December 2, 2025The Astrophysical Journal Supplement SeriesOpen Access

Self-attention-enhanced Deep Neural Networks for Simulating Post-Newtonian Dynamics of Three-body Systems

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Authors

HSHengjian SiTu BYBo YangChina State Construction Engineering (China)

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Implication

This approach shows improved simulation efficiency in three-body systems using a hybrid model and deep neural networks, suggesting reliable post-Newtonian predictions.

Key Points

The hybrid model achieves over 160× acceleration in predicting the state of three-body systems compared to numerical integration.
Predictions maintain relative energy errors below 1%, highlighting the effectiveness of the framework for accurate dynamics simulation.
Deep neural networks are utilized to independently learn classical Newtonian and post-Newtonian deviations for enhanced predictive power.
Implementing a relative energy error criterion ensures the physical reliability of simulations, enabling efficient inference.

Cite This Study

SiTu et al. (2025) studied this question.

synapsesocial.com/papers/692e3d706c9b3ab28c186e07 https://doi.org/10.3847/1538-4365/ae173f

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December 2, 2025The Astrophysical Journal Supplement SeriesOpen Access

Self-attention-enhanced Deep Neural Networks for Simulating Post-Newtonian Dynamics of Three-body Systems

View Full Paper

Ask AI

Bookmark

Authors

HSHengjian SiTu BYBo YangChina State Construction Engineering (China)

Discussion

Member takes

Implication

This approach shows improved simulation efficiency in three-body systems using a hybrid model and deep neural networks, suggesting reliable post-Newtonian predictions.

Key Points

The hybrid model achieves over 160× acceleration in predicting the state of three-body systems compared to numerical integration.
Predictions maintain relative energy errors below 1%, highlighting the effectiveness of the framework for accurate dynamics simulation.
Deep neural networks are utilized to independently learn classical Newtonian and post-Newtonian deviations for enhanced predictive power.
Implementing a relative energy error criterion ensures the physical reliability of simulations, enabling efficient inference.

Cite This Study

SiTu et al. (2025) studied this question.

synapsesocial.com/papers/692e3d706c9b3ab28c186e07 https://doi.org/10.3847/1538-4365/ae173f

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