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  Implicit Wiener series for capturing higher-order interactions in images

Franz, M., & Schölkopf, B. (2004). Implicit Wiener series for capturing higher-order interactions in images. Poster presented at Gordon Research Conference: Sensory Coding and the Natural Environment 2004, Oxford, UK.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-F33B-A Version Permalink: http://hdl.handle.net/21.11116/0000-0005-6229-F
Genre: Poster

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 Creators:
Franz, MO1, 2, Author              
Schölkopf, B1, 2, Author              
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              

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 Abstract: The information about the objects in an image is almost exclusively described by the higher-order interactions of its pixels. The Wiener series is one of the standard methods to systematically characterize these interactions. However, the classical estimation method of the Wiener expansion coefficients via cross-correlation suffers from severe problems that prevent its application to high-dimensional and strongly nonlinear signals such as images. We propose an estimation method based on regression in a reproducing kernel Hilbert space that overcomes these problems using polynomial kernels as known from Support Vector Machines and other kernel-based methods. Numerical experiments show performance advantages in terms of convergence, interpretability and system sizes that can be handled. By the time of the conference, we will be able to present first results on the higher-order structure of natural images.

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 Dates: 2004-09
 Publication Status: Published online
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 Rev. Type: -
 Identifiers: BibTex Citekey: 2624
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Title: Gordon Research Conference: Sensory Coding and the Natural Environment 2004
Place of Event: Oxford, UK
Start-/End Date: 2004-09-05 - 2004-09-10

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Title: Gordon Research Conference: Sensory Coding and the Natural Environment 2004
Source Genre: Proceedings
 Creator(s):
Olshausen, BA, Editor
Lewicki, M, Editor
Affiliations:
-
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: - Identifier: -