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arXiv 2202.08398astro-ph.SRastro-ph.GAastro-ph.IM
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用高斯过程回归模拟恒星:增强恒星模型网格

Modelling stars with Gaussian Process Regression: Augmenting Stellar Model Grid

Tanda Li, Guy R. Davies, Alexander J. Lyttle, Warrick H. Ball, Lindsey M. Carboneau, Rafael A. Garcia

摘要:

基于网格的建模被广泛用于估计恒星参数。然而,恒星模型网格是稀疏的,因为计算成本。本文演示了使用高斯过程(GP)回归的机器学习算法的应用,该算法将稀疏模型网格转换为连续函数。我们训练GP模型将五个基本输入(质量、等效演化阶段、初始金属丰度、初始氦分数和混合长度参数)映射到可观测的输出(有效温度、表面重力、半径、表面金属丰度和恒星年龄)。我们使用离网恒星模型测试了GP对五个输出的预测,没有发现明显的系统偏移,表明预测的准确性良好。作为进一步的验证,我们将这些GP模型应用于1,000颗假星。推断的质量和年龄确定的GP模型以及恢复真实值在一个标准偏差。使用基于GP的插值的一个重要结果是,由于对基本输入进行了全采样,因此恒星年龄比使用原始稀疏网格估计的恒星年龄更精确。

英文摘要:

Grid-based modelling is widely used for estimating stellar parameters. However, stellar model grid is sparse because of the computational cost. This paper demonstrates an application of a machine-learning algorithm using the Gaussian Process (GP) Regression that turns a sparse model grid onto a continuous function. We train GP models to map five fundamental inputs (mass, equivalent evolutionary phase, initial metallicity, initial helium fraction, and the mixing-length parameter) to observable outputs (effective temperature, surface gravity, radius, surface metallicity, and stellar age). We test the GP predictions for the five outputs using off-grid stellar models and find no obvious systematic offsets, indicating good accuracy in predictions.As a further validation, we apply these GP models to characterise 1,000 fake stars. Inferred masses and ages determined with GP models well recover true values within one standard deviation. An important consequence of using GP-based interpolation is that stellar ages are more precise than those estimated with the original sparse grid because of the full sampling of fundamental inputs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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