DeepSSM: an emulator of gravitational wave spectra from sound waves during cosmological first-order phase transitions

Abstract

We present DeepSSM, an open-source code powered by neural networks (NNs) to emulate gravitational wave (GW) spectra produced by sound waves during cosmological first-order phase transitions in the radiation-dominated era. The training data is obtained from an enhanced version of the Sound Shell Model (SSM), which accounts for the effects of cosmic expansion and yields more accurate spectra in the infrared regime. The emulator enables instantaneous predictions of GW spectra given the phase transition parameters, while achieving agreement with the enhanced SSM model within 10\% accuracy in the worst-case scenarios. The emulator is highly computationally efficient and fully differentiable, making it particularly suitable for direct Bayesian inference on phase transition parameters without relying on empirical templates, such as broken power-law models. We demonstrate this capability by successfully reconstructing phase transition parameters and their degeneracies from mock LISA observations using a Hamiltonian Monte Carlo sampler. The code is available at: https://github.com/ctian282/DeepSSM.

arXiv commentPublished version, 22 pages, 5 figures, 2 tables

References in corpus (68)

• Adam: A Method for Stochastic Optimization
• TianQin: a space-borne gravitational wave detector
• The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo
• Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis
• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
• Science Case for the Einstein Telescope
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• Science with the space-based interferometer eLISA. II: Gravitational waves from cosmological phase transitions
• Detecting gravitational waves from cosmological phase transitions with LISA: an update
• Energy Budget of Cosmological First-order Phase Transitions
• Taiji Program: Gravitational-Wave Sources
• Gravitational waves from the sound of a first order phase transition
• Pyro: Deep Universal Probabilistic Programming
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Parameter Estimation Methodology
• Numerical simulations of acoustically generated gravitational waves at a first order phase transition
• Shape of the acoustic gravitational wave power spectrum from a first order phase transition
• Upper Limits on the Stochastic Gravitational-Wave Background from Advanced LIGO's First Observing Run
• How fast can the wall move? A study of the electroweak phase transition dynamics
• Composable Effects for Flexible and Accelerated Probabilistic Programming in NumPyro
• Reconstructing the spectral shape of a stochastic gravitational wave background with LISA
• Cosmological phase transitions: from perturbative particle physics to gravitational waves
• Cosmic phase transitions: their applications and experimental signatures
• The BACCO Simulation Project: Exploiting the full power of large-scale structure for cosmology
• Sound shell model for acoustic gravitational wave production at a first-order phase transition in the early Universe
• COSMOPOWER: emulating cosmological power spectra for accelerated Bayesian inference from next-generation surveys
• Vorticity, kinetic energy, and suppressed gravitational wave production in strong first order phase transitions
• Gravitational waves from first order cosmological phase transitions in the Sound Shell Model
• Phase Transitions in an Expanding Universe: Stochastic Gravitational Waves in Standard and Non-Standard Histories
• Improved reconstruction of a stochastic gravitational wave background with LISA
• Phase transitions in the early and the present Universe
• Detecting a Stochastic Gravitational Wave Background in the presence of a Galactic Foreground and Instrument Noise
• Model-independent energy budget of cosmological first-order phase transitions
• Emulating Simulations of Cosmic Dawn for 21cm Power Spectrum Constraints on Cosmology, Reionization, and X-ray Heating
• Model-independent energy budget for LISA
• The MeerKAT Pulsar Timing Array: The first search for gravitational waves with the MeerKAT radio telescope
• Thermodynamics of a two-step electroweak phase transition
• Emulation of reionization simulations for Bayesian inference of astrophysics parameters using neural networks
• Baryogenesis and gravity waves from a UV-completed electroweak phase transition
• Fast cosmological parameter estimation using neural networks
• Fingerprinting models of first-order phase transitions by the synergy between collider and gravitational-wave experiments
• Gravitational wave and collider signals in complex two-Higgs doublet model with dynamical CP-violation at finite temperature
• {\sc CosmoNet}: fast cosmological parameter estimation in non-flat models using neural networks
• A hybrid simulation of gravitational wave production in first-order phase transitions
• Higgsless simulations of cosmological phase transitions and gravitational waves
• GLOBALEMU: A novel and robust approach for emulating the sky-averaged 21-cm signal from the cosmic dawn and epoch of reionisation
• PkANN - II. A non-linear matter power spectrum interpolator developed using artificial neural networks
• CONNECT: A neural network based framework for emulating cosmological observables and cosmological parameter inference
• PkANN - I. Non-linear matter power spectrum interpolation through artificial neural networks
• Hydrodynamic sound shell model
• Accelerating Large-Scale-Structure data analyses by emulating Boltzmann solvers and Lagrangian Perturbation Theory
• Bubble wall velocity during electroweak phase transition in the inert doublet model
• Effect of density fluctuations on gravitational wave production in first-order phase transitions
• Fast and accurate predictions of the nonlinear matter power spectrum for general models of Dark Energy and Modified Gravity
• CosmicNet II: Emulating extended cosmologies with efficient and accurate neural networks
• Energy budget and the gravitational wave spectra beyond the bag model
• Reconstructing physical parameters from template gravitational wave spectra at LISA: first order phase transitions
• Capse.jl: efficient and auto-differentiable CMB power spectra emulation
• Euclid-era cosmology for everyone: Neural net assisted MCMC sampling for the joint 3x2 likelihood
• Bubble wall velocity beyond leading-log approximation in electroweak phase transition
• Sound velocity effects on the phase transition gravitational wave spectrum in the sound shell model
• Model-dependent analysis method for energy budget of the cosmological first-order phase transition
• Impact of SM parameters and of the vacua of the Higgs potential in gravitational waves detection
• Estimation of Full Sky Power Spectrum between Intermediate to Large Angular Scales from Partial Sky CMB Anisotropies using Artificial Neural Network
• Effort: a fast and differentiable emulator for the Effective Field Theory of the Large Scale Structure of the Universe
• Gravitational waves from cosmological first-order phase transitions with precise hydrodynamics
• Self-consistent prediction of gravitational waves from cosmological phase transitions

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