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We study the problem of multiple hypothesis testing for multidimensional data when inter-correlations are present. The problem of multiple comparisons is common in many applications. When the data is multivariate and correlated, existing…

Statistics Theory · Mathematics 2015-06-02 Mahdis Azadbakhsh , Xin Gao , Hanna Jankowski

[PhD thesis of FCP.] Nowadays, genetics studies large amounts of very diverse variables. Mathematical statistics has evolved in parallel to its applications, with much recent interest high-dimensional settings. In the genetics of human…

Methodology · Statistics 2024-07-30 Fernando Castro-Prado

A two-sample hypothesis test is a statistical procedure used to determine whether the distributions generating two samples are identical. We consider the two-sample testing problem in a new scenario where the sample measurements (or sample…

Machine Learning · Computer Science 2024-07-01 Weizhi Li , Prad Kadambi , Pouria Saidi , Karthikeyan Natesan Ramamurthy , Gautam Dasarathy , Visar Berisha

In this paper, our interest is in the problem of simultaneous hypothesis testing when the test statistics corresponding to the individual hypotheses are possibly correlated. Specifically, we consider the case when the test statistics…

Statistics Theory · Mathematics 2019-01-14 Anupam Kundu , Subir Kumar Bhandari

While multiple testing procedures have been the focus of much statistical research, an important facet of the problem is how to deal with possible confounding. Procedures have been developed by authors in genetics and statistics. In this…

Methodology · Statistics 2008-12-18 Debashis Ghosh

Machine Learning methods have of late made significant efforts to solving multidisciplinary problems in the field of cancer classification using microarray gene expression data. Feature subset selection methods can play an important role in…

Computational Engineering, Finance, and Science · Computer Science 2013-03-04 G. Prat , Ll. Belanche

In the genomic era, the identification of gene signatures associated with disease is of significant interest. Such signatures are often used to predict clinical outcomes in new patients and aid clinical decision-making. However, recent…

Methodology · Statistics 2019-03-27 Naim U. Rashid , Quefeng Li , Jen Jen Yeh , Joseph G. Ibrahim

Identifying genetic interactions for a given microorganism such as yeast is difficult. Quantitative Fitness Analysis (QFA) is a high-throughput experimental and computational methodology for quantifying the fitness of microbial cultures.…

Applications · Statistics 2014-05-29 Jonathan Heydari

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

In this paper, a problem of testing is discussed when the samples have been drawn from the normal distribution. The study of hypothesis testing is also extended to Baye's set up.

General Mathematics · Mathematics 2008-01-08 Rajesh Singh , Jayant Singh , Florentin Smarandache

Cellular response to a perturbation is the result of a dynamic system of biological variables linked in a complex network. A major challenge in drug and disease studies is identifying the key factors of a biological network that are…

Applications · Statistics 2014-09-02 Lisa M. Pham , Luis Carvalho , Scott Schaus , Eric D. Kolaczyk

Bulk tissue RNA sequencing of heterogeneous samples provides averaged gene expression profiles, obscuring cell type-specific dynamics. To address this, we present a probabilistic hierarchical Bayesian model that deconvolves bulk RNA-seq…

Machine Learning · Computer Science 2025-12-15 Crystal Su , Kuai Yu , Mingyuan Shao , Daniel Bauer

We aim to infer bioactivity of each chemical by assay endpoint combination, addressing sparsity of toxicology data. We propose a Bayesian hierarchical framework which borrows information across different chemicals and assay endpoints,…

Applications · Statistics 2022-11-08 Bora Jin , David B. Dunson , Julia E. Rager , David Reif , Stephanie M. Engel , Amy H. Herring

We present a Bayesian hierarchical multi-view mixture model termed Symphony that simultaneously learns clusters of cells representing cell types and their underlying gene regulatory networks by integrating data from two views: single-cell…

Machine Learning · Statistics 2019-02-22 Cassandra Burdziak , Elham Azizi , Sandhya Prabhakaran , Dana Pe'er

In this paper, we propose a new spectral-based approach to hypothesis testing for populations of networks. The primary goal is to develop a test to determine whether two given samples of networks come from the same random model or…

Methodology · Statistics 2020-11-26 Li Chen , Nathaniel Josephs , Lizhen Lin , Jie Zhou , Eric D. Kolaczyk

Sleep apnea, a prevalent sleep disorder, involves repeated episodes of breathing interruptions during sleep, leading to various health complications, including cognitive impairments, high blood pressure, heart disease, stroke, and even…

Signal Processing · Electrical Eng. & Systems 2025-09-03 Chun Hin Siu , Hossein Miri

Four reasons why you might wish to read this paper: 1. We have devised a new statistical T test to determine differentially expressed genes (DEG) in the context of microarray experiments. This statistical test adds a new member to the…

Quantitative Methods · Quantitative Biology 2007-05-23 Shu-Dong Zhang , Timothy W. Gant

The emergence and development of cancer is a consequence of the accumulation over time of genomic mutations involving a specific set of genes, which provides the cancer clones with a functional selective advantage. In this work, we model…

Machine Learning · Computer Science 2017-03-10 Daniele Ramazzotti , Marco S. Nobile , Paolo Cazzaniga , Giancarlo Mauri , Marco Antoniotti

We address the problem of synthetic gene design using Bayesian optimization. The main issue when designing a gene is that the design space is defined in terms of long strings of characters of different lengths, which renders the…

Machine Learning · Statistics 2015-05-08 Javier González , Joseph Longworth , David C. James , Neil D. Lawrence

This work deals with a general problem of testing multiple hypotheses about the distribution of a discrete-time stochastic process. Both the Bayesian and the conditional settings are considered. The structure of optimal sequential tests is…

Statistics Theory · Mathematics 2009-12-23 Andrey Novikov