用生成模型从观测数据重建星系团的气体与暗物质分布。
Reconstructing Galaxy Cluster Mass Maps using Score-based Generative Modeling
- 基于扩散模型,从模拟的射电和X射线图像生成密度图。
- 在空间域准确复现密度轮廓的均值与方差,区分不同质量星系团。
- 适用于真实观测数据,可扩展至多模态输入与未知结构预测。
我们提出一种基于得分生成建模的新方法,用于重建星系团的气体和暗物质投影密度图。该扩散模型以模拟的太阳-泽尔尼克(SZ)和X射线图像作为条件输入,通过采样学习到的数据后验分布生成对应的气体与暗物质地图。利用宇宙学模拟生成的模拟数据进行训练与验证,结果表明模型在空间域中准确恢复了径向密度剖面的均值与分布范围,说明其能有效区分不同质量的星系团。在谱域中,偏差和交叉相关系数接近1,表明模型能在大尺度与小尺度上精确刻画星系团结构。实验验证了得分模型能够学习输入可观测量与星系团基本密度分布之间强非线性且无偏的映射关系。这些扩散模型可进一步微调并推广至更多观测输入,甚至直接应用于真实观测数据,预测星系团未知的密度分布。
原文摘要 · Abstract (English)
We present a novel approach to reconstruct gas and dark matter projected density maps of galaxy clusters using score-based generative modeling. Our diffusion model takes in mock SZ and X-ray images as conditional inputs, and generates realizations of corresponding gas and dark matter maps by sampling from a learned data posterior. We train and validate the performance of our model by using mock data from a cosmological simulation. The model accurately reconstructs both the mean and spread of the radial density profiles in the spatial domain, indicating that the model is able to distinguish between clusters of different mass sizes. In the spectral domain, the model achieves close-to-unity values for the bias and cross-correlation coefficients, indicating that the model can accurately probe cluster structures on both large and small scales. Our experiments demonstrate the ability of score models to learn a strong, nonlinear, and unbiased mapping between input observables and fundamental density distributions of galaxy clusters. These diffusion models can be further fine-tuned and generalized to not only take in additional observables as inputs, but also real observations and predict unknown density distributions of galaxy clusters.
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