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We consider the high-dimensional sparse linear regression problem of accurately estimating a sparse vector using a small number of linear measurements that are contaminated by noise. It is well known that the standard cadre of…

统计理论 · 数学 2014-02-25 Divyanshu Vats , Richard G. Baraniuk

This article introduces lassopack, a suite of programs for regularized regression in Stata. lassopack implements lasso, square-root lasso, elastic net, ridge regression, adaptive lasso and post-estimation OLS. The methods are suitable for…

计量经济学 · 经济学 2019-01-17 Achim Ahrens , Christian B. Hansen , Mark E. Schaffer

A constrained L1 minimization method is proposed for estimating a sparse inverse covariance matrix based on a sample of $n$ iid $p$-variate random variables. The resulting estimator is shown to enjoy a number of desirable properties. In…

统计方法学 · 统计学 2011-02-14 Tony Cai , Weidong Liu , Xi Luo

Estimation of a sparse spectral precision matrix, the inverse of a spectral density matrix, is a canonical problem in frequency-domain analysis of high-dimensional time series (HDTS), with applications in neurosciences and environmental…

统计方法学 · 统计学 2025-11-11 Navonil Deb , Amy Kuceyeski , Sumanta Basu

Sparse functional/longitudinal data have attracted widespread interest due to the prevalence of such data in social and life sciences. A prominent scenario where such data are routinely encountered are accelerated longitudinal studies,…

统计方法学 · 统计学 2024-06-24 Yidong Zhou , Hans-Georg Müller

We study sparse group Lasso for high-dimensional double sparse linear regression, where the parameter of interest is simultaneously element-wise and group-wise sparse. This problem is an important instance of the simultaneously structured…

统计理论 · 数学 2022-05-10 T. Tony Cai , Anru R. Zhang , Yuchen Zhou

Transfer learning techniques aim to leverage information from multiple related datasets to enhance prediction quality against a target dataset. Such methods have been adopted in the context of high-dimensional sparse regression, and some…

机器学习 · 统计学 2025-01-31 Koki Okajima , Tomoyuki Obuchi

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

Classification of high-dimensional low sample size (HDLSS) data poses a challenge in a variety of real-world situations, such as gene expression studies, cancer research, and medical imaging. This article presents the development and…

机器学习 · 统计学 2026-05-27 Jyotishka Ray Choudhury , Aytijhya Saha , Sarbojit Roy , Subhajit Dutta

This paper proposes a fast and accurate method for sparse regression in the presence of missing data. The underlying statistical model encapsulates the low-dimensional structure of the incomplete data matrix and the sparsity of the…

机器学习 · 统计学 2015-03-31 Ravi Ganti , Rebecca M. Willett

Estimating graphical model structure from high-dimensional and undersampled data is a fundamental problem in many scientific fields. Existing approaches, such as GLASSO, latent variable GLASSO, and latent tree models, suffer from high…

机器学习 · 统计学 2019-09-18 Greg Ver Steeg , Hrayr Harutyunyan , Daniel Moyer , Aram Galstyan

We propose a scalable computerized approach for large-scale inference of Liver Imaging Reporting and Data System (LI-RADS) final assessment categories in narrative ultrasound (US) reports. Although our model was trained on reports created…

计算与语言 · 计算机科学 2018-06-20 Imon Banerjee , Hailey H. Choi , Terry Desser , Daniel L. Rubin

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…

应用统计 · 统计学 2013-12-09 Vinicius Diniz Mayrink , Joseph Edward Lucas

In modern data analysis, sparse model selection becomes inevitable once the number of predictors variables is very high. It is well-known that model selection procedures like the Lasso or Boosting tend to overfit on real data. The…

机器学习 · 计算机科学 2022-02-11 Tino Werner

Sparse representations have emerged as a powerful tool in signal and information processing, culminated by the success of new acquisition and processing techniques such as Compressed Sensing (CS). Fusion frames are very rich new signal…

信息论 · 计算机科学 2011-06-20 Petros T. Boufounos , Gitta Kutyniok , Holger Rauhut

Lasso is a popular and efficient approach to simultaneous estimation and variable selection in high-dimensional regression models. In this paper, a robust LAD-lasso method for multiple outcomes is presented that addresses the challenges of…

统计方法学 · 统计学 2022-12-02 Jyrki Möttönen , Tero Lähderanta , Janne Salonen , Mikko J. Sillanpää

The advent of parameter-efficient fine-tuning methods has significantly reduced the computational burden of adapting large-scale pretrained models to diverse downstream tasks. However, existing approaches often struggle to achieve robust…

计算机视觉与模式识别 · 计算机科学 2025-06-17 Haotian Zhang , Liu Liu , Baosheng Yu , Jiayan Qiu , Yanwei Ren , Xianglong Liu

The sparsity-ranked lasso (SRL) has been developed for model selection and estimation in the presence of interactions and polynomials. The main tenet of the SRL is that an algorithm should be more skeptical of higher-order polynomials and…

统计方法学 · 统计学 2024-03-11 Ryan Peterson , Joseph Cavanaugh

Sparse reduced rank regression is an essential statistical learning method. In the contemporary literature, estimation is typically formulated as a nonconvex optimization that often yields to a local optimum in numerical computation. Yet,…

统计方法学 · 统计学 2022-12-06 Canhong Wen , Ruipeng Dong , Xueqin Wang , Weiyu Li , Heping Zhang

Inferring network structures remains an interesting question for its importance on the understanding and controlling collective dynamics of complex systems. The existing shrinking methods such as Lasso-type estimation can not suitably…

统计理论 · 数学 2025-09-03 Lei Shi , Jie Hu , Huaiyu Tan , Libin Jin , Wei Zhong , Chen Shen