Nonlinear principal components, II: Characterization of normal distributions
نویسندگان
چکیده
منابع مشابه
Nonlinear principal components analysis: introduction and application.
The authors provide a didactic treatment of nonlinear (categorical) principal components analysis (PCA). This method is the nonlinear equivalent of standard PCA and reduces the observed variables to a number of uncorrelated principal components. The most important advantages of nonlinear over linear PCA are that it incorporates nominal and ordinal variables and that it can handle and discover n...
متن کاملA characterization of elliptical distributions and some optimality properties of principal components for functional data
As in the multivariate setting, the class of elliptical distributions on separable Hilbert spaces serves as an important vehicle and reference point for the development and evaluation of robust methods in functional data analysis. In this paper, we present a simple characterization of elliptical distributions on separable Hilbert spaces, namely we show that the class of elliptical distributions...
متن کاملAsymptotic distributions of principal components based on robust dispersions
Algebraically, principal components can be defined as the eigenvalues and eigenvectors of a covariance or correlation matrix, but they are statistically meaningful as successive projections of the multivariate data in the direction of maximal variability. An attractive alternative in robust principal component analysis is to replace the classical variability measure, i.e. variance, by a robust ...
متن کاملDimensionality reduction of speech features using nonlinear principal components analysis
One of the main practical difficulties for automatic speech recognition is the large dimensionality of acoustic feature spaces and the subsequent training problems collectively referred to as the “curse of dimensionality.” Many linear techniques, most notably principal components analysis (PCA) and linear discriminant analysis (LDA) and several variants have been used to reduce dimensionality w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 2009
ISSN: 0047-259X
DOI: 10.1016/j.jmva.2008.07.001