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SODA
1992
ACM
90views Algorithms» more  SODA 1992»
13 years 6 months ago
Self-Testing Polynomial Functions Efficiently and Over Rational Domains
In this paper we give the first self-testers and checkers for polynomials over rational and integer domains. We also show significantly stronger bounds on the efficiency of a simp...
Ronitt Rubinfeld, Madhu Sudan
STOC
1991
ACM
84views Algorithms» more  STOC 1991»
13 years 8 months ago
Self-Testing/Correcting for Polynomials and for Approximate Functions
The study of self-testing/correcting programs was introduced in [8] in order to allow one to use program P to compute function f without trusting that P works correctly. A self-te...
Peter Gemmell, Richard J. Lipton, Ronitt Rubinfeld...
STACS
2000
Springer
13 years 8 months ago
Multi-linearity Self-Testing with Relative Error
We investigate self-testing programs with relative error by allowing error terms proportional to the function to be computed. Until now, in numerical computation, error terms were ...
Frédéric Magniez
ASAP
2008
IEEE
199views Hardware» more  ASAP 2008»
13 years 6 months ago
An efficient method for evaluating polynomial and rational function approximations
In this paper we extend the domain of applicability of the E-method [7, 8], as a hardware-oriented method for evaluating elementary functions using polynomial and rational functio...
Nicolas Brisebarre, Sylvain Chevillard, Milos D. E...
CORR
2004
Springer
85views Education» more  CORR 2004»
13 years 4 months ago
A correct, precise and efficient integration of set-sharing, freeness and linearity for the analysis of finite and rational tree
It is well-known that freeness and linearity information positively interact with aliasing information, allowing both the precision and the efficiency of the sharing analysis of l...
Patricia M. Hill, Enea Zaffanella, Roberto Bagnara