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We propose a bootstrap-based test to detect a mean shift in a sequence of high-dimensional observations with unknown time-varying heteroscedasticity. The proposed test builds on the U-statistic based approach in Wang et al. (2022), targets…

Methodology · Statistics 2023-11-17 Teng Wu , Stanislav Volgushev , Xiaofeng Shao

RNA-Seq and gene expression microarrays provide comprehensive profiles of gene activity, but lack of reproducibility has hindered their application. A key challenge in the data analysis is the normalization of gene expression levels, which…

Populations and Evolution · Quantitative Biology 2017-03-10 Carlos P. Roca , Susana I. L. Gomes , Mónica J. B. Amorim , Janeck J. Scott-Fordsmand

Many biological processes display oscillatory behavior based on an approximately 24 hour internal timing system specific to each individual. One process of particular interest is gene expression, for which several circadian transcriptomic…

Applications · Statistics 2024-12-23 Michael Gorczyca , Tavish McDonald , Justice Sefas

Time series of counts occurring in various applications are often overdispersed, meaning their variance is much larger than the mean. This paper proposes a novel variable selection approach for processing such data. Our approach consists in…

Methodology · Statistics 2023-07-04 Marina Gomtsyan

Genome-wide gene expression profiles, as measured with microarrays or RNA-Seq experiments, have revolutionized biological and biomedical research by providing a quantitative measure of the entire mRNA transcriptome. Typically, researchers…

Applications · Statistics 2013-08-01 Neil R. Clark , Kevin Hu , Edward Y. Chen , Qioanan Duan , Avi Ma`ayan

Background: High-throughput techniques bring novel tools but also statistical challenges to genomic research. Identifying genes with differential expression between different species is an effective way to discover evolutionarily conserved…

Methodology · Statistics 2018-10-05 Yan Zhou , Jiadi Zhu , Tiejun Tong , Junhui Wang , Bingqing Lin , Jun Zhang

There are a number of well-established methods such as principal components analysis (PCA) for automatically capturing systematic variation due to latent variables in large-scale genomic data. PCA and related methods may directly provide a…

Methodology · Statistics 2015-03-05 Neo Christopher Chung , John D. Storey

The identification of disease-gene associations is instrumental in understanding the mechanisms of diseases and developing novel treatments. Besides identifying genes from RNA-Seq datasets, it is often necessary to identify gene clusters…

Genomics · Quantitative Biology 2025-11-14 Jake R. Patock , Rinki Ratnapriya , Arko Barman

In this paper, we propose a novel approach to detect heteroskedasticity in regression models with regressors contaminated by measurement error. Specifically, inspired by the integrated conditional moment (ICM) approach, we construct test…

Econometrics · Economics 2026-05-20 Xiaojun Song , Jichao Yuan

High-throughput sequencing of RNA transcripts (RNA-seq) has become the method of choice for detection of differential expression (DE). Concurrent with the growing popularity of this technology there has been a significant research effort…

The use of deep learning models in computational biology has increased massively in recent years, and it is expected to continue with the current advances in the fields such as Natural Language Processing. These models, although able to…

The widespread use of machine learning algorithms calls for automatic change detection algorithms to monitor their behavior over time. As a machine learning algorithm learns from a continuous, possibly evolving, stream of data, it is…

Machine Learning · Statistics 2021-06-29 Lang Liu , Joseph Salmon , Zaid Harchaoui

We propose a new asymptotic test to assess the stationarity of a time series' mean that is applicable in the presence of both heteroscedasticity and short-range dependence. Our test statistic is composed of Gini's mean difference of local…

Statistics Theory · Mathematics 2021-08-23 Sara Kristin Schmidt

RNA-Seq is a widely-used method for studying the behavior of genes under different biological conditions. An essential step in an RNA-Seq study is normalization, in which raw data are adjusted to account for factors that prevent direct…

Genomics · Quantitative Biology 2016-09-06 Ciaran Evans , Johanna Hardin , Daniel Stoebel

Cell populations are never truly homogeneous; individual cells exist in biochemical states that define functional differences between them. New technology based on microfluidic arrays combined with multiplexed quantitative polymerase chain…

Biomarker discovery and gene ranking is a standard task in genomic high throughput analysis. Typically, the ordering of markers is based on a stabilized variant of the t-score, such as the moderated t or the SAM statistic. However, these…

Applications · Statistics 2009-10-09 Verena Zuber , Korbinian Strimmer

RNA-seq has become a de facto standard for measuring gene expression. Traditionally, RNA-seq experiments are mathematically averaged -- they sequence the mRNA of individuals from different treatment groups, hoping to correlate phenotype…

Quantitative Methods · Quantitative Biology 2013-09-05 Surojit Biswas , Yash N. Agrawal , Tatiana S. Mucyn , Jeffery L. Dangl , Corbin D. Jones

In cancer biomarker development, a key objective is to evaluate whether a new biomarker, when combined with an established one, improves early cancer detection compared to using the established biomarker alone. Incremental value is often…

Methodology · Statistics 2025-11-21 Indrila Ganguly , Ying Huang

Synthetic Time Series Generation (TSG) is crucial in a range of applications, including data augmentation, anomaly detection, and privacy preservation. Although significant strides have been made in this field, existing methods exhibit…

Machine Learning · Computer Science 2023-12-08 Yihao Ang , Qiang Huang , Yifan Bao , Anthony K. H. Tung , Zhiyong Huang

RNA-seq has rapidly become the de facto technique to measure gene expression. However, the time required for analysis has not kept up with the pace of data generation. Here we introduce Sailfish, a novel computational method for quantifying…

Genomics · Quantitative Biology 2014-04-25 Rob Patro , Stephen M. Mount , Carl Kingsford