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This paper follows previous research we have already performed in the area of Bayesian networks models for CAT. We present models using Item Response Theory (IRT - standard CAT method), Bayesian networks, and neural networks. We conducted…

人工智能 · 计算机科学 2016-02-02 Martin Plajner , Jiří Vomlel

Item response theory (IRT) is the statistical paradigm underlying a dominant family of generative probabilistic models for test responses, used to quantify traits in individuals relative to target populations. The graded response model…

应用统计 · 统计学 2022-05-03 Joshua C. Chang , Julia Porcino , Elizabeth K. Rasch , Larry Tang

Forensic science often involves the comparison of crime-scene evidence to a known-source sample to determine if the evidence and the reference sample came from the same source. Even as forensic analysis tools become increasingly objective…

应用统计 · 统计学 2019-10-17 Amanda Luby , Anjali Mazumder , Brian Junker

Identification of clusters of co-expressed genes in transcriptomic data is a difficult task. Most algorithms used for this purpose can be classified into two broad categories: distance-based or model-based approaches. Distance-based…

应用统计 · 统计学 2022-09-26 Gabriel Lozano , Nadia Atallah , Michael Levine

Generative approaches to clustering provide information on geometric properties of clusters, whereas discriminative approaches provide boundaries between clusters. Ideas from both approaches are incorporated to present a fully unsupervised,…

机器学习 · 统计学 2026-04-28 Mackenzie R. Neal , Paul D. McNicholas , Arthur White

A mixture of Gaussians fit to a single curved or heavy-tailed cluster will report that the data contains many clusters. To produce more appropriate clusterings, we introduce a model which warps a latent mixture of Gaussians to produce…

机器学习 · 计算机科学 2014-08-12 Tomoharu Iwata , David Duvenaud , Zoubin Ghahramani

A mixture of Gaussians fit to a single curved or heavy-tailed cluster will report that the data contains many clusters. To produce more appropriate clusterings, we introduce a model which warps a latent mixture of Gaussians to produce…

机器学习 · 统计学 2013-03-25 Tomoharu Iwata , David Duvenaud , Zoubin Ghahramani

Most datasets suffer from partial or complete missing values, which has downstream limitations on the available models on which to test the data and on any statistical inferences that can be made from the data. Several imputation techniques…

机器学习 · 统计学 2023-02-09 Adrienne Kline , Yuan Luo

Clustering mixed data presents numerous challenges inherent to the very heterogeneous nature of the variables. A clustering algorithm should be able, despite of this heterogeneity, to extract discriminant pieces of information from the…

机器学习 · 计算机科学 2022-05-10 Robin Fuchs , Denys Pommeret , Cinzia Viroli

Mathematical modelling is a widely used approach to understand and interpret clinical trial data. This modelling typically involves fitting mechanistic mathematical models to data from individual trial participants. Despite the widespread…

Finite mixtures of regressions with fixed covariates are a commonly used model-based clustering methodology to deal with regression data. However, they assume assignment independence, i.e. the allocation of data points to the clusters is…

统计方法学 · 统计学 2021-04-27 Salvatore D. Tomarchio , Paul D. McNicholas , Antonio Punzo

Clustering multivariate binary data is of interest in many scientific fields, including ecology, biomedicine, and social policy. Beyond heuristic clustering algorithms, such data can be modelled using multivariate Bernoulli mixture models.…

统计方法学 · 统计学 2026-04-24 Luisa Ferrari , Maria Franco Villoria , Garritt L. Page , Alex Laini

Multivariate longitudinal data of mixed-type are increasingly collected in many science domains. However, algorithms to cluster this kind of data remain scarce, due to the challenge to simultaneously model the within- and between-time…

机器学习 · 统计学 2025-09-16 Francesco Amato , Julien Jacques

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…

应用统计 · 统计学 2023-08-01 Matthew J. Madison , Stefanie A Wind , Lientje Maas , Kazuhiro Yamaguchi , Sergio Haab

There is increasing interest in broad application areas in defining flexible joint models for data having a variety of measurement scales, while also allowing data of complex types, such as functions, images and documents. We consider a…

统计方法学 · 统计学 2013-03-05 Anjishnu Banerjee , Jared Murray , David B. Dunson

In this paper we consider the problem of dynamic clustering, where cluster memberships may change over time and clusters may split and merge over time, thus creating new clusters and destroying existing ones. We propose a Bayesian…

统计方法学 · 统计学 2019-10-24 Maria De Iorio , Stefano Favaro , Alessandra Guglielmi , Lifeng Ye

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

统计方法学 · 统计学 2013-10-16 David S. Matteson , Nicholas A. James

This study establishes the consistency of Bayesian adaptive testing methods under the Rasch model, addressing a gap in the literature on their large-sample guarantees. Although Bayesian approaches are recognized for their finite-sample…

统计方法学 · 统计学 2024-12-11 Hau-Hung Yang , Chia-Min Wei , Yu-Chang Chen

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…

统计方法学 · 统计学 2025-11-25 Adéla Hladká , Patrícia Martinková

Clustering is one of the most common unsupervised learning tasks in machine learning and data mining. Clustering algorithms have been used in a plethora of applications across several scientific fields. However, there has been limited…

机器学习 · 计算机科学 2017-02-09 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo