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» Computing with abstract matrix structures
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FOCS
1992
IEEE
15 years 1 months ago
Witnesses for Boolean Matrix Multiplication and for Shortest Paths
Abstract Summary of results The subcubic (O(n ) for < 3) algorithms to multiply Boolean matrices do not provide the witnesses; namely, they compute C = AB but if Cij = 1 they d...
Noga Alon, Zvi Galil, Oded Margalit, Moni Naor
ICVS
2003
Springer
15 years 2 months ago
A Spectral Approach to Learning Structural Variations in Graphs
This paper shows how to construct a linear deformable model for graph structure by performing principal components analysis (PCA) on the vectorised adjacency matrix. We commence b...
Bin Luo, Richard C. Wilson, Edwin R. Hancock
CORR
2008
Springer
129views Education» more  CORR 2008»
14 years 9 months ago
Polynomial Linear Programming with Gaussian Belief Propagation
Abstract--Interior-point methods are state-of-the-art algorithms for solving linear programming (LP) problems with polynomial complexity. Specifically, the Karmarkar algorithm typi...
Danny Bickson, Yoav Tock, Ori Shental, Danny Dolev
CGF
2010
181views more  CGF 2010»
14 years 8 months ago
Matrix Trees
Recent advances in GPU programmability and architecture have allowed for the generation of ray casted or ray traced images at interactive rates. How quickly these images can be ge...
Nathan Andrysco, Xavier Tricoche
MFCS
2007
Springer
15 years 3 months ago
Reachability Problems in Quaternion Matrix and Rotation Semigroups
Abstract. We examine computational problems on quaternion matrix and rotation semigroups. It is shown that in the ultimate case of quaternion matrices, in which multiplication is s...
Paul Bell, Igor Potapov