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          Institute: MPI für biologische Kybernetik     Collection: Biologische Kybernetik     Display Documents



ID: 548525.0, MPI für biologische Kybernetik / Biologische Kybernetik
Hierarchical Modeling of Local Image Features through Lp-Nested Symmetric Distributions
Authors:Sinz, F.; Simoncelli, E.P.; Bethge, M.
Editors:Bengio, Y.; Schuurmans, D.; Lafferty, J.; Williams, C.; Culotta, A.
Date of Publication (YYYY-MM-DD):2010-04
Title of Proceedings:Advances in Neural Information Processing Systems 22: 23rd Annual Conference on Neural Information Processing Systems 2009
Start Page:1696
End Page:1704
Physical Description:9
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:We introduce a new family of distributions, called $L_p${em -nested symmetric distributions}, whose densities access the data
exclusively through a hierarchical cascade of $L_p$-norms. This
class generalizes the family of spherically and $L_p$-spherically
symmetric distributions which have recently been successfully used
for natural image modeling. Similar to those distributions it
allows for a nonlinear mechanism to reduce the dependencies between
its variables. With suitable choices of the parameters and norms,
this family also includes the Independent Subspace Analysis (ISA)
model, which has been proposed as a means of deriving filters that
mimic complex cells found in mammalian primary visual
cortex. $L_p$-nested distributions are easy to estimate and allow us
to explore the variety of models between ISA and the
$L_p$-spherically symmetric models. Our main findings are that,
without a preprocessing step of contrast gain control, the
independent subspaces of ISA are in fact more dependent than the
individual filter coefficients within a subspace and, with contrast
gain control, where ISA finds more than one subspace, the filter
responses were almost independent anyway.
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Holger Fischer
Affiliations:MPI für biologische Kybernetik/NWG Bethge
Identifiers:LOCALID:6047
URL:http://nips.cc/Conferences/2009/
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