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Spurious Factor Analysis [PDF]
This paper draws parallels between the principal components analysis of factorless high‐dimensional nonstationary data and the classical spurious regression. We show that a few of the principal components of such data absorb nearly all the data variation.
Onatskiy, Alexey, Wang, Chen
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Phylogenetic Factor Analysis [PDF]
51 pages (42 main, 9 supplemental), 9 figures (5 main, 4 supplemental), 4 tables (2 main, 2 supplemental), submitted to Systematic ...
Tolkoff, Max R+4 more
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Expandable factor analysis [PDF]
28 pages, 4 ...
Barbara E. Engelhardt+2 more
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Multimodal factor analysis [PDF]
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 summary objects that has latent factor scores in each modality, and the observed objects are represented in terms of ...
Alfred O. Hero, Yasin Yilmaz
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Factor analysis provides linear factors that describe relationships between individual variables of a data set. We extend this classical formulation into linear factors that describe relationships between groups of variables, where each group represents either a set of related variables or a data set.
Klami, Arto+4 more
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Multilingual Factor Analysis [PDF]
In this work we approach the task of learning multilingual word representations in an offline manner by fitting a generative latent variable model to a multilingual dictionary. We model equivalent words in different languages as different views of the same word generated by a common latent variable representing their latent lexical meaning.
Francisco Vargas+3 more
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Bayesian exploratory factor analysis [PDF]
This paper develops and applies a Bayesian approach to Exploratory Factor Analysis that improves on ad hoc classical approaches. Our framework relies on dedicated factor models and simultaneously determines the number of factors, the allocation of each measurement to a unique factor, and the corresponding factor loadings.
Conti, Gabriella+3 more
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AbstractOur aim is to construct a factor analysis method that can resist the effect of outliers. For this we start with a highly robust initial covariance estimator, after which the factors can be obtained from maximum likelihood or from principal factor analysis (PFA).
Pison, Greet+3 more
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Conditions for Factor (in)Determinacy in Factor Analysis [PDF]
The subject of factor indeterminacy has a vast history in factor analysis (Guttman, 1955; Lederman, 1938; Wilson, 1928). It has lead to strong differences in opinion (Steiger, 1979). The current paper gives necessary and sufficient conditions for observability of factors in terms of the parameter matrices and a finite number of variables.
Krijnen, W.P.+2 more
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Factor analysis is a multivariate statistical method for data reduction that originated in psychometrics and has found applications in many branches of science. The method aims to describe the correlation structure between a large set of observed variables in terms of a few underlying latent variables called factors.
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