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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…

Clinical research often focuses on complex traits in which many variables play a role in mechanisms driving, or curing, diseases. Clinical prediction is hard when data is high-dimensional, but additional information, like domain knowledge…

Methodology · Statistics 2020-05-21 Mirrelijn M. van Nee , Lodewyk F. A. Wessels , Mark A. van de Wiel

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

The linear regression model cannot be fitted to high-dimensional data, as the high-dimensionality brings about empirical non-identifiability. Penalized regression overcomes this non-identifiability by augmentation of the loss function by a…

Methodology · Statistics 2023-06-29 Wessel N. van Wieringen

High-dimensional prediction with multiple data types needs to account for potentially strong differences in predictive signal. Ridge regression is a simple model for high-dimensional data that has challenged the predictive performance of…

Methodology · Statistics 2021-04-02 Mark A. van de Wiel , Mirrelijn M. van Nee , Armin Rauschenberger

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

Correlation among the observations in high-dimensional regression modeling can be a major source of confounding. We present a new open-source package, plmmr, to implement penalized linear mixed models in R. This R package estimates…

Computation · Statistics 2026-05-13 Tabitha K. Peter , Anna C. Reisetter , Yujing Lu , Oscar A. Rysavy , Patrick J. Breheny

We address the challenge of correlated predictors in high-dimensional GLMs, where regression coefficients range from sparse to dense, by proposing a data-driven random projection method. This is particularly relevant for applications where…

Methodology · Statistics 2025-12-30 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

Covariate adjustment aims to improve the statistical efficiency of randomized trials by incorporating information from baseline covariates. Popular methods for covariate adjustment include analysis of covariance for continuous endpoints and…

Methodology · Statistics 2025-05-09 Zhiwei Zhang , Ya Wang , Dong Xi

The matched case-control design, up until recently mostly pertinent to epidemiological studies, is becoming customary in biomedical applications as well. For instance, in omics studies, it is quite common to compare cancer and healthy…

Methodology · Statistics 2024-02-05 Vera Djordjilović , Erica Ponzi , Therese Haugdahl Nøst , Magne Thoresen

In statistical prediction, classical approaches for model selection and model evaluation based on covariance penalties are still widely used. Most of the literature on this topic is based on what we call the "Fixed-X" assumption, where…

Methodology · Statistics 2017-06-13 Saharon Rosset , Ryan J. Tibshirani

There are many different ways in which change point analysis can be performed, from purely parametric methods to those that are distribution free. The ecp package is designed to perform multiple change point analysis while making as few…

Computation · Statistics 2013-11-26 Nicholas A. James , David S. Matteson

For high-dimensional linear regression models, we review and compare several estimators of variances $\tau^2$ and $\sigma^2$ of the random slopes and errors, respectively. These variances relate directly to ridge regression penalty…

Computation · Statistics 2019-02-08 Jurre R. Veerman , Gwenael G. R. Leday , Mark A. van de Wiel

Various R packages have been developed for the non-convex penalized estimation but they can only be applied to the smoothly clipped absolute deviation (SCAD) or minimax concave penalty (MCP). We develop an R package, entitled ncpen, for the…

Computation · Statistics 2018-11-14 Dongshin Kim , Sangin Lee , Sunghoon Kwon

In survival analysis, longitudinal information on the health status of a patient can be used to dynamically update the predicted probability that a patient will experience an event of interest. Traditional approaches to dynamic prediction…

Methodology · Statistics 2025-06-16 Mirko Signorelli

Traditional regression models assume stationary relationships between predictors and responses, failing to capture the spatial heterogeneity present in many environmental, epidemiological, and ecological processes. To address this…

Methodology · Statistics 2025-05-27 Justice Akuoko-Frimpong , Edward Shao , Jonathan Ta

Quantile regression has become a valuable tool to analyze heterogeneous covaraite-response associations that are often encountered in practice. The development of quantile regression methodology for high-dimensional covariates primarily…

Methodology · Statistics 2015-07-06 Qi Zheng , Limin Peng , Xuming He

The generalized Ridge penalty is a powerful tool for dealing with overfitting and for high-dimensional regressions. The generalized Ridge regression can be derived as the mean of a posterior distribution with a Normal prior and a given…

Methodology · Statistics 2022-08-10 Said Obakrim , Pierre Ailliot , Valérie Monbet , Nicolas Raillard

In many high-dimensional prediction or classification tasks, complementary data on the features are available, e.g. prior biological knowledge on (epi)genetic markers. Here we consider tasks with numerical prior information that provide an…

Methodology · Statistics 2022-12-19 Armin Rauschenberger , Zied Landoulsi , Mark A. van de Wiel , Enrico Glaab

Prediction in high dimensional settings is difficult due to large by number of variables relative to the sample size. We demonstrate how auxiliary "co-data" can be used to improve the performance of a Random Forest in such a setting.…

Applications · Statistics 2017-06-05 Dennis E. te Beest , Steven W. Mes , Ruud H. Brakenhoff , Mark A. van de Wiel
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