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We study random designs that minimize the asymptotic variance of a de-biased lasso estimator when a large pool of unlabeled data is available but measuring the corresponding responses is costly. The optimal sampling distribution arises as…

统计理论 · 数学 2020-10-27 Hamid Eftekhari , Moulinath Banerjee , Ya'acov Ritov

Machine learning and statistical tools are applied to identify how parameters, such as temperature, influence peak stress and ice behavior. To enable the analysis, a common and small scale experimental data base is established.

To design Bayesian studies, criteria for the operating characteristics of posterior analyses - such as power and the type I error rate - are often assessed by estimating sampling distributions of posterior probabilities via simulation. In…

统计方法学 · 统计学 2025-03-17 Luke Hagar , Nathaniel T. Stevens

Observational studies often benefit from an abundance of observational units. This can lead to studies that -- while challenged by issues of internal validity -- have inferences derived from sample sizes substantially larger than randomized…

统计方法学 · 统计学 2020-08-24 Rachael C. Aikens , Dylan Greaves , Michael Baiocchi

Feedback can be utilized to convert information into useful work, making it an effective tool for increasing the performance of thermodynamic engines. Using feedback reversibility as a guiding principle, we devise a method for designing…

统计力学 · 物理学 2015-06-03 Jordan M. Horowitz , Juan M. R. Parrondo

Several authors have hypothesized that ecological systems are subject to thermodynamic optimization, which, if proven correct, could represent a long sought general principle of organization in ecology. Although there have been recent…

定量方法 · 定量生物学 2011-11-09 Santiago R. Doyle , Florencia Carusela , Sebastián Guala , Fernando Momo

We typically construct optimal designs based on a single objective function. To better capture the breadth of an experiment's goals, we could instead construct a multiple objective optimal design based on multiple objective functions. While…

统计方法学 · 统计学 2023-03-09 Lucy L. Gao , Jane J. Ye , Shangzhi Zeng , Julie Zhou

We consider the utilization of a computational model to guide the optimal acquisition of experimental data to inform the stochastic description of model input parameters. Our formulation is based on the recently developed consistent…

统计计算 · 统计学 2021-05-04 Scott N. Walsh , Tim M. Wildey , John D. Jakeman

The increasing recognition of the association between adverse human health conditions and many environmental substances as well as processes has led to the need to monitor them. An important problem that arises in environmental statistics…

应用统计 · 统计学 2020-02-05 Yu Wang , Nhu D. Le , James V. Zidek

We consider the optimal experimental design problem of allocating subjects to treatment or control when subjects participate in multiple, separate controlled experiments within a short time-frame and subject covariate information is…

统计方法学 · 统计学 2024-12-16 William Fisher , Qiong Zhang , Lulu Kang , Xinwei Deng

Background: Adaptive interventions provide a guide for using ongoing information about individuals to decide whether and how to modify the type, amount, delivery modality, or timing of treatment, to improve intervention effectiveness while…

统计方法学 · 统计学 2026-03-12 John J. Dziak , Inbal Nahum-Shani

We review a series of experimental studies of the thermodynamics of nonequilibrium processes at the microscale. In particular, in these experiments we studied the fluctuations of the thermodynamic properties of a single optically-trapped…

统计力学 · 物理学 2016-06-22 L. Dinis , I. A. Martínez , É. Roldán , J. M. R. Parrondo , R. A. Rica

Using Bayesian experimental design techniques, we have shown that for a single two-level quantum mechanical system under strong (projective) measurement, the dynamical parameters of a model Hamiltonian can be estimated with exponentially…

量子物理 · 物理学 2012-06-05 Christopher Ferrie , Christopher E. Granade , D. G. Cory

The human microbiome is a complex ecological system, and describing its structure and function under different environmental conditions is important from both basic scientific and medical perspectives. Viewed through a biostatistical lens,…

应用统计 · 统计学 2017-11-17 Kris Sankaran , Susan P. Holmes

We consider optimal designs for general multinomial logistic models, which cover baseline-category, cumulative, adjacent-categories, and continuation-ratio logit models, with proportional odds, non-proportional odds, or partial proportional…

统计理论 · 数学 2019-02-19 Xianwei Bu , Dibyen Majumdar , Jie Yang

This article aims to study efficient/trace optimal designs for crossover trials with multiple responses recorded from each subject in the time periods. A multivariate fixed effects model is proposed with direct and carryover effects…

统计方法学 · 统计学 2024-06-04 Shubham Niphadkar , Siuli Mukhopadhyay

We consider the problem of computing optimal experimental design on a finite design space with respect to a compound Bayes risk criterion, which includes the linear criterion for prediction in a random coefficient regression model. We show…

统计计算 · 统计学 2017-09-08 Radoslav Harman , Maryna Prus

We propose a general methodology of sequential locally optimal design of experiments for explicit or implicit nonlinear models, as they abound in chemical engineering and, in particular, in vapor-liquid equilibrium modeling. As a sequential…

最优化与控制 · 数学 2024-03-15 Martin Bubel , Jochen Schmid , Volodymyr Kozachynskyi , Erik Esche , Michael Bortz

We give an overview over the usefulness of the concept of equivariance and invariance in the design of experiments for generalized linear models. In contrast to linear models here pairs of transformations have to be considered which act…

统计理论 · 数学 2020-11-20 Osama Idais , Rainer Schwabe

The optimal selection of experimental conditions is essential to maximizing the value of data for inference and prediction, particularly in situations where experiments are time-consuming and expensive to conduct. We propose a general…

机器学习 · 统计学 2012-12-04 Xun Huan , Youssef M. Marzouk