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EUROCRYPT
2004
Springer
15 years 3 months ago
Finding Small Roots of Bivariate Integer Polynomial Equations Revisited
At Eurocrypt ’96, Coppersmith proposed an algorithm for finding small roots of bivariate integer polynomial equations, based on lattice reduction techniques. But the approach is...
Jean-Sébastien Coron
COCO
2005
Springer
123views Algorithms» more  COCO 2005»
15 years 3 months ago
If NP Languages are Hard on the Worst-Case Then It is Easy to Find Their Hard Instances
We prove that if NP ⊆ BPP, i.e., if SAT is worst-case hard, then for every probabilistic polynomial-time algorithm trying to decide SAT, there exists some polynomially samplable ...
Dan Gutfreund, Ronen Shaltiel, Amnon Ta-Shma
KAIS
2000
86views more  KAIS 2000»
14 years 9 months ago
A Mathematical Foundation for Improved Reduct Generation in Information Systems
When data sets are analyzed, statistical pattern recognition is often used to find the information hidden in the data. Another approach to information discovery is data mining. Dat...
Janusz A. Starzyk, Dale E. Nelson, Kirk Sturtz
FASE
2009
Springer
15 years 4 months ago
Finding Loop Invariants for Programs over Arrays Using a Theorem Prover
Abstract. We present a new method for automatic generation of loop invariants for programs containing arrays. Unlike all previously known methods, our method allows one to generate...
Laura Kovács, Andrei Voronkov
STOC
2007
ACM
94views Algorithms» more  STOC 2007»
15 years 10 months ago
Sampling-based dimension reduction for subspace approximation
We give a randomized bi-criteria algorithm for the problem of finding a k-dimensional subspace that minimizes the Lp-error for given points, i.e., p-th root of the sum of p-th
Amit Deshpande, Kasturi R. Varadarajan