Higher-order structure of natural images

We present a statistical model for learning efficient codes of higher-order structure in natural images. The model, a non-linear generalization of independent component analysis, replaces the standard assumption of independence for the joint distribution of coefficients with a distribution that is adapted to the variance structure of the coefficients of an efficient image basis. This offers a novel description of higher order image structure and provides a way to learn coarse-coded, sparse-distributed representations of abstract image properties such as object location, scale, and texture.

[1]  Eero P. Simoncelli,et al.  Natural signal statistics and sensory gain control , 2001, Nature Neuroscience.

[2]  A. Hyvärinen,et al.  A multi-layer sparse coding network learns contour coding from natural images , 2002, Vision Research.

[3]  J. Cardoso Infomax and maximum likelihood for blind source separation , 1997, IEEE Signal Processing Letters.

[4]  Barak A. Pearlmutter,et al.  A Context-Sensitive Generalization of ICA , 1996 .

[5]  P O Hoyer,et al.  Independent component analysis applied to feature extraction from colour and stereo images , 2000, Network.

[6]  Terrence J. Sejnowski,et al.  The “independent components” of natural scenes are edge filters , 1997, Vision Research.

[7]  J. H. Hateren,et al.  Independent component filters of natural images compared with simple cells in primary visual cortex , 1998 .

[8]  Michael S. Lewicki,et al.  Unsupervised image classification, segmentation, and enhancement using ICA mixture models , 2002, IEEE Trans. Image Process..

[9]  David J. Field,et al.  Emergence of simple-cell receptive field properties by learning a sparse code for natural images , 1996, Nature.

[10]  Eero P. Simoncelli,et al.  Natural image statistics and neural representation. , 2001, Annual review of neuroscience.

[11]  D. Ruderman,et al.  Independent component analysis of natural image sequences yields spatio-temporal filters similar to simple cells in primary visual cortex , 1998, Proceedings of the Royal Society of London. Series B: Biological Sciences.