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Pure exploration in multi-armed bandits has emerged as an important framework for modeling decision-making and search under uncertainty. In modern applications, however, one is often faced with a tremendously large number of options. Even…

机器学习 · 计算机科学 2022-11-22 Parth K. Thaker , Mohit Malu , Nikhil Rao , Gautam Dasarathy

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

计算机科学与博弈论 · 计算机科学 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

We introduce a stochastic contextual bandit model where at each time step the environment chooses a distribution over a context set and samples the context from this distribution. The learner observes only the context distribution while the…

机器学习 · 统计学 2019-11-15 Johannes Kirschner , Andreas Krause

Missing data is a pervasive problem in data analyses, resulting in datasets that contain censored realizations of a target distribution. Many approaches to inference on the target distribution using censored observed data, rely on missing…

机器学习 · 统计学 2019-07-02 Rohit Bhattacharya , Razieh Nabi , Ilya Shpitser , James M. Robins

We propose a continuous optimization framework for discovering a latent directed acyclic graph (DAG) from observational data. Our approach optimizes over the polytope of permutation vectors, the so-called Permutahedron, to learn a…

机器学习 · 计算机科学 2023-02-14 Valentina Zantedeschi , Luca Franceschi , Jean Kaddour , Matt J. Kusner , Vlad Niculae

Maximizing long-term rewards is the primary goal in sequential decision-making problems. The majority of existing methods assume that side information is freely available, enabling the learning agent to observe all features' states before…

机器学习 · 计算机科学 2023-07-19 Saeed Ghoorchian , Evgenii Kortukov , Setareh Maghsudi

We consider the distributed SGD problem, where a main node distributes gradient calculations among $n$ workers. By assigning tasks to all the workers and waiting only for the $k$ fastest ones, the main node can trade-off the algorithm's…

信息论 · 计算机科学 2022-06-29 Maximilian Egger , Rawad Bitar , Antonia Wachter-Zeh , Deniz Gündüz

We consider the infinite-horizon, average-reward restless bandit problem in discrete time. We propose a new class of policies that are designed to drive a progressively larger subset of arms toward the optimal distribution. We show that our…

机器学习 · 计算机科学 2026-03-31 Yige Hong , Qiaomin Xie , Yudong Chen , Weina Wang

Self-stabilization is a versatile technique to withstand any transient fault in a distributed system. Mobile robots (or agents) are one of the emerging trends in distributed computing as they mimic autonomous biologic entities. The…

数据结构与算法 · 计算机科学 2009-09-29 Lélia Blin , Maria Gradinariu Potop-Butucaru , Sébastien Tixeuil

We investigate hide-and-seek games on complex networks using a random walk framework. Specifically, we investigate the efficiency of various degree-biased random walk search strategies to locate items that are randomly hidden on a subset of…

物理与社会 · 物理学 2019-02-20 Shubham Pandey , Reimer Kuehn

Graph planning gives rise to fundamental algorithmic questions such as shortest path, traveling salesman problem, etc. A classical problem in discrete planning is to consider a weighted graph and construct a path that maximizes the sum of…

人工智能 · 计算机科学 2018-02-13 Krishnendu Chatterjee , Laurent Doyen

This paper studies a multi-armed bandit (MAB) version of the range-searching problem. In its basic form, range searching considers as input a set of points (on the real line) and a collection of (real) intervals. Here, with each specified…

机器学习 · 计算机科学 2021-05-05 Siddharth Barman , Ramakrishnan Krishnamurthy , Saladi Rahul

We study the causal bandit problem when the causal graph is unknown and develop an efficient algorithm for finding the parent node of the reward node using atomic interventions. We derive the exact equation for the expected number of…

机器学习 · 统计学 2023-06-09 Mikhail Konobeev , Jalal Etesami , Negar Kiyavash

We consider a game in which a cop searches for a moving robber on a connected graph using distance probes, which is a slight variation on one introduced by Seager. Carragher, Choi, Delcourt, Erickson and West showed that for any $n$-vertex…

组合数学 · 数学 2017-11-23 John Haslegrave , Richard A. B. Johnson , Sebastian Koch

We consider the problem of human-assisted graph search: given a directed acyclic graph with some (unknown) target node(s), we consider the problem of finding the target node(s) by asking an omniscient human questions of the form "Is there a…

We introduce a novel variant of the multi-armed bandit problem, in which bandits are streamed one at a time to the player, and at each point, the player can either choose to pull the current bandit or move on to the next bandit. Once a…

人工智能 · 计算机科学 2017-07-18 Uma Roy , Ashwath Thirmulai , Joe Zurier

We study the decentralized multi-agent multi-armed bandit problem for agents that communicate with probability over a network defined by a $d$-regular graph. Every edge in the graph has probabilistic weight $p$ to account for the…

机器学习 · 统计学 2021-10-12 Udari Madhushani , Naomi Ehrich Leonard

We propose a novel score-based approach to learning a directed acyclic graph (DAG) from observational data. We adapt a recently proposed continuous constrained optimization formulation to allow for nonlinear relationships between variables…

机器学习 · 计算机科学 2020-02-19 Sébastien Lachapelle , Philippe Brouillard , Tristan Deleu , Simon Lacoste-Julien

In this paper, we present a communication-free algorithm for distributed coverage of an arbitrary network by a group of mobile agents with local sensing capabilities. The network is represented as a graph, and the agents are arbitrarily…

系统与控制 · 计算机科学 2016-02-01 A. Yasin Yazicioglu , Magnus Egerstedt , Jeff S. Shamma

Smooth functions on graphs have wide applications in manifold and semi-supervised learning. In this paper, we study a bandit problem where the payoffs of arms are smooth on a graph. This framework is suitable for solving online learning…

机器学习 · 统计学 2026-05-21 Tomáš Kocák , Michal Valko , Rémi Munos , Branislav Kveton , Shipra Agrawal