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Sep 21, 2018 at 14:21 vote accept dohmatob
Aug 10, 2018 at 15:18 comment added dohmatob Thanks. That's a really cool answer packed with all kinds of relevant refs. The discrete case you refer to is very interesting in its own right, as it's reminiscent of so-called semi-discrete optimal transport; most generative modelling problems in machine-learning can be reformulated along those lines. The integrals can then be computed via means of Laguerre diagrams (in 2/3D one can use Green's Theorem).
Aug 10, 2018 at 14:53 history answered Steve CC BY-SA 4.0