Abstract
The present paper proposes new approaches for recommendation tasks based on one-class support vector machines (1-SVMs) with graph kernels generated from a Laplacian matrix. We introduce new formulations for the 1-SVM that can manipulate graph kernels quite efficiently. We demonstrate that the proposed formulations fully utilize the sparse structure of the Laplacian matrix, which enables the proposed approaches to be applied to recommendation tasks having a large number of customers and products in practical computational times. Results of various numerical experiments demonstrating the high performance of the proposed approaches are presented.
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References
Belkin, M., Niyogi, P.: Semi-supervised learning on Riemannian manifolds. Machine Learning 56, 209–239 (2004)
Chung, F.R.: Spectral Graph Theory. American Mathematical Society (1997)
Fouss, F., Pirotte, A., Saerens, M.: A novel way of computing dissimilarities between nodes of a graph, with application to collaborative filtering. In: ECML/SAWM, pp. 26–37 (2004)
Ito, T., Shimbo, M., Kudo, T., Matsumoto, Y.: Application of kernels to link analysis. In: KDD 2005, pp. 586–592 (2005)
Resnick, P., Iacovou, N., Suchak, M., Bergstorm, P., Riedl, J.: GroupLens: An Open Architecture for Collaborative Filtering of Netnews. In: Proceedings of ACM 1994 Conference on Computer Supported Cooperative Work, pp. 175–186 (1994)
Sarwar, B., Karypis, G., Konstan, J., Riedl, J.: Analysis of recommendation algorithms for e-commerce. In: EC 2000: Proceedings of the 2nd ACM Conference on Electronic Commerce, pp. 158–167 (2000)
Schölkopf, B., Platt, J.C., Shawe-Taylor, J., Smola, A.J., Williamson, R.C.: Estimating the support of a high-dimensional distribution. Neural Computation 13, 1443–1471 (2001)
Shardanand, U., Maes, P.: Social information filtering: Algorithms for automating “word of mouth”. In: ACM CHI 1995, pp. 210–217 (1995)
Shawe-Taylor, J., Cristianini, N.: Kernel Methods for Pattern Analysis. Cambridge University Press, Cambridge (2004)
Smola, A., Kondor, I.: Kernels and regularization on graphs. In: Schölkopf, B., Warmuth, M.K. (eds.) COLT/Kernel 2003. LNCS, vol. 2777, pp. 144–158. Springer, Heidelberg (2003)
Szummer, M., Jaakkola, T.: Partially labeled classification with Markov random walks. Advances in Neural Information Processing Systems 14, 945–952 (2002)
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Yajima, Y. (2006). One-Class Support Vector Machines for Recommendation Tasks. In: Ng, WK., Kitsuregawa, M., Li, J., Chang, K. (eds) Advances in Knowledge Discovery and Data Mining. PAKDD 2006. Lecture Notes in Computer Science(), vol 3918. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11731139_28
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DOI: https://doi.org/10.1007/11731139_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-33206-0
Online ISBN: 978-3-540-33207-7
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