Support Vector and Kernel Methods John Shawe-Taylor1 1 University of Southampton, School of Electronics and Computer Science, Southampton, SO17 1BJ, UK jst@ecs.soton.ac.uk Abstract The lectures will introduce the kernel methods approach to pattern analysis through the particular example of support vector machines for classification. The presentation touches on: generalization, optimization, dual representation, kernel design and algorithmic implementations. We then broaden the discussion to consider general kernel methods by introducing different kernels, different learning tasks, and subspace methods such as kernel PCA. The aim is to give a view of the subject that will enable a newcomer to the field to gain his bearings so that they can move to apply or develop the techniques for their particular application. References Cristianini Nello and Shawe-Taylor John, An Introduction to Support Vector Machines, Cambridge University Press, 2000. Shawe-Taylor John and Cristianini Nello, Kernel Methods for Pattern Analysis, Cambridge University Press, 2004. Keywords Support vector machines, kernel methods, statistical learning theory, margin, pattern analysis, generalization, kernel, string kernel, subspace methods, principle components analysis, ridge regression, support vectors