Title
Intrinsic Complexity of Learning Geometrical Concepts from Positive Data
Abstract
Intrinsic complexity is used to measure the complexity of learning areas limited by broken-straight lines (called open semi-hulls) and intersections of such areas. Any strategy learning such geometrical concepts can be viewed as a sequence of primitive basic strategies. Thus, the length of such a sequence together with the complexities of the primitive strategies used can be regarded as the complexity of learning the concepts in question. We obtained the best possible lower and upper bounds on learning open semi-hulls, as well as matching upper and lower bounds on the complexity of learning intersections of such areas. Surprisingly, upper bounds in both cases turn out to be much lower than those provided by natural learning strategies. Another surprising result is that learning intersections of open semi- hulls turns out to be easier than learning open semi-hulls themselves.
Year
DOI
Venue
2001
10.1007/3-540-44581-1_12
Computational Learning Theory
Keywords
Field
DocType
primitive strategy,broken-straight line,primitive basic strategy,learning geometrical concepts,lower bound,geometrical concept,upper bound,open semi-hulls,intrinsic complexity,natural learning strategy,surprising result,positive data,upper and lower bounds
Inductive reasoning,Algorithmic learning theory,Instance-based learning,Upper and lower bounds,Computer science,Language acquisition,Artificial intelligence,Computational learning theory,Information complexity,Machine learning,Instrumental and intrinsic value
Conference
Volume
Issue
ISSN
67
3
0022-0000
ISBN
Citations 
PageRank 
3-540-42343-5
1
0.35
References 
Authors
32
2
Name
Order
Citations
PageRank
Sanjay Jain11647177.87
Efim Kinber242144.95