoothness condition, they demonstrate that the expected…

Machine Learning · Computer Science 2024-03-19 Sijia Chen , Yu-Jie Zhang , Wei-Wei Tu , Peng Zhao , Lijun Zhang

In this paper, we propose a learning approach to analyze dynamic systems with asymmetric information structure. Instead of adopting a game theoretic setting, we investigate an online quadratic optimization problem driven by system noises…

Optimization and Control · Mathematics 2018-11-05 Cheng Tan , Wing Shing Wong

This paper studies decentralized online convex optimization in a networked multi-agent system and proposes a novel algorithm, Learning-Augmented Decentralized Online optimization (LADO), for individual agents to select actions only based on…

Machine Learning · Computer Science 2024-10-21 Pengfei Li , Jianyi Yang , Adam Wierman , Shaolei Ren

This paper considers online convex optimization (OCO) problems - the paramount framework for online learning algorithm design. The loss function of learning task in OCO setting is based on streaming data so that OCO is a powerful tool to…

Machine Learning · Computer Science 2019-11-26 Wenye Ma

Bandit Convex Optimization (BCO) is a fundamental framework for modeling sequential decision-making with partial information, where the only feedback available to the player is the one-point or two-point function values. In this paper, we…

Machine Learning · Computer Science 2020-07-07 Peng Zhao , Guanghui Wang , Lijun Zhang , Zhi-Hua Zhou

In this work, we explore online convex optimization (OCO) and introduce a new condition and analysis that provides fast rates by exploiting the curvature of feasible sets. In online linear optimization, it is known that if the average…

Machine Learning · Computer Science 2025-02-18 Taira Tsuchiya , Shinji Ito
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