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In this paper, we study sequential decision-making for maximizing the Sharpe ratio (SR) in a stochastic multi-armed bandit (MAB) setting. Unlike standard bandit formulations that maximize cumulative reward, SR optimization requires…

机器学习 · 计算机科学 2026-04-02 Mohammad Taha Shah , Sabrina Khurshid , Gourab Ghatak

We consider a novel stochastic multi-armed bandit problem called {\em good arm identification} (GAI), where a good arm is defined as an arm with expected reward greater than or equal to a given threshold. GAI is a pure-exploration problem…

The best arm identification problem requires identifying the best alternative (i.e., arm) in active experimentation using the smallest number of experiments (i.e., arm pulls), which is crucial for cost-efficient and timely decision-making…

机器学习 · 计算机科学 2025-06-17 Kapilan Balagopalan , Tuan Ngo Nguyen , Yao Zhao , Kwang-Sung Jun

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

We consider the problem of determining the top-$k$ largest measurements from a dataset distributed among a network of $n$ agents with noisy communication links. We show that this scenario can be cast as a distributed convex optimization…

分布式、并行与集群计算 · 计算机科学 2022-12-02 Xu Zhang , Marcos Vasconcelos

We investigate an active pure-exploration setting, that includes best-arm identification, in the context of linear stochastic bandits. While asymptotically optimal algorithms exist for standard multi-arm bandits, the existence of such…

机器学习 · 统计学 2020-07-03 Rémy Degenne , Pierre Ménard , Xuedong Shang , Michal Valko

This paper considers the problem of combinatorial multi-armed bandits with semi-bandit feedback and a cardinality constraint on the super-arm size. Existing algorithms for solving this problem typically involve two key sub-routines: (1) a…

机器学习 · 计算机科学 2025-08-14 Arpan Mukherjee , Shashanka Ubaru , Keerthiram Murugesan , Karthikeyan Shanmugam , Ali Tajer

Entropy maximization and free energy minimization are general physical principles for modeling the dynamics of various physical systems. Notable examples include modeling decision-making within the brain using the free-energy principle,…

Multi-armed bandit algorithms have been argued for decades as useful for adaptively randomized experiments. In such experiments, an algorithm varies which arms (e.g. alternative interventions to help students learn) are assigned to…

机器学习 · 计算机科学 2021-03-29 Joseph Jay Williams , Jacob Nogas , Nina Deliu , Hammad Shaikh , Sofia S. Villar , Audrey Durand , Anna Rafferty

We consider the fundamental problem of selecting $k$ out of $n$ random variables in a way that the expected highest or second-highest value is maximized. This question captures several applications where we have uncertainty about the…

计算机科学与博弈论 · 计算机科学 2020-12-16 Aranyak Mehta , Uri Nadav , Alexandros Psomas , Aviad Rubinstein

This work investigates the problem of best arm identification for multi-agent multi-armed bandits. We consider $N$ agents grouped into $M$ clusters, where each cluster solves a stochastic bandit problem. The mapping between agents and…

机器学习 · 计算机科学 2025-05-16 Yash , Nikhil Karamchandani , Avishek Ghosh

Fixed-budget best-arm identification (BAI) is a bandit problem where the agent maximizes the probability of identifying the optimal arm within a fixed budget of observations. In this work, we study this problem in the Bayesian setting. We…

机器学习 · 计算机科学 2023-06-16 Alexia Atsidakou , Sumeet Katariya , Sujay Sanghavi , Branislav Kveton

We study best arm identification in a federated multi-armed bandit setting with a central server and multiple clients, when each client has access to a {\em subset} of arms and each arm yields independent Gaussian observations. The goal is…

机器学习 · 计算机科学 2023-12-20 Zhirui Chen , P. N. Karthik , Vincent Y. F. Tan , Yeow Meng Chee

Thompson Sampling (TS) is one of the most effective algorithms for solving contextual multi-armed bandit problems. In this paper, we propose a new algorithm, called Neural Thompson Sampling, which adapts deep neural networks for both…

机器学习 · 计算机科学 2022-01-03 Weitong Zhang , Dongruo Zhou , Lihong Li , Quanquan Gu

We present a provably optimal differentially private algorithm for the stochastic multi-arm bandit problem, as opposed to the private analogue of the UCB-algorithm [Mishra and Thakurta, 2015; Tossou and Dimitrakakis, 2016] which doesn't…

机器学习 · 统计学 2019-05-24 Touqir Sajed , Or Sheffet

The dynamic allocation problem, also known as the `multi-armed bandit' problem, simulates a situation in which an agent is faced with a tradeoff between actions that yield an immediate reward and actions whose benefits can only be perceived…

概率论 · 数学 2026-02-03 Christopher Wang

This paper studies some basic problems in a multiple-object auction model using methodologies from theoretical computer science. We are especially concerned with situations where an adversary bidder knows the bidding algorithms of all the…

计算工程、金融与科学 · 计算机科学 2007-05-23 Ming-Yang Kao , Junfeng Qi , Lei Tan

Multi-dueling bandits, where a learner selects $m \geq 2$ arms per round and observes only the winner, arise naturally in many applications including ranking and recommendation systems, yet a fundamental question has remained open: can a…

机器学习 · 计算机科学 2026-05-19 S Akash , Pratik Gajane , Jawar Singh

We study $K$-armed bandit problems where the reward distributions of the arms are all supported on the $[0,1]$ interval. It has been a challenge to design regret-efficient randomized exploration algorithms in this setting. Maillard sampling…

机器学习 · 计算机科学 2024-04-15 Hao Qin , Kwang-Sung Jun , Chicheng Zhang

An application of software known as an Intrusion Detection System (IDS) employs machine algorithms to identify network intrusions. Selective logging, safeguarding privacy, reputation-based defense against numerous attacks, and dynamic…

密码学与安全 · 计算机科学 2025-06-24 Muhammad Zawad Mahmud , Samiha Islam , Shahran Rahman Alve , Al Jubayer Pial
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