Machine Learning (Theory)

4/14/2005

Families of Learning Theory Statements

Tags: Organization jl@ 4:41 pm

The diagram above shows a very broad viewpoint of learning theory.

arrow Typical statement Examples
Past->Past Some prediction algorithm A does almost as well as any of a set of algorithms. Weighted Majority
Past->Future Assuming independent samples, past performance predicts future performance. PAC analysis, ERM analysis
Future->Future Future prediction performance on subproblems implies future prediction performance using algorithm A. ECOC, Probing

A basic question is: Are there other varieties of statements of this type? Avrim noted that there are also “arrows between arrows”: generic methods for transforming between Past->Past statements and Past->Future statements. Are there others?

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