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Can cheap approximations reduce noise in galaxy survey statistics?

Boryana Hadzhiyska, Martin White

May 27, 2026

Measuring the large-scale structure of the universe requires precise estimates of how uncertain our measurements are—a calculation that normally demands hundreds of expensive simulations. This work pairs each simulation with a cheap Zeldovich approximation sharing the same starting conditions, then uses the known statistical properties of the Zeldovich field to cancel out noise. The result: covariance matrices converge 2–3 times faster, with dramatic improvements on the largest scales where accuracy matters most for cosmology.
Published as Fewer simulations, sharper covariances: Reducing mock covariance noise with Zeldovich approximation control variates arXiv:2605.28817
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