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We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

Applications · Statistics 2012-07-02 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

Quantitative Methods · Quantitative Biology 2014-05-16 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

In this paper we consider the problem of learning the genetic-interaction-map, i.e., the topology of a directed acyclic graph (DAG) of genetic interactions from noisy double knockout (DK) data. Based on a set of well established biological…

Genomics · Quantitative Biology 2016-09-12 Fabio Nikolay , Marius Pesavento , George Kritikos , Nassos Typas

We consider the problem of estimating the differences between two causal directed acyclic graph (DAG) models with a shared topological order given i.i.d. samples from each model. This is of interest for example in genomics, where changes in…

Methodology · Statistics 2018-11-08 Yuhao Wang , Chandler Squires , Anastasiya Belyaeva , Caroline Uhler

Identifying causative genes from patient phenotypes remains a significant challenge in precision medicine, with important implications for the diagnosis and treatment of genetic disorders. We propose a novel graph-based approach for…

Machine Learning · Computer Science 2025-06-17 Kamilia Zaripova , Ege Özsoy , Nassir Navab , Azade Farshad

We propose a two-sample test for detecting the difference between mean vectors in a high-dimensional regime based on a ridge-regularized Hotelling's $T^2$. To choose the regularization parameter, a method is derived that aims at maximizing…

Methodology · Statistics 2018-02-20 Haoran Li , Alexander Aue , Debashis Paul , Jie Peng , Pei Wang

Diabetes is a worldwide health issue affecting millions of people. Machine learning methods have shown promising results in improving diabetes prediction, particularly through the analysis of diverse data types, namely gene expression data.…

Machine Learning · Computer Science 2024-04-24 Rita T. Sousa , Heiko Paulheim

The advent of high--throughput transcription profiling technologies has enabled identification of genes and pathways associated with disease, providing new avenues for precision medicine. A key challenge is to analyze this data in the…

Quantitative Methods · Quantitative Biology 2019-01-11 Sahil D. Shah , Rosemary Braun

In this article, we propose a new hypothesis testing method for directed acyclic graph (DAG). While there is a rich class of DAG estimation methods, there is a relative paucity of DAG inference solutions. Moreover, the existing methods…

Machine Learning · Statistics 2023-05-25 Chengchun Shi , Yunzhe Zhou , Lexin Li

Recent breakthroughs in cancer research have come via the up-and-coming field of pathway analysis. By applying statistical methods to prior known gene and protein regulatory information, pathway analysis provides a meaningful way to…

Genomics · Quantitative Biology 2017-10-11 Yue Zhao

Background: Diagnostic test accuracy (DTA) studies, like etiological studies, are susceptible to various biases including reference standard error bias, partial verification bias, spectrum effect, confounding, and bias from misassumption of…

Methodology · Statistics 2026-01-21 Yang Lu , Nandini Dendukuri

Genetic interactions play an important role in the progression of complex diseases, providing explanation of variations in disease phenotype missed by main genetic effects. Comparatively, there are fewer investigations on prognostic…

Methodology · Statistics 2021-09-23 Xing Qin , Shuangge Ma , Mengyun Wu

Recent progress in large language models has renewed interest in how multi-step reasoning is represented internally. While prior work often treats reasoning as a linear chain, many reasoning problems are more naturally modeled as directed…

Computation and Language · Computer Science 2026-04-07 Tianjun Zhong , Linyang He , Nima Mesgarani

Motivation: In transcriptomic and proteomics-based studies, the abundance of genes is often compared to functional pathways such as the Kyoto Encyclopaedia at Genes and Genomes (KEGG) to identify active metabolic processes. Even though a…

Applications · Statistics 2017-08-25 Thomas Nussbaumer , Julia Polzin , Alexander Platzer

This paper considers inference of causal structure in a class of graphical models called "conditional DAGs". These are directed acyclic graph (DAG) models with two kinds of variables, primary and secondary. The secondary variables are used…

Methodology · Statistics 2014-11-12 Chris J. Oates , Jim Q. Smith , Sach Mukherjee

This paper is motivated by the analysis of gene expression sets, especially by finding differentially expressed gene sets between two phenotypes. Gene $\log_2$ expression levels are highly correlated and, very likely, have approximately…

Other Statistics · Statistics 2010-07-08 Peter Bubeliny

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

Understanding mechanistic relationships among genes and their impacts on biological pathways is essential for elucidating disease mechanisms and advancing precision medicine. Despite the availability of extensive molecular interaction and…

Molecular Networks · Quantitative Biology 2026-03-24 Fujian Jia , Jiwen Gu , Cheng Lu , Dezhi Zhao , Mengjiang Huang , Yuanzhi Lu , Xin Liu , Kang Liu

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

Large Language Models (LLMs) have achieved impressive performance in complex reasoning problems. Their effectiveness highly depends on the specific nature of the task, especially the required domain knowledge. Existing approaches, such as…

Multiagent Systems · Computer Science 2025-11-20 Jiangwen Dong , Zehui Lin , Wanyu Lin , Mingjin Zhang
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