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» Third-Order Computation and Bounded Arithmetic
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COMPGEOM
1992
ACM
13 years 11 months ago
A Subexponential Bound for Linear Programming
We present a simple randomized algorithm which solves linear programs with n constraints and d variables in expected minfO(d 22dn); e 2 pdln(n= p d)+O( p d+lnn)g time in the unit ...
Jirí Matousek, Micha Sharir, Emo Welzl
LATIN
2004
Springer
14 years 25 days ago
Approximating the Expressive Power of Logics in Finite Models
Abstract. We present a probability logic (essentially a first order language extended with quantifiers that count the fraction of elements in a model that satisfy a first order ...
Argimiro Arratia, Carlos E. Ortiz
TC
2011
13 years 2 months ago
Exact and Approximated Error of the FMA
Abstract—The fused multiply accumulate-add (FMA) instruction, specified by the IEEE 754-2008 Standard for Floating-Point Arithmetic, eases some calculations, and is already avai...
Sylvie Boldo, Jean-Michel Muller
PAIRING
2010
Springer
153views Cryptology» more  PAIRING 2010»
13 years 5 months ago
Compact Hardware for Computing the Tate Pairing over 128-Bit-Security Supersingular Curves
This paper presents a novel method for designing compact yet efficient hardware implementations of the Tate pairing over supersingular curves in small characteristic. Since such cu...
Nicolas Estibals
COLT
1993
Springer
13 years 11 months ago
Bounding the Vapnik-Chervonenkis Dimension of Concept Classes Parameterized by Real Numbers
The Vapnik-Chervonenkis (V-C) dimension is an important combinatorial tool in the analysis of learning problems in the PAC framework. For polynomial learnability, we seek upper bou...
Paul W. Goldberg, Mark Jerrum