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arXiv 2109.07070astro-ph.CO
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使用深度学习修复流体动力学地图

Inpainting hydrodynamical maps with deep learning

Faizan G. Mohammad, Francisco Villaescusa-Navarro, Shy Genel, Daniel Angles-Alcazar, Mark Vogelsberger

摘要:

从CAMELS项目的1,000个流体动力学模拟中,每个都有不同的宇宙学和天体物理学参数值,我们生成了15,000个气体温度图。我们使用最先进的深度卷积神经网络来从这些地图中恢复丢失的数据。我们通过应用覆盖每个地图区域的$15\%$或$30\%$的规则和不规则二进制掩码来模拟丢失的数据。我们使用两个汇总统计量来量化我们的结果的可靠性:1)概率密度函数(pdf)之间的距离,使用Kolmogorov-Smirnov(KS)检验估计,以及2)2D功率谱。当使用功率谱时,我们发现模型预测和未掩蔽的映射之间的极好的一致性:对于任何不规则的掩模,对于$k<20 h/$ Mpc,优于$1\%$。对于常规掩模,当覆盖图的$15\%$时,我们观察到$\sim5\%$的系统偏移,而当数据的$30\%$缺失时,结果变得不可靠。观察到的KS检验p值支持零假设,即当使用不规则掩模时,重建图和地面实况图是从相同的基础分布绘制的。另一方面,对于规则形状的面具,我们发现了一个强有力的证据,这两个分布不匹配。最后,我们使用在气体温度图上训练的模型,对来自完全不同领域的地图进行修复,例如气体质量,气体压力和电子密度,以及使用其他代码运行的模拟的气体温度图。我们发现,在视觉上,我们的模型是能够重建丢失的像素从这些领域的地图具有很高的精度,虽然其性能使用汇总统计在很大程度上取决于所考虑的领域。

英文摘要:

From 1,000 hydrodynamic simulations of the CAMELS project, each with a different value of the cosmological and astrophysical parameters, we generate 15,000 gas temperature maps. We use a state-of-the-art deep convolutional neural network to recover missing data from those maps. We mimic the missing data by applying regular and irregular binary masks that cover either $15\%$ or $30\%$ of the area of each map. We quantify the reliability of our results using two summary statistics: 1) the distance between the probability density functions (pdf), estimated using the Kolmogorov-Smirnov (KS) test, and 2) the 2D power spectrum. We find an excellent agreement between the model prediction and the unmasked maps when using the power spectrum: better than $1\%$ for $k<20 h/$Mpc for any irregular mask. For regular masks, we observe a systematic offset of $\sim5\%$ when covering $15\%$ of the maps while the results become unreliable when $30\%$ of the data is missing. The observed KS-test p-values favor the null hypothesis that the reconstructed and the ground-truth maps are drawn from the same underlying distribution when irregular masks are used. For regular-shaped masks on the other hand, we find a strong evidence that the two distributions do not match each other. Finally, we use the model, trained on gas temperature maps, to perform inpainting on maps from completely different fields such as gas mass, gas pressure, and electron density and also for gas temperature maps from simulations run with other codes. We find that visually, our model is able to reconstruct the missing pixels from the maps of those fields with great accuracy, although its performance using summary statistics depends strongly on the considered field.

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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