On the intrinsic complexity of learning recursive functions
Jain, S. Kinber, E. Papazian, C. Smith, C. Wiehagen, R.
Kinber, E.
Papazian, C.
Smith, C.
Wiehagen, R.
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Abstract
The intrinsic complexity of learning compares the difficulty of learning classes of objects by using some reducibility notion. For several types of learning recursive functions, both natural complete classes are exhibited and necessary and sufficient conditions for completeness are derived. Informally, a class is complete if both its topological structure is highly complex while its algorithmic structure is easy. Some self-describing classes turn out to be complete. Furthermore, the structure of the intrinsic complexity is shown to be much richer than the structure of the mind change complexity, though in general, intrinsic complexity and mind change complexity can behave "orthogonally".
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Source Title
Information and Computation
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Date
2003
DOI
10.1016/S0890-5401(03)00059-2
Type
Article