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We study distributed multi-agent large-scale optimization problems, wherein the cost function is composed of a smooth possibly nonconvex sum-utility plus a DC (Difference-of-Convex) regularizer. We consider the scenario where the dimension…

分布式、并行与集群计算 · 计算机科学 2018-05-29 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

We provide a simple method to combine stochastic bandit algorithms. Our approach is based on a "meta-UCB" procedure that treats each of $N$ individual bandit algorithms as arms in a higher-level $N$-armed bandit problem that we solve with a…

机器学习 · 计算机科学 2020-12-25 Ashok Cutkosky , Abhimanyu Das , Manish Purohit

We propose a simple model selection approach for algorithms in stochastic bandit and reinforcement learning problems. As opposed to prior work that (implicitly) assumes knowledge of the optimal regret, we only require that each base…

机器学习 · 计算机科学 2020-12-25 Aldo Pacchiano , Christoph Dann , Claudio Gentile , Peter Bartlett

Motivated by concerns about making online decisions that incur undue amount of risk at each time step, in this paper, we formulate the probably anytime-safe stochastic combinatorial semi-bandits problem. In this problem, the agent is given…

机器学习 · 计算机科学 2023-06-05 Yunlong Hou , Vincent Y. F. Tan , Zixin Zhong

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

This paper considers distributed online nonconvex optimization with time-varying inequality constraints over a network of agents. For a time-varying graph, we propose a distributed online primal-dual algorithm with compressed communication…

最优化与控制 · 数学 2025-09-01 Kunpeng Zhang , Lei Xu , Xinlei Yi , Ming Cao , Karl H. Johansson , Tianyou Chai , Tao Yang

The multi-armed bandit (MAB) problem is a foundational framework in sequential decision-making under uncertainty, extensively studied for its applications in areas such as clinical trials, online advertising, and resource allocation.…

机器学习 · 计算机科学 2024-10-28 Ali Baheri

We study the regret in stochastic Multi-Armed Bandits (MAB) with multiple agents that communicate over an arbitrary connected communication graph. We analyzed a variant of Cooperative Successive Elimination algorithm, COOP-SE, and show an…

机器学习 · 计算机科学 2026-02-04 Idan Barnea , Tal Lancewicki , Yishay Mansour

We consider the problem of stochastic $K$-armed dueling bandit in the contextual setting, where at each round the learner is presented with a context set of $K$ items, each represented by a $d$-dimensional feature vector, and the goal of…

机器学习 · 计算机科学 2021-05-11 Aadirupa Saha , Aditya Gopalan

We study decentralized multi-agent multi-armed bandits in fully heavy-tailed settings, where clients communicate over sparse random graphs with heavy-tailed degree distributions and observe heavy-tailed (homogeneous or heterogeneous) reward…

机器学习 · 计算机科学 2025-02-03 Xingyu Wang , Mengfan Xu

Conversational contextual bandits elicit user preferences by occasionally querying for explicit feedback on key-terms to accelerate learning. However, there are aspects of existing approaches which limit their performance. First,…

机器学习 · 计算机科学 2023-10-03 Zhiyong Wang , Xutong Liu , Shuai Li , John C. S. Lui

We study linear bandits when the underlying reward function is not linear. Existing work relies on a uniform misspecification parameter $\epsilon$ that measures the sup-norm error of the best linear approximation. This results in an…

机器学习 · 计算机科学 2023-07-21 Chong Liu , Ming Yin , Yu-Xiang Wang

We study replicable algorithms for stochastic multi-armed bandits (MAB) and linear bandits with UCB (Upper Confidence Bound) based exploration. A bandit algorithm is $\rho$-replicable if two executions using shared internal randomness but…

机器学习 · 计算机科学 2026-04-23 Rohan Deb , Udaya Ghai , Karan Singh , Arindam Banerjee

We consider a stochastic multi-armed bandit setting and study the problem of constrained regret minimization over a given time horizon. Each arm is associated with an unknown, possibly multi-dimensional distribution, and the merit of an arm…

机器学习 · 计算机科学 2023-01-05 Anmol Kagrecha , Jayakrishnan Nair , Krishna Jagannathan

Motivated by wireless networks where interference or channel state estimates provide partial insight into throughput, we study a variant of the classical stochastic multi-armed bandit problem in which the learner has limited access to…

机器学习 · 计算机科学 2026-03-03 Arun Verma , Manjesh Kumar Hanawal , Arun Rajkumar

This paper presents a finite-time analysis of the KL-UCB algorithm, an online, horizon-free index policy for stochastic bandit problems. We prove two distinct results: first, for arbitrary bounded rewards, the KL-UCB algorithm satisfies a…

统计理论 · 数学 2013-08-30 Aurélien Garivier , Olivier Cappé

We tackle the problem of online reward maximisation over a large finite set of actions described by their contexts. We focus on the case when the number of actions is too big to sample all of them even once. However we assume that we have…

机器学习 · 计算机科学 2013-09-27 Michal Valko , Nathaniel Korda , Remi Munos , Ilias Flaounas , Nelo Cristianini

We study the performance guarantees of exploration-free greedy algorithms for the linear contextual bandit problem. We introduce a novel condition, named the \textit{Local Anti-Concentration} (LAC) condition, which enables a greedy bandit…

机器学习 · 统计学 2025-01-17 Seok-Jin Kim , Min-hwan Oh

In this paper, we introduce a distributed version of the classical stochastic Multi-Arm Bandit (MAB) problem. Our setting consists of a large number of agents $n$ that collaboratively and simultaneously solve the same instance of $K$ armed…

机器学习 · 计算机科学 2019-11-06 Abishek Sankararaman , Ayalvadi Ganesh , Sanjay Shakkottai

We consider a large number of agents collaborating on a multi-armed bandit problem with a large number of arms. The goal is to minimise the regret of each agent in a communication-constrained setting. We present a decentralised algorithm…

机器学习 · 计算机科学 2021-09-21 Conor Newton , Ayalvadi Ganesh , Henry W. J. Reeve