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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…

Information Theory · Computer Science 2010-03-02 Pablo Sprechmann , Ignacio Ramirez , Guillermo Sapiro , Yonina C. Eldar

Time-series datasets are central in machine learning with applications in numerous fields of science and engineering, such as biomedicine, Earth observation, and network analysis. Extensive research exists on state-space models (SSMs),…

Machine Learning · Computer Science 2024-06-17 Emilie Chouzenoux , Victor Elvira

Nested data structures arise when observations are grouped into distinct units, such as patients within hospitals or students within schools. Accounting for this hierarchical organization is essential for valid inference, as ignoring it can…

Computation · Statistics 2025-08-14 Francesco Denti , Laura D'Angelo

The microbiome constitutes a complex microbial ecology of interacting components that regulates important pathways in the host. Measurements of microbial abundances are key to learning the intricate network of interactions amongst microbes.…

Methodology · Statistics 2024-06-17 Veronica Vinciotti , Ernst Wit , Francisco Richter

Sparse modeling is a powerful framework for data analysis and processing. Traditionally, encoding in this framework is performed by solving an L1-regularized linear regression problem, commonly referred to as Lasso or Basis Pursuit. In this…

Machine Learning · Statistics 2015-05-19 Pablo Sprechmann , Ignacio Ramírez , Guillermo Sapiro , Yonina Eldar

Penalized regression models such as the lasso have been extensively applied to analyzing high-dimensional data sets. However, due to memory limitations, existing R packages like glmnet and ncvreg are not capable of fitting lasso-type models…

Computation · Statistics 2026-05-13 Yaohui Zeng , Patrick Breheny

High dimensional Gaussian graphical models provide a rigorous framework to describe a network of statistical dependencies between entities, such as genes in genomic regulation studies or species in ecology. Penalized methods, including the…

Methodology · Statistics 2025-09-04 Jeanne Tous , Julien Chiquet

Graph-based machine learning methods are useful tools in the identification and prediction of variation in genetic data. In particular, the comprehension of phenotypic effects at the cellular level is an accelerating research area in…

Quantitative Methods · Quantitative Biology 2024-12-06 Nandini Gadhia , Michalis Smyrnakis , Po-Yu Liu , Damer Blake , Melanie Hay , Anh Nguyen , Dominic Richards , Dong Xia , Ritesh Krishna

In molecular biology, advances in high-throughput technologies have made it possible to study complex multivariate phenotypes and their simultaneous associations with high-dimensional genomic and other omics data, a problem that can be…

Methodology · Statistics 2021-12-02 Zhi Zhao , Marco Banterle , Leonardo Bottolo , Sylvia Richardson , Alex Lewin , Manuela Zucknick

The INLA package provides a tool for computationally efficient Bayesian modeling and inference for various widely used models, more formally the class of latent Gaussian models. It is a non-sampling based framework which provides…

Methodology · Statistics 2019-07-26 Janet van Niekerk , Haakon Bakka , Haavard Rue , Olaf Schenk

Network reconstruction is important to the understanding and control of collective dynamics in complex systems. Most real networks exhibit sparsely connected properties, and the connection parameter is a signal (0 or 1). Well-known…

Physics and Society · Physics 2025-09-03 Lei Shi , Jie Hu , Libin Jin , Chen Shen , Huaiyu Tan , Dalei Yu

Contemporary empirical applications frequently require flexible regression models for complex response types and large tabular or non-tabular, including image or text, data. Classical regression models either break down under the…

Computation · Statistics 2024-05-29 Lucas Kook , Philipp FM Baumann , Oliver Dürr , Beate Sick , David Rügamer

With the advent of high-throughput sequencing (HTS) in molecular biology and medicine, the need for scalable statistical solutions for modeling complex biological systems has become of critical importance. The increasing number of platforms…

Molecular Networks · Quantitative Biology 2022-10-19 Fernando Palluzzi , Mario Grassi

Network inference is a major field of interest for the ecological community, especially in light of the high cost and difficulty of manual observation, and easy availability of remote, long term monitoring data. In addition, comparing…

Quantitative Methods · Quantitative Biology 2021-03-30 Anshuman Swain , Travis Byrum , Zhaoyi Zhuang , Luke Perry , Michael Lin , William Fagan

The R package, Libra, stands for the LInearized BRegman Al- gorithm in high dimensional statistics. The Linearized Bregman Algorithm is a simple iterative procedure to generate sparse regularization paths of model estimation, which are…

Applications · Statistics 2016-04-21 Jiechao Xiong , Feng Ruan , Yuan Yao

Graphical LASSO (GLASSO) is a widely used method for estimating sparse precision matrices and learning undirected graphical models in high-dimensional settings. Because GLASSO penalizes entries of the precision matrix directly, however, it…

Statistics Theory · Mathematics 2026-05-11 Małgorzata Bogdan , Adam Chojecki , Ivan Hejný , Bartosz Kołodziejek , Jonas Wallin

In genomic studies, identifying biomarkers associated with a variable of interest is a major concern in biomedical research. Regularized approaches are classically used to perform variable selection in high-dimensional linear models.…

Methodology · Statistics 2020-07-22 Wencan Zhu , Céline Lévy-Leduc , Nils Ternès

We introduce an extension to the CLRS algorithmic learning benchmark, prioritizing scalability and the utilization of sparse representations. Many algorithms in CLRS require global memory or information exchange, mirrored in its execution…

Machine Learning · Computer Science 2023-11-21 Julian Minder , Florian Grötschla , Joël Mathys , Roger Wattenhofer

Disaggregation modelling, or downscaling, has become an important discipline in epidemiology. Surveillance data, aggregated over large regions, is becoming more common, leading to an increasing demand for modelling frameworks that can deal…

Computation · Statistics 2020-01-15 Anita K. Nandi , Tim C. D. Lucas , Rohan Arambepola , Peter Gething , Daniel J. Weiss

We introduce R package iglm, which implements a comprehensive framework for studying relationships among predictors and outcomes under interference. The implemented regression framework facilitates the study of spillover and other phenomena…

Computation · Statistics 2026-05-05 Cornelius Fritz , Michael Schweinberger