Fewer simulations, sharper covariances: Reducing mock covariance noise with Zeldovich approximation control variates

arXiv:2605.28817 · astro-ph.CO · Submitted 2026-05-27 · Read on arXiv

astro-ph.CO

Submitted: 2026-05-27

Updated: 2026-10-22

Code: https://github.com/abacusorg/abacusutils

Terminology

• Accuracy — 11× in this paper · explained in 1 episode
• Bispectrum — 2× in this paper · explained in 3 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Anti-correlation — 1× in this paper · explained in 3 episodes
• Clustering — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• DESI South Galactic Cap — 1× in this paper
• Dark Energy Spectroscopic Instrument — 1× in this paper
• Matter Power Spectrum — 1× in this paper · explained in 2 episodes
• N-body simulations — 1× in this paper · explained in 2 episodes
• Optimal Transport — 1× in this paper · explained in 5 episodes
• Systematic Bias — 1× in this paper · explained in 3 episodes

Sources

• The Effect of Covariance Estimator Error on Cosmological Parameter Constraints
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Cosmology with the SPHEREX All-Sky Spectral Survey
• LSST Science Book, Version 2.0
• Control variates from Eulerian and Lagrangian perturbation theory: Application to the bispectrum
• Putting the Precision in Precision Cosmology: How accurate should your data covariance matrix be?
• The Clustering of Galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: Including covariance matrix errors
• Parameter inference with estimated covariance matrices
• Euclid. I. Overview of the Euclid mission
• Extragalactic Science, Cosmology and Galactic Archaeology with the Subaru Prime Focus Spectrograph (PFS)
• Response Approach to the Matter Power Spectrum Covariance
• Galaxy Power Spectrum Multipoles Covariance in Perturbation Theory
• Covariance of the matter power spectrum including the survey window function effect: N-body simulations vs. fifth-order perturbation theory on grid
• Covariance of the galaxy angular power spectrum with the halo model
• Simulations of Baryon Acoustic Oscillations II: Covariance matrix of the matter power spectrum
• Comparing approximate methods for mock catalogues and covariance matrices II: Power spectrum multipoles
• Comparing approximate methods for mock catalogues and covariance matrices I: correlation function
• Statistical Analysis of Galaxy Surveys - I. Robust error estimation for 2-point clustering statistics
• Creating Jackknife and Bootstrap estimates of the covariance matrix for the two-point correlation function
• Shrinkage Estimation of the Power Spectrum Covariance Matrix

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