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Neural Networks and Computational Learning Theory

 

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NeuroCOLT Technical Report NC-TR-98-016

Multiplicative Updatings for Support-Vector Learning

Nello Cristianini & Colin Campbell
Dept. of Engineering Mathematics
Bristol

John Shawe-Taylor
Dept. of Computer Science
RHUL

Keywords: perceptron, decision tree, maximal margin

Received: 04-JUN-98


Abstract
Support Vector machines find maximal margin hyperplanes in a high dimensional feature space.  Theoretical results exist which guarantee a high generalization performance when the margin is large or when the number of support vectors is small. Multiplicative-Updating algorithms are a new tool for perceptron learning whose theoretical properties are well studied. In this work we present a Multiplicative-Updating algorithm for learning Support Vector machines which exploits the particular structure of high-generalization hypotheses, by achieving fast rate of convergence just in those situations where high generalization can be obtained, namely small number of support vectors or large margin.

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