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Studying phenotype-gene association can uncover mechanism of diseases and develop efficient treatments. In complex disease where multiple phenotypes are available and correlated, analyzing and interpreting associated genes for each…

Methodology · Statistics 2021-12-14 Yujia Li , Yusi Fang , Peng Liu , George C. Tseng

We present a novel method for testing the hypothesis of equality of two correlation matrices using paired high-dimensional datasets. We consider test statistics based on the average of squares, maximum and sum of exceedances of Fisher…

Methodology · Statistics 2018-04-10 Adria Caballe , Natalia Bochkina , Claus Mayer , Ioannis Papastathopoulos

Precision matrix, which is the inverse of covariance matrix, plays an important role in statistics, as it captures the partial correlation between variables. Testing the equality of two precision matrices in high dimensional setting is a…

Methodology · Statistics 2018-10-23 Mingjuan Zhang , Yong He , Cheng Zhou , Xinsheng Zhang

In the framework of a two-band model, we study the phase separation regime of different kinds of strongly correlated charge carriers as a function of the energy splitting between the two sets of bands. The narrow (wide) band simulates the…

Strongly Correlated Electrons · Physics 2008-10-29 K. I. Kugel , A. L. Rakhmanov , A. O. Sboychakov , Nicola Poccia , Antonio Bianconi

Gene-gene interactions are often regarded as playing significant roles in influencing variabilities of complex traits. Although much research has been devoted to this area, to date a comprehensive statistical model that addresses the…

Applications · Statistics 2018-04-18 Durba Bhattacharya , Sourabh Bhattacharya

In condensed-matter, level statistics has long been used to characterize the phases of a disordered system. We provide evidence within the context of a simple model that in a disordered large-N gauge theory with a gravity dual, there exist…

High Energy Physics - Theory · Physics 2012-06-12 Omid Saremi

It is becoming increasingly clear that complex interactions among genes and environmental factors play crucial roles in triggering complex diseases. Thus, understanding such interactions is vital, which is possible only through statistical…

Applications · Statistics 2020-05-04 Durba Bhattacharya , Sourabh Bhattacharya

Testing high-dimensional quantile regression coefficients is crucial, as tail quantiles often reveal more than the mean in many practical applications. Nevertheless, the sparsity pattern of the alternative hypothesis is typically unknown in…

Methodology · Statistics 2025-12-29 Ping Zhao , Zhenyu Liu , Dan Zhuang

We propose {\delta}-MAPS, a method that analyzes spatio-temporal data to first identify the distinct spatial components of the underlying system, referred to as "domains", and second to infer the connections between them. A domain is a…

Other Computer Science · Computer Science 2016-09-27 Ilias Fountalis , Annalisa Bracco , Bistra Dilkina , Constantine Dovrolis , Shella Keilholz

The use of data-random graphs in statistical testing of spatial patterns is introduced recently. In this approach, a random directed graph is constructed from the data using the relative positions of the points from various classes.…

Statistics Theory · Mathematics 2009-07-01 Elvan Ceyhan

Assessing the statistical significance of an observed 2x2 contingency table can easily be accomplished using Fisher's exact test (FET). However, if the cell entries are continuous or represent values inferred from a continuous parametric…

Populations and Evolution · Quantitative Biology 2014-04-14 A. Morgan Thompson , M. Cyrus Maher , Lawrence H. Uricchio , Zachary A. Szpiech , Ryan D. Hernandez

In healthcare, clinical risks are crucial for treatment decisions, yet the analysis of their associations is often overlooked. This gap is particularly significant when balancing risks that are weighed against each other, as in the case of…

Applications · Statistics 2024-06-03 Yajie Duan , Javier Cabrera , Davit Sargsyan

During the recent years there was an increased interest in studying the performance of different types of control charts, under various distributional models for continuous proportions, such as percentages and rates. In this work we…

Methodology · Statistics 2025-02-05 Athanasios C. Rakitzis

We employ a general Monte Carlo method to test composite hypotheses of goodness-of-fit for several popular multivariate models that can accommodate both asymmetry and heavy tails. Specifically, we consider weighted L2-type tests based on a…

Methodology · Statistics 2023-03-09 Maicon J. Karling , Marc G. Genton , Simos G. Meintanis

We consider in this paper detection of signal regions associated with disease outcomes in whole genome association studies. Gene- or region-based methods have become increasingly popular in whole genome association analysis as a…

Methodology · Statistics 2020-09-30 Zilin Li , Yaowu Liu , Xihong Lin

In this paper, we study the problem of testing the mean vectors of high dimensional data in both one-sample and two-sample cases. The proposed testing procedures employ maximum-type statistics and the parametric bootstrap techniques to…

Statistics Theory · Mathematics 2018-01-23 Jinyuan Chang , Chao Zheng , Wen-Xin Zhou , Wen Zhou

Joint analysis of multiple phenotypes can increase statistical power in genetic association studies. Principal component analysis, as a popular dimension reduction method, especially when the number of phenotypes is high-dimensional, has…

Applications · Statistics 2018-06-18 Zhonghua Liu , Xihong Lin

Risk for autism can be influenced by genetic mutations in hundreds of genes. Based on findings showing that genes with highly correlated gene expressions are functionally interrelated, "guilt by association" methods such as DAWN have been…

Methodology · Statistics 2020-03-10 Kevin Z. Lin , Han Liu , Kathryn Roeder

Histopathology image analysis plays a crucial role in cancer diagnosis. However, training a clinically applicable segmentation algorithm requires pathologists to engage in labour-intensive labelling. In contrast, weakly supervised learning…

Computer Vision and Pattern Recognition · Computer Science 2024-05-28 Gang Xu , Shuhao Wang , Lingyu Zhao , Xiao Chen , Tongwei Wang , Lang Wang , Zhenwei Luo , Dahan Wang , Zewen Zhang , Aijun Liu , Wei Ba , Zhigang Song , Huaiyin Shi , Dingrong Zhong , Jianpeng Ma

Graph-based tests are a class of non-parametric two-sample tests useful for analyzing high-dimensional data. The test statistics are constructed from similarity graphs (such as K-minimum spanning tree), and consequently, their performance…

Methodology · Statistics 2025-06-23 Yichuan Bai , Lynna Chu