Super-Resolution without High-Resolution Labels for Black Hole Simulations

Fuente: arXiv
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Autori principali: Helfer, Thomas, Edwards, Thomas D. P., Dafflon, Jessica, Wong, Kaze W. K., Olson, Matthew Lyle
Natura: Preprint
Pubblicazione: 2024
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author Helfer, Thomas
Edwards, Thomas D. P.
Dafflon, Jessica
Wong, Kaze W. K.
Olson, Matthew Lyle
author_facet Helfer, Thomas
Edwards, Thomas D. P.
Dafflon, Jessica
Wong, Kaze W. K.
Olson, Matthew Lyle
contents Generating high-resolution simulations is key for advancing our understanding of one of the universe's most violent events: Black Hole mergers. However, generating Black Hole simulations is limited by prohibitive computational costs and scalability issues, reducing the simulation's fidelity and resolution achievable within reasonable time frames and resources. In this work, we introduce a novel method that circumvents these limitations by applying a super-resolution technique without directly needing high-resolution labels, leveraging the Hamiltonian and momentum constraints-fundamental equations in general relativity that govern the dynamics of spacetime. We demonstrate that our method achieves a reduction in constraint violation by one to two orders of magnitude and generalizes effectively to out-of-distribution simulations.
format Preprint
id arxiv_https___arxiv_org_abs_2411_02453
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Super-Resolution without High-Resolution Labels for Black Hole Simulations
Helfer, Thomas
Edwards, Thomas D. P.
Dafflon, Jessica
Wong, Kaze W. K.
Olson, Matthew Lyle
General Relativity and Quantum Cosmology
Machine Learning
Generating high-resolution simulations is key for advancing our understanding of one of the universe's most violent events: Black Hole mergers. However, generating Black Hole simulations is limited by prohibitive computational costs and scalability issues, reducing the simulation's fidelity and resolution achievable within reasonable time frames and resources. In this work, we introduce a novel method that circumvents these limitations by applying a super-resolution technique without directly needing high-resolution labels, leveraging the Hamiltonian and momentum constraints-fundamental equations in general relativity that govern the dynamics of spacetime. We demonstrate that our method achieves a reduction in constraint violation by one to two orders of magnitude and generalizes effectively to out-of-distribution simulations.
title Super-Resolution without High-Resolution Labels for Black Hole Simulations
topic General Relativity and Quantum Cosmology
Machine Learning
url https://arxiv.org/abs/2411.02453