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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

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

We develop a Bayesian approach to predict a continuous or binary outcome from data that are collected from multiple sources with a multi-way (i.e.. multidimensional tensor) structure. As a motivating example we consider molecular data from…

Methodology · Statistics 2022-08-09 Jonathan Kim , Brian J. Sandri , Raghavendra B. Rao , Eric F. Lock

We study variable selection (also called support recovery) in high-dimensional sparse linear regression when one has external information on which variables are likely to be associated with the response. Consistent recovery is only possible…

Statistics Theory · Mathematics 2026-02-16 Paul Rognon-Vael , David Rossell , Piotr Zwiernik

In this paper, the flexibility, versatility and predictive power of kernel regression are combined with now lavishly available network data to create regression models with even greater predictive performances. Building from previous work…

Machine Learning · Statistics 2020-11-05 E. Pei , E. Fokoué

Motivated by image-on-scalar regression with data aggregated across multiple sites, we consider a setting in which multiple independent studies each collect multiple dependent vector outcomes, with potential mean model parameter homogeneity…

Methodology · Statistics 2022-10-06 Emily C. Hector

High-dimensional data can often display heterogeneity due to heteroscedastic variance or inhomogeneous covariate effects. Penalized quantile and expectile regression methods offer useful tools to detect heteroscedasticity in…

Methodology · Statistics 2023-03-23 Rebeka Man , Kean Ming Tan , Zian Wang , Wen-Xin Zhou

Induction benefits from useful priors. Penalized regression approaches, like ridge regression, shrink weights toward zero but zero association is usually not a sensible prior. Inspired by simple and robust decision heuristics humans use, we…

Machine Learning · Computer Science 2021-10-26 Sebastian Bobadilla-Suarez , Matt Jones , Bradley C. Love

Recent technological advances have made it possible to collect high-dimensional genomic data along with clinical data on a large number of subjects. In the studies of chronic diseases such as cancer, it is of great interest to integrate…

Methodology · Statistics 2020-11-03 Hoi Min Ng , Binyan Jiang , Kin Yau Wong

Data integration has become increasingly popular owing to the availability of multiple data sources. This study considered quantile regression estimation when a key covariate had multiple proxies across several datasets. In a unified…

Methodology · Statistics 2022-10-25 Dongyoung Go , Jongho Im , Ick Hoon Jin

In variable selection, most existing screening methods focus on marginal effects and ignore dependence between covariates. To improve the performance of selection, we incorporate pairwise effects in covariates for screening and…

Methodology · Statistics 2019-02-12 Siliang Gong , Kai Zhang , Yufeng Liu

We propose a distributed quadratic inference function framework to jointly estimate regression parameters from multiple potentially heterogeneous data sources with correlated vector outcomes. The primary goal of this joint integrative…

Methodology · Statistics 2022-07-28 Emily C. Hector , Peter X. -K. Song

Data analysis based on information from several sources is common in economic and biomedical studies. This setting is often referred to as the data fusion problem, which differs from traditional missing data problems since no complete data…

Methodology · Statistics 2022-04-07 Wei Li , Shanshan Luo , Wangli Xu

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…

Methodology · Statistics 2015-01-19 Yuan Huang , Qingzhao Zhang , Sanguo Zhang , Jian Huang , Shuangge Ma

Multi-target regression is concerned with the simultaneous prediction of multiple continuous target variables based on the same set of input variables. It arises in several interesting industrial and environmental application domains, such…

Machine Learning · Computer Science 2015-05-05 Grigorios Tsoumakas , Eleftherios Spyromitros-Xioufis , Aikaterini Vrekou , Ioannis Vlahavas

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

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

Ultra high-throughput sequencing of transcriptomes (RNA-Seq) has enabled the accurate estimation of gene expression at individual isoform level. However, systematic biases introduced during the sequencing and mapping processes as well as…

Methodology · Statistics 2013-10-02 Hui Jiang , Julia Salzman

We propose a novel method to model nonlinear regression problems by adapting the principle of penalization to Partial Least Squares (PLS). Starting with a generalized additive model, we expand the additive component of each variable in…

Statistics Theory · Mathematics 2010-08-13 Nicole Kraemer , Anne-Laure Boulesteix , Gerhard Tutz

There is a growing need for flexible general frameworks that integrate individual-level data with external summary information for improved statistical inference. External information relevant for a risk prediction model may come in…

Methodology · Statistics 2023-04-11 Tian Gu , Jeremy M. G. Taylor , Bhramar Mukherjee