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Missing data are inevitable in clinical trials, and trials that produce categorical ordinal responses are not exempted from this. Typically, missing values in the data occur due to different missing mechanisms, such as missing completely at…

Methodology · Statistics 2025-05-09 Arnab Kumar Maity , Huaming Tan , Vivek Pradhan , Soutir Bandyopadhyay

Statistical latent class models are widely used in social and psychological researches, yet it is often difficult to establish the identifiability of the model parameters. In this paper we consider the identifiability issue of a family of…

Methodology · Statistics 2016-03-15 Gongjun Xu

An approach to amputation, the process of introducing missing values to a complete dataset, is presented. It allows to construct missingness indicators in a flexible and principled way via copulas and Bernoulli margins and to incorporate…

Applications · Statistics 2025-07-28 Marius Hofert , James Jackson , Niels Hagenbuch

An extension of the latent class model is presented for clustering categorical data by relaxing the classical "class conditional independence assumption" of variables. This model consists in grouping the variables into inter-independent and…

Computation · Statistics 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

Causal inference in observational studies can be challenging when confounders are subject to missingness. Generally, the identification of causal effects is not guaranteed even under restrictive parametric model assumptions when confounders…

Methodology · Statistics 2023-03-23 Jian Sun , Bo Fu

Predicting with missing inputs challenges even parametric models, as parameter estimation alone is insufficient for prediction on incomplete data. While several works study prediction in linear models, we focus on logistic models, where…

Machine Learning · Statistics 2026-02-03 Christophe Muller , Erwan Scornet , Julie Josse

Time series imputation is one of the most challenge problems and has broad applications in various fields like health care and the Internet of Things. Existing methods mainly aim to model the temporally latent dependencies and the…

Machine Learning · Computer Science 2025-05-13 Ruichu Cai , Kaitao Zheng , Junxian Huang , Zijian Li , Zhengming Chen , Boyan Xu , Zhifeng Hao

This paper introduces a new latent variable generative model able to handle high dimensional longitudinal data and relying on variational inference. The time dependency between the observations of an input sequence is modelled using…

Machine Learning · Statistics 2023-03-28 Clément Chadebec , Stéphanie Allassonnière

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

Model identifiability is a desirable property in the context of unsupervised representation learning. In absence thereof, different models may be observationally indistinguishable while yielding representations that are nontrivially related…

Machine Learning · Statistics 2022-02-15 Shubhangi Ghosh , Luigi Gresele , Julius von Kügelgen , Michel Besserve , Bernhard Schölkopf

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

We propose a general, theoretically justified mechanism for processing missing data by neural networks. Our idea is to replace typical neuron's response in the first hidden layer by its expected value. This approach can be applied for…

Machine Learning · Computer Science 2019-04-05 Marek Smieja , Łukasz Struski , Jacek Tabor , Bartosz Zieliński , Przemysław Spurek

A useful technique for analyzing incomplete tables is to model the missing data mechanisms of the variables using log-linear models. In this paper, we use log-linear parametrization and propose estimation methods for arbitrary three-way and…

Methodology · Statistics 2019-10-29 S. Ghosh , P. Vellaisamy

We establish conditions under which latent causal graphs are nonparametrically identifiable and can be reconstructed from unknown interventions in the latent space. Our primary focus is the identification of the latent structure in…

Machine Learning · Statistics 2023-11-06 Yibo Jiang , Bryon Aragam

A major challenge in estimating treatment effects in observational studies is the reliance on untestable conditions such as the assumption of no unmeasured confounding. In this work, we propose an algorithm that can falsify the assumption…

Methodology · Statistics 2025-06-03 Rickard K. A. Karlsson , Jesse H. Krijthe

Nonignorable missingness and noncompliance can occur even in well-designed randomized experiments making the intervention effect that the experiment was designed to estimate nonidentifiable. Nonparametric causal bounds provide a way to…

Statistics Theory · Mathematics 2020-10-13 Erin E. Gabriel , Arvid Sjölander , Michael C. Sachs

Multiple imputation is a well-established general technique for analyzing data with missing values. A convenient way to implement multiple imputation is sequential regression multiple imputation (SRMI), also called chained equations…

We consider the problem of parameter estimation using weakly supervised datasets, where a training sample consists of the input and a partially specified annotation, which we refer to as the output. The missing information in the annotation…

Machine Learning · Computer Science 2012-06-22 M. Pawan Kumar , Ben Packer , Daphne Koller

The problems of observability and identifiability have been of great interest as previous steps to estimating parameters and initial conditions of dynamical systems to which some known data (observations) are associated. While most works…

Dynamical Systems · Mathematics 2025-06-16 Alicja B Kubik , Benjamin Ivorra , Alain Rapaport , Ángel M Ramos

We propose a general Bayesian nonparametric (BNP) approach to causal inference in the point treatment setting. The joint distribution of the observed data (outcome, treatment, and confounders) is modeled using an enriched Dirichlet process.…

Methodology · Statistics 2017-03-01 Jason Roy , Kirsten J Lum , Michael J. Daniels , Bret Zeldow , Jordan Dworkin , Vincent Lo Re