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Although distance measures are used in many machine learning algorithms, the literature on the context-independent selection and evaluation of distance measures is limited in the sense that prior knowledge is used. In cluster analysis,…

机器学习 · 计算机科学 2021-08-24 Michael C. Thrun

Regression models, where the response variable is circular, are common in areas such as biology, geology and meteorology. A typical model assumes that the conditional distribution of the response follows a von-Mises distribution. However,…

统计方法学 · 统计学 2026-01-12 Sphiwe B. Skhosana , Najmeh Nakhaei Rad

We consider planning longitudinal covariate measurements in follow-up studies where covariates are time-varying. We assume that the entire cohort cannot be selected for longitudinal measurements due to financial limitations and study how a…

统计方法学 · 统计学 2024-07-03 Jaakko Reinikainen , Juha Karvanen

Before embarking on data collection, researchers typically compute how many individual observations they should do. This is vital for doing studies with sufficient statistical power, and often a cornerstone in study pre-registrations and…

统计方法学 · 统计学 2023-09-06 Edwin S Dalmaijer

Mixture models are often used to identify meaningful subpopulations (i.e., clusters) in observed data such that the subpopulations have a real-world interpretation (e.g., as cell types). However, when used for subpopulation discovery,…

统计方法学 · 统计学 2024-03-04 Jiawei Li , Jonathan H. Huggins

A basic feature of many field experiments is that investigators are only able to randomize clusters of individuals--such as households, communities, firms, medical practices, schools or classrooms--even when the individual is the unit of…

统计方法学 · 统计学 2009-10-21 Kosuke Imai , Gary King , Clayton Nall

Mixture model-based frameworks are very popular for statistical inference in clustering. While convenient for producing probabilistic estimates of cluster assignments and uncertainty, they are prone to misspecification, which can lead to…

统计理论 · 数学 2026-05-15 Yu Zheng , Leo L. Duan , Arkaprava Roy

We consider the sequential experimental design problem in the predict-then-optimize paradigm. In this paradigm, the outputs of the prediction model are used as coefficient vectors in a downstream linear optimization problem. Traditional…

机器学习 · 统计学 2026-02-06 Beichen Wan , Mo Liu , Paul Grigas , Zuo-Jun Max Shen

In group sequential designs, where several data looks are conducted for early stopping, we generally assume the vector of test statistics from the sequential analyses follows (at least approximately or asymptotially) a multivariate normal…

统计理论 · 数学 2024-04-22 Long-Hao Xu , Tobias Mütze , Frank Konietschke , Tim Friede

An approach to improve neural network interpretability is via clusterability, i.e., splitting a model into disjoint clusters that can be studied independently. We define a measure for clusterability and show that pre-trained models form…

机器学习 · 计算机科学 2025-07-28 Satvik Golechha , Maheep Chaudhary , Joan Velja , Alessandro Abate , Nandi Schoots

Recent hardware developments have dramatically increased the scale of data parallelism available for neural network training. Among the simplest ways to harness next-generation hardware is to increase the batch size in standard mini-batch…

Split-plot or repeated measures designs are frequently used for planning experiments in the life or social sciences. Typical examples include the comparison of different treatments over time, where both factors may possess an additional…

统计理论 · 数学 2017-10-13 Maria Umlauft , Marius Placzek , Frank Konietschke , Markus Pauly

We consider the problem of model-based clustering in the presence of many correlated, mixed continuous and discrete variables, some of which may have missing values. Discrete variables are treated with a latent continuous variable approach…

The purpose of this paper is to investigate and develop methods for analysis of multi-center randomized clinical trials which only rely on the randomization process as a basis of inference. Our motivation is prompted by the fact that most…

应用统计 · 统计学 2008-07-28 Lu Zheng , Marvin Zelen

We examine study designs for extending (generalizing or transporting) causal inferences from a randomized trial to a target population. Specifically, we consider nested trial designs, where randomized individuals are nested within a sample…

External controls (ECs) from historical trials or real-world data have gained increasing attention as a way to augment hybrid and single-arm trials, especially when balanced randomization is infeasible. While most existing work has focused…

统计方法学 · 统计学 2025-12-15 Yujing Gao , Xiang Zhang , Shu Yang

Linear mixed models are widely used for analyzing hierarchically structured data involving missingness and unbalanced study designs. We consider a Bayesian clustering method that combines linear mixed models and predictive projections. For…

统计方法学 · 统计学 2021-07-07 Yinan Mao , David J. Nott

Model-based clustering is a powerful tool that is often used to discover hidden structure in data by grouping observational units that exhibit similar response values. Recently, clustering methods have been developed that permit…

统计方法学 · 统计学 2025-06-24 Sally Paganin , Garritt L. Page , Fernando Andrés Quintana

In social and economic studies many of the collected variables are measured on a nominal scale, often with a large number of categories. The definition of categories is usually not unambiguous and different classification schemes using…

统计方法学 · 统计学 2017-03-23 Gertraud Malsiner-Walli , Daniela Pauger , Helga Wagner

Restricting randomization in the design of experiments (e.g., using blocking/stratification, pair-wise matching, or rerandomization) can improve the treatment-control balance on important covariates and therefore improve the estimation of…

计量经济学 · 经济学 2020-11-02 Brian Quistorff , Gentry Johnson