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A sparse modeling is a major topic in machine learning and statistics. LASSO (Least Absolute Shrinkage and Selection Operator) is a popular sparse modeling method while it has been known to yield unexpected large bias especially at a sparse…

机器学习 · 计算机科学 2018-08-23 Katsuyuki Hagiwara

Modern variable selection procedures make use of penalization methods to execute simultaneous model selection and estimation. A popular method is the LASSO (least absolute shrinkage and selection operator), the use of which requires…

统计方法学 · 统计学 2023-01-12 Meadhbh O'Neill , Kevin Burke

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…

统计方法学 · 统计学 2019-03-12 Ellis Patrick , Samuel Mueller

The Least Absolute Shrinkage and Selection Operator (LASSO) has gained attention in a wide class of continuous parametric estimation problems with promising results. It has been a subject of research for more than a decade. Due to the…

统计计算 · 统计学 2015-04-13 Ashkan Panahi , Mats Viberg

Propensity score methods are widely used for estimating treatment effects from observational studies. A popular approach is to estimate propensity scores by maximum likelihood based on logistic regression, and then apply inverse probability…

统计方法学 · 统计学 2017-10-24 Zhiqiang Tan

Blocking, a special case of rerandomization, is routinely implemented in the design stage of randomized experiments to balance the baseline covariates. This study proposes a regression adjustment method based on the least absolute shrinkage…

统计方法学 · 统计学 2024-11-15 Ke Zhu , Hanzhong Liu , Yuehan Yang

The least absolute shrinkage and selection operator (LASSO) is a popular technique for simultaneous estimation and model selection. There have been a lot of studies on the large sample asymptotic distributional properties of the LASSO…

统计理论 · 数学 2016-07-05 Rakshith Jagannath , Neelesh S Upadhye

In high-dimensional data settings where $p\gg n$, many penalized regularization approaches were studied for simultaneous variable selection and estimation. However, with the existence of covariates with weak effect, many existing variable…

统计方法学 · 统计学 2016-03-24 Xiaoli Gao , S. E. Ahmed , Yang Feng

Shrinkage estimators that possess the ability to produce sparse solutions have become increasingly important to the analysis of today's complex datasets. Examples include the LASSO, the Elastic-Net and their adaptive counterparts.…

统计方法学 · 统计学 2017-02-09 Hongmei Liu , J. Sunil Rao

We address measurement error bias in propensity score (PS) analysis due to covariates that are latent variables. In the setting where latent covariate $X$ is measured via multiple error-prone items $\mathbf{W}$, PS analysis using several…

统计方法学 · 统计学 2020-02-13 Trang Quynh Nguyen , Elizabeth A. Stuart

Propensity Score Matching (PSM) is an useful method to reduce the impact ofTreatment - Selection Bias in the estimation of causal effects in observational studies. After matching, the PSM significantly reduces the sample under…

统计方法学 · 统计学 2019-02-01 Daniel García Iglesias

Inverse probability weighted estimators are the oldest and potentially most commonly used class of procedures for the estimation of causal effects. By adjusting for selection biases via a weighting mechanism, these procedures estimate an…

统计方法学 · 统计学 2021-07-06 Ashkan Ertefaie , Nima S. Hejazi , Mark J. van der Laan

There are many settings where researchers are interested in estimating average treatment effects and are willing to rely on the unconfoundedness assumption, which requires that the treatment assignment be as good as random conditional on…

统计方法学 · 统计学 2018-02-02 Susan Athey , Guido W. Imbens , Stefan Wager

The tuning parameter selection strategy for penalized estimation is crucial to identify a model that is both interpretable and predictive. However, popular strategies (e.g., minimizing average squared prediction error via cross-validation)…

统计方法学 · 统计学 2022-11-10 Julia Holter , Jonathan Stallrich

The Lasso is a computationally efficient regression regularization procedure that can produce sparse estimators when the number of predictors (p) is large. Oracle inequalities provide probability loss bounds for the Lasso estimator at a…

机器学习 · 统计学 2017-07-21 Cheryl J. Flynn , Clifford M. Hurvich , Jeffrey S. Simonoff

Propensity score (PS) weighting methods are often used in non-randomized studies to adjust for confounding and assess treatment effects. The most popular among them, the inverse probability weighting (IPW), assigns weights that are…

统计方法学 · 统计学 2020-11-04 Yunji Zhou , Roland A. Matsouaka , Laine Thomas

We study the problem of variable selection in convex nonparametric least squares (CNLS). Whereas the least absolute shrinkage and selection operator (Lasso) is a popular technique for least squares, its variable selection performance is…

统计方法学 · 统计学 2025-10-31 Zhiqiang Liao , Zhaonan Qu

Model selection is difficult to analyse yet theoretically and empirically important, especially for high-dimensional data analysis. Recently the least absolute shrinkage and selection operator (Lasso) has been applied in the statistical and…

机器学习 · 统计学 2016-06-02 Ning Xu , Jian Hong , Timothy C. G. Fisher

In the context of multiple regression model, suppose that the vector parameter of interest \beta is subjected to lie in the subspace hypothesis H\beta = h, where this restriction is based on either additional information or prior knowledge.…

统计理论 · 数学 2015-05-13 M. Norouzirad , M. Arashi , A. K. Md. Ehsanes Saleh

With the growing access to administrative health databases, retrospective studies have become crucial evidence for medical treatments. Yet, non-randomized studies frequently face selection biases, requiring mitigation strategies. Propensity…

机器学习 · 统计学 2026-05-07 Alexandre Abraham , Andrés Hoyos Idrobo
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