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It is known that the Thresholded Lasso (TL), SCAD or MCP correct intrinsic estimation bias of the Lasso. In this paper we propose an alternative method of improving the Lasso for predictive models with general convex loss functions which…

Statistics Theory · Mathematics 2021-01-26 Piotr Pokarowski , Wojciech Rejchel , Agnieszka Soltys , Michal Frej , Jan Mielniczuk

In this paper we consider the problem of grouped variable selection in high-dimensional regression using $\ell_1-\ell_q$ regularization ($1\leq q \leq \infty$), which can be viewed as a natural generalization of the $\ell_1-\ell_2$…

Machine Learning · Statistics 2008-02-12 Han Liu , Jian Zhang

Lasso-type estimators are routinely used to estimate high-dimensional time series models. The theoretical guarantees established for these estimators typically require the penalty level to be chosen in a suitable fashion often depending on…

A case-cohort design is a two-phase sampling design frequently used to analyze censored survival data in a cost-effective way, where a subcohort is usually selected using simple random sampling or stratified simple random sampling. In this…

Methodology · Statistics 2024-11-06 Kaeum Choi , Sangwook Kang

Survival models are a popular tool for the analysis of time to event data with applications in medicine, engineering, economics, and many more. Advances like the Cox proportional hazard model have enabled researchers to better describe…

Machine Learning · Statistics 2021-02-16 Stefan Groha , Sebastian M Schmon , Alexander Gusev

This paper considers robust modeling of the survival time for cancer patients. Accurate prediction can be helpful for developing therapeutic and care strategies. We propose a unified Expectation-Maximization approach combined with the…

Methodology · Statistics 2019-12-23 Yi Li , Muxuan Liang , Lu Mao , Sijian Wang

In many scientific and engineering applications, covariates are naturally grouped. When the group structures are available among covariates, people are usually interested in identifying both important groups and important variables within…

Methodology · Statistics 2013-06-20 Zhigeng Geng , Sijian Wang , Menggang Yu , Patrick O. Monahan , Victoria Champion , Grace Wahba

We propose the Bayesian adaptive Lasso (BaLasso) for variable selection and coefficient estimation in linear regression. The BaLasso is adaptive to the signal level by adopting different shrinkage for different coefficients. Furthermore, we…

Methodology · Statistics 2010-09-14 Chenlei Leng , Minh Ngoc Tran , David Nott

In this paper, we study norm-based regularization methods for neural networks. We compare existing penalization approaches and introduce two regularization strategies that extend classical ridge- and lasso-type penalties to neural network…

Machine Learning · Statistics 2026-05-04 Muhammad Qasim , Farrukh Javed

Background: Accurate survival prediction in breast cancer is essential for patient stratification and personalized therapy. Integrating gene expression data with clinical factors may enhance prognostic performance and support precision…

Quantitative Methods · Quantitative Biology 2025-08-26 Robert Amevor , Emmanuel Kubuafor , Dennis Baidoo , Junaidu Salifu , Koshali Muthunama Gonnage , Onyedikachi Joshua Okeke

The modeling of time-to-event data, also known as survival analysis, requires specialized methods that can deal with censoring and truncation, time-varying features and effects, and that extend to settings with multiple competing events.…

Machine Learning · Statistics 2021-04-20 Andreas Bender , David Rügamer , Fabian Scheipl , Bernd Bischl

We introduce a novel regression model for the conditional left and right tail of a possibly heavy-tailed response. The proposed model can be used to learn the effect of covariates on an extreme value setting via a Lasso-type specification…

Methodology · Statistics 2021-08-11 Miguel de Carvalho , Soraia Pereira , Paula Pereira , Patrícia de Zea Bermudez

Predicting clinical variables from whole-brain neuroimages is a high dimensional problem that requires some type of feature selection or extraction. Penalized regression is a popular embedded feature selection method for high dimensional…

Methodology · Statistics 2018-02-27 Joanne C. Beer , Howard J. Aizenstein , Stewart J. Anderson , Robert T. Krafty

In biomedical studies it is common to collect data on multiple biomarkers during study follow-up for dynamic prediction of a time-to-event clinical outcome. The biomarkers are typically intermittently measured, missing at some event times,…

Methodology · Statistics 2021-07-05 Ning Li , Yi Liu , Shanpeng Li , Robert M. Elashoff , Gang Li

Scoring systems are highly interpretable and widely used to evaluate time-to-event outcomes in healthcare research. However, existing time-to-event scores are predominantly created ad-hoc using a few manually selected variables based on…

Machine Learning · Computer Science 2024-06-11 Feng Xie , Yilin Ning , Han Yuan , Benjamin Alan Goldstein , Marcus Eng Hock Ong , Nan Liu , Bibhas Chakraborty

This paper provides guidance for researchers with some mathematical background on the conduct of time-to-event analysis in observational studies based on intensity (hazard) models. Discussions of basic concepts like time axis, event…

Penalized regression models such as the Lasso have proved useful for variable selection in many fields - especially for situations with high-dimensional data where the numbers of predictors far exceeds the number of observations. These…

Methodology · Statistics 2014-03-19 Kasper Brink-Jensen , Claus Thorn Ekstrøm

The group Lasso is an extension of the Lasso for feature selection on (predefined) non-overlapping groups of features. The non-overlapping group structure limits its applicability in practice. There have been several recent attempts to…

Machine Learning · Computer Science 2010-09-03 Jun Liu , Jieping Ye

In applied time-to-event analysis, a flexible parametric approach is to model the hazard rate as a piecewise constant function of time. However, the change points and values of the piecewise constant hazard are usually unknown and need to…

Methodology · Statistics 2024-08-08 Manuel Rosenbaum , Jan Beyersmann , Michael Vogt

Latent class analysis (LCA) is a useful tool to investigate the heterogeneity of a disease population with time-to-event data. We propose a new method based on non-parametric maximum likelihood estimator (NPMLE), which facilitates…

Methodology · Statistics 2022-02-03 Teng Fei , John Hanfelt , Limin Peng
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