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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 bandit multiple hypothesis testing, each arm corresponds to a different null hypothesis that we wish to test, and the goal is to design adaptive algorithms that correctly identify large set of interesting arms (true discoveries), while…

机器学习 · 统计学 2021-11-18 Ziyu Xu , Ruodu Wang , Aaditya Ramdas

Bayesian inference allows us to define a posterior distribution over the weights of a generic neural network (NN). Exact posteriors are usually intractable, in which case approximations can be employed. One such approximation - variational…

机器学习 · 计算机科学 2026-01-30 Andrew Millard , Joshua Murphy , Peter Green , Simon Maskell

Parametric Bayesian modeling offers a powerful and flexible toolbox for machine learning. Yet the model, however detailed, may still be wrong, and this can make inferences untrustworthy. In this paper we introduce a new class of…

统计方法学 · 统计学 2026-04-03 Bohan Wu , Eli N. Weinstein , Sohrab Salehi , Yixin Wang , David M. Blei

This work investigates the sequential hypothesis testing problem with online sensor selection and sensor usage constraints. That is, in a sensor network, the fusion center sequentially acquires samples by selecting one "most informative"…

应用统计 · 统计学 2016-01-26 Shang Li , Xiaoou Li , Xiaodong Wang , Jingchen Liu

Quantifying the complexity and irregularity of time series data is a primary pursuit across various data-scientific disciplines. Sample entropy (SampEn) is a widely adopted metric for this purpose, but its reliability is sensitive to the…

应用统计 · 统计学 2024-05-13 Zachary Blanks , Donald E. Brown

We study an online resource-selection problem motivated by multi-radio access selection and mobile edge computing offloading. In each round, an agent chooses among $K$ candidate links/servers (arms) whose performance is a stochastic…

机器学习 · 计算机科学 2026-02-23 Ming Shi

Reinforcement learning studies how to balance exploration and exploitation in real-world systems, optimizing interactions with the world while simultaneously learning how the world operates. One general class of algorithms for such learning…

机器学习 · 统计学 2018-08-10 Iñigo Urteaga , Chris H. Wiggins

Calculation of Bayesian posteriors and model evidences typically requires numerical integration. Bayesian quadrature (BQ), a surrogate-model-based approach to numerical integration, is capable of superb sample efficiency, but its lack of…

机器学习 · 计算机科学 2023-04-11 Masaki Adachi , Satoshi Hayakawa , Martin Jørgensen , Harald Oberhauser , Michael A. Osborne

In this paper, we solve the arms exponential exploding issue in multivariate Multi-Armed Bandit (Multivariate-MAB) problem when the arm dimension hierarchy is considered. We propose a framework called path planning (TS-PP) which utilizes…

机器学习 · 计算机科学 2022-08-19 Keyu Nie , Zezhong Zhang , Ted Tao Yuan , Rong Song , Pauline Berry Burke

We give a risk-averse solution to the problem of estimating the reliability of a parallel-series system. We adopt a beta-binomial model for components reliabilities, and assume that the total sample size for the experience is fixed. The…

应用统计 · 统计学 2016-11-15 Zohra Benkamra , Mekki Terbeche , Mounir Tlemcani

Asynchronous Bayesian optimization is a recently implemented technique that allows for parallel operation of experimental systems and disjointed workflows. Contrasting with serial Bayesian optimization which individually selects experiments…

机器学习 · 计算机科学 2024-10-23 Amanda A. Volk , Kristofer G. Reyes , Jeffrey G. Ethier , Luke A. Baldwin

This paper presents a method called sampling-computation-optimization (SCO) to design batch Bayesian optimization. SCO does not construct new high-dimensional acquisition functions but samples from the existing one-site acquisition function…

最优化与控制 · 数学 2022-02-22 Kai Jia , Xiaojun Duan , Zhengming Wang , Liang Yan

We consider a variant of the best arm identification task in stochastic multi-armed bandits. Motivated by risk-averse decision-making problems, our goal is to identify a set of $m$ arms with the highest $\tau$-quantile values within a fixed…

机器学习 · 计算机科学 2023-02-22 Mengyan Zhang , Cheng Soon Ong

We study the problem of performing automated experiment design for drug screening through Bayesian inference and optimisation. In particular, we compare and contrast the behaviour of linear-Gaussian models and Gaussian processes, when used…

机器学习 · 计算机科学 2021-05-11 Hannes Eriksson , Christos Dimitrakakis , Lars Carlsson

Identifying cell clusters is a critical step for single-cell transcriptomics study. Despite the numerous clustering tools developed recently, the rapid growth of scRNA-seq volumes prompts for a more (computationally) efficient clustering…

定量方法 · 定量生物学 2023-01-11 Nana Wei , Yating Nie , Lin Liu , Xiaoqi Zheng , Hua-Jun Wu4

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

While the cost of sequencing genomes has decreased dramatically in recent years, this expense often remains non-trivial. Under a fixed budget, then, scientists face a natural trade-off between quantity and quality; they can spend resources…

统计方法学 · 统计学 2021-03-10 Lorenzo Masoero , Federico Camerlenghi , Stefano Favaro , Tamara Broderick

In sequential experiments, subjects become available for the study over a period of time, and covariates are often measured at the time of arrival. We consider the setting where the sample size is fixed but covariate values are unknown…

统计方法学 · 统计学 2020-05-28 Mia S. Tackney , David C. Woods , Ilya Shpitser

A key feature of sequential decision making under uncertainty is a need to balance between exploiting--choosing the best action according to the current knowledge, and exploring--obtaining information about values of other actions. The…

机器学习 · 计算机科学 2021-08-27 Dimitrije Markovic , Hrvoje Stojic , Sarah Schwoebel , Stefan J. Kiebel
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