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Knowledge gradient is a design principle for developing Bayesian sequential sampling policies to solve optimization problems. In this paper we consider the ranking and selection problem in the presence of covariates, where the best…

统计理论 · 数学 2022-01-17 Liang Ding , L. Jeff Hong , Haihui Shen , Xiaowei Zhang

Bayesian optimization is a sequential decision making framework for optimizing expensive-to-evaluate black-box functions. Computing a full lookahead policy amounts to solving a highly intractable stochastic dynamic program. Myopic…

机器学习 · 计算机科学 2020-06-30 Shali Jiang , Daniel R. Jiang , Maximilian Balandat , Brian Karrer , Jacob R. Gardner , Roman Garnett

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

定量方法 · 定量生物学 2010-01-20 Tina Toni , Michael P. H. Stumpf

We report on an empirical study of the main strategies for quantile regression in the context of stochastic computer experiments. To ensure adequate diversity, six metamodels are presented, divided into three categories based on order…

机器学习 · 统计学 2020-01-22 Léonard Torossian , Victor Picheny , Robert Faivre , Aurélien Garivier

We consider a simulation optimization problem for a context-dependent decision-making, which aims to determine the top-m designs for all contexts. Under a Bayesian framework, we formulate the optimal dynamic sampling decision as a…

机器学习 · 统计学 2023-06-12 Gongbo Zhang , Sihua Chen , Kuihua Huang , Yijie Peng

The Greedy algorithm is the simplest heuristic in sequential decision problem that carelessly takes the locally optimal choice at each round, disregarding any advantages of exploring and/or information gathering. Theoretically, it is known…

机器学习 · 计算机科学 2021-01-05 Matthieu Jedor , Jonathan Louëdec , Vianney Perchet

In the stochastic linear contextual bandit setting there exist several minimax procedures for exploration with policies that are reactive to the data being acquired. In practice, there can be a significant engineering overhead to deploy…

机器学习 · 计算机科学 2021-07-26 Andrea Zanette , Kefan Dong , Jonathan Lee , Emma Brunskill

Adjustable hyperparameters of machine learning models typically impact various key trade-offs such as accuracy, fairness, robustness, or inference cost. Our goal in this paper is to find a configuration that adheres to user-specified limits…

机器学习 · 计算机科学 2023-12-05 Bracha Laufer-Goldshtein , Adam Fisch , Regina Barzilay , Tommi Jaakkola

A framework previously introduced in [3] for solving a sequence of stochastic optimization problems with bounded changes in the minimizers is extended and applied to machine learning problems such as regression and classification. The…

机器学习 · 计算机科学 2019-04-08 Craig Wilson , Yuheng Bu , Venugopal Veeravalli

Contextual multi-armed bandits are a popular choice to model sequential decision-making. E.g., in a healthcare application we may perform various tests to asses a patient condition (exploration) and then decide on the best treatment to give…

机器学习 · 计算机科学 2025-04-08 Mirco Mutti , Jeongyeol Kwon , Shie Mannor , Aviv Tamar

Meta-, multi-task, and federated learning can be all viewed as solving similar tasks, drawn from a distribution that reflects task similarities. We provide a unified view of all these problems, as learning to act in a hierarchical Bayesian…

机器学习 · 计算机科学 2022-03-08 Joey Hong , Branislav Kveton , Manzil Zaheer , Mohammad Ghavamzadeh

In this paper, we consider a best action identification problem in the stochastic linear bandit setup with a fixed confident constraint. In the considered best action identification problem, instead of minimizing the accumulative regret as…

机器学习 · 计算机科学 2018-12-04 Jun Geng , Lifeng Lai

This thesis considers sequential decision problems, where the loss/reward incurred by selecting an action may not be inferred from observed feedback. A major part of this thesis focuses on the unsupervised sequential selection problem,…

机器学习 · 计算机科学 2022-12-23 Arun Verma

Optimization via simulation has been well established to find optimal solutions and designs in complex systems. However, it still faces modeling and computational challenges when extended to the multi-stage setting. This survey reviews the…

最优化与控制 · 数学 2023-12-08 Zhuo Zhang , Dan Wang , Haoxiang Yang , Shubin Si

Monte Carlo Exploring Starts (MCES), which aims to learn the optimal policy using only sample returns, is a simple and natural algorithm in reinforcement learning which has been shown to converge under various conditions. However, the…

机器学习 · 计算机科学 2024-10-07 Suei-Wen Chen , Keith Ross , Pierre Youssef

This research considers the ranking and selection with input uncertainty. The objective is to maximize the posterior probability of correctly selecting the best alternative under a fixed simulation budget, where each alternative is measured…

最优化与控制 · 数学 2023-05-15 Hui Xiao , Zhihong Wei

Ensembles are popular methods for solving practical supervised learning problems. They reduce the risk of having underperforming models in production-grade software. Although critical, methods for learning heterogeneous regression ensembles…

机器学习 · 计算机科学 2018-04-18 Jihed Khiari , Luis Moreira-Matias , Ammar Shaker , Bernard Zenko , Saso Dzeroski

We address the problem of finding the maximizer of a nonlinear smooth function, that can only be evaluated point-wise, subject to constraints on the number of permitted function evaluations. This problem is also known as fixed-budget best…

机器学习 · 统计学 2013-11-12 Matthew W. Hoffman , Bobak Shahriari , Nando de Freitas

Data clustering, including problems such as finding network communities, can be put into a systematic framework by means of a Bayesian approach. The application of Bayesian approaches to real problems can be, however, quite challenging. In…

数据分析、统计与概率 · 物理学 2008-09-28 Alexei Vazquez

Meta-Learning is a family of methods that use a set of interrelated tasks to learn a model that can quickly learn a new query task from a possibly small contextual dataset. In this study, we use a probabilistic framework to formalize what…

机器学习 · 统计学 2020-06-03 Shin-ichi Maeda , Toshiki Nakanishi , Masanori Koyama