3 papers
astro-ph.CO2026
Optimal Transport Reconstruction of Biased Tracers in Primordial Non-Gaussian Fields
Farnik Nikakhtar, Ravi K. Sheth, Nikhil Padmanabhan +2
Optimal transport provides an efficient method to infer the displacement of objects by mapping their initial positions to their present-day locations over cosmic time; equivalently…
physics.comp-ph2025
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…
astro-ph.CO2024
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 nonl…