An Introduction to Support Vector Machines and Other Kernel-based Learning MethodsThis is the first comprehensive introduction to Support Vector Machines (SVMs), a generation learning system based on recent advances in statistical learning theory. SVMs deliver state-of-the-art performance in real-world applications such as text categorisation, hand-written character recognition, image classification, biosequences analysis, etc., and are now established as one of the standard tools for machine learning and data mining. Students will find the book both stimulating and accessible, while practitioners will be guided smoothly through the material required for a good grasp of the theory and its applications. The concepts are introduced gradually in accessible and self-contained stages, while the presentation is rigorous and thorough. Pointers to relevant literature and web sites containing software ensure that it forms an ideal starting point for further study. Equally, the book and its associated web site will guide practitioners to updated literature, new applications, and on-line software. |
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He is currently the co-ordinator of a European funded collaboration of sixteen universities involved in research on Neural and Computational Learning. An Introduction to Support Vector Machines and other kernel-based learning.
He is currently the co-ordinator of a European funded collaboration of sixteen universities involved in research on Neural and Computational Learning. An Introduction to Support Vector Machines and other kernel-based learning.
Sivu 2
As computers are applied to solve more complex problems, however, situations can arise in which there is no known method for computing the desired output from a set of inputs, or where that computation may be very expensive.
As computers are applied to solve more complex problems, however, situations can arise in which there is no known method for computing the desired output from a set of inputs, or where that computation may be very expensive.
Sivu 5
The fact that the algorithm design is based on a statistical result does not mean that we ignore the computational complexity of solving the particular optimisation problem. We are interested in techniques that will scale from toy ...
The fact that the algorithm design is based on a statistical result does not mean that we ignore the computational complexity of solving the particular optimisation problem. We are interested in techniques that will scale from toy ...
Sivu 17
One could envisage an adaptation of the perceptron algorithm that would include these additional coordinates, though the value of A would have to either be a parameter or be estimated as part of the computation. Remark 2.9 Since D can ...
One could envisage an adaptation of the perceptron algorithm that would include these additional coordinates, though the value of A would have to either be a parameter or be estimated as part of the computation. Remark 2.9 Since D can ...
Sivu 25
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Sisältö
1 | |
9 | |
KernelInduced Feature Spaces | 26 |
Generalisation Theory | 52 |
Optimisation Theory | 79 |
Support Vector Machines | 93 |
Implementation Techniques | 125 |
Applications of Support Vector Machines | 149 |
A Pseudocode for the SMO Algorithm | 162 |
References | 173 |
Index | 187 |
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1-norm soft margin algorithm analysis applied approach Bayesian bias bound Chapter choice classification computational consider constraints convergence convex corresponding datasets Definition described dual problem dual representation fat-shattering dimension feasibility gap feature mapping feature space finite Gaussian processes generalisation error geometric margin given Hence heuristics high dimensional Hilbert space hyperplane hypothesis inequality inner product space input space introduced iterative Karush-Kuhn-Tucker kernel function kernel matrix Lagrange multipliers Lagrangian learning algorithm linear functions linear learning machines loss function machine learning margin distribution margin slack vector maximal margin hyperplane maximise minimise norm objective function obtained on-line optimisation problem parameters perceptron perceptron algorithm performance positive semi-definite primal and dual quantity random examples real-valued function Remark result ridge regression Section sequence slack variables soft margin optimisation solution solve subset Support Vector Machines SVMs techniques Theorem training data training examples training points training set update Vapnik VC dimension weight vector zero