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CS559 Machine Learning Support Vector Machine

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CS559 Machine Learning Support Vector Machine CS559 Machine Learning Support Vector Machine Tian Han Department of Computer Science Stevens Institute of Technology Linear classi ers construct ... linear decision boundaries(hyperplanes) that try to separate the data into di erent classes as well as possible. Consider any two points x1; x2, lying on hyperplane L: wT x1 + b = 0 wT x2 + b = 0 ! w>(x1 ? x2) = 0  Since w>(x1 ? x2) = w  (x1 ? x2) = 0, the two vectors w and x1 ? x2 are orthogonal vectors. w = w jjwjj is the vector normal to the surface of L.  Note 1: All vectors here are column vectors. [Show More]

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