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Multinomial Kernel Logistic Regression via Bound Optimization Approach
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 Title & Authors
Multinomial Kernel Logistic Regression via Bound Optimization Approach
Shim, Joo-Yong; Hong, Dug-Hun; Kim, Dal-Ho; Hwang, Chang-Ha;
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Multinomial logistic regression is probably the most popular representative of probabilistic discriminative classifiers for multiclass classification problems. In this paper, a kernel variant of multinomial logistic regression is proposed by combining a Newton's method with a bound optimization approach. This formulation allows us to apply highly efficient approximation methods that effectively overcomes conceptual and numerical problems of standard multiclass kernel classifiers. We also provide the approximate cross validation (ACV) method for choosing the hyperparameters which affect the performance of the proposed approach. Experimental results are then presented to indicate the performance of the proposed procedure.
Approximate cross validation;hyperparameters;multinomial logistic regression;support vector machine;
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