1. Computing three-point correlation function randoms counts without the randoms catalogue.
- Author
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Pearson, David W and Samushia, Lado
- Subjects
- *
RANDOM numbers , *MAGNITUDE (Mathematics) , *CATALOGS , *COUNTING - Abstract
As we move towards future galaxy surveys, the three-point statistics will be increasingly leveraged to enhance the constraining power of the data on cosmological parameters. An essential part of the three-point function estimation is performing triplet counts of synthetic data points in random catalogues. Since triplet counting algorithms scale at best as |$\mathcal {O}(N^2\log N)$| with the number of particles and the random catalogues are typically at least 50 times denser than the data; this tends to be by far the most time-consuming part of the measurements. Here, we present a simple method of computing the necessary triplet counts involving uniform random distributions through simple one-dimensional integrals. The method speeds up the computation of the three-point function by orders of magnitude, eliminating the need for random catalogues, with the simultaneous pair and triplet counting of the data points alone being sufficient. [ABSTRACT FROM AUTHOR]
- Published
- 2019
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