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COCO
2001
Springer
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14 years 5 months ago
Hausdorff Dimension in Exponential Time
In this paper we investigate effective versions of Hausdorff dimension which have been recently introduced by Lutz. We focus on dimension in the class E of sets computable in line...
Klaus Ambos-Spies, Wolfgang Merkle, Jan Reimann, F...
ICALP
2003
Springer
14 years 5 months ago
Scaled Dimension and Nonuniform Complexity
Resource-bounded dimension is a complexity-theoretic extension of classical Hausdorff dimension introduced by Lutz (2000) in order to investigate the fractal structure of sets th...
John M. Hitchcock, Jack H. Lutz, Elvira Mayordomo
COCOON
2007
Springer
14 years 6 months ago
Dimension, Halfspaces, and the Density of Hard Sets
We use the connection between resource-bounded dimension and the online mistake-bound model of learning to show that the following classes have polynomial-time dimension zero.
Ryan C. Harkins, John M. Hitchcock