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» Third-Order Computation and Bounded Arithmetic
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COMPGEOM
1992
ACM
15 years 1 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
15 years 2 months 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
89
Voted
TC
2011
14 years 4 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
76
Voted
PAIRING
2010
Springer
153views Cryptology» more  PAIRING 2010»
14 years 7 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
15 years 1 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