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Ratings are frequently used to evaluate and compare subjects in various applications, from education to healthcare, because ratings provide succinct yet credible measures for comparing subjects. However, when multiple rating lists are…

Machine Learning · Statistics 2023-12-05 Young Woong Park , Jinhak Kim , Dan Zhu

We study multivariate linear regression under Gaussian covariates in two settings, where data may be erased or corrupted by an adversary under a coordinate-wise budget. In the incomplete data setting, an adversary may inspect the dataset…

Data Structures and Algorithms · Computer Science 2025-09-24 Ilias Diakonikolas , Jelena Diakonikolas , Daniel M. Kane , Jasper C. H. Lee , Thanasis Pittas

This paper introduces a novel iterative method for missing data imputation that sequentially reduces the mutual information between data and the corresponding missingness mask. Inspired by GAN-based approaches that train generators to…

Machine Learning · Statistics 2025-11-26 Jiahao Yu , Qizhen Ying , Leyang Wang , Ziyue Jiang , Song Liu

Missing data is an important challenge when dealing with high dimensional data arranged in the form of an array. In this paper, we propose methods for estimation of the parameters of array variate normal probability model from partially…

Methodology · Statistics 2015-01-06 Deniz Akdemir

Recommender systems often suffer from selection bias as users tend to rate their preferred items. The datasets collected under such conditions exhibit entries missing not at random and thus are not randomized-controlled trials representing…

Information Retrieval · Computer Science 2024-03-05 Wonbin Kweon , Hwanjo Yu

Techniques such as clusterization, neural networks and decision making usually rely on algorithms that are not well suited to deal with missing values. However, real world data frequently contains such cases. The simplest solution is to…

Machine Learning · Computer Science 2016-08-16 Davi E. N. Frossard , Igor O. Nunes , Renato A. Krohling

Multiple imputation (MI) has been widely applied to missing value problems in biomedical, social and econometric research, in order to avoid improper inference in the downstream data analysis. In the presence of high-dimensional data,…

Methodology · Statistics 2023-05-04 Zhiqi Bu , Zongyu Dai , Yiliang Zhang , Qi Long

Multiple imputation is a highly recommended technique to deal with missing data, but the application to longitudinal datasets can be done in multiple ways. When a new wave of longitudinal data arrives, we can treat the combined data of…

Methodology · Statistics 2026-05-18 X. M. Kavelaars , S. van Buuren , J. R. van Ginkel

Predictive mean matching (PMM) is a popular imputation strategy that imputes missing values by borrowing observed values from other cases with similar expectations. We show that, unlike other imputation strategies, PMM is not guaranteed to…

Methodology · Statistics 2025-07-01 Paul T. von Hippel

Missing data is a ubiquitous challenge in data analysis, often leading to biased and inaccurate results. Traditional imputation methods usually assume that the missingness mechanism is missing-at-random (MAR), where the missingness is…

Methodology · Statistics 2026-03-30 Huiming Xie , Fei Xue , Xiao Wang

We are concerned in clustering continuous data sets subject to non-ignorable missingness. We perform clustering with a specific semi-parametric mixture, under the assumption of conditional independence given the component. The mixture model…

Methodology · Statistics 2021-07-20 Marie Du Roy de Chaumaray , Matthieu Marbac

Missing values are a fundamental problem in data science. Many datasets have missing values that must be properly handled because the way missing values are treated can have large impact on the resulting machine learning model. In medical…

Machine Learning · Computer Science 2023-04-25 Zhi Chen , Sarah Tan , Urszula Chajewska , Cynthia Rudin , Rich Caruana

Gaussian mixtures are commonly used for modeling heavy-tailed error distributions in robust linear regression. Combining the likelihood of a multivariate robust linear regression model with a standard improper prior distribution yields an…

Statistics Theory · Mathematics 2023-01-05 Haoxiang Li , Qian Qin , Galin L. Jones

Multiple imputation (MI) has become one of the main procedures used to treat missing data, but the guidelines from the methodological literature are not easily transferred to multilevel research. For models including random slopes, proper…

Methodology · Statistics 2016-06-30 Simon Grund , Oliver Lüdtke , Alexander Robitzsch

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

Incomplete instances with various missing attributes in many real-world applications have brought challenges to the classification tasks. Missing values imputation methods are often employed to replace the missing values with substitute…

Machine Learning · Computer Science 2021-07-02 Buliao Huang , Yunhui Zhu , Muhammad Usman , Huanhuan Chen

The Expectation-Maximization (EM) algorithm is a fundamental tool in unsupervised machine learning. It is often used as an efficient way to solve Maximum Likelihood (ML) estimation problems, especially for models with latent variables. It…

Quantum Physics · Physics 2020-07-08 Iordanis Kerenidis , Alessandro Luongo , Anupam Prakash

Widely used methods for analyzing missing data can be biased in small samples. To understand these biases, we evaluate in detail the situation where a small univariate normal sample, with values missing at random, is analyzed using either…

Statistics Theory · Mathematics 2017-03-27 Paul T. von Hippel

In this article, we consider the problem of reconstructing networks for continuous, binary, count and discrete ordinal variables by estimating sparse precision matrix in Gaussian copula graphical models. We propose two approaches: $\ell_1$…

Methodology · Statistics 2014-01-22 Fentaw Abegaz , Ernst Wit