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This paper introduces a flexible Bayesian nonparametric Item Response Theory (IRT) model, which applies to dichotomous or polytomous item responses, and which can apply to either unidimensional or multidimensional scaling. This is an…

Methodology · Statistics 2015-02-12 George Karabatsos

The goal of item response theoretic (IRT) models is to provide estimates of latent traits from binary observed indicators and at the same time to learn the item response functions (IRFs) that map from latent trait to observed response.…

Machine Learning · Statistics 2020-12-23 JBrandon Duck-Mayr , Roman Garnett , Jacob M. Montgomery

We consider modeling, inference, and computation for analyzing multivariate binary data. We propose a new model that consists of a low dimensional latent variable component and a sparse graphical component. Our study is motivated by…

Methodology · Statistics 2016-06-30 Yunxiao Chen , Xiaoou Li , Jingchen Liu , Zhiliang Ying

Variational approaches based on neural networks are showing promise for estimating mutual information (MI) between high dimensional variables. However, they can be difficult to use in practice due to poorly understood bias/variance…

Machine Learning · Computer Science 2020-03-25 Jiaming Song , Stefano Ermon

Item Response Theory (IRT) is a well known method for assessing responses from humans in education and psychology. In education, IRT is used to infer student abilities and characteristics of test items from student responses. Interactions…

Artificial Intelligence · Computer Science 2023-07-20 Antti Keurulainen , Isak Westerlund , Oskar Keurulainen , Andrew Howes

Item parameter estimation in pharmacometric item response theory (IRT) models is predominantly performed using the Laplace estimation algorithm as implemented in NONMEM. In psychometrics a wide range of different software tools, including…

Methodology · Statistics 2025-03-18 Leticia Arrington , Sebastian Ueckert

Computer Adaptive Testing (CAT) aims to accurately estimate an individual's ability using only a subset of an Item Response Theory (IRT) instrument. Many applications also require diverse item exposure across testing sessions, preventing…

Methodology · Statistics 2026-04-01 Tina Su , Edison Choe , Joshua C. Chang

We present the R-package mgm for the estimation of k-order Mixed Graphical Models (MGMs) and mixed Vector Autoregressive (mVAR) models in high-dimensional data. These are a useful extensions of graphical models for only one variable type,…

Applications · Statistics 2020-02-13 Jonas M. B. Haslbeck , Lourens J. Waldorp

Marginal maximum likelihood estimation (MMLE) in item response theory (IRT) is highly sensitive to aberrant responses, such as careless answering and random guessing, which can reduce estimation accuracy. To address this issue, this study…

Methodology · Statistics 2025-02-18 Yuki Itaya , Kenichi Hayashi

Information visualization significantly enhances human perception by graphically representing complex data sets. The variety of visualization designs makes it challenging to efficiently evaluate all possible designs catering to users'…

Methodology · Statistics 2020-04-07 Xiaoning Kang , Xiaoyu Chen , Ran Jin , Hao Wu , Xinwei Deng

Joint maximum likelihood (JML) estimation is one of the earliest approaches to fitting item response theory (IRT) models. This procedure treats both the item and person parameters as unknown but fixed model parameters and estimates them…

Methodology · Statistics 2019-06-17 Yunxiao Chen , Xiaoou Li , Siliang Zhang

Generalized variational inference (GVI) provides an optimization-theoretic framework for statistical estimation that encapsulates many traditional estimation procedures. The typical GVI problem is to compute a distribution of parameters…

Optimization and Control · Mathematics 2023-10-27 Aurya S. Javeed , Drew P. Kouri , Thomas M. Surowiec

Multidimensional item response theory is a statistical test theory used to estimate the latent skills of learners and the difficulty levels of problems based on test results. Both compensatory and non-compensatory models have been proposed…

Methodology · Statistics 2025-07-22 Hiroshi Tamano , Hideitsu Hino , Daichi Mochihashi

We study the problem of identifying change points in high-dimensional generalized linear models, and propose an approach based on sample-weighted empirical risk minimization. Our method, Weighted ERM, encodes priors on the change points via…

Methodology · Statistics 2026-04-14 Gabriel Arpino , Ramji Venkataramanan

Measurement bridges theory and empirics. Without measures that appropriately capture theoretical concepts, description will fail to represent reality and true causal inference will be impossible. Yet, the social sciences traffic in complex…

Applications · Statistics 2024-05-29 Marco Morucci , Margaret Foster , Kaitlyn Webster , So Jin Lee , David Siegel

Despite the frequent use of agent-based models (ABMs) for studying social phenomena, parameter estimation remains a challenge, often relying on costly simulation-based heuristics. This work uses variational inference to estimate the…

Computers and Society · Computer Science 2025-12-04 Jacopo Lenti , Fabrizio Silvestri , Gianmarco De Francisci Morales

Robust validation of Machine Learning (ML) models is essential, but traditional data partitioning approaches often ignore the intrinsic quality of each instance. This study proposes the use of Item Response Theory (IRT) parameters to…

Machine Learning · Computer Science 2025-08-15 Lucas Cardoso , Vitor Santos , José Ribeiro Filho , Ricardo Prudêncio , Regiane Kawasaki , Ronnie Alves

In practical regression applications, multiple covariates are often measured, but not all may be associated with the response variable. Identifying and including only the relevant covariates in the model is crucial for improving prediction…

Methodology · Statistics 2026-03-10 Ana Carolina da Cruz , Camila P. E. de Souza , Pedro H. T. O. Sousa

Multireference alignment (MRA) problem is to estimate an underlying signal from a large number of noisy circularly-shifted observations. The existing methods are always proposed under the hypothesis of a single Gaussian noise. However, the…

Optimization and Control · Mathematics 2021-07-23 Cuicui Zhao , Jun Liu , Xinqi Gong

Item Response Theory (IRT) has been widely used in educational psychometrics to assess student ability, as well as the difficulty and discrimination of test questions. In this context, discrimination specifically refers to how effectively a…

Computers and Society · Computer Science 2024-11-06 Ziqi Xu , Sevvandi Kandanaarachchi , Cheng Soon Ong , Eirini Ntoutsi