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ICALP
2000
Springer
15 years 10 months ago
Average Bit-Complexity of Euclidean Algorithms
Abstract. We obtain new results regarding the precise average bitcomplexity of five algorithms of a broad Euclidean type. We develop a general framework for analysis of algorithms,...
Ali Akhavi, Brigitte Vallée
CORR
2008
Springer
128views Education» more  CORR 2008»
15 years 6 months ago
A Quantifier Elimination Algorithm for Linear Real Arithmetic
We propose a new quantifier elimination algorithm for the theory of linear real arithmetic. This algorithm uses as subroutines satisfiability modulo this theory and polyhedral pro...
David Monniaux
LICS
2003
IEEE
15 years 11 months ago
Polynomial-time Algorithms from Ineffective Proofs
We present a constructive procedure for extracting polynomial-time realizers from ineffective proofs of Π0 2theorems in feasible analysis. By ineffective proof we mean a proof wh...
Paulo Oliva
CLUSTER
2009
IEEE
15 years 11 months ago
Numerically stable, single-pass, parallel statistics algorithms
—Statistical analysis is widely used for countless scientific applications in order to analyze and infer meaning from data. A key challenge of any statistical analysis package a...
Janine Bennett, R. Grout, Philippe P. Pébay...
TALG
2010
101views more  TALG 2010»
15 years 4 months ago
Reasoning about online algorithms with weighted automata
We describe an automata-theoretic approach for the competitive analysis of online algorithms. Our approach is based on weighted automata, which assign to each input word a cost in...
Benjamin Aminof, Orna Kupferman, Robby Lampert