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CORR
2010
Springer
118views Education» more  CORR 2010»
13 years 8 months ago
alphaCertified: certifying solutions to polynomial systems
Smale's -theory uses estimates related to the convergence of Newton's method to give criteria implying that Newton iterations will converge quadratically to solutions to ...
Jonathan D. Hauenstein, Frank Sottile
EUROCRYPT
2012
Springer
11 years 11 months ago
Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields
Abstract. The goal of this paper is to further study the index calculus method that was first introduced by Semaev for solving the ECDLP and later developed by Gaudry and Diem. In...
Jean-Charles Faugère, Ludovic Perret, Chris...
CAP
2010
13 years 3 months ago
Polynomial homotopies on multicore workstations
Homotopy continuation methods to solve polynomial systems scale very well on parallel machines. In this paper we examine its parallel implementation on multiprocessor multicore wo...
Jan Verschelde, Genady Yoffe
JMLR
2008
110views more  JMLR 2008»
13 years 8 months ago
Cross-Validation Optimization for Large Scale Structured Classification Kernel Methods
We propose a highly efficient framework for penalized likelihood kernel methods applied to multiclass models with a large, structured set of classes. As opposed to many previous a...
Matthias W. Seeger
CDC
2008
IEEE
143views Control Systems» more  CDC 2008»
14 years 3 months ago
On the use of numerical methods for analysis and control of nonlinear convective systems
Abstract— A common approach to designing feedback controllers for nonlinear partial differential equations (PDEs) is to linearize the system about an equilibrium and use the line...
Edward Allen, John A. Burns, David S. Gilliam