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In the multiarmed bandit problem a gambler chooses an arm of a slot machine to pull considering a tradeoff between exploration and exploitation. We study the stochastic bandit problem where each arm has a reward distribution supported in a…

统计理论 · 数学 2013-03-29 Junya Honda , Akimichi Takemura

The problem of opportunistic spectrum access in cognitive radio networks has been recently formulated as a non-Bayesian restless multi-armed bandit problem. In this problem, there are N arms (corresponding to channels) and one player…

机器学习 · 计算机科学 2011-11-10 Wenhan Dai , Yi Gai , Bhaskar Krishnamachari

We study the Stochastic Multi-armed Bandit problem under bounded arm-memory. In this setting, the arms arrive in a stream, and the number of arms that can be stored in the memory at any time, is bounded. The decision-maker can only pull…

机器学习 · 计算机科学 2020-12-10 Arnab Maiti , Vishakha Patil , Arindam Khan

Within the context of stochastic probing with commitment, we consider the online stochastic matching problem; that is, the one-sided online bipartite matching problem where edges adjacent to an online node must be probed to determine if…

数据结构与算法 · 计算机科学 2021-03-02 Allan Borodin , Calum MacRury , Akash Rakheja

We study a number of graph exploration problems in the following natural scenario: an algorithm starts exploring an undirected graph from some seed node; the algorithm, for an arbitrary node $v$ that it is aware of, can ask an oracle to…

数据结构与算法 · 计算机科学 2017-10-25 Flavio Chierichetti , Shahrzad Haddadan

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

数据结构与算法 · 计算机科学 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

We study the multi-armed bandit (MAB) problem with composite and anonymous feedback. In this model, the reward of pulling an arm spreads over a period of time (we call this period as reward interval) and the player receives partial rewards…

机器学习 · 计算机科学 2020-12-16 Siwei Wang , Haoyun Wang , Longbo Huang

In the influence maximization (IM) problem, we are given a social network and a budget $k$, and we look for a set of $k$ nodes in the network, called seeds, that maximize the expected number of nodes that are reached by an influence cascade…

社会与信息网络 · 计算机科学 2021-05-11 Gianlorenzo D'Angelo , Debashmita Poddar , Cosimo Vinci

The independent cascade model is a widely used framework for simulating the spread of influence in social networks. In this model, activations propagate stochastically through the network, with each edge having a probability of transmitting…

概率论 · 数学 2026-03-06 Peiyao Liu

We study online reinforcement learning in average-reward stochastic games (SGs). An SG models a two-player zero-sum game in a Markov environment, where state transitions and one-step payoffs are determined simultaneously by a learner and an…

机器学习 · 计算机科学 2017-12-05 Chen-Yu Wei , Yi-Te Hong , Chi-Jen Lu

The problem of learning the structure of a high dimensional graphical model from data has received considerable attention in recent years. In many applications such as sensor networks and proteomics it is often expensive to obtain samples…

机器学习 · 统计学 2016-04-08 Gautam Dasarathy , Aarti Singh , Maria-Florina Balcan , Jong Hyuk Park

This paper is in the field of stochastic Multi-Armed Bandits (MABs), i.e., those sequential selection techniques able to learn online using only the feedback given by the chosen option (a.k.a. arm). We study a particular case of the rested…

机器学习 · 计算机科学 2022-12-08 Alberto Maria Metelli , Francesco Trovò , Matteo Pirola , Marcello Restelli

The problem of online matching with stochastic rewards is a generalization of the online bipartite matching problem where each edge has a probability of success. When a match is made it succeeds with the probability of the corresponding…

数据结构与算法 · 计算机科学 2022-05-12 Vineet Goyal , Rajan Udwani

We study the online learning with feedback graphs framework introduced by Mannor and Shamir (2011), in which the feedback received by the online learner is specified by a graph $G$ over the available actions. We develop an algorithm that…

机器学习 · 计算机科学 2021-07-21 Liad Erez , Tomer Koren

We study a random game in which two players in turn play a fixed number of moves. For each move, there are two possible choices. To each possible outcome of the game we assign a winner in an i.i.d. fashion with a fixed parameter p. In the…

概率论 · 数学 2024-09-05 Natalia Cardona-Tobón , Anja Sturm , Jan M. Swart

We derive upper and lower bounds for the policy regret of $T$-round online learning problems with graph-structured feedback, where the adversary is nonoblivious but assumed to have a bounded memory. We obtain upper bounds of $\widetilde…

机器学习 · 计算机科学 2018-04-03 Zhili Feng , Po-Ling Loh

Stochastic multi-armed bandits form a class of online learning problems that have important applications in online recommendation systems, adaptive medical treatment, and many others. Even though potential attacks against these learning…

机器学习 · 计算机科学 2019-05-17 Fang Liu , Ness Shroff

We consider a stochastic directed graph on the integers whereby a directed edge between $i$ and a larger integer $j$ exists with probability $p_{j-i}$ depending solely on the distance between the two integers. Under broad conditions, we…

概率论 · 数学 2017-11-29 Denis Denisov , Sergey Foss , Takis Konstantopoulos

In this paper we consider the Stochastic Matching problem, which is motivated by applications in kidney exchange and online dating. We are given an undirected graph in which every edge is assigned a probability of existence and a positive…

数据结构与算法 · 计算机科学 2015-05-07 Marek Adamczyk , Fabrizio Grandoni , Joydeep Mukherjee

We consider a K-armed bandit problem in general graphs where agents are arbitrarily connected and each of them has limited memorizing capabilities and communication bandwidth. The goal is to let each of the agents eventually learn the best…

机器学习 · 计算机科学 2023-05-09 Feng Li , Xuyang Yuan , Lina Wang , Huan Yang , Dongxiao Yu , Weifeng Lv , Xiuzhen Cheng