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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

Transfer learning refers to the promising idea of initializing model fits based on pre-training on other data. We particularly consider regression modeling settings where parameter estimates from previous data can be used as anchoring…

Methodology · Statistics 2020-07-07 Wessel N. van Wieringen , Harald Binder

We consider the application of a popular penalised regression method, Ridge Regression, to data with very high dimensions and many more covariates than observations. Our motivation is the problem of out-of-sample prediction and the setting…

Applications · Statistics 2012-05-04 Erika Cule , Maria De Iorio

Challenging research in various fields has driven a wide range of methodological advances in variable selection for regression models with high-dimensional predictors. In comparison, selection of nonlinear functions in models with additive…

Methodology · Statistics 2013-03-05 Fabian Scheipl , Thomas Kneib , Ludwig Fahrmeir

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

This article deals with the analysis of high dimensional data that come from multiple sources (experiments) and thus have different possibly correlated responses, but share the same set of predictors. The measurements of the predictors may…

Methodology · Statistics 2020-07-01 Guorong Dai , Ursula U. Müller , Raymond J. Carroll

Penalized likelihood approaches are widely used for high-dimensional regression. Although many methods have been proposed and the associated theory is now well-developed, the relative efficacy of different approaches in finite-sample…

Methodology · Statistics 2020-01-29 Fan Wang , Sach Mukherjee , Sylvia Richardson , Steven M. Hill

Regression is typically treated as a curve-fitting process where the goal is to fit a prediction function to data. With the help of conditional generative adversarial networks, we propose to solve this age-old problem in a different way; we…

Machine Learning · Computer Science 2024-04-23 Deddy Jobson , Eddy Hudson

High-dimensional prediction considers data with more variables than samples. Generic research goals are to find the best predictor or to select variables. Results may be improved by exploiting prior information in the form of co-data,…

Methodology · Statistics 2022-05-17 Mirrelijn M. van Nee , Lodewyk F. A. Wessels , Mark A. van de Wiel

This paper studies macroeconomic forecasting and variable selection using a folded-concave penalized regression with a very large number of predictors. The penalized regression approach leads to sparse estimates of the regression…

Applications · Statistics 2017-03-07 Yoshimasa Uematsu , Shinya Tanaka

Distributional regression aims to estimate the full conditional distribution of a target variable, given covariates. Popular methods include linear and tree-ensemble based quantile regression. We propose a neural network-based…

Methodology · Statistics 2024-07-08 Xinwei Shen , Nicolai Meinshausen

Challenges with data in the big-data era include (i) the dimension $p$ is often larger than the sample size $n$ (ii) outliers or contaminated points are frequently hidden and more difficult to detect. Challenge (i) renders most conventional…

Machine Learning · Statistics 2023-09-06 Yijun Zuo

This article considers a linear model in a high dimensional data scenario. We propose a process which uses multiple loss functions both to select relevant predictors and to estimate parameters, and study its asymptotic properties. Variable…

Methodology · Statistics 2020-07-01 Guorong Dai , Ursula U. Müller

Classical penalized likelihood regression problems deal with the case that the independent variables data are known exactly. In practice, however, it is common to observe data with incomplete covariate information. We are concerned with a…

Methodology · Statistics 2010-08-04 Xiwen Ma , Bin Dai , Ronald Klein , Barbara E. K. Klein , Kristine E. Lee , Grace Wahba

Estimating causal effects from observational data informs us about which factors are important in an autonomous system, and enables us to take better decisions. This is important because it has applications in selecting a treatment in…

Machine Learning · Computer Science 2021-10-29 Plabon Shaha , Talha Islam Zadid , Ismat Rahman , Md. Mosaddek Khan

The identification of predictive biomarkers from a large scale of covariates for subgroup analysis has attracted fundamental attention in medical research. In this article, we propose a generalized penalized regression method with a novel…

Methodology · Statistics 2019-04-29 Chong Ma , Wenxuan Deng , Shuangge Ma , Ray Liu , Kevin Galinsky

We propose a Bayesian tensor regression model to accommodate the effect of multiple factors on phenotype prediction. We adopt a set of prior distributions that resolve identifiability issues that may arise between the parameters in the…

Machine Learning · Statistics 2025-11-04 Antonia A. L. Dos Santos , Danilo A. Sarti , Rafael A. Moral , Andrew C. Parnell

Additive regression provides an extension of linear regression by modeling the signal of a response as a sum of functions of covariates of relatively low complexity. We study penalized estimation in high-dimensional nonparametric additive…

Statistics Theory · Mathematics 2017-04-25 Zhiqiang Tan , Cun-Hui Zhang

Gene expression-based heterogeneity analysis has been extensively conducted. In recent studies, it has been shown that network-based analysis, which takes a system perspective and accommodates the interconnections among genes, can be more…

Methodology · Statistics 2023-08-09 Rong Li , Qingzhao Zhang , Shuangge Ma

Data scarcity is a tremendous challenge in causal effect estimation. In this paper, we propose to exploit additional data sources to facilitate estimating causal effects in the target population. Specifically, we leverage additional source…

Machine Learning · Computer Science 2021-06-01 Thanh Vinh Vo , Pengfei Wei , Trong Nghia Hoang , Tze-Yun Leong
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