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Nowadays, clinical research routinely uses omics data, such as gene expression, for predicting clinical outcomes or selecting markers. Additionally, so-called co-data are often available, providing complementary information on the…

Methodology · Statistics 2021-01-12 Mirrelijn M. van Nee , Tim van de Brug , Mark A. van de Wiel

Due to the advantage of achieving a better performance under weak regularization, elastic net has attracted wide attention in statistics, machine learning, bioinformatics, and other fields. In particular, a variation of the elastic net,…

Machine Learning · Statistics 2018-06-14 Xin-Guang Yang , Yongjin Lu

For many high-dimensional studies, additional information on the variables, like (genomic) annotation or external p-values, is available. In the context of binary and continuous prediction, we develop a method for adaptive group-regularized…

Penalization schemes like Lasso or ridge regression are routinely used to regress a response of interest on a high-dimensional set of potential predictors. Despite being decisive, the question of the relative strength of penalization is…

Methodology · Statistics 2018-11-08 Britta Velten , Wolfgang Huber

Molecular profiling data (e.g., gene expression) has been used for clinical risk prediction and biomarker discovery. However, it is necessary to integrate other prior knowledge like biological pathways or gene interaction networks to…

Genomics · Quantitative Biology 2016-09-22 Wenwen Min , Juan Liu , Shihua Zhang

We introduce the arbitrary rectangle-range generalized elastic net penalty method, abbreviated to ARGEN, for performing constrained variable selection and regularization in high-dimensional sparse linear models. As a natural extension of…

Machine Learning · Statistics 2021-12-16 Yujia Ding , Qidi Peng , Zhengming Song , Hansen Chen

Penalized linear regression is of fundamental importance in high-dimensional statistics and has been routinely used to regress a response on a high-dimensional set of predictors. In many scientific applications, there exists external…

Methodology · Statistics 2023-02-21 Sandipan Pramanik , Xianyang Zhang

Feature selection is a standard approach to understanding and modeling high-dimensional classification data, but the corresponding statistical methods hinge on tuning parameters that are difficult to calibrate. In particular, existing…

Methodology · Statistics 2019-03-01 Wei Li , Johannes Lederer

The molecular characterization of tumor samples by multiple omics data sets of different types or modalities (e.g. gene expression, mutation, CpG methylation) has become an invaluable source of information for assessing the expected…

Applications · Statistics 2022-08-26 The Tien Mai , Leiv Rønneberg , Zhi Zhao , Manuela Zucknick , Jukka Corander

Feature selection is important in data representation and intelligent diagnosis. Elastic net is one of the most widely used feature selectors. However, the features selected are dependant on the training data, and their weights dedicated…

Machine Learning · Computer Science 2021-01-01 Shaode Yu , Haobo Chen , Hang Yu , Zhicheng Zhang , Xiaokun Liang , Wenjian Qin , Yaoqin Xie , Ping Shi

Parameter estimation in logistic regression is a well-studied problem with the Newton-Raphson method being one of the most prominent optimization techniques used in practice. A number of monotone optimization methods including…

Computation · Statistics 2023-04-11 Nicholas C. Henderson , Zhongzhe Ouyang

Large-scale {\it in vitro} drug sensitivity screens are an important tool in personalized oncology to predict the effectiveness of potential cancer drugs. The prediction of the sensitivity of cancer cell lines to a panel of drugs is a…

Methodology · Statistics 2020-03-10 Zhi Zhao , Manuela Zucknick

Logistic regression is a widely used statistical model to describe the relationship between a binary response variable and predictor variables in data sets. It is often used in machine learning to identify important predictor variables.…

Optimization and Control · Mathematics 2021-12-30 Jérôme Darbon , Gabriel P. Langlois

We propose a new approach to mixed-frequency regressions in a high-dimensional environment that resorts to Group Lasso penalization and Bayesian techniques for estimation and inference. In particular, to improve the prediction properties of…

Econometrics · Economics 2020-06-12 Matteo Mogliani , Anna Simoni

We propose an approach for fitting linear regression models that splits the set of covariates into groups. The optimal split of the variables into groups and the regularized estimation of the regression coefficients are performed by…

Methodology · Statistics 2019-12-13 Anthony Christidis , Ruben Zamar , Laks V. S. Lakshmanan , Ezequiel Smucler

The Huber's criterion is a useful method for robust regression. The adaptive least absolute shrinkage and selection operator (lasso) is a popular technique for simultaneous estimation and variable selection. In the case of small sample size…

Statistics Theory · Mathematics 2012-07-31 Laurent Zwald , Sophie Lambert-Lacroix

The elastic net penalty is frequently employed in high-dimensional statistics for parameter regression and variable selection. It is particularly beneficial compared to lasso when the number of predictors greatly surpasses the number of…

Machine Learning · Statistics 2024-12-06 Yanyun Ding , Zhenghua Yao , Peili Li , Yunhai Xiao

We propose a method for estimating coefficients in multivariate regression when there is a clustering structure to the response variables. The proposed method includes a fusion penalty, to shrink the difference in fitted values from…

Machine Learning · Statistics 2018-03-28 Bradley S. Price , Ben Sherwood

Penalized logistic regression is extremely useful for binary classification with large number of covariates (higher than the sample size), having several real life applications, including genomic disease classification. However, the…

Methodology · Statistics 2023-04-10 Ayanendranath Basu , Abhik Ghosh , María Jaenada , Leandro Pardo

Building classification models that predict a binary class label on the basis of high dimensional multi-omics datasets poses several challenges, due to the typically widely differing characteristics of the data layers in terms of number of…

Methodology · Statistics 2020-08-04 Alessandra Cabassi , Denis Seyres , Mattia Frontini , Paul D. W. Kirk
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