NeuroCOLT

Neural Networks and Computational Learning Theory

 

About NeuroCOLT

Papers Archive

1994 1995
1996 1997
1998 1999
2000 2001

Books

info@neurocolt.org

NeuroCOLT Technical Report NC-TR-97-015

Exact Learning of subclasses of CDNF formulas with membership queries

Carlos Domingo
Universitat Politècnica de Catalunya
Spain

Abstract
We consider the exact learnability of subclasses of Boolean formulas from membership queries alone. We show how to combine known learning algorithms that use membership and equivalence queries to obtain new learning results only with memberships. In particular we show the exact learnability of read-$k$ monotone CDNF formulas, Sat-$k$ ${\cal O}(\log n)$-CDNF, and ${\cal O}(\sqrt{\log n})\mbox{-size CDNF}$ from membership queries only.

Download Compressed Postscript