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On Exact Learning Halfspaces with Random Consistent Hypothesis Oracle
Author(s) -
Nader H. Bshouty,
Ehab Wattad
Publication year - 2006
Publication title -
lecture notes in computer science
Language(s) - English
Resource type - Book series
SCImago Journal Rank - 0.249
H-Index - 400
eISSN - 1611-3349
pISSN - 0302-9743
ISBN - 3-540-46649-5
DOI - 10.1007/11894841_8
Subject(s) - oracle , equivalence (formal languages) , random oracle , counterexample , computer science , constant (computer programming) , time complexity , algorithm , discrete mathematics , mathematics , programming language , encryption , public key cryptography , operating system
We study exact learning of halfspaces from equivalence queries. The algorithm uses an oracle RCH that returns a random consistent hypothesis to the counterexamples received from the equivalence query oracle. We use the RCH oracle to give a new polynomial time algorithm for exact learning halfspaces from majority of halfspaces and show that its query complexity is less (by some constant factor) than the best known algorithm that learns halfspaces from halfspaces.

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