Multifidelity emulation for the matter power spectrum using Gaussian processes
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY(2022)
摘要
We present methods for emulating the matter power spectrum by combining information from cosmological N-body simulations at different resolutions. An emulator allows estimation of simulation output by interpolating across the parameter space of a limited number of simulations. We present the first implementation in cosmology of multifidelity emulation, where many low-resolution simulations are combined with a few high-resolution simulations to achieve an increased emulation accuracy. The power spectrum's dependence on cosmology is learned from the low-resolution simulations, which are in turn calibrated using high-resolution simulations. We show that our multifidelity emulator predicts high-fidelity (HF) counterparts to percent-level relative accuracy when using only three HF simulations and outperforms a single-fidelity emulator that uses 11 simulations, although we do not attempt to produce a converged emulator with high absolute accuracy. With a fixed number of HF training simulations, we show that our multifidelity emulator is similar or equal to 100 times better than a single-fidelity emulator at k <= 2 hMpc(-1), and similar or equal to 20 times better at 3 <= k < 6.4 hMpc(-1). Multifidelity emulation is fast to train, using only a simple modification to standard Gaussian processes. Our proposed emulator shows a new way to predict non-linear scales by fusing simulations from different fidelities.
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关键词
methods: statistical, cosmology: theory, methods: numerical
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