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CAP
2010
14 years 9 months ago
Parallel computation of the minimal elements of a poset
Computing the minimal elements of a partially ordered finite set (poset) is a fundamental problem in combinatorics with numerous applications such as polynomial expression optimiz...
Charles E. Leiserson, Marc Moreno Maza, Liyun Li, ...
IACR
2011
124views more  IACR 2011»
14 years 2 months ago
Group Law Computations on Jacobians of Hyperelliptic Curves
We derive an explicit method of computing the composition step in Cantor’s algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the g...
Craig Costello, Kristin Lauter
145
Voted
ICASSP
2011
IEEE
14 years 6 months ago
Global convergence of independent component analysis based on semidefinite programming relaxation
In the independent component analysis, polynomial functions of higher order statistics are often used as cost functions. However, such cost functions usually have many local minim...
Shotaro Akaho, Jun Fujiki
IFSA
2007
Springer
149views Fuzzy Logic» more  IFSA 2007»
15 years 8 months ago
From Interval Computations to Constraint-Related Set Computations: Towards Faster Estimation of Statistics and ODEs Under Interv
One of the important components of granular computing is interval computations. In interval computations, at each intermediate stage of the computation, we have intervals of possi...
Martine Ceberio, Vladik Kreinovich, Andrzej Pownuk...
CDC
2009
IEEE
168views Control Systems» more  CDC 2009»
15 years 7 months ago
Balanced state-space representations: a polynomial algebraic approach
Abstract— We show how to compute a minimal Riccatibalanced state map and a minimal Riccati-balanced state space representation starting from an image representation of a strictly...
Paolo Rapisarda, Harry L. Trentelman