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RascalC: A Jackknife Approach to Estimating Single and Multi-Tracer Galaxy Covariance Matrices

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arxiv 1904.11070 v2 pith:JLARICOQ submitted 2019-04-24 astro-ph.CO astro-ph.IM

classification astro-ph.COastro-ph.IM
keywords largemodelcovariancecovariancesjackknifematricesmocknoise
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

To make use of clustering statistics from large cosmological surveys, accurate and precise covariance matrices are needed. We present a new code to estimate large scale galaxy two-point correlation function (2PCF) covariances in arbitrary survey geometries that, due to new sampling techniques, runs $\sim 10^4$ times faster than previous codes, computing finely-binned covariance matrices with negligible noise in less than 100 CPU-hours. As in previous works, non-Gaussianity is approximated via a small rescaling of shot-noise in the theoretical model, calibrated by comparing jackknife survey covariances to an associated jackknife model. The flexible code, RascalC, has been publicly released, and automatically takes care of all necessary pre- and post-processing, requiring only a single input dataset (without a prior 2PCF model). Deviations between large scale model covariances from a mock survey and those from a large suite of mocks are found to be be indistinguishable from noise. In addition, the choice of input mock are shown to be irrelevant for desired noise levels below $\sim 10^5$ mocks. Coupled with its generalization to multi-tracer data-sets, this shows the algorithm to be an excellent tool for analysis, reducing the need for large numbers of mock simulations to be computed.

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Hermes - Towards an Optimal High-Performance Algorithm for Cosmic Statistics of Large Data Sets

    astro-ph.CO 2026-07 conditional novelty 6.0 of 10

    Hermes/PyHermes reconstructs catalogues in a scaling-function basis and unifies CIC, 2PCF, 3PCF, marked, and operator-based cosmic statistics as reusable window operations with FFT/MPI/GPU scaling.

  2. The Linear Point Standard Ruler with DESI DR1 and DR2 Data

    astro-ph.CO 2026-01 conditional novelty 6.0 of 10

    Linear-point distance measurements on DESI DR1/DR2 galaxy samples agree with template-based BAO measurements once a cosmology-dependent smearing correction is applied.

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