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Principal component regression (PCR) is a two-stage procedure that selects some principal components and then constructs a regression model regarding them as new explanatory variables. Note that the principal components are obtained from…

Machine Learning · Statistics 2015-05-12 Shuichi Kawano , Hironori Fujisawa , Toyoyuki Takada , Toshihiko Shiroishi

This paper proposes a new method and algorithm for predicting multivariate responses in a regression setting. Research into classification of High Dimension Low Sample Size (HDLSS) data, in particular microarray data, has made considerable…

Methodology · Statistics 2008-07-28 Inge Koch , Kanta Naito

Piecewise regression is a versatile approach used in various disciplines to approximate complex functions from limited, potentially noisy data points. In control, piecewise regression is, e.g., used to approximate the optimal control law of…

Optimization and Control · Mathematics 2024-07-10 Dieter Teichrib , Moritz Schulze Darup

Auxiliary information is frequently utilized in survey sampling to improve the efficiency of estimators of the finite population mean. However, the simultaneous use of multiple auxiliary variables often induces multicollinearity, which…

Methodology · Statistics 2026-04-30 Rajesh Singh , Shobh Nath Tiwari

Dealing with missing data is an important problem in statistical analysis that is often addressed with imputation procedures. The performance and validity of such methods are of great importance for their application in empirical studies.…

Applications · Statistics 2024-01-19 Jakob Schwerter , Ketevan Gurtskaia , Andrés Romero , Birgit Zeyer-Gliozzo , Markus Pauly

Background: Existing guidelines for handling missing data are generally not consistent with the goals of prediction modelling, where missing data can occur at any stage of the model pipeline. Multiple imputation (MI), often heralded as the…

Methodology · Statistics 2022-06-27 Rose Sisk , Matthew Sperrin , Niels Peek , Maarten van Smeden , Glen P. Martin

Multiple imputation (MI) is an established technique to handle missing data in observational studies. Joint modeling (JM) and fully conditional specification (FCS) are commonly used methods for imputing multilevel clustered data. However,…

Methodology · Statistics 2022-09-28 Mei Dong , Aya Mitani

Monotone missing data is a common problem in data analysis. However, imputation combined with dimensionality reduction can be computationally expensive, especially with the increasing size of datasets. To address this issue, we propose a…

Time-series analysis is often affected by missing data, a common problem across several fields, including healthcare and environmental monitoring. Multiple Imputation by Chained Equations (MICE) has been prominent for imputing missing…

Machine Learning · Statistics 2026-04-10 Amuche Ibenegbu , Pierre Lafaye de Micheaux , Rohitash Chandra

Missing covariate data commonly occur in epidemiological and clinical research, and are often dealt with using multiple imputation (MI). Imputation of partially observed covariates is complicated if the substantive model is non-linear (e.g.…

Methodology · Statistics 2014-02-17 Jonathan W. Bartlett , Shaun R. Seaman , Ian R. White , James R. Carpenter

Including a large number of predictors in the imputation model underlying a multiple imputation (MI) procedure is one of the most challenging tasks imputers face. A variety of high-dimensional MI techniques can help, but there has been…

Methodology · Statistics 2023-08-15 Edoardo Costantini , Kyle M. Lang , Tim Reeskens , Klaas Sijtsma

Missing values pose a persistent challenge in modern data science. Consequently, there is an ever-growing number of publications introducing new imputation methods in various fields. While many studies compare imputation approaches, they…

Computation · Statistics 2025-11-10 Krystyna Grzesiak , Christophe Muller , Julie Josse , Jeffrey Näf

Multiple imputation (MI) is a method for repairing and analyzing data with missing values. MI replaces missing values with a sample of random values drawn from an imputation model. The most popular form of MI, which we call posterior draw…

Methodology · Statistics 2019-11-18 Paul T. von Hippel , Jonathan Bartlett

Multiple imputation (MI) is a popular method for handling missing data. Auxiliary variables can be added to the imputation model(s) to improve MI estimates. However, the choice of which auxiliary variables to include in the imputation model…

Multiple imputation provides us with efficient estimators in model-based methods for handling missing data under the true model. It is also well-understood that design-based estimators are robust methods that do not require accurately…

Methodology · Statistics 2020-06-11 Kyunghee Han , Pamela A. Shaw , Thomas Lumley

Background: Multiple imputation is often used to reduce bias and gain efficiency when there is missing data. The most appropriate imputation method depends on the model the analyst is interested in fitting. Several imputation approaches…

Methodology · Statistics 2022-11-29 Matthew J. Smith , Matteo Quartagno , Edmund Njeru Njagi

We consider the Sparse Principal Component Analysis (SPCA) problem under the well-known spiked covariance model. Recent work has shown that the SPCA problem can be reformulated as a Mixed Integer Program (MIP) and can be solved to global…

Methodology · Statistics 2026-04-06 Kayhan Behdin , Rahul Mazumder

Inverse probability of treatment weighting (IPTW) is a popular propensity score (PS)-based approach to estimate causal effects in observational studies at risk of confounding bias. A major issue when estimating the PS is the presence of…

Principal component regression (PCR) is a two-stage procedure: the first stage performs principal component analysis (PCA) and the second stage constructs a regression model whose explanatory variables are replaced by principal components…

Machine Learning · Statistics 2021-11-22 Shuichi Kawano

Data collection often results in records that have missing values or variables. This investigation compares 3 different data imputation models and identifies their merits by using accuracy measures. Autoencoder Neural Networks, Principal…

Artificial Intelligence · Computer Science 2007-09-18 Vukosi N. Marivate , Fulufhelo V. Nelwamodo , Tshilidzi Marwala