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» Dimension Characterizations of Complexity Classes
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TNN
2008
102views more  TNN 2008»
13 years 7 months ago
A Class of Complex ICA Algorithms Based on the Kurtosis Cost Function
In this paper, we introduce a novel way of performing real-valued optimization in the complex domain. This framework enables a direct complex optimization technique when the cost f...
Hualiang Li, Tülay Adali
COCO
2001
Springer
122views Algorithms» more  COCO 2001»
13 years 11 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...
CSL
2007
Springer
14 years 1 months ago
Relativizing Small Complexity Classes and Their Theories
Existing definitions of the relativizations of NC1 , L and NL do not preserve the inclusions NC1 ⊆ L, NL ⊆ AC1 . We start by giving the first definitions that preserve them....
Klaus Aehlig, Stephen Cook, Phuong Nguyen
IANDC
2008
74views more  IANDC 2008»
13 years 7 months ago
Baire categories on small complexity classes and meager-comeager laws
We introduce two resource-bounded Baire category notions on small complexity classes such as P, QUASIPOLY, SUBEXP and PSPACE and on probabilistic classes such as BPP, which differ...
Philippe Moser
DM
2007
101views more  DM 2007»
13 years 7 months ago
Threshold graphs, shifted complexes, and graphical complexes
We consider a variety of connections between threshold graphs, shifted complexes, and simplicial complexes naturally formed from a graph. These graphical complexes include the inde...
Caroline J. Klivans