Predicting Exoplanetary Features with a Residual Model for Uniform and Gaussian Distributions

Andrew Sweet
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Abstract

The advancement of technology has led to rampant growth in data collection across almost every field, including astrophysics, with researchers turning to machine learning to process and analyze this data. One prominent example of this data in astrophysics is the atmospheric retrievals of exoplanets. In order to help bridge the gap between machine learning and astrophysics domain experts, the 2023 Ariel Data Challenge was hosted to predict posterior distributions of 7 exoplanetary features. The procedure outlined in this paper leveraged a combination of two deep learning models to address this challenge: a Multivariate Gaussian model that generates the mean and covariance matrix of a multivariate Gaussian distribution, and a Uniform Quantile model that predicts quantiles for use as the upper and lower bounds of a uniform distribution. Training of the Multivariate Gaussian model was found to be unstable, while training of the Uniform Quantile model was stable. An ensemble of uniform distributions was found to have competitive results during testing (posterior score of 696.43), and when combined with a multivariate Gaussian distribution achieved a final rank of third in the 2023 Ariel Data Challenge (final score of 681.57).
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用均匀分布和高斯分布的残差模型预测系外行星特征
随着技术的进步,几乎所有领域(包括天体物理学)的数据收集量都在急剧增长,研究人员转而利用机器学习来处理和分析这些数据。天体物理学中的一个突出例子就是系外行星的大气检索数据。为了帮助缩小机器学习与天体物理学领域专家之间的差距,2023 年阿里尔数据挑战赛(Ariel Data Challenge)旨在预测 7 个系外行星特征的后验分布。本文概述的程序利用了两个深度学习模型的组合来应对这一挑战:一个是多变量高斯模型,用于生成多变量高斯分布的均值和协方差矩阵;另一个是均匀量值模型,用于预测作为均匀分布上下限的量值。多变量高斯模型的训练并不稳定,而均匀量值模型的训练则很稳定。在测试过程中,发现均匀分布集合具有竞争力的结果(后验得分为 696.43),当与多元高斯分布结合时,在 2023 年阿里尔数据挑战赛中取得了第三名的最终排名(最终得分为 681.57)。
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