Learning to Find Pre-Images

Bakir, GH; Weston, J; Schölkopf, B

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Learning to Find Pre-Images

Bakir, G., Weston, J., & Schölkopf, B. (2004). Learning to Find Pre-Images. In S. Thrun, L. Saul, & B. Schölkopf (Eds.), Advances in Neural Information Processing Systems 16 (pp. 449-456). Cambridge, MA, USA: MIT Press.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-D8ED-0 Version Permalink: https://hdl.handle.net/21.11116/0000-0005-536D-4

Genre: Conference Paper

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https://papers.nips.cc/paper/2417-learning-to-find-pre-images.pdf (Publisher version) Open Access status unknown

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Creators:
Bakir, GH^{1, 2}, Author
Weston, J^{1, 2}, Author
Schölkopf, B^{1, 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: 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.

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Dates: Date issued: 2004-06

Publication Status: Issued

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Identifiers: BibTex Citekey: 2281

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Title: Seventeenth Annual Conference on Neural Information Processing Systems (NIPS 2003)

Place of Event: Whistler, BC, Canada

Start-/End Date: 2003-12-09 - 2003-12-11

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Title: Advances in Neural Information Processing Systems 16

Source Genre: Proceedings

Creator(s):
Thrun, S, Editor
Saul, LK, Editor
Schölkopf, B¹, Editor

Affiliations:
1 Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497794

Publ. Info: Cambridge, MA, USA : MIT Press

Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 449 - 456 Identifier: ISBN: 0-262-20152-6