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    Design and optimization of neural networks for multifidelity cosmological emulation

    Yanhui Yang (杨焱辉)1,*, Simeon Bird1,†, Ming-Feng Ho (何銘峰)1,2,3, and Mahdi Qezlou4

    • *Contact author: yyang440@ucr.edu
    • †Contact author: sbird@ucr.edu

    Phys. Rev. D 113, 043508 – Published 9 February, 2026

    DOI: https://doi.org/10.1103/cqrc-k8wq

    Abstract

    Accurate and efficient simulation-based emulators are essential for interpreting cosmological survey data down to nonlinear scales. Multifidelity emulation techniques reduce simulation costs by combining high- and low-fidelity data, but traditional regression methods such as Gaussian processes struggle with scalability in sample size and dimensionality. In this work, we present T2N-MusE, a neural network framework characterized by (i) a novel two-step multifidelity architecture, (ii) a two-stage Bayesian hyperparameter optimization, (iii) a two-phase k-fold training strategy, and (iv) a per-z principal component analysis strategy. We apply T2N-MusE to selected data from the goku simulation suite, covering a 10-dimensional cosmological parameter space, and build emulators for the matter power spectrum over a range of redshifts with different configurations. We find the emulators outperform our earlier Gaussian process models significantly and demonstrate that each of these techniques is efficient in training neural networks or/and effective in improving generalization accuracy. We observe a reduction in the mean error by more than a factor of 5 and in the worst-case error by approximately a factor of 8 in leave-one-out cross-validation, relative to previous work. This framework has been used to build the most powerful emulator for the matter power spectrum, gokunemu, and will also be used to construct emulators for other statistics in future.

    Physics Subject Headings (PhySH)

    See Also

    Ten-Dimensional Neural Network Emulator for the Nonlinear Matter Power Spectrum

    Yanhui Yang (杨焱辉), Simeon Bird, Ming-Feng Ho (何銘峰), and Mahdi Qezlou
    Phys. Rev. Lett. 136, 061001 (2026)

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