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Sequential decision-making is central to sustainable agricultural management and precision agriculture, where resource inputs must be optimized under uncertainty and over time. However, such decisions must often be made with limited…

Machine Learning · Statistics 2026-02-24 Sakshi Arya , Wentao Lin

We present a novel preference learning framework to capture participant preferences efficiently within limited interaction rounds. It involves three main contributions. First, we develop a variational Bayesian approach to infer the…

Machine Learning · Computer Science 2025-03-20 Yan Wang , Jiapeng Liu , Milosz Kadziński , Xiuwu Liao

The celebrated multi-armed bandit problem in decision theory models the basic trade-off between exploration, or learning about the state of a system, and exploitation, or utilizing the system. In this paper we study the variant of the…

Data Structures and Algorithms · Computer Science 2013-06-19 Sudipto Guha , Kamesh Munagala

We study the Bandit Clustering (BC) problem under the fixed confidence setting, where the objective is to group a collection of data sequences (arms) into clusters through sequential sampling from adaptively selected arms at each time step…

Machine Learning · Computer Science 2026-01-15 G Dhinesh Chandran , Kota Srinivas Reddy , Srikrishna Bhashyam

We introduce an approach aimed at enhancing the reasoning capabilities of Large Language Models (LLMs) through an iterative preference learning process inspired by the successful strategy employed by AlphaZero. Our work leverages Monte…

Artificial Intelligence · Computer Science 2024-06-19 Yuxi Xie , Anirudh Goyal , Wenyue Zheng , Min-Yen Kan , Timothy P. Lillicrap , Kenji Kawaguchi , Michael Shieh

Bayesian optimization is a sample-efficient approach to global optimization that relies on theoretically motivated value heuristics (acquisition functions) to guide its search process. Fully maximizing acquisition functions produces the…

Machine Learning · Statistics 2018-12-04 James T. Wilson , Frank Hutter , Marc Peter Deisenroth

Recently, it has been shown how sampling actions from the predictive distribution over the optimal action-sometimes called Thompson sampling-can be applied to solve sequential adaptive control problems, when the optimal policy is known for…

Artificial Intelligence · Computer Science 2014-09-24 Pedro A. Ortega , Daniel A. Braun

Stochastic approximation Monte Carlo (SAMC) has recently been proposed by Liang, Liu and Carroll [J. Amer. Statist. Assoc. 102 (2007) 305--320] as a general simulation and optimization algorithm. In this paper, we propose to improve its…

Statistics Theory · Mathematics 2009-08-26 Faming Liang

Taking advantage of contextual information can potentially boost the performance of recommender systems. In the era of big data, such side information often has several dimensions. Thus, developing decision-making algorithms to cope with…

Machine Learning · Computer Science 2023-07-26 Saeed Ghoorchian , Evgenii Kortukov , Setareh Maghsudi

An identification is found between meta-learning and the problem of determining the ground state of a randomly generated Hamiltonian drawn from a known ensemble. A model-agnostic meta-learning approach is proposed to solve the associated…

Quantum Physics · Physics 2020-11-24 Tianchen Zhao , James Stokes , Oliver Knitter , Brian Chen , Shravan Veerapaneni

A novel procedure is described for accelerating the convergence of Markov chain Monte Carlo computations. The algorithm uses an adaptive bootstrap technique to generate candidate steps in the Markov Chain. It is efficient for symmetric,…

Numerical Analysis · Computer Science 2010-12-13 Greg Kochanski , Burton S. Rosner

We study the sequential batch learning problem in linear contextual bandits with finite action sets, where the decision maker is constrained to split incoming individuals into (at most) a fixed number of batches and can only observe…

Machine Learning · Computer Science 2020-04-15 Yanjun Han , Zhengqing Zhou , Zhengyuan Zhou , Jose Blanchet , Peter W. Glynn , Yinyu Ye

We leverage multilevel Monte Carlo (MLMC) to improve the performance of multi-step look-ahead Bayesian optimization (BO) methods that involve nested expectations and maximizations. Often these expectations must be computed by Monte Carlo…

We consider a multi-hypothesis testing problem involving a K-armed bandit. Each arm's signal follows a distribution from a vector exponential family. The actual parameters of the arms are unknown to the decision maker. The decision maker…

Information Theory · Computer Science 2022-06-13 Gayathri R Prabhu , Srikrishna Bhashyam , Aditya Gopalan , Rajesh Sundaresan

Algorithms for hyperparameter optimization abound, all of which work well under different and often unverifiable assumptions. Motivated by the general challenge of sequentially choosing which algorithm to use, we study the more specific…

Machine Learning · Statistics 2016-04-12 Robert Nishihara , David Lopez-Paz , Léon Bottou

A core challenge of evolutionary search is the need to balance between exploration of the search space and exploitation of highly fit regions. Quality-diversity search has explicitly walked this tightrope between a population's diversity…

Neural and Evolutionary Computing · Computer Science 2021-04-20 Konstantinos Sfikas , Antonios Liapis , Georgios N. Yannakakis

We consider model selection in stochastic bandit and reinforcement learning problems. Given a set of base learning algorithms, an effective model selection strategy adapts to the best learning algorithm in an online fashion. We show that by…

Machine Learning · Computer Science 2020-06-11 Yasin Abbasi-Yadkori , Aldo Pacchiano , My Phan

Active learning methods have shown great promise in reducing the number of samples necessary for learning. As automated learning systems are adopted into real-time, real-world decision-making pipelines, it is increasingly important that…

Machine Learning · Computer Science 2022-06-23 Romain Camilleri , Andrew Wagenmaker , Jamie Morgenstern , Lalit Jain , Kevin Jamieson

Subset selection in multiple linear regression aims to choose a subset of candidate explanatory variables that tradeoff fitting error (explanatory power) and model complexity (number of variables selected). We build mathematical programming…

Machine Learning · Statistics 2020-09-04 Young Woong Park , Diego Klabjan

Motivated by problems of learning to rank long item sequences, we introduce a variant of the cascading bandit model that considers flexible length sequences with varying rewards and losses. We formulate two generative models for this…

Machine Learning · Computer Science 2022-09-05 Anirban Santara , Claudio Gentile , Gaurav Aggarwal , Shuai Li
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