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Conducting valid statistical analyses is challenging in the presence of missing-not-at-random (MNAR) data, where the missingness mechanism is dependent on the missing values themselves even conditioned on the observed data. Here, we…

Methodology · Statistics 2023-06-13 Anna Guo , Jiwei Zhao , Razieh Nabi

This paper reviews recent advances in missing data research using graphical models to represent multivariate dependencies. We first examine the limitations of traditional frameworks from three different perspectives: \textit{transparency,…

Methodology · Statistics 2019-11-15 Karthika Mohan , Judea Pearl

Model-based unsupervised learning, as any learning task, stalls as soon as missing data occurs. This is even more true when the missing data are informative, or said missing not at random (MNAR). In this paper, we propose model-based…

Real-world datasets often have missing values associated with complex generative processes, where the cause of the missingness may not be fully observed. This is known as missing not at random (MNAR) data. However, many imputation methods…

Machine Learning · Computer Science 2021-10-29 Chao Ma , Cheng Zhang

We present a method for incorporating missing data in non-parametric statistical learning without the need for imputation. We focus on a tree-based method, Bayesian Additive Regression Trees (BART), enhanced with "Missingness Incorporated…

Machine Learning · Statistics 2014-02-14 Adam Kapelner , Justin Bleich

Data analysis usually suffers from the Missing Not At Random (MNAR) problem, where the cause of the value missing is not fully observed. Compared to the naive Missing Completely At Random (MCAR) problem, it is more in line with the…

Machine Learning · Computer Science 2025-05-27 Jialei Chen , Yuanbo Xu , Pengyang Wang , Yongjian Yang

Graphical network inference is used in many fields such as genomics or ecology to infer the conditional independence structure between variables, from measurements of gene expression or species abundances for instance. In many practical…

Methodology · Statistics 2018-03-22 Geneviève Robin , Christophe Ambroise , Stéphane Robin

We introduce the concept of pattern graphs--directed acyclic graphs representing how response patterns are associated. A pattern graph represents an identifying restriction that is nonparametrically identified/saturated and is often a…

Methodology · Statistics 2020-12-04 Yen-Chi Chen

We propose a constructive algorithm for identifying complete data distributions in graphical models of missing data. The complete data distribution is unrestricted, while the missingness mechanism is assumed to factorize according to a…

Methodology · Statistics 2026-02-12 Anna Guo , Razieh Nabi

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

Dealing with missing data poses significant challenges in predictive analysis, often leading to biased conclusions when oversimplified assumptions about the missing data process are made. In cases where the data are missing not at random…

Methodology · Statistics 2024-12-20 Yong Chen Goh , Wuu Kuang Soh , Andrew C. Parnell , Keefe Murphy

Sensitivity analysis is popular in dealing with missing data problems particularly for non-ignorable missingness. It analyses how sensitively the conclusions may depend on assumptions about missing data e.g. missing data mechanism (MDM). We…

Methodology · Statistics 2015-01-26 Peng Yin , Jian Qing Shi

We present an approach for imputation of missing items in multivariate categorical data nested within households. The approach relies on a latent class model that (i) allows for household level and individual level variables, (ii) ensures…

Methodology · Statistics 2018-07-05 Olanrewaju Akande , Jerome Reiter , Andrés F. Barrientos

Decision trees are a popular family of models due to their attractive properties such as interpretability and ability to handle heterogeneous data. Concurrently, missing data is a prevalent occurrence that hinders performance of machine…

Machine Learning · Computer Science 2020-07-01 Pasha Khosravi , Antonio Vergari , YooJung Choi , Yitao Liang , Guy Van den Broeck

Data analyses typically rely upon assumptions about missingness mechanisms that lead to observed versus missing data. When the data are missing not at random, direct assumptions about the missingness mechanism, and indirect assumptions…

Methodology · Statistics 2016-03-22 Alexander M Franks , Edoardo M Airoldi , Donald B Rubin

New applications of data mining, such as in biology, bioinformatics, or sociology, are faced with large datasetsstructured as graphs. We introduce a novel class of tree-shapedpatterns called tree queries, and present algorithms for…

Databases · Computer Science 2010-08-17 Eveline Hoekx , Jan Van den Bussche

When data are missing due to at most one cause from some time to next time, we can make sampling distribution inferences about the parameter of the data by modeling the missing-data mechanism correctly. Proverbially, in case its mechanism…

Methodology · Statistics 2014-07-21 Kosuke Morikawa , Yutaka Kano

We investigate regression for variable length sequential data containing missing samples and introduce a novel tree architecture based on the Long Short-Term Memory (LSTM) networks. In our architecture, we employ a variable number of LSTM…

Machine Learning · Computer Science 2020-05-26 S. Onur Sahin , Suleyman S. Kozat

The analysis of incomplete contingency tables is a practical and an interesting problem. In this paper, we provide characterizations for the various missing mechanisms of a variable in terms of response and non-response odds for two and…

Methodology · Statistics 2018-11-27 S. Ghosh , P. Vellaisamy

Tensor completion plays a crucial role in applications such as recommender systems and medical imaging, where data are often highly incomplete. While extensive prior work has addressed tensor completion with data missingness, most assume…

Methodology · Statistics 2025-09-10 Maoyu Zhang , Biao Cai , Will Wei Sun , Jingfei Zhang
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