In the preface of the book, Cristianini and Shawe-Taylor state that their intention is to present an organic, integrated introduction to support vector machines (SVMs). The authors believe that SVMs are a topic now sufficiently mature that it should be viewed as its own subfield of machine learning. SVMs, first introduced by Vladimir Vapnik, are a type of linear learning machines much like the ...

An excavation damage zone (EDZ) can be defined as a rock zone where the rock properties and conditions have been changed due to the processes related to an excavation. This zone affects the behavior of rock mass surrounding the construction that reduces the stability and safety factor and increase probability of failure of the structure. This paper presents an approach to build a model for the ...

This document starts from simple probalistic inequalities (Markov’s Inequality) and builds up through several stronger concentration results, developing a few ideas about Rademacher complexity, until we give proofs of the main Vapnik-Chervonenkis complexity for learning theory. Many of these proofs are based on Peter Bartlett’s lectures for CS281b at Berkeley or Rob Schapire’s lectures at Princ...

We present an approach to defining Hilbert spaces of functions depending on infinitely many variables or parameters, with emphasis on a weighted tensor product construction based on stable space splittings. The construction has been used in an exemplary way for guiding dimensionand scale-adaptive algorithms in application areas such as statistical learning theory, reduced order modeling, and in...

ence exists between parametric and nonparametric statistical tests. Parametric tests are only valid if the data satisfy certain assumptions. If these assumptions hold, they will, however, typically give more accurate results. The analysis of statistical learning theory has very much the flavor of a nonparametric statistical test. Almost no The scientific method aims to derive mathematical model...