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math.CA2015★ 7 cited
On Holder-Brascamp-Lieb inequalities for torsion-free discrete Abelian groups
Michael Christ, James Demmel, Nicholas Knight +2
Hölder-Brascamp-Lieb inequalities provide upper bounds for a class of multilinear expressions, in terms of norms of the functions involved. They have been extensively studied…
math.CA2013
Communication lower bounds and optimal algorithms for programs that reference arrays -- Part 1
Michael Christ, James Demmel, Nicholas Knight +2
The movement of data (communication) between levels of a memory hierarchy, or between parallel processors on a network, can greatly dominate the cost of computation, so algorithms…