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. |
Kirjan sisältä
Tulokset 1 - 5 kokonaismäärästä 57
Sivu vi
... Kernel Ridge Regression 118 6.2.3 Gaussian Processes 120 6.3 Discussion 121 6.4 Exercises 121 6.5 Further Reading and Advanced Topics 122 7 Implementation Techniques 125 7.1 General Issues 125 7.2 The Naive Solution: Gradient Ascent ...
... Kernel Ridge Regression 118 6.2.3 Gaussian Processes 120 6.3 Discussion 121 6.4 Exercises 121 6.5 Further Reading and Advanced Topics 122 7 Implementation Techniques 125 7.1 General Issues 125 7.2 The Naive Solution: Gradient Ascent ...
Sivu 1
We will refer to this approach to problem solving as the learning methodology The same reasoning applies to the problem ... When computers are applied to solve a practical problem it is usually the case that the method of deriving the ...
We will refer to this approach to problem solving as the learning methodology The same reasoning applies to the problem ... When computers are applied to solve a practical problem it is usually the case that the method of deriving the ...
Sivu 2
As computers are applied to solve more complex problems, however, situations can arise in which there is no known method ... These tasks cannot be solved by a traditional programming approach since the system designer cannot precisely ...
As computers are applied to solve more complex problems, however, situations can arise in which there is no known method ... These tasks cannot be solved by a traditional programming approach since the system designer cannot precisely ...
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 6
Firstly, the range of applications that can potentially be solved by such an approach is very large. Secondly, it appears that we can also avoid much of the laborious design and programming inherent in the traditional solution ...
Firstly, the range of applications that can potentially be solved by such an approach is very large. Secondly, it appears that we can also avoid much of the laborious design and programming inherent in the traditional solution ...
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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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Yleiset termit ja lausekkeet
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
Kirjaluettelon tiedot
| Otsikko | An Introduction to Support Vector Machines and Other Kernel-based Learning Methods |
| Kirjailijat | Nello Cristianini, John Shawe-Taylor |
| Kustantaja | Cambridge University Press, 2000 |
| ISBN | 1139643630, 9781139643634 |
| Vie sitaatti | BiBTeX EndNote RefMan |