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» Dimension Characterizations of Complexity Classes
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COLT
2000
Springer
13 years 11 months ago
The Role of Critical Sets in Vapnik-Chervonenkis Theory
In the present paper, we present the theoretical basis, as well as an empirical validation, of a protocol designed to obtain effective VC dimension estimations in the case of a si...
Nicolas Vayatis
JLP
2010
96views more  JLP 2010»
13 years 5 months ago
Implicit characterizations of FPTIME and NC revisited
Various simplified or improved, and partly corrected well-known implicit characterizations of the complexity classes FPTIME and NC are presented. Primarily, the interest is in si...
Karl-Heinz Niggl, Henning Wunderlich
FOCS
1997
IEEE
13 years 11 months ago
Randomized and Deterministic Algorithms for the Dimension of Algebraic Varieties
We prove old and new results on the complexity of computing the dimension of algebraic varieties. In particular, we show that this problem is NP-complete in the Blum-Shub-Smale mo...
Pascal Koiran
ATAL
2010
Springer
13 years 8 months ago
Pure Nash equilibria: complete characterization of hard and easy graphical games
We consider the computational complexity of pure Nash equilibria in graphical games. It is known that the problem is NP-complete in general, but tractable (i.e., in P) for special...
Albert Xin Jiang, MohammadAli Safari
FFA
2008
93views more  FFA 2008»
13 years 7 months ago
A new class of monomial bent functions
We study the Boolean functions f :F2n F2, n = 6r, of the form f (x) = Tr(xd) with d = 22r + 2r + 1 and F2n . Our main result is the characterization of those for which f are b...
Anne Canteaut, Pascale Charpin, Gohar M. M. Kyureg...