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COCO
2011
Springer
217views Algorithms» more  COCO 2011»
12 years 7 months ago
Noisy Interpolation of Sparse Polynomials, and Applications
Let f ∈ Fq[x] be a polynomial of degree d ≤ q/2. It is well-known that f can be uniquely recovered from its values at some 2d points even after some small fraction of the valu...
Shubhangi Saraf, Sergey Yekhanin
FOCM
2008
156views more  FOCM 2008»
13 years 7 months ago
Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis Pursuit
We investigate the problem of reconstructing sparse multivariate trigonometric polynomials from few randomly taken samples by Basis Pursuit and greedy algorithms such as Orthogona...
Stefan Kunis, Holger Rauhut
ICISC
2000
126views Cryptology» more  ICISC 2000»
13 years 9 months ago
Cryptographic Applications of Sparse Polynomials over Finite Rings
Abstract. This paper gives new examples that exploit the idea of using sparse polynomials with restricted coefficients over a finite ring for designing fast, reliable cryptosystems...
William D. Banks, Daniel Lieman, Igor Shparlinski,...
ISAAC
2010
Springer
233views Algorithms» more  ISAAC 2010»
13 years 5 months ago
Computing Sparse Multiples of Polynomials
We consider the problem of finding a sparse multiple of a polynomial. Given f F[x] of degree d, and a desired sparsity t, our goal is to determine if there exists a multiple h F[...
Mark Giesbrecht, Daniel S. Roche, Hrushikesh Tilak
GECCO
2008
Springer
172views Optimization» more  GECCO 2008»
13 years 8 months ago
Recursive least squares and quadratic prediction in continuous multistep problems
XCS with computed prediction, namely XCSF, has been recently extended in several ways. In particular, a novel prediction update algorithm based on recursive least squares and the ...
Daniele Loiacono, Pier Luca Lanzi