Researchers achieve ‘absurdly fast’ algorithm for network flow
quantamagazine.org
Researchers achieve ‘absurdly fast’ algorithm for network flow
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Re: Researchers achieve ‘absurdly fast’ algorithm for network flow
#2Is this academically published?
Is this newer than the various links that date to 2010?
Re: Researchers achieve ‘absurdly fast’ algorithm for network flow
#3It ALSO does minimum cost? Is this academically published? Is this newer than the various links that date to 2010?
Re: Researchers achieve ‘absurdly fast’ algorithm for network flow
#4> We give an algorithm that computes exact maximum flows and minimum-cost flows on directed graphs with m edges and polynomially bounded integral demands, costs, and capacities in m^(1+o(1)) time. Our algorithm builds the flow through a sequence of m^(1+o(1)) approximate undirected minimum-ratio cycles, each of which is computed and processed in amortized m^o(1) time using a new dynamic graph data structure.
^ Our framework extends to algorithms running in m^(1+o(1)) time for computing flows that minimize general edge-separable convex functions to high accuracy. This gives almost-linear time algorithms for several problems including entropy-regularized optimal transport, matrix scaling, p-norm flows, and p-norm isotonic regression on arbitrary directed acyclic graphs.
Re: Researchers achieve ‘absurdly fast’ algorithm for network flow
#5Re: Researchers achieve ‘absurdly fast’ algorithm for network flow
#6Re: Researchers achieve ‘absurdly fast’ algorithm for network flow
#7It ALSO does minimum cost? Is this academically published? Is this newer than the various links that date to 2010?
The link to the paper is n the 1st paragraph: https://arxiv.org/abs/2203.00671