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We address online combinatorial optimization when the player has a prior over the adversary's sequence of losses. In this framework, Russo and Van Roy proposed an information-theoretic analysis of Thompson Sampling based on the information…

机器学习 · 计算机科学 2022-04-05 Sébastien Bubeck , Mark Sellke

Dialog response selection is an important step towards natural response generation in conversational agents. Existing work on neural conversational models mainly focuses on offline supervised learning using a large set of context-response…

计算与语言 · 计算机科学 2017-11-27 Bing Liu , Tong Yu , Ian Lane , Ole J. Mengshoel

We consider the multiarm bandit problems in the timevarying dynamic system for rich structural features. For the nonlinear dynamic model, we propose the approximate inference for the posterior distributions based on Laplace Approximation.…

机器学习 · 计算机科学 2013-10-21 Tianbing Xu , Yaming Yu , John Turner , Amelia Regan

Contextual bandits are widely-used in the study of learning-based control policies for finite action spaces. While the problem is well-studied for bandits with perfectly observed context vectors, little is known about the case of…

机器学习 · 统计学 2022-02-03 Hongju Park , Mohamad Kazem Shirani Faradonbeh

In this paper, we aim to build a novel bandits algorithm that is capable of fully harnessing the power of multi-dimensional data and the inherent non-linearity of reward functions to provide high-usable and accountable decision-making…

机器学习 · 计算机科学 2024-01-18 Qianxin Yi , Yiyang Yang , Shaojie Tang , Jiapeng Liu , Yao Wang

In the contextual linear bandit setting, algorithms built on the optimism principle fail to exploit the structure of the problem and have been shown to be asymptotically suboptimal. In this paper, we follow recent approaches of deriving…

机器学习 · 计算机科学 2020-11-23 Andrea Tirinzoni , Matteo Pirotta , Marcello Restelli , Alessandro Lazaric

The multi-armed bandit (MAB) problem is a classical learning task that exemplifies the exploration-exploitation tradeoff. However, standard formulations do not take into account {\em risk}. In online decision making systems, risk is a…

机器学习 · 计算机科学 2020-08-04 Qiuyu Zhu , Vincent Y. F. Tan

Using bandit algorithms to conduct adaptive randomised experiments can minimise regret, but it poses major challenges for statistical inference (e.g., biased estimators, inflated type-I error and reduced power). Recent attempts to address…

机器学习 · 统计学 2021-11-02 Nina Deliu , Joseph J. Williams , Sofia S. Villar

Thompson Sampling (TS) has attracted a lot of interest due to its good empirical performance, in particular in the computational advertising. Though successful, the tools for its performance analysis appeared only recently. In this paper,…

机器学习 · 计算机科学 2026-04-16 Tomas Kocak , Michal Valko , Remi Munos , Shipra Agrawal

In this paper, we propose a Thompson Sampling algorithm for \emph{unimodal} bandits, where the expected reward is unimodal over the partially ordered arms. To exploit the unimodal structure better, at each step, instead of exploration from…

机器学习 · 计算机科学 2021-06-17 Long Yang , Zhao Li , Zehong Hu , Shasha Ruan , Shijian Li , Gang Pan , Hongyang Chen

We investigate stochastic combinatorial multi-armed bandit with semi-bandit feedback (CMAB). In CMAB, the question of the existence of an efficient policy with an optimal asymptotic regret (up to a factor poly-logarithmic with the action…

机器学习 · 统计学 2021-01-05 Pierre Perrault , Etienne Boursier , Vianney Perchet , Michal Valko

Real-world contextual bandit problems with complex reward models are often tackled with iteratively trained models, such as boosting trees. However, it is difficult to directly apply simple and effective exploration strategies--such as…

We study a novel variant of the multi-armed bandit problem, where at each time step, the player observes an independently sampled context that determines the arms' mean rewards. However, playing an arm blocks it (across all contexts) for a…

机器学习 · 计算机科学 2020-06-18 Soumya Basu , Orestis Papadigenopoulos , Constantine Caramanis , Sanjay Shakkottai

We study the $K$-armed contextual dueling bandit problem, a sequential decision making setting in which the learner uses contextual information to make two decisions, but only observes \emph{preference-based feedback} suggesting that one…

机器学习 · 计算机科学 2021-11-25 Aadirupa Saha , Akshay Krishnamurthy

We study the Logistic Contextual Slate Bandit problem, where, at each round, an agent selects a slate of $N$ items from an exponentially large set (of size $2^{\Omega(N)}$) of candidate slates provided by the environment. A single binary…

机器学习 · 计算机科学 2026-05-13 Tanmay Goyal , Gaurav Sinha

We provide a unified algorithmic framework for ensemble sampling in nonlinear contextual bandits and develop corresponding regret bounds for two most common nonlinear contextual bandit settings: Generalized Linear Ensemble Sampling (GLM-ES)…

机器学习 · 计算机科学 2026-05-12 Jiazheng Sun , Weixin Wang , Pan Xu

Most bandit algorithms assume that the reward variances or their upper bounds are known, and that they are the same for all arms. This naturally leads to suboptimal performance and higher regret due to variance overestimation. On the other…

机器学习 · 计算机科学 2023-10-13 Aadirupa Saha , Branislav Kveton

We revisit the classic regret-minimization problem in the stochastic multi-armed bandit setting when the arm-distributions are allowed to be heavy-tailed. Regret minimization has been well studied in simpler settings of either bounded…

机器学习 · 计算机科学 2021-02-09 Shubhada Agrawal , Sandeep Juneja , Wouter M. Koolen

In the stochastic multi-armed bandit problem, a randomized probability matching policy called Thompson sampling (TS) has shown excellent performance in various reward models. In addition to the empirical performance, TS has been shown to…

机器学习 · 计算机科学 2023-02-06 Jongyeong Lee , Junya Honda , Chao-Kai Chiang , Masashi Sugiyama

We study Thompson Sampling algorithms for stochastic multi-armed bandits in the batched setting, in which we want to minimize the regret over a sequence of arm pulls using a small number of policy changes (or, batches). We propose two…

机器学习 · 计算机科学 2021-08-17 Nikolai Karpov , Qin Zhang