Machine learning supported annealing for prediction of grand canonical crystal structures

Fuente: arXiv
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Main Authors: Couzinie, Yannick, Seki, Yuya, Nishiya, Yusuke, Nishi, Hirofumi, Kosugi, Taichi, Tanaka, Shu, Matsushita, Yu-ichiro
Format: Preprint
Published: 2024
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author Couzinie, Yannick
Seki, Yuya
Nishiya, Yusuke
Nishi, Hirofumi
Kosugi, Taichi
Tanaka, Shu
Matsushita, Yu-ichiro
author_facet Couzinie, Yannick
Seki, Yuya
Nishiya, Yusuke
Nishi, Hirofumi
Kosugi, Taichi
Tanaka, Shu
Matsushita, Yu-ichiro
contents This study investigates the application of Factorization Machines with Quantum Annealing (FMQA) to address the crystal structure problem (CSP) in materials science. FMQA is a black-box optimization algorithm that combines machine learning with annealing machines to find samples to a black-box function that minimize a given loss. The CSP involves determining the optimal arrangement of atoms in a material based on its chemical composition, a critical challenge in materials science. We explore FMQA's ability to efficiently sample optimal crystal configurations by setting the loss function to the energy of the crystal configuration as given by a predefined interatomic potential. Further we investigate how well the energies of the various metastable configurations, or local minima of the potential, are learned by the algorithm. Our investigation reveals FMQA's potential in quick ground state sampling and in recovering relational order between local minima.
format Preprint
id arxiv_https___arxiv_org_abs_2408_03556
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Machine learning supported annealing for prediction of grand canonical crystal structures
Couzinie, Yannick
Seki, Yuya
Nishiya, Yusuke
Nishi, Hirofumi
Kosugi, Taichi
Tanaka, Shu
Matsushita, Yu-ichiro
Materials Science
Computational Physics
This study investigates the application of Factorization Machines with Quantum Annealing (FMQA) to address the crystal structure problem (CSP) in materials science. FMQA is a black-box optimization algorithm that combines machine learning with annealing machines to find samples to a black-box function that minimize a given loss. The CSP involves determining the optimal arrangement of atoms in a material based on its chemical composition, a critical challenge in materials science. We explore FMQA's ability to efficiently sample optimal crystal configurations by setting the loss function to the energy of the crystal configuration as given by a predefined interatomic potential. Further we investigate how well the energies of the various metastable configurations, or local minima of the potential, are learned by the algorithm. Our investigation reveals FMQA's potential in quick ground state sampling and in recovering relational order between local minima.
title Machine learning supported annealing for prediction of grand canonical crystal structures
topic Materials Science
Computational Physics
url https://arxiv.org/abs/2408.03556