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This work addresses the following question: Under what assumptions on the data generating process can one infer the causal graph from the joint distribution? The approach taken by conditional independence-based causal discovery methods is…

Machine Learning · Computer Science 2012-02-20 Jonas Peters , Joris Mooij , Dominik Janzing , Bernhard Schoelkopf

In recent times, a considerable number of research studies have been carried out to address the issue of Missing Value Imputation (MVI). MVI aims to provide a primary solution for datasets that have one or more missing attribute values. The…

Machine Learning · Computer Science 2024-10-14 Abu Fuad Ahmad , Khaznah Alshammari , Istiaque Ahmed , MD Shohel Sayed

Marginal structural models (MSMs) are commonly used to estimate causal intervention effects in longitudinal non-randomised studies. A common issue when analysing data from observational studies is the presence of incomplete confounder data,…

Methodology · Statistics 2019-12-02 Clemence Leyrat , James R Carpenter , Sebastien Bailly , Elizabeth J Willamson

Missing data is a crucial issue when applying machine learning algorithms to real-world datasets. Starting from the simple assumption that two batches extracted randomly from the same dataset should share the same distribution, we leverage…

Machine Learning · Statistics 2020-07-02 Boris Muzellec , Julie Josse , Claire Boyer , Marco Cuturi

Processed data are insightful, and crude data are obtuse. A serious threat to data reliability is missing values. Such data leads to inaccurate analysis and wrong predictions. We propose an efficient technique to impute the missing value in…

Machine Learning · Computer Science 2021-07-02 Prateek Mishra , Kumar Divya Mani , Prashant Johri , Dikhsa Arya

Missing values widely exist in many real-world datasets, which hinders the performing of advanced data analytics. Properly filling these missing values is crucial but challenging, especially when the missing rate is high. Many approaches…

Machine Learning · Computer Science 2018-08-07 Hongbao Zhang , Pengtao Xie , Eric Xing

Survey data collection often is plagued by unit and item nonresponse. To reduce reliance on strong assumptions about the missingness mechanisms, statisticians can use information about population marginal distributions known, for example,…

Methodology · Statistics 2024-06-10 Yanjiao Yang , Jerome P. Reiter

Graphical models express conditional independence relationships among variables. Although methods for vector-valued data are well established, functional data graphical models remain underdeveloped. We introduce a notion of conditional…

Methodology · Statistics 2016-01-06 Hongxiao Zhu , Nate Strawn , David B. Dunson

Exposure to air pollution is associated with increased morbidity and mortality. Recent technological advancements permit the collection of time-resolved personal exposure data. Such data are often incomplete with missing observations and…

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

Despite the growing interest in causal and statistical inference for settings with data dependence, few methods currently exist to account for missing data in dependent data settings; most classical missing data methods in statistics and…

Missing data is a persistent challenge in federated learning on electronic health records, particularly when institutions collect time-series data at varying temporal granularities. To address this, we propose Federated Markov Imputation…

Machine Learning · Computer Science 2025-09-26 Christoph Düsing , Philipp Cimiano

Learning the influence graph G of a high-dimensional Markov process is central to many application domains, including social networks, neuroscience, and financial risk analysis. However, in many of these applications, future states of the…

Information Theory · Computer Science 2026-01-21 Sudharsan Senthil , Avhishek Chatterjee

Publicly available data sets of structural MRIs might not contain specific measurements of brain Regions of Interests (ROIs) that are important for training machine learning models. For example, the curvature scores computed by Freesurfer…

Machine Learning · Computer Science 2023-08-22 Yixin Wang , Wei Peng , Susan F. Tapert , Qingyu Zhao , Kilian M. Pohl

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

A Markov network characterizes the conditional independence structure, or Markov property, among a set of random variables. Existing work focuses on specific families of distributions (e.g., exponential families) and/or certain structures…

Machine Learning · Computer Science 2023-05-22 Yujia Zheng , Ignavier Ng , Yewen Fan , Kun Zhang

Inferring the causal structure that links n observables is usually based upon detecting statistical dependences and choosing simple graphs that make the joint measure Markovian. Here we argue why causal inference is also possible when only…

Statistics Theory · Mathematics 2008-04-24 Dominik Janzing , Bernhard Schoelkopf

This paper concerns outcome missingness in principal stratification analysis. We revisit a common assumption known as latent ignorability or latent missing-at-random (LMAR), often considered a relaxation of missing-at-random (MAR). LMAR…

Methodology · Statistics 2024-07-22 Trang Quynh Nguyen

For multi-source data, blocks of variable information from certain sources are likely missing. Existing methods for handling missing data do not take structures of block-wise missing data into consideration. In this paper, we propose a…

Methodology · Statistics 2020-04-07 Fei Xue , Annie Qu

Missing data frequently arises across diverse domains, including time-series and image domains. In the real world, missing occurrences often depend on the unobservable values themselves, which are referred to as Missing Not at Random…

Machine Learning · Computer Science 2026-05-26 Gyuwon Sim , Sumin Lee , Heesun Bae , Byeonghu Na , Doyun Kwon , Ju-Hee Hwang , Jae-Young Lim , Il-Chul Moon