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A new statistical technique for constructing linear latent structure (LLS) models from available data, supported by well established theoretical results and an efficient algorithm, is presented. The method reduces the problem of estimating…

Statistics Theory · Mathematics 2007-06-13 I. Akushevich , M. Kovtun , A. I. Yashin , K. G. Manton

Where performance comparison of healthcare providers is of interest, characteristics of both patients and the health condition of interest must be balanced across providers for a fair comparison. This is unlikely to be feasible within…

Methodology · Statistics 2019-09-04 Wendy J. Harrison , Paul D. Baxter , Mark S. Gilthorpe

Latent Class Choice Models (LCCM) are extensions of discrete choice models (DCMs) that capture unobserved heterogeneity in the choice process by segmenting the population based on the assumption of preference similarities. We present a…

Multiplex networks are increasingly common across diverse domains, motivating the development of clustering methods that uncover patterns at multiple levels. Existing approaches typically focus on clustering either entire networks or nodes…

Methodology · Statistics 2025-07-15 C. J. Clarke , Michael Fop

Personality traits are latent variables, and as such, are impossible to measure without the use of an assessment. Responses on the assessments can be influenced by both transient (state-related) error and measurement error, obscuring the…

Applications · Statistics 2017-06-02 Amy E. Nussbaum , Cornelis J. Potgieter , Michael Chmielewski

A new method for analyzing high-dimensional categorical data, Linear Latent Structure (LLS) analysis, is presented. LLS models belong to the family of latent structure models, which are mixture distribution models constrained to satisfy the…

Probability · Mathematics 2007-06-13 Mikhail Kovtun , Igor Akushevich , Kenneth G. Manton , H. Dennis Tolley

Dynamic multilayer networks frequently represent the structure of multiple co-evolving relations; however, statistical models are not well-developed for this prevalent network type. Here, we propose a new latent space model for dynamic…

Methodology · Statistics 2021-03-25 Joshua Daniel Loyal , Yuguo Chen

Modern social networks frequently encompass multiple distinct types of connectivity information; for instance, explicitly acknowledged friend relationships might complement behavioral measures that link users according to their actions or…

Social and Information Networks · Computer Science 2015-06-17 Brandon Oselio , Alex Kulesza , Alfred O. Hero

Within the educational context, a key goal is to assess students acquired skills and to cluster students according to their ability level. In this regard, a relevant element to be accounted for is the possible effect of the school students…

Applications · Statistics 2014-08-12 Michela Gnaldi , Silvia Bacci , Francesco Bartolucci

Despite significant advances in deep learning, models often struggle to generalize well to new, unseen domains, especially when training data is limited. To address this challenge, we propose a novel approach for distribution-aware latent…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Ran Liu , Sahil Khose , Jingyun Xiao , Lakshmi Sathidevi , Keerthan Ramnath , Zsolt Kira , Eva L. Dyer

Cognitive Diagnosis Models (CDMs) are a special family of discrete latent variable models that are widely used in modern educational, psychological, social and biological sciences. A key component of CDMs is a binary $Q$-matrix…

Methodology · Statistics 2025-01-08 Chenchen Ma , Gongjun Xu

Learning multiple tasks across heterogeneous domains is a challenging problem since the feature space may not be the same for different tasks. We assume the data in multiple tasks are generated from a latent common domain via sparse domain…

Machine Learning · Computer Science 2012-07-03 Shaobo Han , Xuejun Liao , Lawrence Carin

The latent class model is a powerful unsupervised clustering algorithm for categorical data. Many statistics exist to test the fit of the latent class model. However, traditional methods to evaluate those fit statistics are not always…

Methodology · Statistics 2018-01-30 Geert H. van Kollenburg , Joris Mulder , Jeroen K. Vermunt

In this paper we address the problem of modeling relational data, which appear in many applications such as social network analysis, recommender systems and bioinformatics. Previous studies either consider latent feature based models but…

Data Structures and Algorithms · Computer Science 2012-04-13 Sheng Gao , Ludovic Denoyer , Patrick Gallinari

In recent years, pre-trained large language models (LLMs) have demonstrated remarkable efficiency in achieving an inference-time few-shot learning capability known as in-context learning. However, existing literature has highlighted the…

Computation and Language · Computer Science 2024-02-14 Xinyi Wang , Wanrong Zhu , Michael Saxon , Mark Steyvers , William Yang Wang

In a variety of applications involving longitudinal or repeated-measurements data, it is desired to uncover natural groupings or clusters which exist among study subjects. Motivated by the need to recover longitudinal trajectories of…

Methodology · Statistics 2015-01-27 Nicholas C. Henderson , Paul J. Rathouz

Latent factor models are increasingly popular for modeling multi-relational knowledge graphs. By their vectorial nature, it is not only hard to interpret why this class of models works so well, but also to understand where they fail and how…

Machine Learning · Computer Science 2017-09-19 Théo Trouillon , Éric Gaussier , Christopher R. Dance , Guillaume Bouchard

Joint latent class modelling has been developed considerably in the past two decades. In some instances, the models are linked by the latent class k (i.e. the number of subgroups), in others they are joined by shared random effects or a…

Methodology · Statistics 2023-03-02 Ruoyu Miao , Christiana Charalambous

Latent Markov (LM) models represent an important class of models for the analysis of longitudinal data (Bartolucci et. al., 2013), especially when response variables are categorical. These models have a great potential of application for…

Computation · Statistics 2015-01-20 Francesco Bartolucci , Alessio Farcomeni , Silvia Pandolfi , Fulvia Pennoni

Cystic fibrosis is a chronic lung disease which requires frequent patient monitoring to maintain lung function over time and minimize onset of acute respiratory events known as pulmonary exacerbations. From the clinical point of view it is…