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Single-cell transcriptomic data approximates the abundance of proteins at a high resolution, but its noisiness necessitates transformation by a pipeline of methods before analysis and inference. In the absence of robust validation of these…

Applications · Statistics 2026-04-13 Toby Kettlewell , Yiyi Cheng , Thomas D. Otto , Vincent Macaulay , Mayetri Gupta

Quality and diversity are two critical metrics for the training data of large language models (LLMs), positively impacting performance. Existing studies often optimize these metrics separately, typically by first applying quality filtering…

Computation and Language · Computer Science 2025-04-29 Fengze Liu , Weidong Zhou , Binbin Liu , Zhimiao Yu , Yifan Zhang , Haobin Lin , Yifeng Yu , Bingni Zhang , Xiaohuan Zhou , Taifeng Wang , Yong Cao

It is well known that correlations in microarray data represent a serious nuisance deteriorating the performance of gene selection procedures. This paper is intended to demonstrate that the correlation structure of microarray data provides…

Applications · Statistics 2007-12-18 Lev Klebanov , Andrei Yakovlev

Motivated by the genomic application of expression quantitative trait loci (eQTL) mapping, we propose a new procedure to perform simultaneous testing of multiple hypotheses using Bayes factors as input test statistics. One of the most…

Methodology · Statistics 2016-06-09 Xiaoquan Wen

Mass spectrometry (MS) based single-cell proteomics (SCP) explores cellular heterogeneity by focusing on the functional effectors of the cells - proteins. However, extracting meaningful biological information from MS data is far from…

This paper addresses patient heterogeneity associated with prediction problems in biomedical applications. We propose a systematic hypothesis testing approach to determine the existence of patient subgroup structure and the number of…

Methodology · Statistics 2021-01-08 Xu Gao , Weining Shen , Jing Ning , Ziding Feng , Jianhua Hu

Even in the steady-state, the number of biomolecules in living cells fluctuates dynamically; and the frequency spectrum of this chemical fluctuation carries valuable information about the mechanism and the dynamics of the intracellular…

Biological Physics · Physics 2018-08-21 Sanggeun Song , Gil-Suk Yang , Seong Jun Park , Ji-Hyun Kim , Jaeyoung Sung

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

Methodology · Statistics 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

Predicting patient features from single-cell data can help identify cellular states implicated in health and disease. Linear models and average cell type expressions are typically favored for this task for their efficiency and robustness,…

Machine Learning · Computer Science 2024-03-11 Jan P. Engelmann , Alessandro Palma , Jakub M. Tomczak , Fabian J. Theis , Francesco Paolo Casale

Affymetrix GeneChip technology is used to detect gene expression levels in samples of cells under different conditions. In this project, we analyzed the gene expression profiling data for mouse induced pluripotent stem cell (iPSCs)…

Genomics · Quantitative Biology 2012-10-12 Wanting Xu

The development of single-cell technologies provides the opportunity to identify new cellular states and reconstruct novel cell-to-cell relationships. Applications range from understanding the transcriptional and epigenetic processes…

Quantitative Methods · Quantitative Biology 2018-10-11 Luis Aparicio , Mykola Bordyuh , Andrew J. Blumberg , Raul Rabadan

We propose a computational approach to modeling the collective dynamics of populations of coupled heterogeneous biological oscillators. In contrast to Monte Carlo simulation, this approach utilizes generalized Polynomial Chaos (gPC) to…

Quantitative Methods · Quantitative Biology 2007-05-23 Katherine A. Bold , Yu Zou , Ioannis G. Kevrekidis , Michael A. Henson

Single-cell RNA sequencing (scRNA-seq) has revolutionized our ability to analyze gene expression at the resolution of individual cells, providing unprecedented insights into cellular heterogeneity and complex biological systems. This paper…

Other Quantitative Biology · Quantitative Biology 2024-06-11 Megha Patel , Nimish Magre , Himanshi Motwani , Nik Bear Brown

RNA sequencing (RNA-seq) has been rapidly adopted for the profiling of transcriptomes in many areas of biology, including studies into gene regulation, development and disease. Of particular interest is the discovery of differentially…

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

Gene expression and phenotype association can be affected by potential unmeasured confounders from multiple sources, leading to biased estimates of the associations. Since genetic variants largely explain gene expression variations, they…

Methodology · Statistics 2019-10-23 Jiarui Lu , Hongzhe Li

In the analysis of single-cell RNA sequencing data, researchers often characterize the variation between cells by estimating a latent variable, such as cell type or pseudotime, representing some aspect of the individual cell's state. They…

Methodology · Statistics 2022-10-19 Anna Neufeld , Lucy L. Gao , Joshua Popp , Alexis Battle , Daniela Witten

Single-cell RNA-seq data allow the quantification of cell type differences across a growing set of biological contexts. However, pinpointing a small subset of genomic features explaining this variability can be ill-defined and…

Machine Learning · Statistics 2022-07-29 Nabeel Sarwar , Wilson Gregory , George A Kevrekidis , Soledad Villar , Bianca Dumitrascu

Molecular generation and molecular property prediction are both crucial for drug discovery, but they are often developed independently. Inspired by recent studies, which demonstrate that diffusion model, a prominent generative approach, can…

Machine Learning · Computer Science 2025-04-07 Shikun Feng , Yuyan Ni , Yan Lu , Zhi-Ming Ma , Wei-Ying Ma , Yanyan Lan

Real-time PCR, or Real-time Quantitative PCR (qPCR) is an effective approach to quantify nucleic acid samples. Given the complicated reaction system along with thermal cycles, there has been long-term confusion on accurately calculating the…

Quantitative Methods · Quantitative Biology 2021-03-02 Chuanbo Liu , Jin Wang
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