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Singular Value Decomposition (SVD) is a powerful tool for multivariate analysis. However, independent computation of the SVD for each sample taken from a bandlimited matrix random process will result in singular value sample paths whose…

Statistics Theory · Mathematics 2007-06-13 D. W. Browne , M. W. Browne , M. P. Fitz

The singular value decomposition (SVD) is a powerful tool in modern numerical linear algebra, which underpins computational methods such as principal component analysis (PCA), low-rank approximations, and randomized algorithms. Many…

Mathematical Software · Computer Science 2026-04-10 Ahmad Abdelfattah , Massimiliano Fasi

Data management is becoming increasingly important in dealing with the large amounts of data produced by large-scale scientific simulations and instruments. Existing multilevel compression algorithms offer a promising way to manage…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-12 Xin Liang , Ben Whitney , Jieyang Chen , Lipeng Wan , Qing Liu , Dingwen Tao , James Kress , Dave Pugmire , Matthew Wolf , Norbert Podhorszki , Scott Klasky

Multi-level modeling is an important approach for analyzing complex survey data using multi-stage sampling. However, estimation of multi-level models can be challenging when we combine several datasets with distinct hierarchies with…

Methodology · Statistics 2023-09-26 Seho Park , A James OMalley

We study the problem of imputing missing values in a dataset, which has important applications in many domains. The key to missing value imputation is to capture the data distribution with incomplete samples and impute the missing values…

Machine Learning · Computer Science 2023-06-26 He Zhao , Ke Sun , Amir Dezfouli , Edwin Bonilla

In many contexts, we have access to aggregate data, but individual level data is unavailable. For example, medical studies sometimes report only aggregate statistics about disease prevalence because of privacy concerns. Even so, many a time…

Machine Learning · Computer Science 2018-09-18 Sanket Tavarageri , Nag Mani , Anand Ramasubramanian , Jaskiran Kalsi

We propose a new method to impute missing values in mixed datasets. It is based on a principal components method, the factorial analysis for mixed data, which balances the influence of all the variables that are continuous and categorical…

Applications · Statistics 2013-02-20 Vincent Audigier , François Husson , Julie Josse

We aim to incorporate variable selection routines into variable-by-variable (or sequential) imputation in clustered data to achieve computational improvement in applications with large-scale health data. Specifically, we utilize variable…

Methodology · Statistics 2025-04-08 Qiushuang Li , Recai Yucel

Missing data is a systemic problem in practical scenarios that causes noise and bias when estimating treatment effects. This makes treatment effect estimation from data with missingness a particularly tricky endeavour. A key reason for this…

Machine Learning · Statistics 2023-02-27 Jeroen Berrevoets , Fergus Imrie , Trent Kyono , James Jordon , Mihaela van der Schaar

In biomedical science, a set of objects or persons can often be described by multiple distinct sets of features obtained from different data sources or modalities (called "multi-view data"). Classical machine learning methods ignore the…

Computation · Statistics 2025-04-25 Wouter van Loon

We propose a method called integrated diffusion for combining multimodal datasets, or data gathered via several different measurements on the same system, to create a joint data diffusion operator. As real world data suffers from both local…

Machine Learning · Computer Science 2022-03-07 Manik Kuchroo , Abhinav Godavarthi , Alexander Tong , Guy Wolf , Smita Krishnaswamy

We present and compare multiple imputation methods for multilevel continuous and binary data where variables are systematically and sporadically missing. The methods are compared from a theoretical point of view and through an extensive…

The traditional method of computing singular value decomposition (SVD) of a data matrix is based on a least squares principle, thus, is very sensitive to the presence of outliers. Hence the resulting inferences across different applications…

Statistics Theory · Mathematics 2024-09-17 Subhrajyoty Roy , Abhik Ghosh , Ayanendranath Basu

Background: Missing data is a common challenge in mass spectrometry-based metabolomics, which can lead to biased and incomplete analyses. The integration of whole-genome sequencing (WGS) data with metabolomics data has emerged as a…

Missing observations are common in cluster randomised trials. Approaches taken to handling such missing data include: complete case analysis, single-level multiple imputation that ignores the clustering, multiple imputation with a fixed…

Methodology · Statistics 2014-07-18 Karla Diaz-Ordaz , Michael G. Kenward , Manuel Gomes , Richard Grieve

Missing data arises when certain values are not recorded or observed for variables of interest. However, most of the statistical theory assume complete data availability. To address incomplete databases, one approach is to fill the gaps…

Dealing with missing data in data analysis is inevitable. Although powerful imputation methods that address this problem exist, there is still much room for improvement. In this study, we examined single imputation based on deep…

Machine Learning · Computer Science 2020-04-07 Najmeh Abiri , Björn Linse , Patrik Edén , Mattias Ohlsson

Multiple sets of measurements on the same objects obtained from different platforms may reflect partially complementary information of the studied system. The integrative analysis of such data sets not only provides us with the opportunity…

Methodology · Statistics 2020-10-15 Yipeng Song , Johan A. Westerhuis , Age K. Smilde

Missing values are a common problem in data science and machine learning. Removing instances with missing values can adversely affect the quality of further data analysis. This is exacerbated when there are relatively many more features…

Machine Learning · Computer Science 2023-01-03 Ekaterina Antonenko , Jesse Read

The integration of data from multiple sources is increasingly used to achieve larger sample sizes and enhance population diversity. Our previous work established that, under random sampling from the same underlying population, integrating…

Methodology · Statistics 2026-01-01 Farimah Shamsi , Andriy Derkach