Open Access
Support vector learning
Bernhard Schölkopf
- 01 Jan 1997
669
TL;DR: This book provides a comprehensive analysis of what can be done using Support vector Machines, achieving record results in real-life pattern recognition problems, and proposes a new form of nonlinear Principal Component Analysis using Support Vector kernel techniques, which it is considered as the most natural and elegant way for generalization of classical Principal Component analysis.
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Abstract: Foreword The Support Vector Machine has recently been introduced as a new technique for solving various function estimation problems, including the pattern recognition problem. To develop such a technique, it was necessary to rst extract factors responsible for future generalization, to obtain bounds on generalization that depend on these factors, and lastly to develop a technique that constructively minimizes these bounds. The subject of this book are methods based on combining advanced branches of statistics and functional analysis, developing these theories into practical algorithms that perform better than existing heuristic approaches. The book provides a comprehensive analysis of what can be done using Support Vector Machines, achieving record results in real-life pattern recognition problems. In addition, it proposes a new form of nonlinear Principal Component Analysis using Support Vector kernel techniques, which I consider as the most natural and elegant way for generalization of classical Principal Component Analysis. In many ways the Support Vector machine became so popular thanks to works of Bernhard Schh olkopf. The work, submitted for the title of Doktor der Naturwis-senschaften, appears as excellent. It is a substantial contribution to Machine Learning technology.
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Citations
A Tutorial on Support Vector Machines for Pattern Recognition
TL;DR: There are several arguments which support the observed high accuracy of SVMs, which are reviewed and numerous examples and proofs of most of the key theorems are given.
A tutorial on support vector regression
TL;DR: This tutorial gives an overview of the basic ideas underlying Support Vector (SV) machines for function estimation, and includes a summary of currently used algorithms for training SV machines, covering both the quadratic programming part and advanced methods for dealing with large datasets.
Statistical pattern recognition: a review
TL;DR: The objective of this review paper is to summarize and compare some of the well-known methods used in various stages of a pattern recognition system and identify research topics and applications which are at the forefront of this exciting and challenging field.
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References
Statistical learning theory
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Learning representations by back-propagating errors
TL;DR: Back-propagation repeatedly adjusts the weights of the connections in the network so as to minimize a measure of the difference between the actual output vector of the net and the desired output vector, which helps to represent important features of the task domain.
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Matrix analysis: Frontmatter
Roger A. Horn,Charles R. Johnson +1 more
- 01 Jan 1985
TL;DR: This book presents results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrates their importance in a variety of applications.
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Neural Networks for Pattern Recognition
Suresh Kothari,Heekuck Oh +1 more
TL;DR: The chapter discusses two important directions of research to improve learning algorithms: the dynamic node generation, which is used by the cascade correlation algorithm; and designing learning algorithms where the choice of parameters is not an issue.
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