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EUROCRYPT
2000
Springer
14 years 3 days ago
Efficient Algorithms for Solving Overdefined Systems of Multivariate Polynomial Equations
The security of many recently proposed cryptosystems is based on the difficulty of solving large systems of quadratic multivariate polynomial equations. This problem is NP-hard ove...
Nicolas Courtois, Alexander Klimov, Jacques Patari...
ADCM
2000
71views more  ADCM 2000»
13 years 8 months ago
Construction of multivariate biorthogonal wavelets with arbitrary vanishing moments
We present a concrete method to build discrete biorthogonal systems such that the wavelet filters have any number of vanishing moments. Several algorithms are proposed to construct...
Di-Rong Chen, Bin Han 0003, Sherman D. Riemenschne...
ADCM
2004
58views more  ADCM 2004»
13 years 8 months ago
Classification of Bivariate Configurations with Simple Lagrange Interpolation Formulae
In 1977 Chung and Yao introduced a geometric characterization in multivariate interpolation in order to identify distributions of points such that the Lagrange functions are produc...
Jesús M. Carnicer, Mariano Gasca
CSDA
2004
119views more  CSDA 2004»
13 years 8 months ago
Bounded optimal knots for regression splines
Using a B-spline representation for splines with knots seen as free variables, the approximation to data by splines improves greatly. The main limitations are the presence of too ...
Nicolas Molinari, Jean-François Durand, Rob...
ICML
2004
IEEE
14 years 9 months ago
Automated hierarchical mixtures of probabilistic principal component analyzers
Many clustering algorithms fail when dealing with high dimensional data. Principal component analysis (PCA) is a popular dimensionality reduction algorithm. However, it assumes a ...
Ting Su, Jennifer G. Dy