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This work proposes a data-driven approach for bifurcation analysis in nonlinear systems when the governing differential equations are not available. Specifically, regularized regression with barrier terms is used to learn a homeomorphism…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Wentao Tang

Single-cell gene expression measurements encode variability spanning molecular noise, cell-to-cell heterogeneity, and technical artifacts. Mechanistic stochastic models provide powerful approaches to disentangle these sources, yet inferring…

Quantitative Methods · Quantitative Biology 2025-09-19 Christopher E. Miles

Over the past decades, statisticians and machine-learning researchers have developed literally thousands of new tools for the reduction of high-dimensional data in order to identify the variables most responsible for a particular trait.…

Machine Learning · Statistics 2012-05-31 Chamont Wang , Jana Gevertz , Chaur-Chin Chen , Leonardo Auslender

With the evolution of single-cell RNA sequencing techniques into a standard approach in genomics, it has become possible to conduct cohort-level causal inferences based on single-cell-level measurements. However, the individual gene…

Methodology · Statistics 2025-04-23 Jin-Hong Du , Zhenghao Zeng , Edward H. Kennedy , Larry Wasserman , Kathryn Roeder

Mapping gene expression as a quantitative trait using whole genome-sequencing and transcriptome analysis allows to discover the functional consequences of genetic variation. We developed a novel method and ultra-fast software Findr for…

Genomics · Quantitative Biology 2017-08-23 Lingfei Wang , Tom Michoel

Sparse coding strategies have been lauded for their parsimonious representations of data that leverage low dimensional structure. However, inference of these codes typically relies on an optimization procedure with poor computational…

Machine Learning · Computer Science 2022-09-02 Kion Fallah , Christopher J. Rozell

One of the major challenges arising from single-cell transcriptomics experiments is the question of how to annotate the associated single-cell transcriptomic profiles. Because of the large size and the high dimensionality of the data,…

Genomics · Quantitative Biology 2024-09-11 Malek Senoussi , Thierry Artières , Paul Villoutreix

A common goal in modern biostatistics is to form a biomarker signature from high dimensional gene expression data that is predictive of some outcome of interest. After learning this biomarker signature, an important question to answer is…

Statistics Theory · Mathematics 2015-10-05 Samuel M. Gross , Jonathan Taylor , Robert Tibshirani

Statistical methods for analyzing large-scale biomolecular data are commonplace in computational biology. A notable example is phenotype prediction from gene expression data, for instance, detecting human cancers, differentiating subtypes…

Genomics · Quantitative Biology 2014-11-24 Bahman Afsari , Ulisses M. Braga-Neto , Donald Geman

Current popular methods in literature of RNA sequencing normalisation do not account for gene length when compared across samples, whilst adjusting for count biases in the data. This creates a gap in the normalisation as bigger genes in RNA…

Other Quantitative Biology · Quantitative Biology 2022-09-02 Hilbert Lam Yuen In , Robbe Pincket

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…

As high-throughput sequencing has become common practice, the cost of sequencing large amounts of genetic data has been drastically reduced, leading to much larger data sets for analysis. One important task is to identify biological…

Methodology · Statistics 2014-10-14 Ciaran Evans , Johanna Hardin , Mark Huber , Daniel Stoebel , Garrett Wong

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

We numerically study stochastic resonance in the unzipping of a model double-stranded DNA by a periodic force. We observe multiple peaks in stochastic resonance in the output signal as the driving force frequency is varied for different…

Soft Condensed Matter · Physics 2023-08-22 Ramu Kumar Yadav , M. Suman Kalyan , Rajeev Kapri , Abhishek Chaudhuri

Coarse-grained models have played an important role in the study of the behavior of DNA at length scales beyond a few hundred base pairs. Traditionally, these models have relied on structurally featureless and sequence-independent…

Soft Condensed Matter · Physics 2024-09-10 Enrico Skoruppa , Helmut Schiessel

Motivation: Microarray experiments result in large scale data sets that require extensive mining and refining to extract useful information. We have been developing an efficient novel algorithm for nonmetric multidimensional scaling (nMDS)…

Pattern Formation and Solitons · Physics 2007-05-23 Y-h. Taguchi , Y. Oono

Various statistical methods important for genetic analysis are considered and developed. Namely, we concentrate on the multifactor dimensionality reduction, logic regression, random forests and stochastic gradient boosting. These methods…

Probability · Mathematics 2011-06-29 Alexander Bulinski , Oleg Butkovsky , Alexey Shashkin , Pavel Yaskov

Background: Significance analysis plays a major role in identifying and ranking genes, transcription factor binding sites, DNA methylation regions, and other high-throughput features for association with disease. We propose a new approach,…

Methodology · Statistics 2017-01-10 Andrew E. Jaffe , John D. Storey , Hongkai Ji , Jeffrey T. Leek

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

This paper studies the problem of high-dimensional multiple testing and sparse recovery from the perspective of sequential analysis. In this setting, the probability of error is a function of the dimension of the problem. A simple…

Statistics Theory · Mathematics 2011-06-06 Matthew Malloy , Robert Nowak
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