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



ID: 232630.0, MPI für biologische Kybernetik / Biologische Kybernetik
Learning to Find Pre-Images
Authors:Bakir, G.H.; Weston, J.; Schölkopf, B.
Editors:Thrun, S.; Saul, L.; Schölkopf, B.
Date of Publication (YYYY-MM-DD):2004
Title of Proceedings:Advances in Neural Information Processing Systems
Start Page:449
End Page:456
Physical Description:8
Audience:Not Specified
Intended Educational Use:No
Abstract / Description:We consider the problem of reconstructing patterns from a feature
map. Learning algorithms using kernels to operate in a reproducing kernel Hilbert space (RKHS) express
their solutions in terms of input points mapped into the RKHS. We
introduce a technique based on kernel principal component analysis
and regression to reconstruct corresponding patterns in the input space (aka pre-images) and review
its performance in several applications requiring
the construction of pre-images. The introduced technique avoids
difficult and/or unstable numerical optimization, is easy to
implement and, unlike previous methods, permits the computation of pre-images
in discrete input spaces.
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Holger Fischer
Affiliations:MPI für biologische Kybernetik/Empirical Inference (Dept. Schölkopf)
Identifiers:LOCALID:2281
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