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We consider a high-dimensional multi-outcome regression in which $q,$ possibly dependent, binary and continuous outcomes are regressed onto $p$ covariates. We model the observed outcome vector as a partially observed latent realization from…

Methodology · Statistics 2025-11-05 Soham Ghosh , Sameer K. Deshpande

Motivation: Modelling methods that find structure in data are necessary with the current large volumes of genomic data, and there have been various efforts to find subsets of genes exhibiting consistent patterns over subsets of treatments.…

Machine Learning · Computer Science 2016-09-15 Kerstin Bunte , Eemeli Leppäaho , Inka Saarinen , Samuel Kaski

Partial least squares, as a dimension reduction method, has become increasingly important for its ability to deal with problems with a large number of variables. Since noisy variables may weaken the performance of the model, the sparse…

Methodology · Statistics 2020-06-08 Weijuan Liang , Shuangge Ma , Qingzhao Zhang , Tingyu Zhu

Thousands of risk variants underlying complex phenotypes (quantitative traits and diseases) have been identified in genome-wide association studies (GWAS). However, there are still two major challenges towards deepening our understanding of…

Methodology · Statistics 2017-10-20 Jingsi Ming , Mingwei Dai , Mingxuan Cai , Xiang Wan , Jin Liu , Can Yang

We propose the Lasso Weighted $k$-means ($LW$-$k$-means) algorithm as a simple yet efficient sparse clustering procedure for high-dimensional data where the number of features ($p$) can be much larger compared to the number of observations…

Machine Learning · Statistics 2019-03-26 Saptarshi Chakraborty , Swagatam Das

High-dimensional learning problems, where the number of features exceeds the sample size, often require sparse regularization for effective prediction and variable selection. While established for fully supervised data, these techniques…

Machine Learning · Computer Science 2026-01-01 The Tien Mai , Mai Anh Nguyen , Trung Nghia Nguyen

We propose a two-step procedure to detect cointegration in high-dimensional settings, focusing on sparse relationships. First, we use the adaptive LASSO to identify the small subset of integrated covariates driving the equilibrium…

Methodology · Statistics 2026-03-05 Jesus Gonzalo , Jean-Yves Pitarakis

Due to advances in sensors, growing large and complex medical image data have the ability to visualize the pathological change in the cellular or even the molecular level or anatomical changes in tissues and organs. As a consequence, the…

Machine Learning · Statistics 2016-02-17 Nan Lin , Junhai Jiang , Shicheng Guo , Momiao Xiong

In this paper, the fused graphical lasso (FGL) method is used to estimate multiple precision matrices from multiple populations simultaneously. The lasso penalty in the FGL model is a restraint on sparsity of precision matrices, and a…

Statistics Theory · Mathematics 2023-03-03 Qiuyan Zhang , Zhidong Bai , Lingrui Li , Hu Yang

We propose new methods for multivariate linear regression when the regression coefficient matrix is sparse and the error covariance matrix is dense. We assume that the error covariance matrix has equicorrelation across the response…

Methodology · Statistics 2025-08-13 Daeyoung Ham , Bradley S. Price , Adam J. Rothman

The objectives of this "perspective" paper are to review some recent advances in sparse feature selection for regression and classification, as well as compressed sensing, and to discuss how these might be used to develop tools to advance…

Quantitative Methods · Quantitative Biology 2015-06-18 Mathukumalli Vidyasagar

Omics fusion has emerged as a crucial preprocessing approach in the field of medical image processing, providing significant assistance to several studies. One of the challenges encountered in the integration of omics data is the presence…

Quantitative Methods · Quantitative Biology 2025-02-17 Jiabao Sheng , SaiKit Lam , Jiang Zhang , Yuanpeng Zhang , Jing Cai

Cluster analysis relates to the task of assigning objects into groups which ideally present some desirable characteristics. When a cluster structure is confined to a subset of the feature space, traditional clustering techniques face…

Machine Learning · Statistics 2026-04-14 Efthymios Costa , Ioanna Papatsouma , Angelos Markos

Regularized regression approaches such as the Lasso have been widely adopted for constructing sparse linear models in high-dimensional datasets. A complexity in fitting these models is the tuning of the parameters which control the level of…

Methodology · Statistics 2019-03-12 Ellis Patrick , Samuel Mueller

The application of machine learning methods to analyze changes in gene expression patterns has recently emerged as a powerful approach in cancer research, enhancing our understanding of the molecular mechanisms underpinning cancer…

Machine Learning · Computer Science 2024-09-02 Fadi Alharbi , Aleksandar Vakanski , Murtada K. Elbashir , Mohanad Mohammed

Sparse subspace clustering (SSC) is one of the current state-of-the-art methods for partitioning data points into the union of subspaces, with strong theoretical guarantees. However, it is not practical for large data sets as it requires…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Maryam Abdolali , Nicolas Gillis , Mohammad Rahmati

This article introduces the sparse group fused lasso (SGFL) as a statistical framework for segmenting sparse regression models with multivariate time series. To compute solutions of the SGFL, a nonsmooth and nonseparable convex program, we…

Computation · Statistics 2020-10-09 David Degras

Scientific investigations that incorporate next generation sequencing involve analyses of high-dimensional data where the need to organize, collate and interpret the outcomes are pressingly important. Currently, data can be collected at the…

Machine Learning · Statistics 2016-08-01 Stephen T Rush , Christine H Lee , Washington Mio , Peter T Kim

This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

Machine Learning · Computer Science 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

Advances in data collecting technologies in genomics have significantly increased the need for tools designed to study the genetic basis of many diseases. Effective statistical methods should excel in both prediction accuracy and biomarker…

Methodology · Statistics 2025-11-13 Anthony-Alexander Christidis , Stefan Van Aelst , Ruben Zamar