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  Implicit Volterra and Wiener Series for Higher-Order Image Analysis

Franz, M., & Schölkopf, B. (2006). Implicit Volterra and Wiener Series for Higher-Order Image Analysis. Poster presented at 30th Annual Conference of the German Classification Society: Advances in Data Analysis (GfKl 2006), Berlin, Germany.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-D2A1-C Version Permalink: https://hdl.handle.net/21.11116/0000-0004-C8B4-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 computation of classical higher-order statistics such as higher-order moments or spectra is difficult for images due to the
huge number of terms to be estimated and interpreted. We propose an
alternative approach in which multiplicative pixel interactions are
described by a series of Wiener functionals. Since the functionals
are estimated implicitly via polynomial kernels, the combinatorial
explosion associated with the classical higher-order statistics is
avoided. In addition, the kernel framework allows for estimating
infinite series expansions and for the regularized estimation of the
Wiener series. First results show that image structures such as
lines or corners can be predicted correctly, and that pixel
interactions up to the order of five play an important role in
natural images.

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 Dates: 2006-03
 Publication Status: Published online
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 Identifiers: BibTex Citekey: 3911
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Title: 30th Annual Conference of the German Classification Society: Advances in Data Analysis (GfKl 2006)
Place of Event: Berlin, Germany
Start-/End Date: 2006-03-08 - 2006-03-10

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Title: 30th Annual Conference of the German Classification Society: Advances in Data Analysis (GfKl 2006)
Source Genre: Proceedings
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 106 - 107 Identifier: -