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» Introduction to Randomized Algorithms
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CIE
2010
Springer
15 years 7 months ago
How Powerful Are Integer-Valued Martingales?
In the theory of algorithmic randomness, one of the central notions is that of computable randomness. An infinite binary sequence X is computably random if no recursive martingale...
Laurent Bienvenu, Frank Stephan, Jason Teutsch
AAIM
2006
Springer
143views Algorithms» more  AAIM 2006»
15 years 9 months ago
A Compression-Boosting Transform for Two-Dimensional Data
We introduce a novel invertible transform for two-dimensional data which has the objective of reordering the matrix so it will improve its (lossless) compression at later stages. T...
Qiaofeng Yang, Stefano Lonardi, Avraham Melkman
APPROX
1998
Springer
150views Algorithms» more  APPROX 1998»
15 years 8 months ago
Approximating Circular Arc Colouring and Bandwidth Allocation in All-Optical Ring Networks
We present randomized approximation algorithms for the circular arc graph colouring problem and for the problem of bandwidth allocation in all-optical ring networks. We obtain a fa...
Vijay Kumar
110
Voted
FOCS
2004
IEEE
15 years 7 months ago
Testing Low-Degree Polynomials over Prime Fields
We present an efficient randomized algorithm to test if a given function f : Fn p Fp (where p is a prime) is a low-degree polynomial. This gives a local test for Generalized Reed...
Charanjit S. Jutla, Anindya C. Patthak, Atri Rudra...
172
Voted
ESANN
2004
15 years 5 months ago
Robust overcomplete matrix recovery for sparse sources using a generalized Hough transform
We propose an algorithm for recovering the matrix A in X = AS where X is a random vector of lower dimension than S. S is assumed to be sparse in the sense that S has less nonzero e...
Fabian J. Theis, Pando G. Georgiev, Andrzej Cichoc...