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In the stochastic bandit problem, the goal is to maximize an unknown function via a sequence of noisy evaluations. Typically, the observation noise is assumed to be independent of the evaluation point and to satisfy a tail bound uniformly…

Machine Learning · Statistics 2018-04-20 Johannes Kirschner , Andreas Krause

In the convex optimization approach to online regret minimization, many methods have been developed to guarantee a $O(\sqrt{T})$ bound on regret for subdifferentiable convex loss functions with bounded subgradients, by using a reduction to…

Machine Learning · Computer Science 2016-09-20 Arthur Flajolet , Patrick Jaillet

A fundamental question for companies with large amount of logged data is: How to use such logged data together with incoming streaming data to make good decisions? Many companies currently make decisions via online A/B tests, but wrong…

Machine Learning · Computer Science 2020-11-10 Li Ye , Yishi Lin , Hong Xie , John C. S. Lui

This work addresses the fundamental problem of unbounded metric movement costs in bandit online convex optimization, by considering high-dimensional dynamic quadratic hitting costs and $\ell_2$-norm switching costs in a noisy bandit…

Machine Learning · Computer Science 2026-01-15 Neelkamal Bhuyan , Debankur Mukherjee , Adam Wierman

We consider a safe optimization problem with bandit feedback in which an agent sequentially chooses actions and observes responses from the environment, with the goal of maximizing an arbitrary function of the response while respecting…

Machine Learning · Computer Science 2023-05-02 Spencer Hutchinson , Berkay Turan , Mahnoosh Alizadeh

We propose a data-driven online convex optimization algorithm for controlling dynamical systems. In particular, the control scheme makes use of an initially measured input-output trajectory and behavioral systems theory which enable it to…

Optimization and Control · Mathematics 2021-11-03 Marko Nonhoff , Matthias A. Müller

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

We consider the problem of bandit optimization, inspired by stochastic optimization and online learning problems with bandit feedback. In this problem, the objective is to minimize a global loss function of all the actions, not necessarily…

Machine Learning · Computer Science 2017-09-07 Quentin Berthet , Vianney Perchet

We introduce data-driven decision-making algorithms that achieve state-of-the-art \emph{dynamic regret} bounds for non-stationary bandit settings. These settings capture applications such as advertisement allocation, dynamic pricing, and…

Machine Learning · Computer Science 2021-03-19 Wang Chi Cheung , David Simchi-Levi , Ruihao Zhu

For traffic routing platforms, the choice of which route to recommend to a user depends on the congestion on these routes -- indeed, an individual's utility depends on the number of people using the recommended route at that instance.…

Machine Learning · Computer Science 2023-01-24 Pranjal Awasthi , Kush Bhatia , Sreenivas Gollapudi , Kostas Kollias

We introduce efficient algorithms which achieve nearly optimal regrets for the problem of stochastic online shortest path routing with end-to-end feedback. The setting is a natural application of the combinatorial stochastic bandits…

Machine Learning · Computer Science 2018-12-20 Ruihao Zhu , Eytan Modiano

Closed-loop decision-making systems (e.g., lending, screening, or recidivism risk assessment) often operate under fairness and service constraints while inducing feedback effects: decisions change who appears in the future, yielding…

Machine Learning · Computer Science 2025-12-30 Wenzhang Du

Recently, several universal methods have been proposed for online convex optimization which can handle convex, strongly convex and exponentially concave cost functions simultaneously. However, most of these algorithms have been designed…

Machine Learning · Computer Science 2023-02-14 Arnold Salas

Due to the high cost of communication, federated learning (FL) systems need to sample a subset of clients that are involved in each round of training. As a result, client sampling plays an important role in FL systems as it affects the…

Machine Learning · Computer Science 2025-01-31 Boxin Zhao , Lingxiao Wang , Ziqi Liu , Zhiqiang Zhang , Jun Zhou , Chaochao Chen , Mladen Kolar

This paper addresses two fundamental challenges in distributed online convex optimization: communication efficiency and optimization under limited feedback. We propose a unified framework named Online Compressed Gradient Tracking (OCGT),…

Optimization and Control · Mathematics 2025-12-08 Longkang Zhu , Xinli Shi , Xiangping Xu , Jinde Cao , Xiangyong Chen

In online convex optimization, the player aims to minimize regret, or the difference between her loss and that of the best fixed decision in hindsight over the entire repeated game. Algorithms that minimize (standard) regret may converge to…

Machine Learning · Computer Science 2023-02-14 Zhou Lu , Elad Hazan

We study online meta-learning with bandit feedback, with the goal of improving performance across multiple tasks if they are similar according to some natural similarity measure. As the first to target the adversarial online-within-online…

Machine Learning · Computer Science 2023-11-02 Mikhail Khodak , Ilya Osadchiy , Keegan Harris , Maria-Florina Balcan , Kfir Y. Levy , Ron Meir , Zhiwei Steven Wu

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

Unlike classical control theory, such as Linear Quadratic Control (LQC), real-world control problems are highly complex. These problems often involve adversarial perturbations, bandit feedback models, and non-quadratic, adversarially chosen…

Machine Learning · Computer Science 2024-10-03 Y. Jennifer Sun , Zhou Lu

We consider the problem of fitting a reinforcement learning (RL) model to some given behavioral data under a multi-armed bandit environment. These models have received much attention in recent years for characterizing human and animal…

Computational Engineering, Finance, and Science · Computer Science 2026-03-27 Hao Zhu , Jasper Hoffmann , Baohe Zhang , Joschka Boedecker