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For high-dimensional small sample size data, Hotelling's T2 test is not applicable for testing mean vectors due to the singularity problem in the sample covariance matrix. To overcome the problem, there are three main approaches in the…

Methodology · Statistics 2020-03-11 Zongliang Hu , Tiejun Tong , Marc G. Genton

In regression analysis, associations between continuous predictors and the outcome are often assumed to be linear. However, modeling the associations as non-linear can improve model fit. Many flexible modeling techniques, like (fractional)…

A key trait of stochastic optimizers is that multiple runs of the same optimizer in attempting to solve the same problem can produce different results. As a result, their performance is evaluated over several repeats, or runs, on the…

Machine Learning · Computer Science 2026-05-18 Moslem Noori , Elisabetta Valiante , Thomas Van Vaerenbergh , Masoud Mohseni , Ignacio Rozada

Algorithmic risk assessments are increasingly used to help humans make decisions in high-stakes settings, such as medicine, criminal justice and education. In each of these cases, the purpose of the risk assessment tool is to inform…

Machine Learning · Statistics 2020-01-13 Amanda Coston , Alan Mishler , Edward H. Kennedy , Alexandra Chouldechova

Multivariate change point detection is the process of identifying distributional shifts in time-ordered data across multiple features. This task is particularly challenging when the number of features is large relative to the number of…

Testing for the significance of a subset of regression coefficients in a linear model, a staple of statistical analysis, goes back at least to the work of Fisher who introduced the analysis of variance (ANOVA). We study this problem under…

Statistics Theory · Mathematics 2012-02-24 Ery Arias-Castro , Emmanuel J. Candès , Yaniv Plan

Prediction performance does not always reflect the estimation behaviour of a method. High error in estimation may necessarily not result in high prediction error, but can lead to an unreliable prediction if test data lie in a slightly…

Applications · Statistics 2020-09-22 Raju Rimal , Trygve Almøy , Solve Sæbø

Psychological research often focuses on examining group differences in a set of numeric variables for which normality is doubtful. Longitudinal studies enable the investigation of developmental trends. For instance, a recent study…

Applications · Statistics 2023-10-05 Ricarda Graf , Marina Zeldovich , Sarah Friedrich

For multivariate nonparametric regression, functional analysis-of-variance (ANOVA) modeling aims to capture the relationship between a response and covariates by decomposing the unknown function into various components, representing main…

Methodology · Statistics 2019-06-20 Ting Yang , Zhiqiang Tan

Context: There is considerable diversity in the range and design of computational experiments to assess classifiers for software defect prediction. This is particularly so, regarding the choice of classifier performance metrics.…

Software Engineering · Computer Science 2020-03-04 Jingxiu Yao , Martin Shepperd

Multi-sensor data that track system operating behaviors are widely available nowadays from various engineering systems. Measurements from each sensor over time form a curve and can be viewed as functional data. Clustering of these…

Methodology · Statistics 2024-01-08 Zhongnan Jin , Jie Min , Yili Hong , Pang Du , Qingyu Yang

Various approaches to gene selection for cancer classification based on microarray data can be found in the literature and they may be grouped into two categories: univariate methods and multivariate methods. Univariate methods look at each…

Quantitative Methods · Quantitative Biology 2015-06-18 Min Xu , Rudy Setiono

We introduce a set of resampling-based methods for quantifying uncertainty and statistical precision of evaluation metrics in multilingual and/or multitask NLP benchmarks. We show how experimental variation in performance scores arises from…

Computation and Language · Computer Science 2025-12-19 Jonne Sälevä , Duygu Ataman , Constantine Lignos

Asymmetric causality tests are increasingly gaining popularity in different scientific fields. This approach corresponds better to reality since logical reasons behind asymmetric behavior exist and need to be considered in empirical…

Econometrics · Economics 2024-10-10 Abdulnasser Hatemi-J

Incomplete data are common in practical applications. Most predictive machine learning models do not handle missing values so they require some preprocessing. Although many algorithms are used for data imputation, we do not understand the…

Machine Learning · Statistics 2020-07-07 Katarzyna Woźnica , Przemysław Biecek

Quantifying the similarity of two or more datasets has widespread applications in statistics and machine learning. The method choice is, however, difficult due to the abundance of proposed methods and the lack of neutral comparison studies,…

Methodology · Statistics 2026-04-14 Marieke Stolte , Jörg Rahnenführer , Andrea Bommert

As counterfactual examples become increasingly popular for explaining decisions of deep learning models, it is essential to understand what properties quantitative evaluation metrics do capture and equally important what they do not…

Machine Learning · Computer Science 2021-11-02 Frederik Hvilshøj , Alexandros Iosifidis , Ira Assent

Multi-label classification deals with the problem where each instance is associated with multiple class labels. Because evaluation in multi-label classification is more complicated than single-label setting, a number of performance measures…

Machine Learning · Computer Science 2020-07-07 Xi-Zhu Wu , Zhi-Hua Zhou

Multivariate normal mixtures provide a flexible model for high-dimensional data. They are widely used in statistical genetics, statistical finance, and other disciplines. Due to the unboundedness of the likelihood function, classical…

Statistics Theory · Mathematics 2008-05-27 Jiahua Chen , Xianming Tan

The higher criticism of a family of tests starts with the individual uncorrected p-values of each test. It then requires a procedure for deciding whether the collection of p-values indicates the presence of a real effect and if possible…

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