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We present a new methodology for simultaneous variable selection and parameter estimation in function-on-scalar regression with an ultra-high dimensional predictor vector. We extend the LASSO to functional data in both the $\textit{dense}$…

Statistics Theory · Mathematics 2016-10-25 Rina Foygel Barber , Matthew Reimherr , Thomas Schill

Gaussian graphical regression is a powerful means that regresses the precision matrix of a Gaussian graphical model on covariates, permitting the numbers of the response variables and covariates to far exceed the sample size. Model fitting…

Methodology · Statistics 2022-05-24 Jingfei Zhang , Yi Li

In the past decade, Genome-Wide Association Studies (GWAS) have delivered an increasingly broad view of the genetic basis of human phenotypic variation. One of the major developments from GWAS is polygenic scores, a genetic predictor of an…

Genomics · Quantitative Biology 2019-09-04 Graham Coop

We study the estimation of the latent variable Gaussian graphical model (LVGGM), where the precision matrix is the superposition of a sparse matrix and a low-rank matrix. In order to speed up the estimation of the sparse plus low-rank…

Machine Learning · Statistics 2017-03-01 Pan Xu , Jian Ma , Quanquan Gu

In multi-label learning, each sample is associated with several labels. Existing works indicate that exploring correlations between labels improve the prediction performance. However, embedding the label correlations into the training…

Machine Learning · Computer Science 2011-03-04 Tianyi Zhou , Dacheng Tao

Probabilistic Graphical Models (PGMs) are generative models of complex systems. They rely on conditional independence assumptions between variables to learn sparse representations which can be visualized in a form of a graph. Such models…

Machine Learning · Computer Science 2022-10-13 Harsh Shrivastava , Urszula Chajewska , Robin Abraham , Xinshi Chen

Nowadays an increasing amount of data is available and we have to deal with models in high dimension (number of covariates much larger than the sample size). Under sparsity assumption it is reasonable to hope that we can make a good…

Statistics Theory · Mathematics 2014-01-23 Mélanie Blazère , Jean-Michel Loubes , Fabrice Gamboa

Many data-driven approaches exist to extract neural representations of functional magnetic resonance imaging (fMRI) data, but most of them lack a proper probabilistic formulation. We propose a group level scalable probabilistic sparse…

Genome-wide association studies (GWAS) have identified thousands of genetic variants associated with complex traits, and some variants are shown to be associated with multiple complex traits. Genetic covariance between two traits is defined…

Methodology · Statistics 2023-10-06 Jianqiao Wang , Sai Li , Hongzhe Li

Sparse latent multi-factor models have been used in many exploratory and predictive problems with high-dimensional multivariate observations. Because of concerns with identifiability, the latent factors are almost always assumed to be…

Applications · Statistics 2013-12-09 Vinicius Diniz Mayrink , Joseph Edward Lucas

Neural models for NLP typically use large numbers of parameters to reach state-of-the-art performance, which can lead to excessive memory usage and increased runtime. We present a structure learning method for learning sparse,…

Computation and Language · Computer Science 2019-09-09 Jesse Dodge , Roy Schwartz , Hao Peng , Noah A. Smith

The paramount importance of replicating associations is well recognized in the genome-wide associaton (GWA) research community, yet methods for assessing replicability of associations are scarce. Published GWA studies often combine…

Methodology · Statistics 2014-04-30 Ruth Heller , Daniel Yekutieli

Many forensic genetic trace samples are of too low quality to obtain short tandem repeat (STR) DNA profiles as the nuclear DNA they contain is highly degraded (e.g., telogen hairs). Instead, performing shotgun DNA sequencing of such samples…

Applications · Statistics 2026-03-10 Mikkel Meyer Andersen

Inferring predictive maps between multiple input and multiple output variables or tasks has innumerable applications in data science. Multi-task learning attempts to learn the maps to several output tasks simultaneously with information…

Machine Learning · Statistics 2017-10-06 Ming Yu , Addie M. Thompson , Karthikeyan Natesan Ramamurthy , Eunho Yang , Aurélie C. Lozano

This paper begins with considering the identification of sparse linear time-invariant networks described by multivariable ARX models. Such models possess relatively simple structure thus used as a benchmark to promote further research. With…

Systems and Control · Computer Science 2016-10-03 J. Jin , Y. Yuan , W. Pan , D. L. T. Pham , C. J. Tomlin , A. Webb , J. Goncalves

Linear mixed models (LMMs) are widely used for heritability estimation in genome-wide association studies (GWAS). In standard approaches to heritability estimation with LMMs, a genetic relationship matrix (GRM) must be specified. In GWAS,…

Applications · Statistics 2019-01-11 Ruijun Ma , Lee H. Dicker

The majority of machine learning methods and algorithms give high priority to prediction performance which may not always correspond to the priority of the users. In many cases, practitioners and researchers in different fields, going from…

Generalized linear mixed-effects models in the context of genome-wide association studies (GWAS) represent a formidable computational challenge: the solution of millions of correlated generalized least-squares problems, and the processing…

Mathematical Software · Computer Science 2013-05-02 Diego Fabregat-Traver , Yurii Aulchenko , Paolo Bientinesi

In many high dimensional classification or regression problems set in a biological context, the complete identification of the set of informative features is often as important as predictive accuracy, since this can provide mechanistic…

Machine Learning · Computer Science 2020-03-02 Yuxin Sun , Benny Chain , Samuel Kaski , John Shawe-Taylor

The group Lasso is an extension of the Lasso for feature selection on (predefined) non-overlapping groups of features. The non-overlapping group structure limits its applicability in practice. There have been several recent attempts to…

Machine Learning · Computer Science 2010-09-03 Jun Liu , Jieping Ye