Bayesian Multicategory Support Vector Machines

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Bayesian Multicategory Support Vector Machines

    https://people.eecs.berkeley.edu/~jordan/papers/zhang-uai06.pdf
    Bayesian Multicategory Support Vector Machines Zhihua Zhang Electrical and Computer Engineering University of California Santa Barbara, CA 93106 Michael I. Jordan Computer Science and Statistics University of California Berkeley, CA 94720 Abstract We show that the multi-class support vec-tor machine (MSVM) proposed by Lee et al.

(PDF) Bayesian Multicategory Support Vector Machines

    https://www.researchgate.net/publication/228092024_Bayesian_Multicategory_Support_Vector_Machines
    We show that the multi-class support vector machine (MSVM) proposed by Lee et. al. (2004), can be viewed as a MAP estimation procedure under an appropriate probabilistic interpretation of the ...

[1206.6863] Bayesian Multicategory Support Vector Machines

    https://arxiv.org/abs/1206.6863
    We show that the multi-class support vector machine (MSVM) proposed by Lee et. al. (2004), can be viewed as a MAP estimation procedure under an appropriate probabilistic interpretation of the classifier. We also show that this interpretation can be extended to a hierarchical Bayesian architecture and to a fully-Bayesian inference procedure for multi-class classification based on data ...Cited by: 1

Data Augmentation and Bayesian Methods for Multicategory ...

    http://www.sciencepublishinggroup.com/journal/paperinfo?journalid=367&doi=10.11648/j.ijdsa.20190503.12
    The support vector machine (SVM) has become very popular within the machine learning literature. Recently, SVM has received much attention from statisticians. It is well known that for multicategory classification problem, the commonly used multicategory SVM is based on the frequentist framework. In this paper, we develop a multi-class support vector machine under the Bayesian framework.Author: Yeqian Liu

CiteSeerX — Bayesian multicategory support vector machines

    http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.165.8661
    CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We show that the multi-class support vector machine (MSVM) proposed by Lee et al. (2004) can be viewed as a MAP estimation procedure under an appropriate probabilistic interpretation of the classifier. We also show that this interpretation can be extended to a hierarchical Bayesian architecture and to a fully-Bayesian ...

Bayesian Multicategory Support Vector Machines - CORE

    https://core.ac.uk/display/6206725
    Bayesian Multicategory Support Vector Machines . By Zhihua Zhang and Michael I. Jordan. Abstract. We show that the multi-class support vector machine (MSVM) proposed by Lee et. al. (2004), can be viewed as a MAP estimation procedure under an appropriate probabilistic interpretation of the classifier. ... We also show that this interpretation ...Author: Zhihua Zhang and Michael I. Jordan

Bayesian Multicategory Support Vector Machines

    https://people.eecs.berkeley.edu/~jordan/papers/zhang-uai06.pdf
    Bayesian Multicategory Support Vector Machines Zhihua Zhang Electrical and Computer Engineering University of California Santa Barbara, CA 93106 Michael I. Jordan Computer Science and Statistics University of California Berkeley, CA 94720 Abstract We show that the multi-class support vec-tor machine (MSVM) proposed by Lee et al.

(PDF) Bayesian Multicategory Support Vector Machines

    https://www.researchgate.net/publication/228092024_Bayesian_Multicategory_Support_Vector_Machines
    We show that the multi-class support vector machine (MSVM) proposed by Lee et. al. (2004), can be viewed as a MAP estimation procedure under an appropriate probabilistic interpretation of the ...

Data Augmentation and Bayesian Methods for Multicategory ...

    http://article.ijdsa.org/pdf/10.11648.j.ijdsa.20190503.12.pdf
    methods for the Bayesian support vector machine [6] can only handle two-category classification problem under Bayesian framework. Based on stochastic variational inference [7] and inducing points [8], we develop a Bayesian support vector machine for multicategory classification problem in this paper.Author: Yeqian Liu

Data Augmentation and Bayesian Methods for Multicategory ...

    http://www.sciencepublishinggroup.com/journal/paperinfo?journalid=367&doi=10.11648/j.ijdsa.20190503.12
    The support vector machine (SVM) has become very popular within the machine learning literature. Recently, SVM has received much attention from statisticians. It is well known that for multicategory classification problem, the commonly used multicategory SVM is based on the frequentist framework. In this paper, we develop a multi-class support vector machine under the Bayesian framework.Author: Yeqian Liu

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 …

[1206.6863] Bayesian Multicategory Support Vector Machines

    https://arxiv.org/abs/1206.6863
    We show that the multi-class support vector machine (MSVM) proposed by Lee et. al. (2004), can be viewed as a MAP estimation procedure under an appropriate probabilistic interpretation of the classifier. We also show that this interpretation can be extended to a hierarchical Bayesian architecture and to a fully-Bayesian inference procedure for multi-class classification based on data ...Cited by: 1

CiteSeerX — Bayesian multicategory support vector machines

    http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.165.8661
    CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We show that the multi-class support vector machine (MSVM) proposed by Lee et al. (2004) can be viewed as a MAP estimation procedure under an appropriate probabilistic interpretation of the classifier. We also show that this interpretation can be extended to a hierarchical Bayesian architecture and to a fully-Bayesian ...

CiteSeerX — Bayesian Multicategory Support Vector Machines

    http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.4828
    CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): We show that the multi-class support vector machine (MSVM) proposed by Lee et al.

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 faster than competing Bayesian approaches and scales easily to millions of data points.Cited by: 4



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