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We propose a framework which generalizes "decision making with structured observations" by allowing robust (i.e. multivalued) models. In this framework, each model associates each decision with a convex set of probability distributions over…

Machine Learning · Computer Science 2025-06-27 Alexander Appel , Vanessa Kosoy

We consider the problem of transfer learning in an online setting. Different tasks are presented sequentially and processed by a within-task algorithm. We propose a lifelong learning strategy which refines the underlying data representation…

Machine Learning · Statistics 2019-10-14 Pierre Alquier , The Tien Mai , Massimiliano Pontil

We study online resource allocation among N interacting modules over T rounds. Unlike standard online optimization, costs are endogenous: they depend on the full allocation vector through an interaction matrix W encoding pairwise…

Artificial Intelligence · Computer Science 2026-03-20 Rui Chai

This paper considers distributed online convex constrained optimization, in which various agents in a multi-agent system cooperate to minimize a global cost function through communicating with neighbors over a time-varying network. When the…

Optimization and Control · Mathematics 2023-02-02 Wentao Zhang , Yang Shi , Baoyong Zhang , Deming Yuan

We consider the nonstochastic multi-agent multi-armed bandit problem with agents collaborating via a communication network with delays. We show a lower bound for individual regret of all agents. We show that with suitable regularizers and…

Machine Learning · Statistics 2023-10-24 Jialin Yi , Milan Vojnović

We establish the first uncoupled learning algorithm that attains $O(n \log^2 d \log T)$ per-player regret in multi-player general-sum games, where $n$ is the number of players, $d$ is the number of actions available to each player, and $T$…

Computer Science and Game Theory · Computer Science 2025-04-01 Ashkan Soleymani , Georgios Piliouras , Gabriele Farina

This paper introduces consensus-based primal-dual methods for distributed online optimization where the time-varying system objective function $f_t(\mathbf{x})$ is given as the sum of local agents' objective functions, i.e.,…

Optimization and Control · Mathematics 2017-06-01 Soomin Lee , Michael M. Zavlanos

The online problem of computing the top eigenvector is fundamental to machine learning. In both adversarial and stochastic settings, previous results (such as matrix multiplicative weight update, follow the regularized leader, follow the…

Machine Learning · Computer Science 2017-09-19 Zeyuan Allen-Zhu , Yuanzhi Li

We propose a new partial-observability model for online learning problems where the learner, besides its own loss, also observes some noisy feedback about the other actions, depending on the underlying structure of the problem. We represent…

Machine Learning · Computer Science 2026-04-16 Tomáš Kocák , Gergely Neu , Michal Valko

We consider the problem of online combinatorial optimization under semi-bandit feedback. The goal of the learner is to sequentially select its actions from a combinatorial decision set so as to minimize its cumulative loss. We propose a…

Machine Learning · Computer Science 2013-05-14 Gergely Neu , Gábor Bartók

We consider the finite horizon continuous reinforcement learning problem. Our contribution is three-fold. First,we give a tractable algorithm based on optimistic value iteration for the problem. Next,we give a lower bound on regret of order…

Machine Learning · Computer Science 2019-08-05 Phanideep Gampa , Sairam Satwik Kondamudi , Lakshmanan Kailasam

Federated learning (FL) is a powerful Machine Learning (ML) paradigm that enables distributed clients to collaboratively learn a shared global model while keeping the data on the original device, thereby preserving privacy. A central…

Machine Learning · Computer Science 2024-04-25 Yi Hu , Hanchi Ren , Chen Hu , Jingjing Deng , Xianghua Xie

We study a variant of prediction with expert advice where the learner's action at round $t$ is only allowed to depend on losses on a specific subset of the rounds (where the structure of which rounds' losses are visible at time $t$ is…

Machine Learning · Computer Science 2024-07-02 Khashayar Gatmiry , Jon Schneider

Much of the work in online learning focuses on the study of sublinear upper bounds on the regret. In this work, we initiate the study of best-case lower bounds in online convex optimization, wherein we bound the largest improvement an…

Machine Learning · Computer Science 2021-06-25 Cristóbal Guzmán , Nishant A. Mehta , Ali Mortazavi

We consider a family of learning strategies for online optimization problems that evolve in continuous time and we show that they lead to no regret. From a more traditional, discrete-time viewpoint, this continuous-time approach allows us…

Optimization and Control · Mathematics 2014-02-28 Joon Kwon , Panayotis Mertikopoulos

This paper introduces a dual-based algorithm framework for solving the regularized online resource allocation problems, which have potentially non-concave cumulative rewards, hard resource constraints, and a non-separable regularizer. Under…

Machine Learning · Computer Science 2023-07-18 Wanteng Ma , Ying Cao , Danny H. K. Tsang , Dong Xia

In this paper, the online variants of the classical Frank-Wolfe algorithm are considered. We consider minimizing the regret with a stochastic cost. The online algorithms only require simple iterative updates and a non-adaptive step size…

Machine Learning · Statistics 2016-08-16 Jean Lafond , Hoi-To Wai , Eric Moulines

In an online decision problem, one makes decisions often with a pool of decision sequence called experts but without knowledge of the future. After each step, one pays a cost based on the decision and observed rate. One reasonal goal would…

Machine Learning · Computer Science 2015-12-23 Chunyang Xiao

Online structured prediction, including online classification as a special case, is the task of sequentially predicting labels from input features. In this setting, the surrogate regret -- the cumulative excess of the actual target loss…

Machine Learning · Computer Science 2026-05-15 Shinsaku Sakaue , Han Bao , Yuzhou Cao

We study a class of adversarial bandit optimization problems in which the loss functions may be non-convex and non-smooth. In each round, the learner observes a loss that consists of an underlying linear component together with an…

Machine Learning · Computer Science 2026-03-30 Zhuoyu Cheng , Kohei Hatano , Eiji Takimoto