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In this paper we propose a model selection approach to fit a regression model using splines with a variable number of knots. We introduce a penalized criterion to estimate the number and the position of the knots where to anchor the splines…

Methodology · Statistics 2021-07-28 Alex Rodrigo dos S. Sousa , Magno T. F. Severino , Florencia G. Leonardi

A common approach to quantifying DNA involves repeated cycles of DNA amplification. This approach, employed by the polymerase chain reaction (PCR), produces outputs that are corrupted by amplification noise, making it challenging to…

Quantitative Methods · Quantitative Biology 2023-01-06 Abdoelnaser M Degoot , Wilfred Ndifon

Probabilistic modeling is fundamental to the statistical analysis of complex data. In addition to forming a coherent description of the data-generating process, probabilistic models enable parameter inference about given data sets. This…

Populations and Evolution · Quantitative Biology 2018-05-01 Branden J. Olson , Frederick A. Matsen

Many machine learning models have been proposed to classify phenotypes from gene expression data. In addition to their good performance, these models can potentially provide some understanding of phenotypes by extracting explanations for…

Genomics · Quantitative Biology 2024-02-05 Myriam Bontonou , Anaïs Haget , Maria Boulougouri , Benjamin Audit , Pierre Borgnat , Jean-Michel Arbona

Sparse regularized regression methods are now widely used in genome-wide association studies (GWAS) to address the multiple testing burden that limits discovery of potentially important predictors. Linear mixed models (LMMs) have become an…

Methodology · Statistics 2022-06-27 Julien St-Pierre , Karim Oualkacha , Sahir Rai Bhatnagar

We develop a new method to fit the multivariate response linear regression model that exploits a parametric link between the regression coefficient matrix and the error covariance matrix. Specifically, we assume that the correlations…

Methodology · Statistics 2021-12-09 Aaron J. Molstad , Guangwei Weng , Charles R. Doss , Adam J. Rothman

Informed selection of drug candidates for laboratory experimentation provides an efficient means of identifying suitable anti-cancer treatments. The advancement of artificial intelligence has led to the development of computational models…

Linear Mixed Models (LMMs) are important tools in statistical genetics. When used for feature selection, they allow to find a sparse set of genetic traits that best predict a continuous phenotype of interest, while simultaneously correcting…

Polygenic risk scores (PRSs) can significantly enhance breast cancer risk prediction when combined with clinical risk factor data. While many studies have explored the value-add of PRSs, little is known about the potential impact of…

Genomics · Quantitative Biology 2024-07-31 Monica Isgut , Andrew Hornback , Yunan Luo , Asma Khimani , Neha Jain , May D. Wang

Comparisons of single-cell RNA sequencing (scRNA-seq) data across species can reveal links between cellular gene expression and the evolution of cell functions, features, and phenotypes. These comparisons invoke evolutionary histories, as…

Populations and Evolution · Quantitative Biology 2023-07-07 Samuel H. Church , Jasmine L. Mah , Casey W. Dunn

We consider the problems of variable selection and estimation in nonparametric additive regression models for high-dimensional data. In recent years, several methods have been proposed to model nonlinear relationships when the number of…

Methodology · Statistics 2013-10-07 Linn Cecilie Bergersen , Kukatharmini Tharmaratnam , Ingrid K. Glad

Electronic properties of DNA are believed to play a crucial role in many phenomena in living organisms, for example the location of DNA lesions by base excision repair (BER) glycosylases and the regulation of tumor-suppressor genes such as…

Other Quantitative Biology · Quantitative Biology 2012-02-21 Chi-Tin Shih , Stephen A. Wells , Ching-Ling Hsu , Yun-Yin Cheng , Rudolf A. Römer

We present a detailed kinetic model for the Polymerase Chain Reaction, and model the probability of replication in terms of the physical parameters of the problem. Applying the theory of branching processes, we show the existance of a new…

Statistical Mechanics · Physics 2007-05-23 Guillermo A. Cecchi , Gustavo Stolovitzky

Prognostic genes have been well studied within each type of cancer. However, investigations of the similarities and differences across cancer types are rare. In view of the optimal course of treatment, the classification of cancers into…

Applications · Statistics 2019-03-20 Arturo Chavez , Dimitris Koutentakis , Youzhi Liang , Sonali Tripathy , Jie Yun

In this report, correlation of the pixels comprising a microarray spot is investigated. Subsequently, correlation statistics namely: Pearson correlation and Spearman rank correlation are used to segment the foreground and background…

Genomics · Quantitative Biology 2007-05-23 Radhakrishnan Nagarajan , Meenakshi Upreti

Deleterious genetic variants can be evaluated as quantitative traits using information theory-based sequence analysis of recognition sites. To assess the effect of such variants, fitness and genetic load of SNPs which alter binding site…

Genomics · Quantitative Biology 2011-07-05 Peter Rogan , Eliseos Mucaki

High throughput genome sequencing technologies such as RNA-Seq and Microarray have the potential to transform clinical decision making and biomedical research by enabling high-throughput measurements of the genome at a granular level.…

While data science is battling to extract information from the enormous explosion of data, many estimators and algorithms are being developed for better prediction. Researchers and data scientists often introduce new methods and evaluate…

Applications · Statistics 2019-05-22 Raju Rimal , Trygve Almøy , Solve Sæbø

Understanding the life cycle of the machine learning (ML) model is an intriguing area of research (e.g., understanding where the model comes from, how it is trained, and how it is used). This paper focuses on a novel problem within this…

Machine Learning · Computer Science 2024-07-19 Xin Mu , Yu Wang , Yehong Zhang , Jiaqi Zhang , Hui Wang , Yang Xiang , Yue Yu

Second-generation sequencing technologies have replaced array-based technologies and become the default method for genomics and epigenomics analysis. Second-generation sequencing technologies sequence tens of millions of DNA/cDNA fragments…

Methodology · Statistics 2017-02-08 Ping Ma , Nan Zhang , Jianhua Z. Huang , Wenxuan Zhong