English

Fast emulation of two-point angular statistics for photometric galaxy surveys

Cosmology and Nongalactic Astrophysics 2022-06-30 v1

Abstract

We develop a set of machine-learning based cosmological emulators, to obtain fast model predictions for the C()C(\ell) angular power spectrum coefficients characterising tomographic observations of galaxy clustering and weak gravitational lensing from multi-band photometric surveys (and their cross-correlation). A set of neural networks are trained to map cosmological parameters into the coefficients, achieving a speed-up O(103)\mathcal{O}(10^3) in computing the required statistics for a given set of cosmological parameters, with respect to standard Boltzmann solvers, with an accuracy better than 0.175%0.175\% (<0.1%<0.1\% for the weak lensing case). This corresponds to 2%\sim 2\% or less of the statistical error bars expected from a typical Stage IV photometric surveys. Such overall improvement in speed and accuracy is obtained through (i\textit{i}) a specific pre-processing optimisation, ahead of the training phase, and (ii\textit{ii}) a more effective neural network architecture, compared to previous implementations.

Keywords

Cite

@article{arxiv.2206.14208,
  title  = {Fast emulation of two-point angular statistics for photometric galaxy surveys},
  author = {Marco Bonici and Luca Biggio and Carmelita Carbone and Luigi Guzzo},
  journal= {arXiv preprint arXiv:2206.14208},
  year   = {2022}
}