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Missing data is a common problem in medical research, and is commonly addressed using multiple imputation. Although traditional imputation methods allow for valid statistical inference when data are missing at random (MAR), their…

Multiple imputation by chained equations (MICE) has emerged as a popular approach for handling missing data. A central challenge for applying MICE is determining how to incorporate outcome information into covariate imputation models,…

Methodology · Statistics 2019-10-11 Lauren Beesley , Jeremy M G Taylor

Mutual information (MI) is a general measure of statistical dependence with widespread application across the sciences. However, estimating MI between multi-dimensional variables is challenging because the number of samples necessary to…

Quantitative Methods · Quantitative Biology 2025-03-06 Gokul Gowri , Xiao-Kang Lun , Allon M. Klein , Peng Yin

The problems of computational data processing involving regression, interpolation, reconstruction and imputation for multidimensional big datasets are becoming more important these days, because of the availability of data and their widely…

Methodology · Statistics 2017-03-22 Yuri K. Shestopaloff , Alexander Y. Shestopaloff

In the supervised high dimensional settings with a large number of variables and a low number of individuals, one objective is to select the relevant variables and thus to reduce the dimension. That subspace selection is often managed with…

Machine Learning · Statistics 2019-01-15 Hadrien Lorenzo , Jérôme Saracco , Rodolphe Thiébaut

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 present DeepMVI, a deep learning method for missing value imputation in multidimensional time-series datasets. Missing values are commonplace in decision support platforms that aggregate data over long time stretches from disparate…

Machine Learning · Computer Science 2023-06-22 Parikshit Bansal , Prathamesh Deshpande , Sunita Sarawagi

Most data sets comprise of measurements on continuous and categorical variables. In regression and classification Statistics literature, modeling high-dimensional mixed predictors has received limited attention. In this paper we study the…

Statistics Theory · Mathematics 2021-10-26 Efstathia Bura , Liliana Forzani , Rodrigo García Arancibia , Pamela Llop , Diego Tomassi

We present a framework for generating multiple imputations for continuous data when the missing data mechanism is unknown. Imputations are generated from more than one imputation model in order to incorporate uncertainty regarding the…

Applications · Statistics 2013-01-14 Juned Siddique , Ofer Harel , Catherine M. Crespi

Although data may be abundant, complete data is less so, due to missing columns or rows. This missingness undermines the performance of downstream data products that either omit incomplete cases or create derived completed data for…

Machine Learning · Computer Science 2020-06-26 Haw-minn Lu , Giancarlo Perrone , José Unpingco

Due to complex experimental settings, missing values are common in biomedical data. To handle this issue, many methods have been proposed, from ignoring incomplete instances to various data imputation approaches. With the recent rise of…

Machine Learning · Computer Science 2020-05-14 Kristian Miok , Dong Nguyen-Doan , Marko Robnik-Šikonja , Daniela Zaharie

This paper addresses the problem of mapping high-dimensional data to a low-dimensional space, in the presence of other known features. This problem is ubiquitous in science and engineering as there are often controllable/measurable features…

Machine Learning · Statistics 2024-01-01 Anh Tuan Bui

Two-phase sampling designs have been widely adopted in epidemiological studies to reduce costs when measuring certain biomarkers is prohibitively expensive. Under these designs, investigators commonly relate survival outcomes to risk…

Methodology · Statistics 2025-12-12 Jooho Kim , Yei Eun Shin

Dimensionality reduction techniques play important roles in the analysis of big data. Traditional dimensionality reduction approaches, such as principal component analysis (PCA) and linear discriminant analysis (LDA), have been studied…

Machine Learning · Computer Science 2018-05-31 Haozhe Xie , Jie Li , Hanqing Xue

The scalability of statistical estimators is of increasing importance in modern applications. One approach to implementing scalable algorithms is to compress data into a low dimensional latent space using dimension reduction methods. In…

Machine Learning · Statistics 2015-04-14 Gregory Darnell , Stoyan Georgiev , Sayan Mukherjee , Barbara E Engelhardt

Two different approaches exist to handle missing values for prediction: either imputation, prior to fitting any predictive algorithms, or dedicated methods able to natively incorporate missing values. While imputation is widely (and easily)…

Statistics Theory · Mathematics 2023-02-01 Alexis Ayme , Claire Boyer , Aymeric Dieuleveut , Erwan Scornet

Multiple imputation (MI) models can be improved by including auxiliary covariates (AC), but their performance in high-dimensional data is not well understood. We aimed to develop and compare high-dimensional MI (HDMI) approaches using…

We introduce a new method of performing high dimensional discriminant analysis, which we call multiDA. We achieve this by constructing a hybrid model that seamlessly integrates a multiclass diagonal discriminant analysis model and feature…

Machine Learning · Statistics 2018-07-05 Sarah Elizabeth Romanes , John Thomas Ormerod , Jean YH Yang

Multiple imputation (MI) is a popular method for dealing with missing values. One main advantage of MI is to separate the imputation phase and the analysis one. However, both are related since they are based on distribution assumptions that…

Methodology · Statistics 2021-06-09 Vincent Audigier , Ndèye Niang , Matthieu Resche-Rigon

Missing data is inevitable in longitudinal clinical trials. Conventionally, the missing at random assumption is assumed to handle missingness, which however is unverifiable empirically. Thus, sensitivity analysis is critically important to…

Methodology · Statistics 2022-03-18 Siyi Liu , Shu Yang , Yilong Zhang , Guanghan , Liu
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