Unlocking the Potential of Non-PSD Kernel Matrices: A Polar Decomposition-based Transformation for Improved Prediction Models

Author:

Münch Maximilian1ORCID,Röder Manuel2ORCID,Schleif Frank-Michael2ORCID

Affiliation:

1. University of Groningen, Groningen, Netherlands

2. Technical University of Applied Sciences Würzburg-Schweinfurt, Center for Artificial Intelligence and Robotics, Würzburg, Germany

Publisher

ACM

Reference50 articles.

1. Ibrahim M. Alabdulmohsin , Xin Gao , and Xiangliang Zhang . 2014 . Support vector machines with indefinite kernels . In Proceedings of the Sixth Asian Conference on Machine Learning, ACML 2014, Nha Trang City, Vietnam, November 26--28, 2014 (JMLR Workshop and Conference Proceedings , Vol. 39), Dinh Q. Phung and Hang Li (Eds.). JMLR.org. Ibrahim M. Alabdulmohsin, Xin Gao, and Xiangliang Zhang. 2014. Support vector machines with indefinite kernels. In Proceedings of the Sixth Asian Conference on Machine Learning, ACML 2014, Nha Trang City, Vietnam, November 26--28, 2014 (JMLR Workshop and Conference Proceedings, Vol. 39), Dinh Q. Phung and Hang Li (Eds.). JMLR.org.

2. Linear operators in spaces with indefinite metric and their applications

3. Yoshua Bengio , Jean-Francc ois Paiement , Pascal Vincent , Olivier Delalleau , Nicolas Le Roux , and Marie Ouimet . 2003 . Out-of-Sample Extensions for LLE, Isomap, MDS, Eigenmaps, and Spectral Clustering. In Advances in Neural Information Processing Systems 16 [Neural Information Processing Systems , NIPS 2003 , December 8 --13 , 2003, Vancouver and Whistler, British Columbia, Canada], Sebastian Thrun, Lawrence K. Saul, and Bernhard Schö lkopf (Eds.). MIT Press, 177--184. https://proceedings.neurips.cc/paper/2003/hash/cf05968255451bdefe3c5bc64d550517-Abstract.html Yoshua Bengio, Jean-Francc ois Paiement, Pascal Vincent, Olivier Delalleau, Nicolas Le Roux, and Marie Ouimet. 2003. Out-of-Sample Extensions for LLE, Isomap, MDS, Eigenmaps, and Spectral Clustering. In Advances in Neural Information Processing Systems 16 [Neural Information Processing Systems, NIPS 2003, December 8--13, 2003, Vancouver and Whistler, British Columbia, Canada], Sebastian Thrun, Lawrence K. Saul, and Bernhard Schö lkopf (Eds.). MIT Press, 177--184. https://proceedings.neurips.cc/paper/2003/hash/cf05968255451bdefe3c5bc64d550517-Abstract.html

4. Michael Biehl , Kerstin Bunte , and Petra Schneider . 2013. Analysis of Flow Cytometry Data by Matrix Relevance Learning Vector Quantization. PLoS ONE ( 2013 ). Michael Biehl, Kerstin Bunte, and Petra Schneider. 2013. Analysis of Flow Cytometry Data by Matrix Relevance Learning Vector Quantization. PLoS ONE (2013).

5. The SWISS-PROT protein knowledgebase and its supplement TrEMBL in 2003

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