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Missing data are frequently encountered in various disciplines and can be divided into three categories: missing completely at random (MCAR), missing at random (MAR) and missing not at random (MNAR). Valid statistical approaches to missing…

Methodology · Statistics 2021-05-28 Hairu Wang , Zhiping Lu , Yukun Liu

Deep latent variable models learn condensed representations of data that, hopefully, reflect the inner workings of the studied phenomena. Unfortunately, these latent representations are not statistically identifiable, meaning they cannot be…

Machine Learning · Statistics 2025-06-02 Stas Syrota , Yevgen Zainchkovskyy , Johnny Xi , Benjamin Bloem-Reddy , Søren Hauberg

Disentangled representation learning aims to uncover latent variables underlying the observed data, and generally speaking, rather strong assumptions are needed to ensure identifiability. Some approaches rely on sufficient changes on the…

Machine Learning · Computer Science 2025-03-04 Zijian Li , Shunxing Fan , Yujia Zheng , Ignavier Ng , Shaoan Xie , Guangyi Chen , Xinshuai Dong , Ruichu Cai , Kun Zhang

We study the problem of missing not at random (MNAR) datasets with binary outcomes. We propose an exponential tilt based approach that bypasses any knowledge on 'nonresponse instruments' or 'shadow variables' that are usually required for…

Methodology · Statistics 2025-02-11 Subha Maity

Datasets with missing values are very common on industry applications, and they can have a negative impact on machine learning models. Recent studies introduced solutions to the problem of imputing missing values based on deep generative…

Machine Learning · Computer Science 2019-02-28 Ramiro D. Camino , Christian A. Hammerschmidt , Radu State

Multiple imputation (MI) has become popular for analyses with missing data in medical research. The standard implementation of MI is based on the assumption of data being missing at random (MAR). However, for missing data generated by…

Methodology · Statistics 2019-01-03 Tra My Pham , James R Carpenter , Tim P Morris , Angela M Wood , Irene Petersen

Missing data is a fundamental challenge in data science, significantly hindering analysis and decision-making across a wide range of disciplines, including healthcare, bioinformatics, social science, e-commerce, and industrial monitoring.…

Machine Learning · Statistics 2026-05-12 Jicong Fan

Semi-Supervised Learning (SSL) is implemented when algorithms are trained on both labeled and unlabeled data. This is a very common application of ML as it is unrealistic to obtain a fully labeled dataset. Researchers have tackled three…

Machine Learning · Computer Science 2023-08-16 Jason Lu , Michael Ma , Huaze Xu , Zixi Xu

Commonly used methods to analyze incomplete longitudinal clinical trial data include complete case analysis (CC) and last observation carried forward (LOCF). However, such methods rest on strong assumptions, including missing completely at…

Statistics Theory · Mathematics 2007-06-13 Ivy Jansen , Caroline Beunckens , Geert Molenberghs , Geert Verbeke , Craig Mallinckrodt

Missing data persists as a major barrier to data analysis across numerous applications. Recently, deep generative models have been used for imputation of missing data, motivated by their ability to capture highly non-linear and complex…

Machine Learning · Statistics 2022-10-03 Breeshey Roskams-Hieter , Jude Wells , Sara Wade

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

The presence of missing values makes supervised learning much more challenging. Indeed, previous work has shown that even when the response is a linear function of the complete data, the optimal predictor is a complex function of the…

Machine Learning · Computer Science 2020-11-05 Marine Le Morvan , Julie Josse , Thomas Moreau , Erwan Scornet , Gaël Varoquaux

Recent advancements in multi-modal large language models have propelled the development of joint probabilistic models capable of both image understanding and generation. However, we have identified that recent methods suffer from loss of…

Computer Vision and Pattern Recognition · Computer Science 2025-06-05 Jian Yang , Dacheng Yin , Yizhou Zhou , Fengyun Rao , Wei Zhai , Yang Cao , Zheng-Jun Zha

Causal disentanglement aims to uncover a representation of data using latent variables that are interrelated through a causal model. Such a representation is identifiable if the latent model that explains the data is unique. In this paper,…

Diffusion models have emerged as powerful generative approaches for missing-data imputation, yet most existing methods operate directly in data space and degrade when training data are heavily incomplete. We investigate whether shifting…

Machine Learning · Computer Science 2026-05-28 Alberte Heering Estad , Ignacio Peis , Jes Frellsen

Data imputation is a cornerstone technique for handling missing values in real-world datasets, which are often plagued by missingness. Despite recent progress, prior studies on Large Language Models-based imputation remain limited by…

Machine Learning · Computer Science 2026-03-25 Arthur Dantas Mangussi , Ricardo Cardoso Pereira , Ana Carolina Lorena , Pedro Henriques Abreu

Analysis of competing risks data is often complicated by the incomplete or selectively missing information on the cause of failure. Standard approaches typically assume that the cause of failure is missing at random (MAR), an assumption…

This paper provides further insight into the key concept of missing at random (MAR) in incomplete data analysis. Following the usual selection modelling approach we envisage two models with separable parameters: a model for the response of…

Statistics Theory · Mathematics 2007-06-13 Guobing Lu , John B. Copas

We develop a novel approach to tackle the common but challenging problem of conformal inference for missing data in machine learning, focusing on Missing at Random (MAR) data. We propose a new procedure Conformal prediction for Missing data…

Methodology · Statistics 2025-10-22 Wenlu Tang , Hongni Wang , Xingcai Zhou , Bei Jiang , Linglong Kong

When a missing-data mechanism is NMAR or non-ignorable, missingness is itself vital information and it must be taken into the likelihood, which, however, needs to introduce additional parameters to be estimated. The incompleteness of the…

Methodology · Statistics 2014-05-15 Kosuke Morikawa , Yutaka Kano