Learning with Kernels: Support Vector Machines, Regularization, Optimization, and BeyondA comprehensive introduction to Support Vector Machines and related kernel methods. In the 1990s, a new type of learning algorithm was developed, based on results from statistical learning theory: the Support Vector Machine (SVM). This gave rise to a new class of theoretically elegant learning machines that use a central concept of SVMs---kernels--for a number of learning tasks. Kernel machines provide a modular framework that can be adapted to different tasks and domains by the choice of the kernel function and the base algorithm. They are replacing neural networks in a variety of fields, including engineering, information retrieval, and bioinformatics. Learning with Kernels provides an introduction to SVMs and related kernel methods. Although the book begins with the basics, it also includes the latest research. It provides all of the concepts necessary to enable a reader equipped with some basic mathematical knowledge to enter the world of machine learning using theoretically well-founded yet easy-to-use kernel algorithms and to understand and apply the powerful algorithms that have been developed over the last few years. |
From inside the book
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... Prior Knowledge 11.2 Transformation Invariance . 11.3 The Virtual SV Method 11.5 The Jittered SV Method 266 269 272 273 274 279 281 288 295 . 300 305 312 327 329 333 333 335 337 343 . 354 11.6 Summary . 356 11.7 Problems 12 Learning ...
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Contents
A Tutorial Introduction | 1 |
CONCEPTS AND TOOLS | 23 |
Risk and Loss Functions | 61 |
Regularization 88888 | 87 |
Elements of Statistical Learning Theory | 128 |
Optimization | 152 |
Maximum Search Problems | 179 |
SUPPORT VECTOR MACHINES | 204 |
KERNEL METHODS | 405 |
Kernel Feature Extraction | 427 |
Kernel Fisher Discriminant | 457 |
Bayesian Kernel Methods | 469 |
Regularized Principal Manifolds | 517 |
PreImages and Reduced Set Methods | 543 |
A Addenda | 569 |
B Mathematical Prerequisites | 575 |
Quantile Estimation and Novelty Detection | 227 |
Regression Estimation | 251 |
Implementation | 279 |
Incorporating Invariances | 333 |
Learning Theory Revisited | 359 |
591 | |
596 | |
617 | |
Notation and Symbols | 625 |