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Bayesian Methods for Support Vector Machines: Evidence and Predictive Class Probabilities

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Sollich, Peter·2002·Machine Learning

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  1. Barber, D. & Bishop, C. M. (1997). Bayesian model comparison by Monte Carlo chaining. In M. C. Mozer, M. I. Jordan, & T. Petsche (Eds.). Advances in neural information processing systems NIPS 9 (pp. 333-339). Cambridge, MA: MIT Press.
  2. Barber, D. & Williams, C. K. I. (1997). Gaussian processes for Bayesian classification via hybrid Monte Carlo. In M. C. Mozer, M. I. Jordan, & T. Petsche (Eds.). Advances in neural information processing systems NIPS 9 (pp. 340-346). Cambridge, MA: MIT Press.
  3. Burges, C. J. C. (1998). A tutorial on support vector machines for pattern recognition. Data Mining and Knowledge Discovery, 2:2, 121-167. · DOI · Paper page
  4. Chapelle, O. & Vapnik, V. N. (2000). Model selection for support vector machines. In S. A. Solla, T. K. Leen, & K.-R. Müller (Eds.). Advances in neural information processing systems 12 (pp. 230-236). Cambridge, MA: MIT Press.
  5. Cristianini, N., Campbell, C., & Shawe-Taylor, J. (1999). Dynamically adapting kernels in support vector machines. In M. Kearns, S. A. Solla, & D. Cohn (Eds.). Advances in neural information processing systems 11 (pp. 204-210). Cambridge, MA: MIT Press.
  6. Cristianini, N. & Shawe-Taylor, J. (2000). An introduction to support vector machines. Cambridge: Cambridge University Press.
  7. Csató, L., Fokoué, E., Opper, M., Schottky, B., & Winther, O. (2000). Efficient Approaches to Gaussian Process Classification. In: S. Solla, T. Leen, & K.-R. Müller (Eds.). Advances in neural information processing systems 12 (pp. 251-257). Cambridge, MA: MIT Press.
  8. Jaakkola, T. & Haussler, D. (1999). Probabilistic kernel regression models. In D. Heckerman & J. Whittaker (Eds.). Proceedings of the Seventh International Workshop on Artificial Intelligence and Statistics. San Francisco, CA.
  9. Kwok, J. T. Y. (1999a). Integrating the evidence framework and the support vector machine. In Proc. European Symp. Artificial Neural Networks (Bruges 1999) (pp. 177-182). Brussels.
  10. Kwok, J. T. Y. (1999b). Moderating the outputs of support vector machine classifiers. IEEE Trans. Neural Netw., 10:5, 1018-1031. · DOI · Paper page
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  12. Opper, M. & Winther, O. (2000). Gaussian process classification and SVM: Mean field results and leave-one-out estimator. In A. J. Smola, P. Bartlett, B. Schölkopf, & D. Schuurmans (Eds.). Advances in large margin classifiers (pp. 43-65). Cambridge, MA: MIT Press.
  13. Pontil, M., Mukherjee, S., & Girosi, F. (1998). On the noise model of support vector machine regression. Technical Report CBCL Paper 168, AI Memo 1651, Massachusetts Institute of Technology, Cambridge, MA.
  14. Ripley, B. D. (1996). Pattern recognition and neural networks. Cambridge: Cambridge University Press. · DOI · Paper page
  15. Schölkopf, B., Bartlett, P., Smola, A., & Williamson, R. (1999). Shrinking the tube: a newsupport vector regression algorithm. In M. Kearns, S. A. Solla, & D. Cohn (Eds.). Advances in neural information processing systems 11 (pp. 330-336). Cambridge, MA: MIT Press.
  16. Schölkopf, B., Burges, C., & Smola, A. J. (1998). Advances in kernel methods: support vector machines. Cambridge, MA: MIT Press.
  17. Seeger, M. (2000). Bayesian model selection for support vector machines, Gaussian processes and other kernel classifiers. In S. Solla, T. Leen, & K.-R. Müller (Eds.). Advances in neural information processing systems 12 (pp. 603-609). Cambridge, MA.
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  19. Smola, A. J., Schölkopf, B., & Müller, K. R. (1998). The connection between regularization operators and support vector kernels. Neural Networks, 11:4, 637-649. · DOI · Paper page
  20. Sollich, P. (1999). Probabilistic interpretation and Bayesian methods for support vector machines. In ICANN99-Ninth International Conference on Artificial Neural Networks (pp. 91-96). London. · DOI
  21. Sollich, P. (2000). Probabilistic methods for support vector machines. In S. A. Solla, T. K. Leen, & K.-R. Müller (Eds.). Advances in neural information processing systems 12 (pp. 349-355). Cambridge, MA: MIT Press.
  22. Tipping, M. E. (2000). The relevance vector machine. In S. Solla, T. Leen, & K.-R. Müller (Eds.). Advances in neural information processing systems 12 (pp. 652-658). Cambridge, MA: MIT Press.
  23. Vapnik, V. (1995). The nature of statistical learning theory. New York: Springer. · DOI · Paper page
  24. Wahba, G. (1998). Support vector machines, reproducing kernel Hilbert spaces and the randomized GACV. In B. Schölkopf, C. Burges, & A. J. Smola (Eds.). Advances in kernel methods: support vector machines (pp. 69-88). Cambridge, MA: MIT Press.
  25. Williams, C. K. I. (1998). Prediction with Gaussian processes: from linear regression to linear prediction and beyond. In M. I. Jordan (Ed.). Learning and inference in graphical models (pp. 599-621). Dordrecht: Kluwer Academic. · DOI · Paper page

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Metadata

Authors
Sollich, P.
Venue
Machine Learning
Published
2002-01
Volume
46
Issue
1-3
Pages
21-52
ISSN
  • 0885-6125 (ISSN-L)
  • 1573-0565
OpenAlex
W1567323455
Cited by
187
References
0
FWCI
7.70
Type
journal article
Language
en
Open access
bronze
Licence

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Sollich, P. (2002). Bayesian Methods for Support Vector Machines: Evidence and Predictive Class Probabilities. Machine Learning. https://doi.org/10.1023/a%3A1012489924661

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