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Motivated by differential co-expression analysis in genomics, we consider in this paper estimation and testing of high-dimensional differential correlation matrices. An adaptive thresholding procedure is introduced and theoretical…

Methodology · Statistics 2015-10-22 T. Tony Cai , Anru Zhang

Transcriptomic analysis are characterized by being not directly quantitative and only providing relative measurements of expression levels up to an unknown individual scaling factor. This difficulty is enhanced for differential expression…

Methodology · Statistics 2021-03-24 Dorota Desaulle , Céline Hoffmann , Bernard Hainque , Yves Rozenholc

The effort to understand network systems in increasing detail has resulted in a diversity of methods designed to extract their large-scale structure from data. Unfortunately, many of these methods yield diverging descriptions of the same…

Data Analysis, Statistics and Probability · Physics 2015-03-27 Tiago P. Peixoto

Genetic variants identified to date by genome-wide association studies only explain a small fraction of total heritability. Gene-by-gene interaction is one important potential source of unexplained heritability. In the first part of this…

Methodology · Statistics 2016-05-10 Chen Lu

In the fight against hard-to-treat diseases such as cancer, it is often difficult to discover new treatments that benefit all subjects. For regulatory agency approval, it is more practical to identify subgroups of subjects for whom the…

Methodology · Statistics 2014-10-09 Wei-Yin Loh , Xu He , Michael Man

Microbiome data analysis is essential for understanding host health and disease, yet its inherent sparsity and noise pose major challenges for accurate imputation, hindering downstream tasks such as biomarker discovery. Existing imputation…

Machine Learning · Computer Science 2025-08-01 Rabeya Tus Sadia , Qiang Cheng

The accurate classification of galaxies in large-sample astrophysical databases of galaxy clusters depends sensitively on the ability to distinguish between morphological types, especially at higher redshifts. This capability can be…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-21 Mercedes T. Richards , Donald St. P. Richards , Elizabeth Martinez-Gomez

Methods to effectively detect multi-locus genetic association are becoming increasingly relevant in the genetic dissection of complex trait in humans. Current approaches typically consider a limited number of hypotheses, most of which are…

Genomics · Quantitative Biology 2007-05-23 Zhong Li , Aris Floratos , David Wang , Andrea Califano

In microarray experiments, it is often of interest to identify genes which have a pre-specified gene expression profile with respect to time. Methods available in the literature are, however, typically not stringent enough in identifying…

Applications · Statistics 2009-01-18 J. Tuke , G. F. V. Glonek , P. J. Solomon

A fundamental question in data analysis, machine learning and signal processing is how to compare between data points. The choice of the distance metric is specifically challenging for high-dimensional data sets, where the problem of…

Machine Learning · Statistics 2017-08-15 Almog Lahav , Ronen Talmon , Yuval Kluger

Understanding the relationships between different properties of data, such as whether a connectome or genome has information about disease status, is becoming increasingly important in modern biological datasets. While existing approaches…

Machine Learning · Statistics 2024-06-27 Joshua T. Vogelstein , Eric Bridgeford , Qing Wang , Carey E. Priebe , Mauro Maggioni , Cencheng Shen

Gene selection plays a pivotal role in oncology research for improving outcome prediction accuracy and facilitating cost-effective genomic profiling for cancer patients. This paper introduces two gene selection strategies for deep…

Genomics · Quantitative Biology 2024-03-05 Akhila Krishna , Ravi Kant Gupta , Pranav Jeevan , Amit Sethi

In this paper, we propose a new approach to causal inference with panel data. Instead of using panel data to adjust for differences in the distribution of unobserved heterogeneity between the treated and comparison groups, we instead use…

Econometrics · Economics 2025-12-01 Brantly Callaway , Derek Dyal , Pedro H. C. Sant'Anna , Emmanuel S. Tsyawo

The performance of deep neural networks is strongly influenced by the training dataset setup. In particular, when attributes having a strong correlation with the target attribute are present, the trained model can provide unintended…

Machine Learning · Computer Science 2023-02-14 Sumyeong Ahn , Seongyoon Kim , Se-young Yun

In The Cancer Genome Atlas (TCGA) data set, there are many interesting nonlinear dependencies between pairs of genes that reveal important relationships and subtypes of cancer. Such genomic data analysis requires a rapid, powerful and…

Applications · Statistics 2022-11-30 Siqi Xiang , Wan Zhang , Siyao Liu , Katherine A. Hoadley , Charles M. Perou , Kai Zhang , J. S. Marron

It has been rightfully emphasized that the use of AI for clinical decision making could amplify health disparities. An algorithm may encode protected characteristics, and then use this information for making predictions due to undesirable…

Machine Learning · Computer Science 2022-07-22 Ben Glocker , Charles Jones , Melanie Bernhardt , Stefan Winzeck

Analysis of single-cell transcriptomics often relies on clustering cells and then performing differential gene expression (DGE) to identify genes that vary between these clusters. These discrete analyses successfully determine cell types…

Quantitative Methods · Quantitative Biology 2022-10-07 Renee S. Hoekzema , Lewis Marsh , Otto Sumray , Thomas M. Carroll , Xin Lu , Helen M. Byrne , Heather A. Harrington

Discovering a correlation from one variable to another variable is of fundamental scientific and practical interest. While existing correlation measures are suitable for discovering average correlation, they fail to discover hidden or…

Machine Learning · Statistics 2017-11-22 Hyeji Kim , Weihao Gao , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

Optimization and Control · Mathematics 2026-01-05 Furan Xie , Bing Liu , Li Chai

Pattern discovery plays a central role in both descriptive and predictive tasks across multiple domains. Actionable patterns must meet rigorous statistical significance criteria and, in the presence of target variables, further uphold…

Machine Learning · Computer Science 2024-01-23 Leonardo Alexandre , Rafael S. Costa , Rui Henriques