NeuroCOLT

Neural Networks and Computational Learning Theory

 

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NeuroCOLT Technical Report NC-TR-97-017

Learning Monotone Term Decision Lists

David Guijarro, Victor Lavin
Universitat Politecnica de Catalunya
Spain

Vijay Raghavan
Vanderbilt University
USA

Abstract
We study the learnability of monotone term decision lists in the exact model of equivalence and membership queries. We show that, for any constant $k \ge 0$, $k$-term monotone decision lists are exactly and properly learnable with $n^{O(k)}$ membership queries in O($n^{k^3}$) time. We also show $n^{\Omega (k)}$ membership queries are necessary for exact learning. In contrast, both $k$-term monotone decision lists ($k \ge 2$) and general monotone decision lists are not learnable with equivalence queries alone.

 

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