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Missing data, the data value that is not recorded for a variable, occurs in almost all statistical analyses and may be caused by many reasons, such as lack of collection or a lack of documentation. Researchers need to adequately deal with…

Human-Computer Interaction · Computer Science 2024-10-08 Sarah Alsufyani , Matthew Forshaw , Sara Johansson Fernstad

State-of-the-art causal discovery methods usually assume that the observational data is complete. However, the missing data problem is pervasive in many practical scenarios such as clinical trials, economics, and biology. One…

Machine Learning · Computer Science 2023-01-18 Erdun Gao , Ignavier Ng , Mingming Gong , Li Shen , Wei Huang , Tongliang Liu , Kun Zhang , Howard Bondell

We introduce the Markov missing graph (MMG), a novel framework that imputes missing data based on undirected graphs. MMG leverages conditional independence relationships to locally decompose the imputation model. To establish the…

Methodology · Statistics 2025-09-04 Yanjiao Yang , Yen-Chi Chen

We propose a copula based method to handle missing values in multivariate data of mixed types in multilevel data sets. Building upon the extended rank likelihood of \cite{hoff2007extending} and the multinomial probit model, our model is a…

Methodology · Statistics 2017-02-28 Jiali Wang , Bronwyn Loong , Anton H. Westveld , Alan H. Welsh

Identifying the effect of a treatment from observational data typically requires assuming a fully specified causal diagram. However, such diagrams are rarely known in practice, especially in complex or high-dimensional settings. To overcome…

Artificial Intelligence · Computer Science 2025-07-09 Clément Yvernes , Emilie Devijver , Marianne Clausel , Eric Gaussier

Understanding the global organization of complicated and high dimensional data is of primary interest for many branches of applied sciences. It is typically achieved by applying dimensionality reduction techniques mapping the considered…

Computational Geometry · Computer Science 2024-11-11 Paweł Dłotko , Davide Gurnari , Mathis Hallier , Anna Jurek-Loughrey

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

Scientific and commercial data is often incomplete. Recovery of the missing information is an important pre-processing step in data analysis. Real-world data can in many cases be represented as a superposition of two or more different types…

Functional Analysis · Mathematics 2017-05-31 Emily J. King , James M. Murphy

The problem of missing data has been persistent for a long time and poses a major obstacle in machine learning and statistical data analysis. Past works in this field have tried using various data imputation techniques to fill in the…

Machine Learning · Computer Science 2020-11-20 Rishab Khincha , Utkarsh Sarawgi , Wazeer Zulfikar , Pattie Maes

Incomplete multi-view clustering is a challenging and non-trivial task to provide effective data analysis for large amounts of unlabeled data in the real world. All incomplete multi-view clustering methods need to address the problem of how…

Machine Learning · Computer Science 2023-05-22 Sifan Fang

We address the problem of causal discovery from data, making use of the recently proposed causal modeling framework of modular structural causal models (mSCM) to handle cycles, latent confounders and non-linearities. We introduce…

Machine Learning · Statistics 2022-08-31 Patrick Forré , Joris M. Mooij

Missing data may be disastrous for the identifiability of causal and statistical estimands. In graphical missing data models, colluders are dependence structures that have a special importance for identification considerations. It has been…

Methodology · Statistics 2024-07-04 Santtu Tikka , Juha Karvanen

Many important datasets contain samples that are missing one or more feature values. Maintaining the interpretability of machine learning models in the presence of such missing data is challenging. Singly or multiply imputing missing values…

Machine Learning · Computer Science 2026-02-10 Hayden McTavish , Jon Donnelly , Margo Seltzer , Cynthia Rudin

Missing data theory deals with the statistical methods in the occurrence of missing data. Missing data occurs when some values are not stored or observed for variables of interest. However, most of the statistical theory assumes that data…

Graph data widely exists in real life, with large amounts of data and complex structures. It is necessary to map graph data to low-dimensional embedding. Graph classification, a critical graph task, mainly relies on identifying the…

Machine Learning · Computer Science 2023-10-26 Yuan Li , Li Liu , Penggang Chen , Youmin Zhang , Guoyin Wang

Missing values in tabular data restrict the use and performance of machine learning, requiring the imputation of missing values. The most popular imputation algorithm is arguably multiple imputations using chains of equations (MICE), which…

Machine Learning · Computer Science 2022-03-01 Manar D Samad , Sakib Abrar , Norou Diawara

Multiple imputation (MI) is a popular method for dealing with missing values. One main advantage of MI is to separate the imputation phase and the analysis one. However, both are related since they are based on distribution assumptions that…

Methodology · Statistics 2021-06-09 Vincent Audigier , Ndèye Niang , Matthieu Resche-Rigon

In cancer research, clustering techniques are widely used for exploratory analyses and dimensionality reduction, playing a critical role in the identification of novel cancer subtypes, often with direct implications for patient management.…

Causal discovery algorithms estimate causal graphs from observational data. This can provide a valuable complement to analyses focussing on the causal relation between individual treatment-outcome pairs. Constraint-based causal discovery…

Methodology · Statistics 2021-08-31 Janine Witte , Ronja Foraita , Vanessa Didelez

The clustering method based on graph models has garnered increased attention for its widespread applicability across various knowledge domains. Its adaptability to integrate seamlessly with other relevant applications endows the graph…

Machine Learning · Computer Science 2025-04-02 Xinrun Xu , Manying Lv , Zhanbiao Lian , Yurong Wu , Jin Yan , Shan Jiang , Zhiming Ding