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Learning quickly when irrelevant attributes abound: A new linear-threshold algorithm (1988)
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| Venue: | Machine Learning |
| Citations: | 771 - 5 self |
BibTeX
@INPROCEEDINGS{Littlestone88learningquickly,
author = {Nick Littlestone},
title = {Learning quickly when irrelevant attributes abound: A new linear-threshold algorithm},
booktitle = {Machine Learning},
year = {1988},
pages = {285--318}
}
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Abstract
learning Boolean functions, linear-threshold algorithms Abstract. Valiant (1984) and others have studied the problem of learning various classes of Boolean functions from examples. Here we discuss incremental learning of these functions. We consider a setting in which the learner responds to each example according to a current hypothesis. Then the learner updates the hypothesis, if necessary, based on the correct classification of the example. One natural measure of the quality of learning in this setting is the number of mistakes the learner makes. For suitable classes of functions, learning algorithms are available that make a bounded number of mistakes, with the bound independent of the number of examples seen by the learner. We present one such algorithm that learns disjunctive Boolean functions, along with variants for learning other classes of Boolean functions. The basic method can be expressed as a linear-threshold algorithm. A primary advantage of this algorithm is that the number of mistakes grows only logarithmically with the number of irrelevant attributes in the examples. At the same time, the algorithm is computationally efficient in both time and space. 1.
Keyphrases
irrelevant attribute new linear-threshold algorithm boolean function incremental learning natural measure basic method various class disjunctive boolean function mistake grows bounded number suitable class correct classification linear-threshold algorithm abstract primary advantage current hypothesis linear-threshold algorithm
