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Large-scale semi-discrete optimal transport with distributed Voronoi diagrams
Bruno Lévy, Nicolas Ray, Quentin Mérigot +1
In this article, we propose a numerical method to solve semi-discrete optimal transport problems for gigantic pointsets (108 points and more). By pushing the limits by several orde…
Monge Ampère gravity: from the large deviation principle to cosmological simulations through optimal transport
Bruno Lévy, Yann Brenier, Roya Mohayaee
We study Monge-Ampère gravity (MAG) as an effective theory of cosmological structure formation through optimal transport theory. MAG is based on the Monge-Ampère equation, a nonlin…
Displacement Field Analysis via Optimal Transport: Multi-Tracer Approach to Cosmological Reconstruction
Farnik Nikakhtar, Ravi K. Sheth, Nikhil Padmanabhan +2
We demonstrate the effectiveness of one of the many multi-tracer analyses enabled by Optimal Transport (OT) reconstruction. Leveraging a semi-discrete OT algorithm, we determine th…