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The multi-armed bandit (MAB) model is one of the most classical models to study decision-making in an uncertain environment. In this model, a player chooses one of $K$ possible arms of a bandit machine to play at each time step, where the…

机器学习 · 计算机科学 2023-06-13 Bo Li , Chi Ho Yeung

Although many algorithms for the multi-armed bandit problem are well-understood theoretically, empirical confirmation of their effectiveness is generally scarce. This paper presents a thorough empirical study of the most popular multi-armed…

人工智能 · 计算机科学 2014-02-26 Volodymyr Kuleshov , Doina Precup

This paper addresses the integration of additional information sources into a Bayesian optimization framework while ensuring that safety constraints are satisfied. The interdependencies between these information sources are modeled using an…

机器学习 · 计算机科学 2025-05-06 Jannis O. Luebsen , Annika Eichler

We introduce a latency-aware contextual bandit framework that generalizes the standard contextual bandit problem, where the learner adaptively selects arms and switches decision sets under action delays. In this setting, the learner…

机器学习 · 统计学 2025-10-10 Lai Wei , Ambuj Tewari , Michael A. Cianfrocco

Classical multi-armed bandit problems use the expected value of an arm as a metric to evaluate its goodness. However, the expected value is a risk-neutral metric. In many applications like finance, one is interested in balancing the…

机器学习 · 计算机科学 2019-06-04 Anmol Kagrecha , Jayakrishnan Nair , Krishna Jagannathan

Mode estimation is a classical problem in statistics with a wide range of applications in machine learning. Despite this, there is little understanding in its robustness properties under possibly adversarial data contamination. In this…

机器学习 · 计算机科学 2020-03-09 Aldo Pacchiano , Heinrich Jiang , Michael I. Jordan

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…

机器学习 · 计算机科学 2023-05-02 Spencer Hutchinson , Berkay Turan , Mahnoosh Alizadeh

We consider a sequential assortment selection problem where the user choice is given by a multinomial logit (MNL) choice model whose parameters are unknown. In each period, the learning agent observes a $d$-dimensional contextual…

机器学习 · 统计学 2021-03-26 Min-hwan Oh , Garud Iyengar

This paper concerns the study of optimal (supremum and infimum) uncertainty bounds for systems where the input (or prior) probability measure is only partially/imperfectly known (e.g., with only statistical moments and/or on a coarse…

机器学习 · 计算机科学 2023-01-02 Xingsheng Sun , Burigede Liu

Developing reinforcement learning algorithms that satisfy safety constraints is becoming increasingly important in real-world applications. In multi-agent reinforcement learning (MARL) settings, policy optimisation with safety awareness is…

We study dynamic allocation problems for discrete time multi-armed bandits under uncertainty, based on the the theory of nonlinear expectations. We show that, under strong independence of the bandits and with some relaxation in the…

最优化与控制 · 数学 2021-06-16 Samuel N. Cohen , Tanut Treetanthiploet

With the increase of machine learning usage by industries and scientific communities in a variety of tasks such as text mining, image recognition and self-driving cars, automatic setting of hyper-parameter in learning algorithms is a key…

人工智能 · 计算机科学 2018-05-15 Juan Cruz Barsce , Jorge A. Palombarini , Ernesto C. Martínez

Algorithms are now regularly used to decide whether defendants awaiting trial are too dangerous to be released back into the community. In some cases, black defendants are substantially more likely than white defendants to be incorrectly…

计算机与社会 · 计算机科学 2017-06-13 Sam Corbett-Davies , Emma Pierson , Avi Feller , Sharad Goel , Aziz Huq

The safe linear bandit problem is a version of the classical stochastic linear bandit problem where the learner's actions must satisfy an uncertain constraint at all rounds. Due its applicability to many real-world settings, this problem…

机器学习 · 计算机科学 2024-03-13 Spencer Hutchinson , Berkay Turan , Mahnoosh Alizadeh

Consider the problem of finding a population or a probability distribution amongst many with the largest mean when these means are unknown but population samples can be simulated or otherwise generated. Typically, by selecting largest…

概率论 · 数学 2018-09-11 Peter Glynn , Sandeep Juneja

Bayesian optimisation (BO) has been a successful approach to optimise functions which are expensive to evaluate and whose observations are noisy. Classical BO algorithms, however, do not account for errors about the location where…

机器学习 · 计算机科学 2019-02-22 Rafael Oliveira , Lionel Ott , Fabio Ramos

Uncertainty of decisions in safety-critical engineering applications can be estimated on the basis of the Bayesian Markov Chain Monte Carlo (MCMC) technique of averaging over decision models. The use of decision tree (DT) models assists…

Existing approaches of prescriptive analytics -- where inputs of an optimization model can be predicted by leveraging covariates in a machine learning model -- often attempt to optimize the mean value of an uncertain objective. However,…

机器学习 · 计算机科学 2025-03-05 Dimitris Bertsimas , Benjamin Boucher

We address the robot grasp optimization problem of unknown objects considering uncertainty in the input space. Grasping unknown objects can be achieved by using a trial and error exploration strategy. Bayesian optimization is a sample…

机器人学 · 计算机科学 2016-03-08 José Nogueira , Ruben Martinez-Cantin , Alexandre Bernardino , Lorenzo Jamone

This paper investigates a hitherto unaddressed aspect of best arm identification (BAI) in stochastic multi-armed bandits in the fixed-confidence setting. Two key metrics for assessing bandit algorithms are computational efficiency and…

机器学习 · 统计学 2023-06-26 Arpan Mukherjee , Ali Tajer