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This paper proposes a sparse regression strategy for discovery of ordinary differential equations from incomplete and noisy data. Inference is performed over both equation parameters and state variables using a statistically motivated…

动力系统 · 数学 2026-02-18 Teddy Meissner , Karl Glasner

Classification with a sparsity constraint on the solution plays a central role in many high dimensional machine learning applications. In some cases, the features can be grouped together so that entire subsets of features can be selected or…

机器学习 · 计算机科学 2014-09-05 Nikhil Rao , Robert Nowak , Christopher Cox , Timothy Rogers

Network data are increasingly common in the social sciences and infectious disease epidemiology. Analyses often link network structure to node-level covariates, but existing methods falter with sparse networks and high-dimensional node…

统计方法学 · 统计学 2026-02-05 Emma G Crenshaw , Yuhua Zhang , Jukka-Pekka Onnela

We propose a combined model, which integrates the latent factor model and the logistic regression model, for the citation network. It is noticed that neither a latent factor model nor a logistic regression model alone is sufficient to…

机器学习 · 统计学 2019-12-03 Namjoon Suh , Xiaoming Huo , Eric Heim , Lee Seversky

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is done by solving an l_1-regularized linear regression problem, usually called Lasso. In this work we first combine the…

信息论 · 计算机科学 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

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 $\textit{dense}$…

统计理论 · 数学 2016-10-25 Rina Foygel Barber , Matthew Reimherr , Thomas Schill

Prediction of patient survival using high-dimensional multi-omics data requires systematic feature selection methods that ensure predictive performance, sparsity, and reliability for prognostic biomarker discovery. We developed a hybrid…

基因组学 · 定量生物学 2026-04-15 John Zobolas , Anne-Marie George , Alberto López , Sebastian Fischer , Marc Becker , Tero Aittokallio

Complex, multivariable systems are often analyzed by grouping their constituent units into components, sometimes referred to as latent features, which afford physical or biological interpretation. However, a priori many different types of…

无序系统与神经网络 · 物理学 2026-05-01 Philipp Fleig , Ilya Nemenman

Penalized regression models such as the Lasso have proved useful for variable selection in many fields - especially for situations with high-dimensional data where the numbers of predictors far exceeds the number of observations. These…

统计方法学 · 统计学 2014-03-19 Kasper Brink-Jensen , Claus Thorn Ekstrøm

Exploring the genetic basis of heritable traits remains one of the central challenges in biomedical research. In simple cases, single polymorphic loci explain a significant fraction of the phenotype variability. However, many traits of…

种群与进化 · 定量生物学 2015-03-20 Barbara Rakitsch , Christoph Lippert , Oliver Stegle , Karsten Borgwardt

Multivariate regression techniques are commonly applied to explore the associations between large numbers of outcomes and predictors. In real-world applications, the outcomes are often of mixed types, including continuous measurements,…

统计方法学 · 统计学 2020-10-19 Aditya Mishra , Dipak K. Dey , Yong Chen , Kun Chen

A wide range of problems in computational science and engineering require estimation of sparse eigenvectors for high dimensional systems. Here, we propose two variants of the Truncated Orthogonal Iteration to compute multiple leading…

数值分析 · 数学 2021-03-26 Hexuan Liu , Aleksandr Aravkin

Multi-view data have been routinely collected in various fields of science and engineering. A general problem is to study the predictive association between multivariate responses and multi-view predictor sets, all of which can be of high…

统计方法学 · 统计学 2018-07-30 Gen Li , Xiaokang Liu , Kun Chen

Both linear mixed models (LMMs) and sparse regression models are widely used in genetics applications, including, recently, polygenic modeling in genome-wide association studies. These two approaches make very different assumptions, so are…

定量方法 · 定量生物学 2012-11-16 Xiang Zhou , Peter Carbonetto , Matthew Stephens

For statistical inference on regression models with a diverging number of covariates, the existing literature typically makes sparsity assumptions on the inverse of the Fisher information matrix. Such assumptions, however, are often…

统计方法学 · 统计学 2021-06-08 Lu Xia , Bin Nan , Yi Li

The $\ell_1$-penalized method, or the Lasso, has emerged as an important tool for the analysis of large data sets. Many important results have been obtained for the Lasso in linear regression which have led to a deeper understanding of…

机器学习 · 统计学 2011-12-30 Jian Huang , Cun-Hui Zhang

The automated discovery of constitutive models from data has recently emerged as a promising alternative to the traditional model calibration paradigm. In this work, we present a fully automated framework for constitutive model discovery…

机器学习 · 计算机科学 2025-12-01 Jorge-Humberto Urrea-Quintero , David Anton , Laura De Lorenzis , Henning Wessels

Identifying similar protein sequences is a core step in many computational biology pipelines such as detection of homologous protein sequences, generation of similarity protein graphs for downstream analysis, functional annotation and gene…

分布式、并行与集群计算 · 计算机科学 2020-10-01 Oguz Selvitopi , Saliya Ekanayake , Giulia Guidi , Georgios Pavlopoulos , Ariful Azad , Aydin Buluc

A linear inverse problem is proposed that requires the determination of multiple unknown signal vectors. Each unknown vector passes through a different system matrix and the results are added to yield a single observation vector. Given the…

数值分析 · 计算机科学 2010-09-03 Adam C. Zelinski , Vivek K Goyal , Elfar Adalsteinsson

We address the problem of joint sparsity pattern recovery based on low dimensional multiple measurement vectors (MMVs) in resource constrained distributed networks. We assume that distributed nodes observe sparse signals which share the…

信息论 · 计算机科学 2015-06-16 Thankshila Wimalajeewa , Pramod K. Varshney