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Using the $\ell_1$-norm to regularize the estimation of the parameter vector of a linear model leads to an unstable estimator when covariates are highly correlated. In this paper, we introduce a new penalty function which takes into account…

机器学习 · 计算机科学 2011-09-14 Edouard Grave , Guillaume Obozinski , Francis Bach

In generalized linear regression problems with an abundant number of features, lasso-type regularization which imposes an $\ell^1$-constraint on the regression coefficients has become a widely established technique. Deficiencies of the…

应用统计 · 统计学 2010-11-11 Martin Slawski , Wolfgang zu Castell , Gerhard Tutz

High-dimensional data pose challenges in statistical learning and modeling. Sometimes the predictors can be naturally grouped where pursuing the between-group sparsity is desired. Collinearity may occur in real-world high-dimensional…

机器学习 · 统计学 2011-11-11 Yiyuan She

The analysis of randomized trials with time-to-event endpoints is nearly always plagued by the problem of censoring. As the censoring mechanism is usually unknown, analyses typically employ the assumption of non-informative censoring. While…

统计方法学 · 统计学 2020-07-17 Kelly Van Lancker , Oliver Dukes , Stijn Vansteelandt

Time-to-event analysis, also known as survival analysis, aims to predict the time of occurrence of an event, given a set of features. One of the major challenges in this area is dealing with censored data, which can make learning algorithms…

机器学习 · 计算机科学 2023-07-25 Hyunjun Lee , Junhyun Lee , Taehwa Choi , Jaewoo Kang , Sangbum Choi

The instability in the selection of models is a major concern with data sets containing a large number of covariates. This paper deals with variable selection methodology in the case of high-dimensional problems where the response variable…

应用统计 · 统计学 2012-03-23 Marie Walschaerts , Eve Leconte , Philippe Besse

The Lasso regression is a popular regularization method for feature selection in statistics. Prior to computing the Lasso estimator in both linear and generalized linear models, it is common to conduct a preliminary rescaling of the feature…

统计方法学 · 统计学 2023-11-21 Anant Mathur , Sarat Moka , Zdravko Botev

Effect modification occurs when the effect of the treatment on an outcome varies according to the level of other covariates and often has important implications in decision making. When there are tens or hundreds of covariates, it becomes…

统计方法学 · 统计学 2021-11-23 Qingyuan Zhao , Dylan S. Small , Ashkan Ertefaie

Ordinal data are quite common in applied statistics. Although some model selection and regularization techniques for categorical predictors and ordinal response models have been developed over the past few years, less work has been done…

统计方法学 · 统计学 2024-07-26 Aisouda Hoshiyar , Laura H. Gertheiss , Jan Gertheiss

A new discrete-time shot noise Cox process for spatiotemporal data is proposed. The random intensity is driven by a dependent sequence of latent gamma random measures. Some properties of the latent process are derived, such as an…

统计方法学 · 统计学 2023-08-17 Federico Bassetti , Roberto Casarin , Matteo Iacopini

This paper explores foundational and applied aspects of survival analysis, using fall risk assessment as a case study. It revisits key time-related probability distributions and statistical methods, including logistic regression, Poisson…

机器学习 · 计算机科学 2025-01-07 Tianhua Chen

Imposition of a lasso penalty shrinks parameter estimates toward zero and performs continuous model selection. Lasso penalized regression is capable of handling linear regression problems where the number of predictors far exceeds the…

应用统计 · 统计学 2008-12-18 Tong Tong Wu , Kenneth Lange

For data with high-dimensional covariates but small to moderate sample sizes, the analysis of single datasets often generates unsatisfactory results. The integrative analysis of multiple independent datasets provides an effective way of…

统计方法学 · 统计学 2015-01-19 Yuan Huang , Qingzhao Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

We study inference for censored survival data where some covariates are distorted by some unknown functions of an observable confounding variable in a multiplicative form. Example of this kind of data in medical studies is the common…

统计方法学 · 统计学 2020-06-03 Yanyan Liu , Yuanshan Wu , Jing Zhang , Haibo Zhou

The group lasso is a penalized regression method, used in regression problems where the covariates are partitioned into groups to promote sparsity at the group level. Existing methods for finding the group lasso estimator either use…

机器学习 · 统计学 2010-11-12 Rina Foygel , Mathias Drton

Clustering analysis is one of the most widely used statistical tools in many emerging areas such as microarray data analysis. For microarray and other high-dimensional data, the presence of many noise variables may mask underlying…

机器学习 · 统计学 2008-03-26 Benhuai Xie , Wei Pan , Xiaotong Shen

Lung cancer remains one of the leading causes of cancer-related mortality, yet most survival models rely only on baseline factors and overlook posttreatment variables that reflect disease progression. To address this gap, we applied Cox…

应用统计 · 统计学 2025-10-03 Varun Vishwanathan Nair , Victor Miranda Soberanis

Accurate and transparent prediction of cancer survival times on the level of individual patients can inform and improve patient care and treatment practices. In this paper, we design a model that concurrently learns to accurately predict…

机器学习 · 计算机科学 2018-01-31 Maruan Al-Shedivat , Avinava Dubey , Eric P. Xing

In high-dimensional model selection problems, penalized simple least-square approaches have been extensively used. This paper addresses the question of both robustness and efficiency of penalized model selection methods, and proposes a…

统计方法学 · 统计学 2011-07-06 Jelena Bradic , Jianqing Fan , Weiwei Wang

We describe a new approach to estimating relative risks in time-to-event prediction problems with censored data in a fully parametric manner. Our approach does not require making strong assumptions of constant proportional hazard of the…

机器学习 · 计算机科学 2021-06-10 Chirag Nagpal , Xinyu Rachel Li , Artur Dubrawski