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The increased availability of massive data sets provides a unique opportunity to discover subtle patterns in their distributions, but also imposes overwhelming computational challenges. To fully utilize the information contained in big…

Statistics Theory · Mathematics 2018-04-12 Stanislav Volgushev , Shih-Kang Chao , Guang Cheng

This tutorial aims to provide signal processing (SP) and machine learning (ML) practitioners with vital tools, in an accessible way, to answer the question: How to deal with missing data? There are many strategies to handle incomplete…

Signal Processing · Electrical Eng. & Systems 2026-01-06 Alexandre Hippert-Ferrer , Aude Sportisse , Amirhossein Javaheri , Mohammed Nabil El Korso , Daniel P. Palomar

Objective: Researchers often use model-based multiple imputation to handle missing at random data to minimize bias while making the best use of all available data. However, there are sometimes constraints within the data that make…

Methodology · Statistics 2020-11-03 Chinchin Wang , Tyrel Stokes , Russell Steele , Niels Wedderkopp , Ian Shrier

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

Numerical data imputation algorithms replace missing values by estimates to leverage incomplete data sets. Current imputation methods seek to minimize the error between the unobserved ground truth and the imputed values. But this strategy…

Machine Learning · Statistics 2023-07-11 Florian Lalande , Kenji Doya

Missing data imputation can help improve the performance of prediction models in situations where missing data hide useful information. This paper compares methods for imputing missing categorical data for supervised classification tasks.…

Machine Learning · Statistics 2020-08-11 Jason Poulos , Rafael Valle

The ubiquity of missing values in real-world datasets poses a challenge for statistical inference and can prevent similar datasets from being analyzed in the same study, precluding many existing datasets from being used for new analyses.…

Machine Learning · Computer Science 2023-09-14 Sina Baharlouei , Kelechi Ogudu , Sze-chuan Suen , Meisam Razaviyayn

Many data mining and data analysis techniques operate on dense matrices or complete tables of data. Real-world data sets, however, often contain unknown values. Even many classification algorithms that are designed to operate with missing…

Neural and Evolutionary Computing · Computer Science 2013-12-20 Michael S. Gashler , Michael R. Smith , Richard Morris , Tony Martinez

Missing data imputation forms the first critical step of many data analysis pipelines. The challenge is greatest for mixed data sets, including real, Boolean, and ordinal data, where standard techniques for imputation fail basic sanity…

Methodology · Statistics 2020-06-17 Yuxuan Zhao , Madeleine Udell

The quality of datasets is a critical issue in big data mining. More interesting things could be mined from datasets with higher quality. The existence of missing values in geographical data would worsen the quality of big datasets. To…

Numerical Analysis · Mathematics 2020-02-21 Kaifeng Gao , Gang Mei , Salvatore Cuomo , Francesco Piccialli , Nengxiong Xu

In observational studies, the assumption of sufficient overlap (positivity) is fundamental for the identification and estimation of causal effects. Failing to account for this assumption yields inaccurate and potentially infeasible…

Methodology · Statistics 2025-04-07 Jaehyuk Jang , Suehyun Kim , Kwonsang Lee

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

Methodology · Statistics 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

Motivation: There is a growing need to integrate mechanistic models of biological processes with computational methods in healthcare in order to improve prediction. We apply data assimilation in the context of Type 2 diabetes to understand…

Missing values of varying patterns and rates in real-world tabular data pose a significant challenge in developing reliable data-driven models. The most commonly used statistical and machine learning methods for missing value imputation may…

Machine Learning · Computer Science 2025-03-26 Ibna Kowsar , Shourav B. Rabbani , Yina Hou , Manar D. Samad

Data collected in clinical trials are often composed of multiple types of variables. For example, laboratory measurements and vital signs are longitudinal data of continuous or categorical variables, adverse events may be recurrent events,…

Methodology · Statistics 2023-01-12 Tuo Wang , Rachel Zilinskas , Ying Li , Yongming Qu

Parameter estimation is one of the most important tasks in statistics, and is key to helping people understand the distribution behind a sample of observations. Traditionally parameter estimation is done either by closed-form solutions…

Machine Learning · Computer Science 2024-03-04 Xiaoxin Yin , David S. Yin

The problem of choosing appropriate values for missing data is often encountered in the data science. We describe a novel method containing both traditional mathematics and machine learning elements for prediction (imputation) of missing…

Machine Learning · Computer Science 2025-10-13 Peteris Daugulis , Vija Vagale , Emiliano Mancini , Filippo Castiglione

When fitting a generalized linear model -- such as a linear regression, a logistic regression, or a hierarchical linear model -- analysts often wonder how to handle missing values of the dependent variable Y. If missing values have been…

Methodology · Statistics 2017-03-27 Paul T. von Hippel

Motivation: Metabolomics data is typically scaled to a common reference like a constant volume of body fluid, a constant creatinine level, or a constant area under the spectrum. Such normalization of the data, however, may affect the…

This paper considers properties of an optimization based sampler for targeting the posterior distribution when the likelihood is intractable and auxiliary statistics are used to summarize information in the data. Our reverse sampler…

Methodology · Statistics 2015-12-02 Jean-Jacques Forneron , Serena Ng