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In this paper, for Lasso penalized linear regression models in high-dimensional settings, we propose a modified cross-validation method for selecting the penalty parameter. The methodology is extended to other penalties, such as Elastic…

Methodology · Statistics 2013-09-10 Yi Yu , Yang Feng

As modern neural networks get more complex, specifying a model with high predictive performance and sound uncertainty quantification becomes a more challenging task. Despite some promising theoretical results on the true posterior…

Machine Learning · Computer Science 2025-06-18 Alisa Sheinkman , Sara Wade

Recently many regularized estimators of large covariance matrices have been proposed, and the tuning parameters in these estimators are usually selected via cross-validation. However, there is no guideline on the number of folds for…

Methodology · Statistics 2013-08-16 Yixin Fang , Binhuan Wang , Yang Feng

Model averaging is an important alternative to model selection with attractive prediction accuracy. However, its application to high-dimensional data remains under-explored. We propose a high-dimensional model averaging method via…

Statistics Theory · Mathematics 2025-06-11 Zhengyan Wan , Fang Fang , Binyan Jiang

Variational Bayes (VB) provides a computationally efficient alternative to Markov Chain Monte Carlo, especially for high-dimensional and large-scale inference. However, existing theory on VB primarily focuses on fixed-dimensional settings…

Statistics Theory · Mathematics 2025-08-05 Jiawei Yan , Peirong Xu , Tao Wang

Cross-validation techniques for risk estimation and model selection are widely used in statistics and machine learning. However, the understanding of the theoretical properties of learning via model selection with cross-validation risk…

Machine Learning · Statistics 2024-05-27 Diego Marcondes , Cláudia Peixoto

This article presents a form of bi-cross-validation (BCV) for choosing the rank in outer product models, especially the singular value decomposition (SVD) and the nonnegative matrix factorization (NMF). Instead of leaving out a set of rows…

Applications · Statistics 2009-08-17 Art B. Owen , Patrick O. Perry

A criterion is proposed for testing hypothesis about the nature of the error variance in the dependent variable in linear model, which separates correctly and incorrectly specified models. In the former only measurement errors determine the…

Methodology · Statistics 2019-11-19 Alexander Kukush , Igor Mandel

In model development, model calibration and validation play complementary roles toward learning reliable models. In this article, we expand the Bayesian Validation Metric framework to a general calibration and validation framework by…

Methodology · Statistics 2020-08-04 Tony Tohme , Kevin Vanslette , Kamal Youcef-Toumi

A cross-benchmark has been done on three critical aspects, data imputing, feature selection and regression algorithms, for machine learning based chemical vapor deposition (CVD) virtual metrology (VM). The result reveals that linear feature…

Machine Learning · Computer Science 2021-07-29 Yunsong Xie , Ryan Stearrett

Markov Chain Monte Carlo (MCMC) sampling is computationally expensive, especially for complex models. Alternative methods make simplifying assumptions about the posterior to reduce computational burden, but their impact on predictive…

Computation · Statistics 2025-10-27 Florian D. van Leeuwen , Sara van Erp

Model selection is difficult to analyse yet theoretically and empirically important, especially for high-dimensional data analysis. Recently the least absolute shrinkage and selection operator (Lasso) has been applied in the statistical and…

Machine Learning · Statistics 2016-06-02 Ning Xu , Jian Hong , Timothy C. G. Fisher

Leave-one-out cross-validation (LOO-CV) is a popular method for estimating out-of-sample predictive accuracy. However, computing LOO-CV criteria can be computationally expensive due to the need to fit the model multiple times. In the…

Computation · Statistics 2023-09-28 Luca Silva , Giacomo Zanella

An alternative to current mainstream preprocessing methods is proposed: Value Selection (VS). Unlike the existing methods such as feature selection that removes features and instance selection that eliminates instances, value selection…

Machine Learning · Computer Science 2020-07-10 Gunarto Sindoro Njoo , Baihua Zheng , Kuo-Wei Hsu , Wen-Chih Peng

A mean field variational Bayes approach to support vector machines (SVMs) using the latent variable representation on Polson & Scott (2012) is presented. This representation allows circumvention of many of the shortcomings associated with…

Methodology · Statistics 2013-05-14 Jan Luts , John T. Ormerod

This paper addresses feature subset selection for Support Vector Machines (SVMs) based on the cross-validation criterion. Unlike statistical criteria such as the Akaike information criterion (AIC) and the Bayesian information criterion…

Optimization and Control · Mathematics 2026-05-11 Masaharu Mori , Shunnosuke Ikeda , Ryuta Tamura , Yuichi Takano , Ryuhei Miyashiro

Zero-variance control variates (ZV-CV) are a post-processing method to reduce the variance of Monte Carlo estimators of expectations using the derivatives of the log target. Once the derivatives are available, the only additional…

Computation · Statistics 2022-08-17 Leah F. South , Chris J. Oates , Antonietta Mira , Christopher Drovandi

We propose a new test case prioritization technique that combines both mutation-based and diversity-based approaches. Our diversity-aware mutation-based technique relies on the notion of mutant distinguishment, which aims to distinguish one…

Software Engineering · Computer Science 2018-01-24 Donghwan Shin , Shin Yoo , Mike Papadakis , Doo-Hwan Bae

Virtual cell (VC) models aim to predict cellular responses to any perturbations in silico and have emerged as a promising approach for drug discovery and precision medicine. Yet, a clear gap still remains: while models routinely reported…

Cell Behavior · Quantitative Biology 2026-05-01 Xinjie Mao , Songming Zhang , Qianhong Wen , Xiangyu Wen , Kedu Jin , Hao Wu , Shuizhou Chen , Yuqiang Li , Lei Bai , Qi Liu , Ning Ding , Siqi Sun , Zhangyang Gao

Data visualizations typically show retrospective views of an existing dataset with little or no focus on repeatability. However, consumers of these tools often use insights gleaned from retrospective visualizations as the basis for…

Human-Computer Interaction · Computer Science 2019-11-13 David Gotz , Brandon A. Price , Annie T. Chen