Bayesian Methods For Support Vector Machines

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Bayesian Methods for Support Vector Machines: Evidence and ...

    https://link.springer.com/article/10.1023%2FA%3A1012489924661
    Jan 01, 2002 · I describe a framework for interpreting Support Vector Machines (SVMs) as maximum a posteriori (MAP) solutions to inference problems with Gaussian Process priors. This probabilistic interpretation can provide intuitive guidelines for choosing a ‘good’ SVM kernel. Beyond this, it allows Bayesian methods to be used for tackling two of the outstanding …Cited by: 258

Bayesian Methods for Support Vector Machines: Evidence and ...

    https://nms.kcl.ac.uk/peter.sollich/papers_pdf/SVM_MLMM_Kluwer.pdf
    Abstract. I describe a framework for interpreting Support Vector Machines (SVMs) as maximum a posteriori (MAP) solutions to inference problems with Gaussian Process priors. This probabilistic interpretation can provide intuitive guidelines for choosing a ‘good’ SVM kernel. Beyond this, it allows Bayesian methods to be used forCited by: 258

Bayesian Multicategory Support Vector Machines

    https://people.eecs.berkeley.edu/~jordan/papers/zhang-uai06.pdf
    Bayesian support vector regression method. Our ap-proach borrows some of the technical machinery from these papers in the construction of likelihood func-tions, but our focus on the MSVM framework leads us in a somewhat di erent direction from those papers, none of which readily yield multi-class SVMs. The major advantage of the Bayesian ...

Bayesian Methods for Support Vector Machines: Evidence and ...

    http://web.cs.iastate.edu/~honavar/bayes-svm.pdf
    Bayesian Methods for Support Vector Machines: Evidence and Predictive Class Probabilities PETER SOLLICH [email protected] Department of Mathematics, King’s College London, Strand, London WC2R 2LS, UK Editor: Nello Cristianini Abstract. I describe a framework for interpreting Support Vector Machines (SVMs) as maximum a posteriori

(PDF) Probabilistic interpretations and Bayesian methods ...

    https://www.researchgate.net/publication/2584206_Probabilistic_interpretations_and_Bayesian_methods_for_Support_Vector_Machines
    Probabilistic interpretations and Bayesian methods for Support Vector Machines ... Gaussian process approaches with a previous ordinal regression method based on support vector machines on some ...Author: Peter Sollich

Bayesian Methods for Support Vector Machines

    https://dl.acm.org/citation.cfm?id=599659
    Bayesian Methods for Support Vector Machines: Evidence and Predictive Class Probabilities. Author: Peter Sollich: Department of Mathematics, King's College London, Strand, London WC2R 2LS, UK. [email protected] Published in: · Journal: Machine Learning archive: Volume 46 …Cited by: 258

(PDF) Bayesian Methods for Support Vector Machines ...

    https://www.researchgate.net/publication/2461377_Bayesian_Methods_for_Support_Vector_Machines_Evidence_and_Predictive_Class_Probabilities
    Bayesian Methods for Support Vector Machines: Evidence and Predictive Class Probabilities Article (PDF Available) in Machine Learning 46(1) · …Author: Peter Sollich

Bayesian decision theory for support vector machines ...

    https://www.sciencedirect.com/science/article/pii/S0957417410009589
    2. A brief of Bayesian decision theory and support vector machines 2.1. Bayesian decision theory. In order to establish and explain this link between the SVM classifier and Bayesian approach, let us first review the method of Bayesian decision theory. The Bayesian rule and optimal classifier under Gaussian assumptions have been quite well ...Cited by: 14

Bayesian Nonlinear Support Vector Machines for Big Data ...

    https://link.springer.com/chapter/10.1007%2F978-3-319-71249-9_19
    Dec 30, 2017 · We propose a fast inference method for Bayesian nonlinear support vector machines that leverages stochastic variational inference and inducing points. Our experiments show that the proposed method is...Cited by: 4

Support-vector machine - Wikipedia

    https://en.wikipedia.org/wiki/Support-vector_machine
    The soft-margin support vector machine described above is an example of an empirical risk minimization (ERM) algorithm for the hinge loss. Seen this way, support vector machines belong to a natural class of algorithms for statistical inference, and many of its unique features are due to the behavior of the hinge loss.



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