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» Computing Sparse Multiples of Polynomials
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CVPR
2004
IEEE
14 years 9 months ago
A New GPCA Algorithm for Clustering Subspaces by Fitting, Differentiating and Dividing Polynomials
We consider the problem of clustering data lying on multiple subspaces of unknown and possibly different dimensions. We show that one can represent the subspaces with a set of pol...
Jacopo Piazzi, René Vidal, Yi Ma
NA
2010
153views more  NA 2010»
13 years 6 months ago
Verified error bounds for multiple roots of systems of nonlinear equations
It is well known that it is an ill-posed problem to decide whether a function has a multiple root. Even for a univariate polynomial an arbitrary small perturbation of a polynomial ...
Siegfried M. Rump, Stef Graillat
ICISC
2004
108views Cryptology» more  ICISC 2004»
13 years 9 months ago
Generating Prime Order Elliptic Curves: Difficulties and Efficiency Considerations
We consider the generation of prime order elliptic curves (ECs) over a prime field Fp using the Complex Multiplication (CM) method. A crucial step of this method is to compute the ...
Elisavet Konstantinou, Aristides Kontogeorgis, Yan...
DIS
2000
Springer
14 years 2 days ago
Combination Retrieval for Creating Knowledge from Sparse Document Collection
With the variety of human life, people are interested in various matters for each one’s unique reason, for which a machine maybe a better counselor than a human. This paper prop...
Naohiro Matsumura, Yukio Ohsawa
CIE
2010
Springer
14 years 16 days ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov