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Kernel Methods Barnabás Póczos 2 Outline • Quick Introduction • Feature space • Perceptron in the feature space • Kernels • Mercer’s theorem • Finite domain • Arbitrary domain • Kernel families • Constructing new kernels from kernels • Constructing feature maps from kernels • Reproducing Kernel Hilbert Spaces (RKHS) • The Representer Theorem 3 Ralf Herbrich: Learning Kernel Classifiers Chapter 2 Q

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Kernel Methods