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Many prediction domains, such as ad placement, recommendation, trajectory prediction, and document summarization, require predicting a set or list of options. Such lists are often evaluated using submodular reward functions that measure…

Machine Learning · Computer Science 2013-05-14 Stephane Ross , Jiaji Zhou , Yisong Yue , Debadeepta Dey , J. Andrew Bagnell

Online learning algorithms have been successfully used to design caching policies with sublinear regret in the total number of requests, with no statistical assumption about the request sequence. Most existing algorithms involve…

Machine Learning · Computer Science 2025-03-05 Younes Ben Mazziane , Francescomaria Faticanti , Sara Alouf , Giovanni Neglia

Common statistical practice has shown that the full power of Bayesian methods is not realized until hierarchical priors are used, as these allow for greater "robustness" and the ability to "share statistical strength." Yet it is an ongoing…

Machine Learning · Computer Science 2015-05-20 Jonathan H. Huggins , Joshua B. Tenenbaum

This paper addresses the critical challenge of stochastic latent heterogeneity in online decision-making, where individuals' responses to actions vary not only with observable contexts but also with unobserved, randomly realized subgroups.…

Machine Learning · Computer Science 2025-11-17 Elynn Chen , Xi Chen , Wenbo Jing , Xiao Liu

In this paper, we introduce a two-stage Bayesian persuasion model in which a third-party platform controls the information available to the sender about users' preferences. We aim to characterize the optimal information disclosure policy of…

Computer Science and Game Theory · Computer Science 2024-07-23 Itai Arieli , Omer Madmon , Moshe Tennenholtz

We consider online optimization with binary decision variables and convex loss functions. We design a new algorithm, binary online gradient descent (bOGD) and bound its expected dynamic regret. We provide a regret bound that holds for any…

Optimization and Control · Mathematics 2022-01-21 Antoine Lesage-Landry , Joshua A. Taylor , Duncan S. Callaway

Stochastic linear bandits are a fundamental model for sequential decision making, where an agent selects a vector-valued action and receives a noisy reward with expected value given by an unknown linear function. Although well studied in…

Machine Learning · Computer Science 2025-06-23 Bruce Huang , Ruida Zhou , Lin F. Yang , Suhas Diggavi

Online learning methods yield sequential regret bounds under minimal assumptions and provide in-expectation risk bounds for statistical learning. However, despite the apparent advantage of online guarantees over their statistical…

Machine Learning · Computer Science 2023-08-16 Dirk van der Hoeven , Nikita Zhivotovskiy , Nicolò Cesa-Bianchi

This work introduces the first small-loss and gradual-variation regret bounds for online portfolio selection, marking the first instances of data-dependent bounds for online convex optimization with non-Lipschitz, non-smooth losses. The…

Machine Learning · Computer Science 2023-11-07 Chung-En Tsai , Ying-Ting Lin , Yen-Huan Li

In digital health and EdTech, recommendation systems face a significant challenge: users often choose impulsively, in ways that conflict with the platform's long-term payoffs. This misalignment makes it difficult to effectively learn to…

Machine Learning · Computer Science 2024-02-22 Arpit Agarwal , Rad Niazadeh , Prathamesh Patil

We study online learning problems in which a decision maker has to take a sequence of decisions subject to $m$ long-term constraints. The goal of the decision maker is to maximize their total reward, while at the same time achieving small…

Machine Learning · Computer Science 2022-09-16 Matteo Castiglioni , Andrea Celli , Alberto Marchesi , Giulia Romano , Nicola Gatti

This letter studies the problem of online multi-step-ahead prediction for unknown linear stochastic systems. Using conditional distribution theory, we derive an optimal parameterization of the prediction policy as a linear function of…

Machine Learning · Computer Science 2025-11-18 Jiachen Qian , Yang Zheng

We study various discrete nonlinear combinatorial optimization problems in an online learning framework. In the first part, we address the question of whether there are negative results showing that getting a vanishing (or even vanishing…

Data Structures and Algorithms · Computer Science 2020-06-24 Evripidis Bampis , Dimitris Christou , Bruno Escoffier , Nguyen Kim Thang

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

We consider an online learning problem on a continuum. A decision maker is given a compact feasible set $S$, and is faced with the following sequential problem: at iteration~$t$, the decision maker chooses a distribution $x^{(t)} \in…

Machine Learning · Computer Science 2015-04-30 Walid Krichene

We study the problem of full-information online learning in the "bounded recall" setting popular in the study of repeated games. An online learning algorithm $\mathcal{A}$ is $M$-$\textit{bounded-recall}$ if its output at time $t$ can be…

Machine Learning · Computer Science 2024-06-04 Jon Schneider , Kiran Vodrahalli

We consider the problem of using observational bandit feedback data from multiple heterogeneous data sources to learn a personalized decision policy that robustly generalizes across diverse target settings. To achieve this, we propose a…

Machine Learning · Computer Science 2024-10-14 Aldo Gael Carranza , Susan Athey

In repeated interaction problems with adaptive agents, our objective often requires anticipating and optimizing over the space of possible agent responses. We show that many problems of this form can be cast as instances of online…

Machine Learning · Computer Science 2024-06-28 William Brown , Christos Papadimitriou , Tim Roughgarden

In this paper, we study the problem of efficient online reinforcement learning in the infinite horizon setting when there is an offline dataset to start with. We assume that the offline dataset is generated by an expert but with unknown…

Machine Learning · Computer Science 2024-02-05 Dengwang Tang , Rahul Jain , Botao Hao , Zheng Wen

This paper presents a new framework for analyzing and designing no-regret algorithms for dynamic (possibly adversarial) systems. The proposed framework generalizes the popular online convex optimization framework and extends it to its…

Machine Learning · Computer Science 2016-08-30 Ian Gemp , Sridhar Mahadevan