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When inferring parameters from a Gaussian-distributed data set by computing a likelihood, a covariance matrix is needed that describes the data errors and their correlations. If the covariance matrix is not known a priori, it may be…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-27 Elena Sellentin , Alan F. Heavens

Exploring missing data in attributed graphs introduces unique challenges beyond those found in tabular datasets. In this work, we extend the taxonomy for missing data mechanisms to attributed graphs by proposing GAMM (Graph Attributes…

Machine Learning · Computer Science 2026-02-10 Richard Serrano , Baptiste Jeudy , Charlotte Laclau , Christine Largeron

Missing data imputation, where a model is trained on observed data to estimate unobserved values, is a fundamental problem in machine learning. In this paper, we rigorously formulate imputation model learning as a mean-squared error risk…

Machine Learning · Statistics 2026-05-14 Luke Shannon , Song Liu , Katarzyna Reluga

Nonmonotone missing data arise routinely in empirical studies of social and health sciences, and when ignored, can induce selection bias and loss of efficiency. In practice, it is common to account for nonresponse under a missing-at-random…

Methodology · Statistics 2017-07-20 Eric J. Tchetgen Tchetgen , Linbo Wang , BaoLuo Sun

Latent variable models can be used to probabilistically "fill-in" missing data entries. The variational autoencoder architecture (Kingma and Welling, 2014; Rezende et al., 2014) includes a "recognition" or "encoder" network that infers the…

Machine Learning · Computer Science 2019-02-20 Christopher K. I. Williams , Charlie Nash , Alfredo Nazábal

We congratulate Nabi et al. (2022) on their impressive and insightful paper, which illustrates the benefits of using causal/counterfactual perspectives and tools in missing data problems. This paper represents an important approach to…

Methodology · Statistics 2025-06-17 Alex W. Levis , Edward H. Kennedy

Data collected in clinical trials are often composed of multiple types of variables. For example, laboratory measurements and vital signs are longitudinal data of continuous or categorical variables, adverse events may be recurrent events,…

Methodology · Statistics 2023-01-12 Tuo Wang , Rachel Zilinskas , Ying Li , Yongming Qu

This paper considers an empirical likelihood inference for parameters defined by general estimating equations, when data are missing at random. The efficiency of existing estimators depends critically on correctly specifying the conditional…

Methodology · Statistics 2016-12-06 Tianqing Liu , Xiaohui Yuan , Zhaohai Li , Aiyi Liu

Missing data are ubiquitous in many domains including healthcare. When these data entries are not missing completely at random, the (conditional) independence relations in the observed data may be different from those in the complete data…

Machine Learning · Computer Science 2020-07-14 Ruibo Tu , Kun Zhang , Paul Ackermann , Bo Christer Bertilson , Clark Glymour , Hedvig Kjellström , Cheng Zhang

This paper develops the inferential theory for latent factor models estimated from large dimensional panel data with missing observations. We propose an easy-to-use all-purpose estimator for a latent factor model by applying principal…

Econometrics · Economics 2022-01-11 Ruoxuan Xiong , Markus Pelger

We investigate model based classification with partially labelled training data. In many biostatistical applications, labels are manually assigned by experts, who may leave some observations unlabelled due to class uncertainty. We analyse…

Methodology · Statistics 2019-04-08 Daniel Ahfock , Geoffrey J. McLachlan

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

In this paper, we analyze a specific class of missing not at random (MNAR) assumptions called tree graphs, extending upon the work of pattern graphs. We build off previous work by introducing the idea of a conjugate odds family in which…

Methodology · Statistics 2026-02-20 Daniel Suen , Yen-Chi Chen

Several statistical models are given in the form of unnormalized densities, and calculation of the normalization constant is intractable. We propose estimation methods for such unnormalized models with missing data. The key concept is to…

Machine Learning · Statistics 2020-06-11 Masatoshi Uehara , Takeru Matsuda , Jae Kwang Kim

Missing data can be informative. Ignoring this information can lead to misleading conclusions when the data model does not allow information to be extracted from the missing data. We propose a co-clustering model, based on the Latent Block…

Machine Learning · Computer Science 2020-10-26 Gabriel Frisch , Jean-Benoist Léger , Yves Grandvalet

Many real-world networks are known to exhibit facts that counter our knowledge prescribed by the theories on network creation and communication patterns. A common prerequisite in network analysis is that information on nodes and links will…

Physics and Society · Physics 2018-04-03 Guy Kelman , Eran Manes , Marco Lamieri , David Breé

In this paper, we examine the problem of missing data in high-dimensional datasets by taking into consideration the Missing Completely at Random and Missing at Random mechanisms, as well as theArbitrary missing pattern. Additionally, this…

Artificial Intelligence · Computer Science 2016-07-04 Collins Leke , Tshilidzi Marwala

Background: Missing data poses an acute threat to sequential multiple assignment randomized trial (SMART) analyses because of the sequential treatment structure and response-dependent re-randomization. Objectives: This study aimed to (1)…

When estimating a regression model, we might have data where some labels are missing, or our data might be biased by a selection mechanism. When the response or selection mechanism is ignorable (i.e., independent of the response variable…

Statistics Theory · Mathematics 2023-08-22 Philip Boeken , Noud de Kroon , Mathijs de Jong , Joris M. Mooij , Onno Zoeter

Multiple matrix sampling is a survey methodology technique that randomly chooses a relatively small subset of items to be presented to survey respondents for the purpose of reducing respondent burden. The data produced are missing…

Methodology · Statistics 2017-10-03 Stanislav Kolenikov , Heather Hammer
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