Encyclopedia of Machine Learning

2010 Edition
| Editors: Claude Sammut, Geoffrey I. Webb

Complexity of Inductive Inference

  • Sanjay Jain
  • Frank Stephan
Reference work entry
DOI: https://doi.org/10.1007/978-0-387-30164-8_149

Definition

In  inductive inference, the complexity of learning can be measured in various ways: by the number of hypotheses issued in the worst case until the correct hypothesis is found; by the number of data items to be consumed or to be memorized in order to learn in the worst case; by the Turing degree of oracles needed to learn the class under a certain criterion; by the intrinsic complexity which is – like the Turing degrees in recursion theory – a way to measure the complexity of classes by using reducibilities between them.

Detail

We refer the reader to the article  Inductive Inference for basic definitions in inductive inference and the notations used below. Let \(\mathbb{N}\)

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Recommended Reading

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Sanjay Jain
  • Frank Stephan

There are no affiliations available