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A small n, sequential, multiple assignment, randomized trial (snSMART) is a small sample, two-stage design where participants receive up to two treatments sequentially, but the second treatment depends on response to the first treatment.…

统计方法学 · 统计学 2020-12-14 Yan-Cheng Chao , Thomas M. Braun , Roy N. Tamura , Kelley M. Kidwell

Cluster randomized trials (CRTs) randomly assign an intervention to groups of individuals (e.g., clinics or communities) and measure outcomes on individuals in those groups. While offering many advantages, this experimental design…

We introduce a mini-batch stochastic variance-reduced algorithm to solve finite-sum scale invariant problems which cover several examples in machine learning and statistics such as principal component analysis (PCA) and estimation of…

最优化与控制 · 数学 2023-04-25 Cheolmin Kim , Youngseok Kim , Diego Klabjan

Data clustering is an instrumental tool in the area of energy resource management. One problem with conventional clustering is that it does not take the final use of the clustered data into account, which may lead to a very suboptimal use…

机器学习 · 计算机科学 2021-06-03 Chao Zhang , Samson Lasaulce , Martin Hennebel , Lucas Saludjian , Patrick Panciatici , H. Vincent Poor

Estimating the number of clusters (K) is a critical and often difficult task in cluster analysis. Many methods have been proposed to estimate K, including some top performers using resampling approach. When performing cluster analysis in…

统计方法学 · 统计学 2019-09-05 Yujia Li , Xiangrui Zeng , Chien-Wei Lin , George Tseng

Modern randomization methods in clinical trials are invariably adaptive, meaning that the assignment of the next subject to a treatment group uses the accumulated information in the trial. Some of the recent adaptive randomization methods…

统计方法学 · 统计学 2024-02-12 Alan R. Vazquez , Weng Kee Wong

Clustering samples according to an effective metric and/or vector space representation is a challenging unsupervised learning task with a wide spectrum of applications. Among several clustering algorithms, k-means and its kernelized version…

分布式、并行与集群计算 · 计算机科学 2017-10-10 Marco Jacopo Ferrarotti , Sergio Decherchi , Walter Rocchia

Stepped wedge cluster randomized trials (SW-CRTs) with binary outcomes are increasingly used in prevention and implementation studies. Marginal models represent a flexible tool for analyzing SW-CRTs with population-averaged interpretations,…

统计方法学 · 统计学 2021-01-05 Fan Li , Hengshi Yu , Paul J. Rathouz , Elizabeth L. Turner , John S. Preisser

While most treatment evaluations focus on binary interventions, a growing literature also considers continuously distributed treatments. We propose a Cram\'{e}r-von Mises-type test for testing whether the mean potential outcome given a…

计量经济学 · 经济学 2022-08-30 Yu-Chin Hsu , Martin Huber , Ying-Ying Lee , Chu-An Liu

Statistical power is often a concern for clustered RCTs due to variance inflation from design effects and the high cost of adding study clusters (such as hospitals, schools, or communities). While covariate pre-specification is the…

统计方法学 · 统计学 2020-05-07 Peter Z. Schochet

Longitudinal studies are often conducted to explore the cohort and age effects in many scientific areas. The within cluster correlation structure plays a very important role in longitudinal data analysis. This is because not only can an…

统计理论 · 数学 2008-12-18 Yan Sun , Wenyang Zhang , Howell Tong

Dose optimization in oncology clinical trials has shifted from seeking the maximum tolerated dose to identifying the Optimal Biological Dose (OBD) that balances therapeutic benefits and risks across multiple clinical attributes. Existing…

统计方法学 · 统计学 2025-05-07 Fanni Zhang , Kristine Broglio , Michael Sweeting , Gina D'Angelo

In this work, the possibility of clustering correlated random variables was examined, both because of their mutual similarity and because of their similarity to the principal components. The k-means algorithm and spectral algorithms were…

机器学习 · 计算机科学 2019-09-10 Zenon Gniazdowski , Dawid Kaliszewski

Causal effects are often characterized with population summaries. These might provide an incomplete picture when there are heterogeneous treatment effects across subgroups. Since the subgroup structure is typically unknown, it is more…

统计方法学 · 统计学 2026-04-07 Kwangho Kim , Jisu Kim , Edward H. Kennedy

In this work we present a coupled-cluster theory for the propagation of multireference electronic systems initiating at general quantum mechanical states. Our formalism is based on the infinitesimal analysis of modified cluster operators,…

化学物理 · 物理学 2025-05-09 Martín A. Mosquera

Coupled cluster theory is a vital cornerstone of electronic structure theory and is being applied to ever-larger systems. Stochastic approaches to quantum chemistry have grown in importance and offer compelling advantages over traditional…

In cancer research, clustering techniques are widely used for exploratory analyses and dimensionality reduction, playing a critical role in the identification of novel cancer subtypes, often with direct implications for patient management.…

统计方法学 · 统计学 2023-05-11 Lorenzo Masoero , Emma Thomas , Giovanni Parmigiani , Svitlana Tyekucheva , Lorenzo Trippa

Dynamic model reduction in power systems is necessary for improving computational efficiency. Traditional model reduction using linearized models or online analysis is not adequate to capture dynamic behaviors of the power system,…

This paper investigates the theoretical foundation and develops analytical formulas for sample size and power calculations for causal inference with observational data. By analyzing the variance of an inverse probability weighting estimator…

统计方法学 · 统计学 2026-05-19 Bo Liu , Chengxin Yang , Fan Li

A clustered adaptive intervention (cAI) is a pre-specified sequence of decision rules that guides practitioners on how best - and based on which measures - to tailor cluster-level intervention to improve outcomes at the level of individuals…

统计方法学 · 统计学 2025-05-05 Yao Song , Kelly Speth , Amy Kilbourne , Andrew Quanbeck , Daniel Almirall , Lu Wang