Optimal Transport Reconstruction of Baryon Acoustic Oscillations

Abstract

A weighted, semi-discrete, fast optimal transport (OT) algorithm for reconstructing the Lagrangian positions of proto-halos from their evolved Eulerian positions is presented. The algorithm makes use of a mass estimate of the biased tracers and of the distribution of the remaining mass (the `dust'), but is robust to errors in the mass estimates. Tests with state-of-art cosmological simulations show that if the dust is assumed to have a uniform spatial distribution, then the shape of the OT-reconstructed pair correlation function of the tracers is very close to linear theory, enabling sub-percent precision in the BAO distance scale that depends weakly, if at all, on a cosmological model. With a more sophisticated model for the dust, OT returns an estimate of the displacement field which yields superb reconstruction of the proto-halo positions, and hence of the shape and amplitude of the initial pair correlation function of the tracers. This enables direct and independent determinations of the bias factor $b$ and the smearing scale $\Sigma$, potentially providing new methods for breaking the degeneracy between $b$ and ${\sigma }_8$.

matches published version (Physical Review Letters)

References in corpus (10)

• Improving Cosmological Distance Measurements by Reconstruction of the Baryon Acoustic Peak
• Nonlinear Evolution of Baryon Acoustic Oscillations
• On the Robustness of the Acoustic Scale in the Low-Redshift Clustering of Matter
• ELUCID - Exploring the Local Universe with reConstructed Initial Density field I: Hamiltonian Markov Chain Monte Carlo Method with Particle Mesh Dynamics
• Modeling scale-dependent bias on the baryonic acoustic scale with the statistics of peaks of Gaussian random fields
• Ellipsoidal halo finders and implications for models of triaxial halo formation
• A fast semi-discrete optimal transport algorithm for a unique reconstruction of the early Universe
• Accurate Baryon Acoustic Oscillations reconstruction via semi-discrete optimal transport
• Phenomenology of BAO evolution from Lagrangian to Eulerian Space
• The smearing scale in Laguerre reconstructions of the correlation function

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• Baryon Acoustic Oscillations analyses with Density-Split Statistics
• Cosmological constraints with the linear point from the BOSS survey
• Wasserstein Distance in Cosmological Structure Formation: An Optimal Transport Perspective
• Large-scale semi-discrete optimal transport with distributed Voronoi diagrams