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Missingness in categorical data is a common problem in various real applications. Traditional approaches either utilize only the complete observations or impute the missing data by some ad hoc methods rather than the true conditional…

Methodology · Statistics 2019-07-12 Chaojie Wang , Linghao Shen , Han Li , Xiaodan Fan

Bayesian hierarchical modeling is a natural framework to effectively integrate data and borrow information across groups. In this paper, we address problems related to density estimation and identifying clusters across related groups, by…

Methodology · Statistics 2025-10-29 Huizi Zhang , Sara Wade , Natalia Bochkina

Item response theory aims to estimate respondent's latent skills from their responses in tests composed of items with different levels of difficulty. Several models of item response theory have been proposed for different types of tasks,…

Dirichlet process mixture model (DPMM) is a popular Bayesian nonparametric model. In this paper, we apply this model to weighted data and then estimate the un-weighted distribution from the corresponding weighted distribution using the…

Computation · Statistics 2018-12-12 Soghra Bohlourihajjar , Soleiman Khazaei

We present the \textit{hierarchical Dirichlet scaling process} (HDSP), a Bayesian nonparametric mixed membership model. The HDSP generalizes the hierarchical Dirichlet process (HDP) to model the correlation structure between metadata in the…

Machine Learning · Computer Science 2017-07-10 Dongwoo Kim , Alice Oh

Dependent nonparametric processes extend distributions over measures, such as the Dirichlet process and the beta process, to give distributions over collections of measures, typically indexed by values in some covariate space. Such models…

Machine Learning · Statistics 2012-11-21 Nicholas J. Foti , Sinead Williamson

Psychological assessments commonly rely on rating-scale items, which require respondents to condense complex experiences into predefined categories. Although rich, unstructured text is often captured alongside these scales, it rarely…

Computation and Language · Computer Science 2026-03-20 Joe Watson , Ivan O'Connor , Chia-Wen Chen , Luning Sun , Fang Luo , David Stillwell

Diagnostic classification models (DCMs) are psychometric models designed to classify examinees according to their proficiency or non-proficiency of specified latent characteristics. These models are well-suited for providing diagnostic and…

Applications · Statistics 2023-08-01 Matthew J. Madison , Stefanie A Wind , Lientje Maas , Kazuhiro Yamaguchi , Sergio Haab

Probabilistic Time Series Forecasting (PTSF) plays a critical role in domains requiring accurate and uncertainty-aware predictions for decision-making. However, existing methods offer suboptimal distribution modeling and suffer from a…

Machine Learning · Computer Science 2025-09-03 Chih-Yu Lai , Yu-Chien Ning , Duane S. Boning

This study introduces a novel nonparametric approach for detecting Differential Item Functioning (DIF) in binary items through direct comparison of Item Response Curves (IRCs). Building on prior work on nonparametric comparison of…

Methodology · Statistics 2025-11-25 Adéla Hladká , Patrícia Martinková

The shocks which hit macroeconomic models such as Vector Autoregressions (VARs) have the potential to be non-Gaussian, exhibiting asymmetries and fat tails. This consideration motivates the VAR developed in this paper which uses a Dirichlet…

Econometrics · Economics 2023-05-29 Florian Huber , Gary Koop

A comprehensive class of models is proposed that can be used for continuous, binary, ordered categorical and count type responses. The difficulty of items is described by difficulty functions, which replace the item difficulty parameters…

Methodology · Statistics 2021-06-25 Gerhard Tutz

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

The Drift-Diffusion Model (DDM) is widely used in neuropsychological studies to understand the decision process by incorporating both reaction times and subjects' responses. Various models have been developed to estimate DDM parameters,…

Applications · Statistics 2025-07-03 Zekai Jin , Yaakov Stern , Seonjoo Lee

The rapid release of both language models and benchmarks makes it increasingly costly to evaluate every model on every dataset. In practice, models are often evaluated on different samples, making scores difficult to compare across studies.…

Computation and Language · Computer Science 2026-04-16 Eliya Habba , Itay Itzhak , Asaf Yehudai , Yotam Perlitz , Elron Bandel , Michal Shmueli-Scheuer , Leshem Choshen , Gabriel Stanovsky

The hierarchical Dirichlet process is the cornerstone of Bayesian nonparametric multilevel models. Its generative model can be described through a set of latent variables, commonly referred to as tables within the popular restaurant…

Statistics Theory · Mathematics 2025-05-06 Marta Catalano , Claudio Del Sole

Nonparametric mixture models based on the Dirichlet process are an elegant alternative to finite models when the number of underlying components is unknown, but inference in such models can be slow. Existing attempts to parallelize…

Machine Learning · Statistics 2012-12-03 Sinead A. Williamson , Avinava Dubey , Eric P. Xing

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

Item response theory (IRT) is a class of interpretable factor models that are widely used in computerized adaptive tests (CATs), such as language proficiency tests. Traditionally, these are fit using parametric mixed effects models on the…

Machine Learning · Computer Science 2024-09-16 James Sharpnack , Phoebe Mulcaire , Klinton Bicknell , Geoff LaFlair , Kevin Yancey

It is shown that a simple Dirichlet process mixture of multivariate normals offers Bayesian density estimation with adaptive posterior convergence rates. Toward this, a novel sieve for non-parametric mixture densities is explored, and its…

Statistics Theory · Mathematics 2011-11-18 Surya T. Tokdar