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ICALP
2000
Springer
14 years 2 months ago
Average Bit-Complexity of Euclidean Algorithms
Abstract. We obtain new results regarding the precise average bitcomplexity of five algorithms of a broad Euclidean type. We develop a general framework for analysis of algorithms,...
Ali Akhavi, Brigitte Vallée
CVPR
2012
IEEE
12 years 1 months ago
Group action induced distances for averaging and clustering Linear Dynamical Systems with applications to the analysis of dynami
We introduce a framework for defining a distance on the (non-Euclidean) space of Linear Dynamical Systems (LDSs). The proposed distance is induced by the action of the group of o...
Bijan Afsari, Rizwan Chaudhry, Avinash Ravichandra...
APPROX
2007
Springer
112views Algorithms» more  APPROX 2007»
14 years 5 months ago
On Approximating the Average Distance Between Points
Abstract. We consider the problem of approximating the average distance between pairs of points in a high-dimensional Euclidean space, and more generally in any metric space. We co...
Kfir Barhum, Oded Goldreich, Adi Shraibman
ANTS
1998
Springer
120views Algorithms» more  ANTS 1998»
14 years 3 months ago
The Complete Analysis of the Binary Euclidean Algorithm
Abstract. We provide here a complete average
Brigitte Vallée
ALGORITHMICA
1998
90views more  ALGORITHMICA 1998»
13 years 10 months ago
Dynamics of the Binary Euclidean Algorithm: Functional Analysis and Operators
We provide here a complete average-case analysis of the binary continued fraction representation of a random rational whose numerator and denominator are odd and less than N. We an...
Brigitte Vallée