A PAC-Bayes Sample-compression Approach to Kernel Methods

Pascal Germain, Alexandre Lacoste, Mario Marchand, Sara Shanian, Fran ois Laviolette · 2011

We propose a PAC-Bayes sample compression approach to kernel methods that can accommodate any bounded similarity function and show that the support vector machine (SVM) classifier is a particular case of a more general class of data-dependent classifiers known as majority votes of samplecompressed classifiers. We provide novel risk bounds for these majority votes and learning algorithms that minimize these bounds. 1.

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