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Online solvers for partially observable Markov decision processes have difficulty scaling to problems with large action spaces. This paper proposes a method called PA-POMCPOW to sample a subset of the action space that provides varying…

机器学习 · 计算机科学 2021-11-04 John Mern , Anil Yildiz , Larry Bush , Tapan Mukerji , Mykel J. Kochenderfer

In this paper, a novel distributed optimization framework has been proposed. The key idea is to convert optimization problems into optimal control problems where the objective of each agent is to design the current control input minimizing…

最优化与控制 · 数学 2025-04-01 Ziyuan Guo , Yue Sun , Yeming Xu , Liping Zhang , Huanshui Zhang

The shrinking rank method is a variation of slice sampling that is efficient at sampling from multivariate distributions with highly correlated parameters. It requires that the gradient of the log-density be computable. At each individual…

统计计算 · 统计学 2010-11-23 Madeleine B. Thompson , Radford M. Neal

The non-smooth finite-sum minimization is a fundamental problem in machine learning. This paper develops a distributed stochastic proximal-gradient algorithm with random reshuffling to solve the finite-sum minimization over time-varying…

最优化与控制 · 数学 2022-10-11 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen , Lihua Xie

The present study discuss the problem of estimating the finite population mean using auxiliary attribute in stratified random sampling. In this paper taking the advantage of point bi-serial correlation between the study variable and…

统计理论 · 数学 2014-08-13 Hemant K. Verma , Prayas Sharma , Rajesh Singh

The multiple knapsack problem (MKP) generalizes the classical knapsack problem by assigning items to multiple knapsacks subject to capacity constraints. It is used to model many real-world resource allocation and scheduling problems. In…

神经与进化计算 · 计算机科学 2026-04-14 Ishara Hewa Pathiranage , Aneta Neumann

Elliptical slice sampling, when adapted to linearly truncated multivariate normal distributions, is a rejection-free Markov chain Monte Carlo method. At its core, it requires analytically constructing an ellipse-polytope intersection. The…

机器学习 · 计算机科学 2024-07-16 Kaiwen Wu , Jacob R. Gardner

In most common settings of Markov Decision Process (MDP), an agent evaluate a policy based on expectation of (discounted) sum of rewards. However in many applications this criterion might not be suitable from two perspective: first, in risk…

人工智能 · 计算机科学 2017-05-11 Yan Li , Zhaohan Sun

In this paper, we study the problem of estimating uniformly well the mean values of several distributions given a finite budget of samples. If the variance of the distributions were known, one could design an optimal sampling strategy by…

Specifying a proper input distribution is often a challenging task in simulation modeling. In practice, there may be multiple plausible distributions that can fit the input data reasonably well, especially when the data volume is not large.…

统计方法学 · 统计学 2019-03-15 Weiwei Fan , L. Jeff Hong , Xiaowei Zhang

Feature attribution methods, or saliency maps, are one of the most popular approaches for explaining the decisions of complex machine learning models such as deep neural networks. In this study, we propose a stochastic optimization approach…

机器学习 · 统计学 2018-07-17 Kouichi Ikeno , Satoshi Hara

Balancing treatment allocation for influential covariates is critical in clinical trials. This has become increasingly important as more and more biomarkers are found to be associated with different diseases in translational research…

统计理论 · 数学 2012-10-18 Yanqing Hu , Feifang Hu

In a variety of domains, from robotics to finance, Quality-Diversity algorithms have been used to generate collections of both diverse and high-performing solutions. Multi-Objective Quality-Diversity algorithms have emerged as a promising…

人工智能 · 计算机科学 2026-02-03 Hannah Janmohamed , Maxence Faldor , Thomas Pierrot , Antoine Cully

This paper presents a methodology for using varying sample sizes in sequential quadratic programming (SQP) methods for solving equality constrained stochastic optimization problems. The first part of the paper deals with the delicate issue…

最优化与控制 · 数学 2023-03-23 Albert S. Berahas , Raghu Bollapragada , Baoyu Zhou

In parameter estimation problems one computes a posterior distribution over uncertain parameters defined jointly by a prior distribution, a model, and noisy data. Markov Chain Monte Carlo (MCMC) is often used for the numerical solution of…

The problem of optimally scaling the proposal distribution in a Markov chain Monte Carlo algorithm is critical to the quality of the generated samples. Much work has gone into obtaining such results for various Metropolis-Hastings (MH)…

统计计算 · 统计学 2022-02-07 Sanket Agrawal , Dootika Vats , Krzysztof Łatuszyński , Gareth O. Roberts

New crop varieties are extensively tested in multi-environment trials in order to obtain a solid empirical basis for recommendations to farmers. When the target population of environments is large and heterogeneous, a division into…

应用统计 · 统计学 2020-04-14 Maryna Prus , Hans-Peter Piepho

We consider the problem of estimating the mean of a random vector based on i.i.d. observations and adversarial contamination. We introduce a multivariate extension of the trimmed-mean estimator and show its optimal performance under minimal…

统计理论 · 数学 2020-02-25 Gabor Lugosi , Shahar Mendelson

Consider the problem of minimizing the expected value of a (possibly nonconvex) cost function parameterized by a random (vector) variable, when the expectation cannot be computed accurately (e.g., because the statistics of the random…

多智能体系统 · 计算机科学 2017-12-12 Yang Yang , Gesualdo Scutari , Daniel P. Palomar , Marius Pesavento

In the study of natural and artificial complex systems, responses that are not completely determined by the considered decision variables are commonly modelled probabilistically, resulting in response distributions varying across decision…

统计方法学 · 统计学 2021-10-07 Athénaïs Gautier , David Ginsbourger , Guillaume Pirot
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