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We introduce the safe linear stochastic bandit framework---a generalization of linear stochastic bandits---where, in each stage, the learner is required to select an arm with an expected reward that is no less than a predetermined (safe)…

机器学习 · 统计学 2019-11-22 Kia Khezeli , Eilyan Bitar

Discrete-choice models, such as Multinomial Logit, Probit, or Mixed-Logit, are widely used in Marketing, Economics, and Operations Research: given a set of alternatives, the customer is modeled as choosing one of the alternatives to…

机器学习 · 计算机科学 2023-10-16 Hanzhao Wang , Xiaocheng Li , Kalyan Talluri

Bandit algorithms for online learning to rank (OLTR) problems often aim to maximize long-term revenue by utilizing user feedback. From a practical point of view, however, such algorithms have a high risk of hurting user experience due to…

信息检索 · 计算机科学 2023-05-03 Hiroaki Shiino , Kaito Ariu , Kenshi Abe , Togashi Riku

We introduce a novel framework called combinatorial logistic bandits (CLogB), where in each round, a subset of base arms (called the super arm) is selected, with the outcome of each base arm being binary and its expectation following a…

机器学习 · 计算机科学 2025-05-15 Xutong Liu , Xiangxiang Dai , Xuchuang Wang , Mohammad Hajiesmaili , John C. S. Lui

We consider the combinatorial multi-armed bandit (CMAB) problem, where the reward function is nonlinear. In this setting, the agent chooses a batch of arms on each round and receives feedback from each arm of the batch. The reward that the…

机器学习 · 计算机科学 2020-06-09 Nadav Merlis , Shie Mannor

We study neural-linear bandits for solving problems where {\em both} exploration and representation learning play an important role. Neural-linear bandits harnesses the representation power of Deep Neural Networks (DNNs) and combines it…

机器学习 · 计算机科学 2021-06-09 Ofir Nabati , Tom Zahavy , Shie Mannor

In this paper, we investigate the impact of diverse user preference on learning under the stochastic multi-armed bandit (MAB) framework. We aim to show that when the user preferences are sufficiently diverse and each arm can be optimal for…

机器学习 · 计算机科学 2022-11-11 Chao Gan , Jing Yang , Ruida Zhou , Cong Shen

We study reinforcement learning for episodic Markov Decision Processes (MDPs) whose transitions are modelled by a multinomial logistic (MNL) model. Existing algorithms for MNL mixture MDPs yield a regret of $\smash{\tilde{O}(dH^2\sqrt{T})}$…

人工智能 · 计算机科学 2026-05-20 Pierre Boudart , Pierre Gaillard , Alessandro Rudi

This paper presents a new contextual bandit algorithm, NeuralBandit, which does not need hypothesis on stationarity of contexts and rewards. Several neural networks are trained to modelize the value of rewards knowing the context. Two…

神经与进化计算 · 计算机科学 2014-09-30 Robin Allesiardo , Raphael Feraud , Djallel Bouneffouf

We consider a multi-armed bandit problem where the decision maker can explore and exploit different arms at every round. The exploited arm adds to the decision maker's cumulative reward (without necessarily observing the reward) while the…

机器学习 · 计算机科学 2012-07-03 Orly Avner , Shie Mannor , Ohad Shamir

We study the task of maximizing rewards from recommending items (actions) to users sequentially interacting with a recommender system. Users are modeled as latent mixtures of C many representative user classes, where each class specifies a…

机器学习 · 计算机科学 2016-09-07 Aditya Gopalan , Odalric-Ambrym Maillard , Mohammadi Zaki

This paper introduces a new online learning framework for multiclass classification called learning with diluted bandit feedback. At every time step, the algorithm predicts a candidate label set instead of a single label for the observed…

机器学习 · 计算机科学 2021-05-19 Gaurav Batra , Naresh Manwani

In this paper, we propose an improved online confidence bound for multinomial logistic (MNL) models and apply this result to MNL bandits, achieving variance-dependent optimal regret. Recently, Lee & Oh (2024) established an online…

机器学习 · 统计学 2025-06-17 Joongkyu Lee , Min-hwan Oh

We study a stylized dynamic assortment planning problem during a selling season of finite length $T$. At each time period, the seller offers an arriving customer an assortment of substitutable products and the customer makes the purchase…

机器学习 · 统计学 2021-02-22 Xi Chen , Chao Shi , Yining Wang , Yuan Zhou

We study two randomized algorithms for generalized linear bandits. The first, GLM-TSL, samples a generalized linear model (GLM) from the Laplace approximation to the posterior distribution. The second, GLM-FPL, fits a GLM to a randomly…

机器学习 · 计算机科学 2023-07-12 Branislav Kveton , Manzil Zaheer , Csaba Szepesvari , Lihong Li , Mohammad Ghavamzadeh , Craig Boutilier

In many sequential decision-making problems, the individuals are split into several batches and the decision-maker is only allowed to change her policy at the end of batches. These batch problems have a large number of applications, ranging…

机器学习 · 计算机科学 2021-02-26 Quanquan Gu , Amin Karbasi , Khashayar Khosravi , Vahab Mirrokni , Dongruo Zhou

We consider the adversarial combinatorial multi-armed bandit (CMAB) problem, whose decision set can be exponentially large with respect to the number of given arms. To avoid dealing with such large decision sets directly, we propose an…

数据结构与算法 · 计算机科学 2017-07-27 Shinsaku Sakaue , Masakazu Ishihata , Shin-ichi Minato

In this paper, we address the contextual dueling bandit problem by proposing variance-aware algorithms that leverage neural networks to approximate nonlinear utility functions. Our approach employs a \textit{variance-aware exploration…

机器学习 · 计算机科学 2026-05-12 Youngmin Oh , Jinje Park , Taejin Paik , Jaemin Park

The multi-armed bandit problem (MBP) is the problem of finding, as accurately and quickly as possible, the most profitable option from a set of options that gives stochastic rewards by referring to past experiences. Inspired by fluctuated…

人工智能 · 计算机科学 2015-02-16 Song-Ju Kim , Masashi Aono

The classical multi-armed bandit (MAB) problem involves a learner and a collection of K independent arms, each with its own ex ante unknown independent reward distribution. At each one of a finite number of rounds, the learner selects one…

最优化与控制 · 数学 2024-05-07 Hongda Hu , Arthur Charpentier , Mario Ghossoub , Alexander Schied