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This paper studies online optimization from a high-level unified theoretical perspective. We not only generalize both Optimistic-DA and Optimistic-MD in normed vector space, but also unify their analysis methods for dynamic regret. Regret…

机器学习 · 计算机科学 2022-02-15 Qing-xin Meng , Jian-wei Liu

This paper studies bandit convex optimization in non-stationary environments with two-point feedback, using dynamic regret as the performance measure. We propose an algorithm based on bandit mirror descent that extends naturally to…

最优化与控制 · 数学 2026-05-26 Chang He , Bo Jiang , Shuzhong Zhang

We investigate online convex optimization in non-stationary environments and choose the dynamic regret as the performance measure, defined as the difference between cumulative loss incurred by the online algorithm and that of any feasible…

机器学习 · 计算机科学 2020-12-01 Peng Zhao , Yu-Jie Zhang , Lijun Zhang , Zhi-Hua Zhou

This paper studies an online optimization problem with a finite prediction window of cost functions and additional switching costs on decisions. We propose two gradient-based online algorithms: Receding Horizon Gradient Descent (RHGD), and…

最优化与控制 · 数学 2020-03-10 Yingying Li , Guannan Qu , Na Li

In the field of online sequential decision-making, we address the problem with delays utilizing the framework of online convex optimization (OCO), where the feedback of a decision can arrive with an unknown delay. Unlike previous research…

机器学习 · 计算机科学 2024-02-26 Ping Wu , Heyan Huang , Zhengyang Liu

A well-studied generalization of the standard online convex optimization (OCO) framework is constrained online convex optimization (COCO). In COCO, on every round, a convex cost function and a convex constraint function are revealed to the…

机器学习 · 计算机科学 2024-10-29 Abhishek Sinha , Rahul Vaze

In this paper, we investigate the online non-convex optimization problem which generalizes the classic {online convex optimization problem by relaxing the convexity assumption on the cost function. For this type of problem, the classic…

机器学习 · 计算机科学 2017-09-14 Lin Yang , Cheng Tan , Wing Shing Wong

Online optimization has emerged as powerful tool in large scale optimization. In this pa- per, we introduce efficient online optimization algorithms based on the alternating direction method (ADM), which can solve online convex optimization…

机器学习 · 计算机科学 2013-07-11 Huahua Wang , Arindam Banerjee

In this paper, we broaden the horizon of online convex optimization (OCO), and consider multi-objective OCO, where there are $K$ distinct loss function sequences, and an algorithm has to choose its action at time $t$, before the $K$ loss…

机器学习 · 计算机科学 2026-02-11 Rahul Vaze , Sumiran Mishra

We propose an Online Learning with Local Permutations (OLLP) setting, in which the learner is allowed to slightly permute the \emph{order} of the loss functions generated by an adversary. On one hand, this models natural situations where…

机器学习 · 计算机科学 2017-03-14 Ohad Shamir , Liran Szlak

We consider online algorithms under both the competitive ratio criteria and the regret minimization one. Our main goal is to build a unified methodology that would be able to guarantee both criteria simultaneously. For a general class of…

机器学习 · 计算机科学 2019-04-09 Amit Daniely , Yishay Mansour

We introduce an online convex optimization algorithm which utilizes projected subgradient descent with optimal adaptive learning rates. Our method provides second-order minimax-optimal dynamic regret guarantee (i.e. dependent on the sum of…

最优化与控制 · 数学 2022-09-14 Hakan Gokcesu , Suleyman S. Kozat

We consider distributed online learning for joint regret with communication constraints. In this setting, there are multiple agents that are connected in a graph. Each round, an adversary first activates one of the agents to issue a…

机器学习 · 计算机科学 2021-10-26 Dirk van der Hoeven , Hédi Hadiji , Tim van Erven

We study fast rates of convergence in the setting of nonparametric online regression, namely where regret is defined with respect to an arbitrary function class which has bounded complexity. Our contributions are two-fold: - In the…

机器学习 · 计算机科学 2022-04-13 Constantinos Daskalakis , Noah Golowich

We study online learning in repeated first-price auctions where a bidder, only observing the winning bid at the end of each auction, learns to adaptively bid in order to maximize her cumulative payoff. To achieve this goal, the bidder faces…

机器学习 · 计算机科学 2024-03-06 Yanjun Han , Zhengyuan Zhou , Tsachy Weissman

We present a reduction from reinforcement learning (RL) to no-regret online learning based on the saddle-point formulation of RL, by which "any" online algorithm with sublinear regret can generate policies with provable performance…

机器学习 · 计算机科学 2020-01-03 Ching-An Cheng , Remi Tachet des Combes , Byron Boots , Geoff Gordon

We consider multiple parallel Markov decision processes (MDPs) coupled by global constraints, where the time varying objective and constraint functions can only be observed after the decision is made. Special attention is given to how well…

最优化与控制 · 数学 2017-09-12 Xiaohan Wei , Hao Yu , Michael J. Neely

In the online non-stochastic control problem, an agent sequentially selects control inputs for a linear dynamical system when facing unknown and adversarially selected convex costs and disturbances. A common metric for evaluating control…

最优化与控制 · 数学 2025-04-24 Vijeth Hebbar , Cédric Langbort

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

We study an online caching problem in which requests can be served by a local cache to avoid retrieval costs from a remote server. The cache can update its state after a batch of requests and store an arbitrarily small fraction of each…

机器学习 · 计算机科学 2023-06-07 T. Si Salem , G. Neglia , S. Ioannidis