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While linear mixed model (LMM) has shown a competitive performance in correcting spurious associations raised by population stratification, family structures, and cryptic relatedness, more challenges are still to be addressed regarding the…

Machine Learning · Computer Science 2023-02-15 Wenting Ye , Xiang Liu , Tianwei Yue , Wenping Wang

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

In this work we suggest a statistical mechanics approach to the classification of high-dimensional data according to a binary label. We propose an algorithm whose aim is twofold: First it learns a classifier from a relatively small number…

Statistical Mechanics · Physics 2009-07-22 Andrea Pagnani , Francesca Tria , Martin Weigt

We describe the time evolution of gene expression levels by using a time translational matrix to predict future expression levels of genes based on their expression levels at some initial time. We deduce the time translational matrix for…

Statistical Mechanics · Physics 2009-11-07 Neal S. Holter , Amos Maritan , Marek Cieplak , Nina V. Fedoroff , Jayanth R. Banavar

Compartmental models based on tracer mass balance are extensively used in clinical and pre-clinical nuclear medicine in order to obtain quantitative information on tracer metabolism in the biological tissue. This paper is the first of a…

Quantitative Methods · Quantitative Biology 2018-08-21 Fabrice Delbary , Sara Garbarino , Valentina Vivaldi

This paper proposes a regularized pairwise difference approach for estimating the linear component coefficient in a partially linear model, with consistency and exact rates of convergence obtained in high dimensions under mild scaling…

Statistics Theory · Mathematics 2018-01-15 Fang Han , Zhao Ren , Yuxin Zhu

In recent years, advances in high throughput sequencing technology have led to a need for specialized methods for the analysis of digital gene expression data. While gene expression data measured on a microarray take on continuous values…

Applications · Statistics 2012-02-29 Daniela M. Witten

We introduce a probabilistic model for protein sliding motion along DNA during the search of a target sequence. The model accounts for possible effects due to sequence-dependent interaction between the nonspecific DNA and the protein. As an…

Biological Physics · Physics 2007-05-23 Maria Barbi , Christophe Place , Vladislav Popkov , Mario Salerno

We introduce a new approach to variable selection, called Predictive Correlation Screening, for predictor design. Predictive Correlation Screening (PCS) implements false positive control on the selected variables, is well suited to small…

Machine Learning · Statistics 2013-04-11 Hamed Firouzi , Bala Rajaratnam , Alfred Hero

Microarray data are often used to determine which genes are differentially expressed between groups, for example, between treatment and control groups. There are methods of determining which genes have a high probability of differential…

Quantitative Methods · Quantitative Biology 2007-05-23 David R. Bickel

Molecular phenotyping by gene expression profiling is common in contemporary cancer research and in molecular diagnostics. However, molecular profiling remains costly and resource intense to implement, and is just starting to be introduced…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Philippe Weitz , Yinxi Wang , Kimmo Kartasalo , Lars Egevad , Johan Lindberg , Henrik Grönberg , Martin Eklund , Mattias Rantalainen

Motivated by the size of cell line drug sensitivity data, researchers have been developing machine learning (ML) models for predicting drug response to advance cancer treatment. As drug sensitivity studies continue generating data, a common…

Many applications in genetic analyses utilize sampling distributions, which describe the probability of observing a sample of DNA sequences randomly drawn from a population. In the one-locus case with special models of mutation such as the…

Probability · Mathematics 2012-07-25 Anand Bhaskar , John A. Kamm , Yun S. Song

The dynamics of short-lived mRNA results in bursts of protein production in gene regulatory networks. We investigate the propagation of bursting noise between different levels of mathematical modelling, and demonstrate that conventional…

Molecular Networks · Quantitative Biology 2016-01-14 Yen Ting Lin , Tobias Galla

Statistical approaches that successfully combine multiple datasets are more powerful, efficient, and scientifically informative than separate analyses. To address variation architectures correctly and comprehensively for high-dimensional…

Methodology · Statistics 2023-09-01 Jiuzhou Wang , Eric F. Lock

The multivariate adaptive regression spline (MARS) is one of the popular estimation methods for nonparametric multivariate regressions. However, as MARS is based on marginal splines, to incorporate interactions of covariates, products of…

Methodology · Statistics 2023-07-06 Yu Liu , Degui Li , Yingcun Xia

This paper presents a new framework for analysing forensic DNA samples using probabilistic genotyping. Specifically it presents a mathematical framework for specifying and combining the steps in producing forensic casework electropherograms…

Applications · Statistics 2018-02-28 Robert George Cowell

High resolution microarrays and second-generation sequencing platforms are powerful tools to investigate genome-wide alterations in DNA copy number, methylation and gene expression associated with a disease. An integrated genomic profiling…

Applications · Statistics 2013-04-22 Ronglai Shen , Sijian Wang , Qianxing Mo

The likelihood ratio (LR) is a commonly used measure for determining the strength of forensic match evidence. When a forensic expert determines a high LR for DNA found at a crime scene matching the DNA profile of a suspect they typically…

Applications · Statistics 2020-09-21 Norman Fenton , Allan Jamieson , Sara Gomes , Martin Neil

Detecting the interactions of genetic compounds like genes, SNPs, proteins, metabolites, etc. can potentially unravel the mechanisms behind complex traits and common genetic disorders. Several methods have been taken into consideration for…

Computational Engineering, Finance, and Science · Computer Science 2015-05-26 Francesco Gadaleta