Principal component analysis for big data

J Fan, Q Sun, WX Zhou, Z Zhu - arXiv preprint arXiv:1801.01602, 2018 - arxiv.org
Big data is transforming our world, revolutionizing operations and analytics everywhere,
from financial engineering to biomedical sciences. The complexity of big data often makes …

Covariate-assisted ranking and screening for large-scale two-sample inference

T Tony Cai, W Sun, W Wang - Journal of the Royal Statistical …, 2019 - academic.oup.com
Two-sample multiple testing has a wide range of applications. The conventional practice first
reduces the original observations to a vector of p-values and then chooses a cut-off to adjust …

[HTML][HTML] Robust high dimensional factor models with applications to statistical machine learning

J Fan, K Wang, Y Zhong, Z Zhu - … science: a review journal of the …, 2021 - ncbi.nlm.nih.gov
Factor models are a class of powerful statistical models that have been widely used to deal
with dependent measurements that arise frequently from various applications from genomics …

Robust modifications of U-statistics and applications to covariance estimation problems

S Minsker, X Wei - 2020 - projecteuclid.org
Let Y be a d-dimensional random vector with unknown mean μ and covariance matrix Σ.
This paper is motivated by the problem of designing an estimator of Σ that admits …

A projection-based conditional dependence measure with applications to high-dimensional undirected graphical models

J Fan, Y Feng, L Xia - Journal of Econometrics, 2020 - Elsevier
Measuring conditional dependence is an important topic in econometrics with broad
applications including graphical models. Under a factor model setting, a new conditional …

A projection based conditional dependence measure with applications to high-dimensional undirected graphical models

J Fan, Y Feng, L Xia - arXiv preprint arXiv:1501.01617, 2015 - arxiv.org
Measuring conditional dependence is an important topic in statistics with broad applications
including graphical models. Under a factor model setting, a new conditional dependence …

Some permutation symmetric multiple hypotheses testing rules under dependent setup

A Kundu, SK Bhandari - South African Statistical Journal, 2023 - journals.co.za
The problem of multiple hypothesis testing with correlated test statistics is a very important
problem in statistical literature. Specifically, we consider the case when the joint distribution …

Statistical Learning Methods for Diffusion Magnetic Resonance Imaging

X Wang - 2021 - search.proquest.com
Abstract Diffusion Magnetic Resonance Imaging (dMRI) is a commonly used imaging
technique to reveal white matter (WM) microstructure by probing the diffusion of water …

Statistical Learning of Proteomics Data and Global Testing for Data with Correlations

D Chen - 2019 - search.proquest.com
This dissertation consists of two parts. The first part is a collaborative project with Dr.
Szymanski's group in Agronomy at Purdue, to predict protein complex assemblies and …

Large Scale Multiple Testing for High-Dimensional Nonparanormal Data

Y Xu - 2019 - scholarshare.temple.edu
False discovery control in high dimensional multiple testing has been frequently
encountered in many scientific research. Under the multivariate normal distribution …