12.07.2015 Views

Supervised Learning: SVMs

Supervised Learning: SVMs

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R[f] ≤ R emp [f] +!1!m!h!2m!ln! + 1!h!4!+ ln!δ!


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O O O O O O O O O O X X O X X X O O O O X O O O O OImage from http://www.atrandomresearch.com/iclass/!


x 2 !X x 12 !X X X X X O O O O X X x 1 !O O O O x 1 !


Image from http://web.engr.oregonstate.edu/!~afern/classes/cs534/!


“Given an algorithm which isformulated in terms of a positivedefinite kernel K 1 , one can constructan alternative algorithm by replacingK 1 with another positive definitekernel K 2 ”! <strong>SVMs</strong> can use the kernel trick!


XThese are kernels!!So by the kernel trick,!we just replace them!!X

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