An overview of tests on high-dimensional means

Y Huang, C Li, R Li, S Yang - Journal of Multivariate Analysis, 2022 - Elsevier
Testing high-dimensional means has many applications in scientific research. For instance,
it is of great interest to test whether there is a difference of gene expressions between control …

Adaptive uncertainty estimation via high-dimensional testing on latent representations

TH Chan, KW Lau, J Shen, G Yin… - Advances in Neural …, 2024 - proceedings.neurips.cc
Uncertainty estimation aims to evaluate the confidence of a trained deep neural network.
However, existing uncertainty estimation approaches rely on low-dimensional distributional …

Recent developments in high-dimensional inference for multivariate data: Parametric, semiparametric and nonparametric approaches

SW Harrar, X Kong - Journal of Multivariate Analysis, 2022 - Elsevier
In this paper, we give the most current account of methods for comparison of populations or
treatment groups with high-dimensional data. We conveniently group the methods into three …

Meta-Learning with Generalized Ridge Regression: High-dimensional Asymptotics, Optimality and Hyper-covariance Estimation

Y Jin, K Balasubramanian, D Paul - arXiv preprint arXiv:2403.19720, 2024 - arxiv.org
Meta-learning involves training models on a variety of training tasks in a way that enables
them to generalize well on new, unseen test tasks. In this work, we consider meta-learning …

Nonparametric two-sample tests of high dimensional mean vectors via random integration

Y Jiang, X Wang, C Wen, Y Jiang… - Journal of the American …, 2024 - Taylor & Francis
Testing the equality of the means in two samples is a fundamental statistical inferential
problem. Most of the existing methods are based on the sum-of-squares or supremum …

Electrophysiological markers for anticipatory processing of nocebo-augmented pain

JS Blythe, KJ Peerdeman, DS Veldhuijzen, JD Karch… - Plos one, 2023 - journals.plos.org
Nocebo effects on pain are widely thought to be driven by negative expectations. This
suggests that anticipatory processing, or some other form of top-down cognitive activity prior …

Approximate co-sufficient sampling with regularization

W Zhu, RF Barber - arXiv preprint arXiv:2309.08063, 2023 - arxiv.org
In this work, we consider the problem of goodness-of-fit (GoF) testing for parametric models--
for example, testing whether observed data follows a logistic regression model. This testing …

Generalized Hotelling's test for paired compositional data with application to human microbiome studies

N Zhao, X Zhan, KA Guthrie, CM Mitchell… - Genetic …, 2018 - Wiley Online Library
The human microbiome is a dynamic system that changes due to diseases, medication,
change in diet, etc. The paired design is a common approach to evaluate the microbial …

A rank-based high-dimensional test for equality of mean vectors

Y Ouyang, J Liu, T Tong, W Xu - Computational Statistics & Data Analysis, 2022 - Elsevier
The Wilcoxon signed-rank test and the Wilcoxon-Mann-Whitney test are two commonly used
rank-based methods for one-and two-sample tests when the one-dimensional data are not …

The decomposite -test when the dimension is large

CH Tsai, MT Tsai - arXiv preprint arXiv:2403.01516, 2024 - arxiv.org
In this paper, we discuss tests for mean vector of high-dimensional data when the dimension
$ p $ is a function of sample size $ n $. One of the tests, called the decomposite $ T^{2} …