Symplectic Nonlinear Component Analysis
Abstract
Statistically independent features can be extracted by finding a fac(cid:173) torial representation of a signal distribution. Principal Component Analysis (PCA) accomplishes this for linear correlated and Gaus(cid:173) sian distributed signals. Independent Component Analysis (ICA), formalized by Comon (1994), extracts features in the case of lin(cid:173) ear statistical dependent but not necessarily Gaussian distributed signals. Nonlinear Component Analysis finally should find a facto(cid:173) rial representation for nonlinear statistical dependent distributed signals. This paper proposes for this task a novel feed-forward, information conserving, nonlinear map - the explicit symplectic transformations. It also solves the problem of non-Gaussian output distributions by considering single coordinate higher order statis(cid:173) tics.
Cite
Text
Parra. "Symplectic Nonlinear Component Analysis." Neural Information Processing Systems, 1995.Markdown
[Parra. "Symplectic Nonlinear Component Analysis." Neural Information Processing Systems, 1995.](https://mlanthology.org/neurips/1995/parra1995neurips-symplectic/)BibTeX
@inproceedings{parra1995neurips-symplectic,
title = {{Symplectic Nonlinear Component Analysis}},
author = {Parra, Lucas C.},
booktitle = {Neural Information Processing Systems},
year = {1995},
pages = {437-443},
url = {https://mlanthology.org/neurips/1995/parra1995neurips-symplectic/}
}