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» Group-theoretic Algorithms for Matrix Multiplication
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FOCS
1992
IEEE
14 years 16 days 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
ICDT
2009
ACM
129views Database» more  ICDT 2009»
14 years 9 months ago
Faster join-projects and sparse matrix multiplications
Computing an equi-join followed by a duplicate eliminating projection is conventionally done by performing the two operations in serial. If some join attribute is projected away t...
Rasmus Resen Amossen, Rasmus Pagh
ICPADS
2002
IEEE
14 years 1 months ago
Adaptive Matrix Multiplication in Heterogeneous Environments
In this paper, an adaptive matrix multiplication algorithm for dynamic heterogeneous environments is developed and evaluated. Unlike the state-of-the-art approaches, where load ba...
Bo Hong, Viktor K. Prasanna
ACL
1997
13 years 9 months ago
Fast Context-Free Parsing Requires Fast Boolean Matrix Multiplication
Valiant showed that Boolean matrix multiplication (BMM) can be used for CFG parsing. We prove a dual result: CFG parsers running in time O([Gl[w[3-e) on a grammar G and a string w...
Lillian Lee
ICA
2007
Springer
14 years 9 days ago
Estimating the Mixing Matrix in Sparse Component Analysis Based on Converting a Multiple Dominant to a Single Dominant Problem
We propose a new method for estimating the mixing matrix, A, in the linear model x(t) = As(t), t = 1, . . . , T, for the problem of underdetermined Sparse Component Analysis (SCA)....
Nima Noorshams, Massoud Babaie-Zadeh, Christian Ju...