Training and Approximation of a Primal Multiclass Support Vector Machine

Zien, A; Bona, FD; Ong, CS

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Training and Approximation of a Primal Multiclass Support Vector Machine

Zien, A., Bona, F., & Ong, C. (2007). Training and Approximation of a Primal Multiclass Support Vector Machine. In C. Skiadas (Ed.), XIIth International Conference on Applied Stochastic Models and Data Analysis (ASMDA 2007) (pp. 1-8).

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-CD6D-7 Version Permalink: https://hdl.handle.net/21.11116/0000-0003-E2E5-B

Genre: Conference Paper

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http://www.asmda.com//CDasmda2007a/papers/papers_uvwxyz/ZIEN_Training_Approximation_Primal_Multiclass_ASMDA2007_paper.pdf (Publisher version) Open Access status unknown

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Creators:
Zien, A^{1, 2, 3}, Author
Bona, FD, Author
Ong, CS^{1, 2, 3}, 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
3Friedrich Miescher Laboratory, Max Planck Society, Max-Planck-Ring 9, 72076 Tübingen, DE, ou_2575692

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Abstract: We revisit the multiclass support vector machine (SVM) and generalize
the formulation to convex loss functions and joint feature maps. Motivated by
recent work [Chapelle, 2006] we use logistic loss and softmax to enable gradient
based primal optimization. Kernels are incorporated via kernel principal component
analysis (KPCA), which naturally leads to approximation methods for large scale
problems. We investigate similarities and differences to previous multiclass SVM
approaches. Experimental comparisons to previous approaches and to the popular
one-vs-rest SVM are presented on several different datasets.

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Dates: Date issued: 2007-06

Publication Status: Issued

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Identifiers: BibTex Citekey: 3983

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Title: XIIth International Conference on Applied Stochastic Models and Data Analysis (ASMDA 2007)

Place of Event: Chania, Greece

Start-/End Date: 2007-05-29 - 2007-06-01

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Title: XIIth International Conference on Applied Stochastic Models and Data Analysis (ASMDA 2007)

Source Genre: Proceedings

Creator(s):
Skiadas, CH, Editor

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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 1 - 8 Identifier: -