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We introduce a novel online learning framework that unifies and generalizes pre-established models, such as delayed and corrupted feedback, to encompass adversarial environments where action feedback evolves over time. In this setting, the…

机器学习 · 计算机科学 2024-05-28 Yogev Bar-On , Yishay Mansour

In many applications, e.g. in healthcare and e-commerce, the goal of a contextual bandit may be to learn an optimal treatment assignment policy at the end of the experiment. That is, to minimize simple regret. However, this objective…

机器学习 · 计算机科学 2023-11-06 Sanath Kumar Krishnamurthy , Ruohan Zhan , Susan Athey , Emma Brunskill

In the regret-based formulation of Multi-armed Bandit (MAB) problems, except in rare instances, much of the literature focuses on arms with i.i.d. rewards. In this paper, we consider the problem of obtaining regret guarantees for MAB…

机器学习 · 计算机科学 2022-10-11 Arghyadip Roy , Sanjay Shakkottai , R. Srikant

We study adaptive regret bounds in terms of the variation of the losses (the so-called path-length bounds) for both multi-armed bandit and more generally linear bandit. We first show that the seemingly suboptimal path-length bound of (Wei…

机器学习 · 计算机科学 2019-06-19 Sébastien Bubeck , Yuanzhi Li , Haipeng Luo , Chen-Yu Wei

We study the problem of \emph{dynamic regret minimization} in $K$-armed Dueling Bandits under non-stationary or time varying preferences. This is an online learning setup where the agent chooses a pair of items at each round and observes…

机器学习 · 计算机科学 2022-06-14 Aadirupa Saha , Shubham Gupta

We study the $\textit{single-index bandit}$ problem, where rewards depend on an unknown one-dimensional projection of high-dimensional contexts through an unknown reward function. This model extends linear and generalized linear bandits to…

机器学习 · 统计学 2026-05-12 Devdan Dey , Sujoy Bhore , Avishek Ghosh

We study the non-stationary stochastic multiarmed bandit (MAB) problem and propose two generic algorithms, namely, the limited memory deterministic sequencing of exploration and exploitation (LM-DSEE) and the Sliding-Window Upper Confidence…

机器学习 · 统计学 2018-04-25 Lai Wei , Vaibhav Srivastava

We discuss a multiple-play multi-armed bandit (MAB) problem in which several arms are selected at each round. Recently, Thompson sampling (TS), a randomized algorithm with a Bayesian spirit, has attracted much attention for its empirically…

机器学习 · 统计学 2019-03-22 Junpei Komiyama , Junya Honda , Hiroshi Nakagawa

This paper aims to put forward the concept that learning to take safe actions in unknown environments, even with probability one guarantees, can be achieved without the need for an unbounded number of exploratory trials, provided that one…

机器学习 · 计算机科学 2021-04-01 Agustin Castellano , Juan Bazerque , Enrique Mallada

Motivated by a natural problem in online model selection with bandit information, we introduce and analyze a best arm identification problem in the rested bandit setting, wherein arm expected losses decrease with the number of times the arm…

机器学习 · 统计学 2020-12-08 Leonardo Cella , Claudio Gentile , Massimiliano Pontil

We consider the Multi-Armed Bandit (MAB) problem, where an agent sequentially chooses actions and observes rewards for the actions it took. While the majority of algorithms try to minimize the regret, i.e., the cumulative difference between…

机器学习 · 计算机科学 2021-09-14 Nadav Merlis , Shie Mannor

We study the problem of learning 'good' interventions in a stochastic environment modeled by its underlying causal graph. Good interventions refer to interventions that maximize rewards. Specifically, we consider the setting of a…

机器学习 · 计算机科学 2024-01-17 Fateme Jamshidi , Jalal Etesami , Negar Kiyavash

A sensing policy for the restless multi-armed bandit problem with stationary but unknown reward distributions is proposed. The work is presented in the context of cognitive radios in which the bandit problem arises when deciding which parts…

信息论 · 计算机科学 2012-11-20 Jan Oksanen , Visa Koivunen , H. Vincent Poor

This paper studies the one-shot behavior of no-regret algorithms for stochastic bandits. Although many algorithms are known to be asymptotically optimal with respect to the expected regret, over a single run, their pseudo-regret seems to…

机器学习 · 计算机科学 2023-12-01 Victor Boone

Motivated by economic applications such as recommender systems, we study the behavior of stochastic bandits algorithms under \emph{strategic behavior} conducted by rational actors, i.e., the arms. Each arm is a \emph{self-interested}…

机器学习 · 计算机科学 2020-11-16 Zhe Feng , David C. Parkes , Haifeng Xu

We consider the non-stochastic version of the (cooperative) multi-player multi-armed bandit problem. The model assumes no communication at all between the players, and furthermore when two (or more) players select the same action this…

机器学习 · 计算机科学 2019-05-03 Sébastien Bubeck , Yuanzhi Li , Yuval Peres , Mark Sellke

I analyse the frequentist regret of the famous Gittins index strategy for multi-armed bandits with Gaussian noise and a finite horizon. Remarkably it turns out that this approach leads to finite-time regret guarantees comparable to those…

机器学习 · 计算机科学 2016-05-31 Tor Lattimore

We consider the classical multi-armed bandit problem, but with strategic arms. In this context, each arm is characterized by a bounded support reward distribution and strategically aims to maximize its own utility by potentially retaining a…

机器学习 · 计算机科学 2025-01-28 Ahmed Ben Yahmed , Clément Calauzènes , Vianney Perchet

We investigate the adversarial bandit problem with multiple plays under semi-bandit feedback. We introduce a highly efficient algorithm that asymptotically achieves the performance of the best switching $m$-arm strategy with minimax optimal…

机器学习 · 计算机科学 2019-12-02 N. Mert Vural , Hakan Gokcesu , Kaan Gokcesu , Suleyman S. Kozat

Logistic Bandits have recently attracted substantial attention, by providing an uncluttered yet challenging framework for understanding the impact of non-linearity in parametrized bandits. It was shown by Faury et al. (2020) that the…

机器学习 · 计算机科学 2021-03-10 Marc Abeille , Louis Faury , Clément Calauzènes