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Factor analysis is a flexible technique for assessment of multivariate dependence and codependence. Besides being an exploratory tool used to reduce the dimensionality of multivariate data, it allows estimation of common factors that often…

Applications · Statistics 2020-05-08 Vitor G. C. da Silva , Kelly C. M. Gonçalves , João B. M. Pereira

Multimodal sentiment analysis remains a challenging task due to the inherent heterogeneity across modalities. Such heterogeneity often manifests as asynchronous signals, imbalanced information between modalities, and interference from…

Multimedia · Computer Science 2025-11-26 Yadong Liu , Shangfei Wang

Multimodal data, where different types of data are collected from the same subjects, are fast emerging in a large variety of scientific applications. Factor analysis is commonly used in integrative analysis of multimodal data, and is…

Statistics Theory · Mathematics 2021-03-31 Quefeng Li , Lexin Li

High-dimensional data are crucial in biomedical research. Integrating such data from multiple studies is a critical process that relies on the choice of advanced statistical models, enhancing statistical power, reproducibility, and…

Applications · Statistics 2025-06-24 Mavis Liang , Blake Hansen , Alejandra Avalos-Pacheco , Roberta De Vito

This paper studies a factor modeling-based approach for clustering high-dimensional data generated from a mixture of strongly correlated variables. Statistical modeling with correlated structures pervades modern applications in economics,…

Statistics Theory · Mathematics 2024-08-23 Shange Tang , Soham Jana , Jianqing Fan

Many fMRI analyses examine functional connectivity, or statistical dependencies among remote brain regions. Yet popular methods for studying whole-brain functional connectivity often yield results that are difficult to interpret. Factor…

Methodology · Statistics 2024-09-24 Kyle Stanley , Nicole Lazar , Matthew Reimherr

In this paper we study the problem of learning from multiple modal data for purpose of document classification. In this problem, each document is composed two different modals of data, i.e., an image and a text. Cross-modal factor analysis…

Machine Learning · Computer Science 2015-08-19 Jingbin Wang , Yihua Zhou , Kanghong Duan , Jim Jing-Yan Wang , Halima Bensmail

Factor analysis is a flexible technique for assessment of multivariate dependence and codependence. Besides being an exploratory tool used to reduce the dimensionality of multivariate data, it allows estimation of common factors that often…

Methodology · Statistics 2020-02-19 Kelly C. M. Gonçalves , Afonso C. B. Silva

Latent or unobserved phenomena pose a significant difficulty in data analysis as they induce complicated and confounding dependencies among a collection of observed variables. Factor analysis is a prominent multivariate statistical modeling…

Methodology · Statistics 2020-06-22 Armeen Taeb , Venkat Chandrasekaran

Latent factor models that integrate data from multiple sources/studies or modalities have garnered considerable attention across various disciplines. However, existing methods predominantly focus either on multi-study integration or…

Methodology · Statistics 2025-07-15 Wei Liu , Qingzhi Zhong

Factor analysis (FA) is a statistical tool for studying how observed variables with some mutual dependences can be expressed as functions of mutually independent unobserved factors, and it is widely applied throughout the psychological,…

Machine Learning · Statistics 2023-06-01 Alex Markham , Mingyu Liu , Bryon Aragam , Liam Solus

We propose a novel classification model for weak signal data, building upon a recent model for Bayesian multi-view learning, Group Factor Analysis (GFA). Instead of assuming all data to come from a single GFA model, we allow latent…

Machine Learning · Statistics 2016-06-08 Sami Remes , Tommi Mononen , Samuel Kaski

Factor analysis has been extensively used to reveal the dependence structures among multivariate variables, offering valuable insight in various fields. However, it cannot incorporate the spatial heterogeneity that is typically present in…

Methodology · Statistics 2024-11-14 Yanxiu Jin , Tomoya Wakayama , Renhe Jiang , Shonosuke Sugasawa

The modal factor model represents a new factor model for dimension reduction in high dimensional panel data. Unlike the approximate factor model that targets for the mean factors, it captures factors that influence the conditional mode of…

Econometrics · Economics 2024-10-01 Zhe Sun , Yundong Tu

Learning multimodal representations is a fundamentally complex research problem due to the presence of multiple heterogeneous sources of information. Although the presence of multiple modalities provides additional valuable information,…

Machine Learning · Computer Science 2019-05-15 Yao-Hung Hubert Tsai , Paul Pu Liang , Amir Zadeh , Louis-Philippe Morency , Ruslan Salakhutdinov

Recent work on overfitting Bayesian mixtures of distributions offers a powerful framework for clustering multivariate data using a latent Gaussian model which resembles the factor analysis model. The flexibility provided by overfitting…

Methodology · Statistics 2019-08-29 Panagiotis Papastamoulis

Mixtures of factor analysers (MFA) models represent a popular tool for finding structure in data, particularly high-dimensional data. While in most applications the number of clusters, and especially the number of latent factors within…

Methodology · Statistics 2023-07-17 Margarita Grushanina , Sylvia Frühwirth-Schnatter

The problem of complex data analysis is a central topic of modern statistical science and learning systems and is becoming of broader interest with the increasing prevalence of high-dimensional data. The challenge is to develop statistical…

Machine Learning · Statistics 2018-03-05 Faicel Chamroukhi , Hien D. Nguyen

Many analyses of functional magnetic resonance imaging (fMRI) examine functional connectivity (FC), or the statistical dependencies among distant brain regions. These analyses are typically exploratory, guiding future confirmatory research.…

Applications · Statistics 2025-10-20 Kyle Stanley , Nicole Lazar , Matthew Reimherr

A multimodal system with Poisson, Gaussian, and multinomial observations is considered. A generative graphical model that combines multiple modalities through common factor loadings is proposed. In this model, latent factors are like…

Applications · Statistics 2015-08-04 Yasin Yilmaz , Alfred O. Hero
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