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Euclid preparation: II. The EuclidEmulator -- A tool to compute the cosmology dependence of the nonlinear matter power spectrum

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arxiv 1809.04695 v3 pith:I2NIZIAL submitted 2018-09-12 astro-ph.CO

classification astro-ph.CO
keywords emulatornonlinearsimulationsn-bodypowerspectrumbeencosmological
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We present a new power spectrum emulator named EuclidEmulator that estimates the nonlinear correction to the linear dark matter power spectrum. It is based on a spectral decomposition method called polynomial chaos expansion. All steps in the construction of the emulator have been tested and optimized: the large high-resolution N-body simulations carried out with PKDGRAV3 were validated using a simulation from the Euclid Flagship campaign and demonstrated to have converged up to wavenumbers $k\approx 5\,h\,{\rm Mpc}^{-1}$ for redshifts $z\leq 5$. The emulator is constructed using the uncertainty quantification software UQLab and it has been optimized first by creating mock emulators based on Takahashi's HALOFIT. We show that it is possible to successfully predict the performance of the final emulator in this way prior to performing any N-body simulations. We provide a C-code to calculate the nonlinear correction at a relative accuracy of $\sim0.3\%$ with respect to N-body simulations within 50 ms. The absolute accuracy of the final nonlinear power spectrum is comparable to one obtained with N-body simulations, i.e. $\sim 1\%$ for $k\lesssim 1\,h\,{\rm Mpc}^{-1}$ and $z\lesssim 3.5$. This enables efficient forward modeling in the nonlinear regime allowing for maximum likelihood estimation of cosmological parameters. EuclidEmulator has been compared to HALOFIT and CosmicEmu, an alternative emulator based on the Mira-Titan Universe, and shown to be more accurate than these other approaches. This work paves a new way for optimal construction of future emulators that also consider other cosmological observables, use higher resolution input simulations and investigate higher dimensional cosmological parameter spaces.

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Cited by 9 Pith papers

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

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    astro-ph.CO 2026-07 accept novelty 7.0 of 10

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    Joint 2nd- and 3rd-order cosmic shear analysis on KiDS-Legacy data produces Ω_m = 0.297^{+0.056}_{-0.040} and S_8 = 0.806^{+0.025}_{-0.023}, consistent with Planck and prior KiDS results while improving Ω_m precision.

  3. (The) Wiggles going non-linear

    astro-ph.CO 2026-05 unverdicted novelty 6.0 of 10

    N-body simulations calibrate a one-parameter damping model that predicts the non-linear matter power spectrum from wiggly primordial spectra to sub-percent accuracy when wiggle frequency is high enough.

  4. FLAMINGO: The thermal history of the Universe from tSZ effect cross-correlations and its dependencies on cosmology and baryon physics

    astro-ph.CO 2026-05 unverdicted novelty 6.0 of 10

    tSZ cross-correlations with large-scale structure tracers prefer low S8 and strong baryonic feedback, yielding S8 = 0.72 and low group baryon fraction in FLAMINGO simulations.

  5. CSST Cosmological Emulator II: Generalized Accurate Halo Mass Function Emulation

    astro-ph.CO 2025-06 conditional novelty 6.0 of 10

    A new emulator predicts cumulative dark matter halo mass functions for three mass definitions with claimed 2-10% accuracy from z=0 to 3, based on the Kun simulation suite.

  6. Computing Nonlinear Power Spectra Across Dynamical Dark Energy Model Space with Neural ODEs

    astro-ph.CO 2025-06 conditional novelty 6.0 of 10

    A neural ODE trained only on LambdaCDM spectra predicts nonlinear matter power spectra to about 4 percent accuracy for smooth w(z) dark energy models, pending stronger validation.

  7. Extending CSST Emulator to post-DESI era

    astro-ph.CO 2025-10 conditional novelty 5.0 of 10

    A tuned 'spectral equivalence' mapping lets the CSST emulator predict nonlinear matter power spectra at ~1% accuracy across the DESI DR2+CMB dynamic-dark-energy posterior.

  8. Modelling the matter bispectrum at small scales in modified gravity

    astro-ph.CO 2019-09 conditional novelty 5.0 of 10

    No existing matter-bispectrum model is accurate enough for Stage IV lensing surveys across the tested modified gravity theories, and a halo-model-corrected fitting formula is the most accurate option tested.

  9. Machine-learning applications for weak-lensing cosmology

    astro-ph.CO 2026-05 unverdicted novelty 2.0 of 10

    Machine learning techniques can mitigate limitations in traditional weak-lensing analyses and enhance extraction of cosmological information from galaxy imaging surveys.

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