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Article
A Unified Neural Network Framework for Extended Redundancy Analysis
Component-based approaches have been regarded as a tool for dimension reduction to predict outcomes from observed variables in regression applications. Extended redundancy analysis (ERA) is one such component-...
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Article
Bayesian Mixture Model of Extended Redundancy Analysis
Extended redundancy analysis (ERA), a generalized version of redundancy analysis (RA), has been proposed as a useful method for examining interrelationships among multiple sets of variables in multivariate lin...
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Article
An empirical comparison of generalized structured component analysis and partial least squares path modeling under variance-based structural equation models
Generalized structured component analysis (GSCA) and partial least squares path modeling (PLSPM) are component-based, or also called variance-based, structural equation modeling (SEM). They define latent varia...
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Article
Functional Parallel Factor Analysis for Functions of One- and Two-dimensional Arguments
Parallel factor analysis (PARAFAC) is a useful multivariate method for decomposing three-way data that consist of three different types of entities simultaneously. This method estimates trilinear components, e...
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Chapter and Conference Paper
Three-Way Generalized Structured Component Analysis
Generalized structured component analysis (GSCA) is a component-based approach to structural equation modeling, where components of observed variables are used as proxies for latent variables. GSCA has thus fa...
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Article
A Unified Approach to Functional Principal Component Analysis and Functional Multiple-Set Canonical Correlation
Functional principal component analysis (FPCA) and functional multiple-set canonical correlation analysis (FMCCA) are data reduction techniques for functional data that are collected in the form of smooth curv...
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Article
Fuzzy Clusterwise Functional Extended Redundancy Analysis
Functional data refer to data that are assumed to be generated from an underlying smooth function varying over a continuum such as time or space. Functional linear models (FLMs) and functional extended redunda...
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Article
Hierarchically Structured Fuzzy c-Means Clustering
Fuzzy c-means clustering is a useful method for capturing group-level heterogeneity of objects. This method estimates cluster centroids and fuzzy memberships simultaneously. A potential limitation of fuzzy c-mean...