Gravitational-wave signal-to-noise interpolation via neural networks

preprint2020arXivOpen access

Abstract

Computing signal-to-noise ratios (SNRs) is one of the most common tasks in gravitational-wave data analysis. While a single SNR evaluation is generally fast, computing SNRs for an entire population of merger events could be time consuming. We compute SNRs for aligned-spin binary black-hole mergers as a function of the (detector-frame) total mass, mass ratio and spin magnitudes using selected waveform models and detector noise curves, then we interpolate the SNRs in this four-dimensional parameter space with a simple neural network (a multilayer perceptron). The trained network can evaluate 10610^6 SNRs on a 4-core CPU within a minute with a median fractional error below 10−310^{-3}. This corresponds to average speed-ups by factors in the range [120, 7.5×104][120,\,7.5\times10^4], depending on the underlying waveform model. Our trained network (and source code) is publicly available at https://github.com/kazewong/NeuralSNR, and it can be easily adapted to similar multidimensional interpolation problems.

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