2004
@inproceedings{PaL2004,
vgclass = {refpap},
author = {Hyun-Jin Park and Te-Won Lee},
title = {A Hierarchical {ICA} Method for Unsupervised Learning of
Nonlinear Dependencies in Natural Images},
editor = {C. G. Puntonet and A. Prieto},
booktitle = {Proceedings of the Fifth International Conference on
Independent Component Analysis and Blind Signal Separation (ICA 2004)},
address = {Granada, Spain},
number = {3195},
series = {Lecture Notes in Computer Science},
pages = {1253--1261},
publisher = {Springer-Verlag},
month = {September~22--24},
year = {2004},
url = {http://www.springerlink.com/link.asp?id=bkhvhntky4gty5up},
abstract = {Capturing dependencies in images in an unsupervised manner
is important for many image-processing applications and understanding
the structure of natural image signals. Linear generative models such
as independent component analysis (ICA) have shown to capture low level
features such as oriented edges in images. However ICA only captures
linear dependency due to its linear model constraints and its modeling
capability is limited. We propose a new method for capturing nonlinear
dependencies in natural images. It is an extension of the linear ICA
method and builds on a hierarchical representation. It makes use of
lower level linear ICA representation and a subsequent mixture of
Laplacian distribution for learning the nonlinear dependencies. The
model is learned via the EM algorithm and it can capture variance
correlation and high order structures in a consistent manner. We
visualize the learned variance structure and demonstrate applications
to image segmentation and denoising.},
}