论文标题

通过机器学习恢复CMB信号

Recovering the CMB Signal with Machine Learning

论文作者

Wang, Guo-Jian, Shi, Hong-Liang, Yan, Ye-Peng, Xia, Jun-Qing, Zhao, Yan-Yun, Li, Si-Yu, Li, Jun-Feng

论文摘要

带有早期宇宙不均匀信息的宇宙微波背景(CMB)对于理解我们宇宙的起源和演变具有重要意义。但是,观察性的CMB图包含来自多种来源的严重前景污染,例如银河同步加速器和热灰尘排放。在这里,我们建立了一个深度卷积神经网络(CNN),以从各种巨大的前景污染中恢复微小的CMB信号。着眼于CMB温度波动,我们发现CNN模型可以以很高的精度成功恢复CMB温度图,并且恢复的功率谱$ C_ \ ell $的偏差小于$ \ ell> 10 $的宇宙差异。然后,我们将此方法应用于当前的Planck观察结果,发现恢复的CMB与Planck协作所披露的方法非常一致,这表明CNN方法可以为CMB观测值的组件分离提供有希望的方法。此外,我们基于CMB-S4实验测试了使用模拟的CMB极化图测试CNN方法。结果表明,EE和BB功率谱均可高精度回收。因此,该方法将有助于在当前和将来的CMB实验中检测原始引力波。 CNN旨在分析二维图像,因此该方法不仅能够处理全套地图,还可以处理部分天空地图。因此,它也可以用于其他类似的实验,例如平方公里阵列等无线电调查。

The cosmic microwave background (CMB), carrying the inhomogeneous information of the very early universe, is of great significance for understanding the origin and evolution of our universe. However, observational CMB maps contain serious foreground contaminations from several sources, such as galactic synchrotron and thermal dust emissions. Here, we build a deep convolutional neural network (CNN) to recover the tiny CMB signal from various huge foreground contaminations. Focusing on the CMB temperature fluctuations, we find that the CNN model can successfully recover the CMB temperature maps with high accuracy, and that the deviation of the recovered power spectrum $C_\ell$ is smaller than the cosmic variance at $\ell>10$. We then apply this method to the current Planck observation, and find that the recovered CMB is quite consistent with that disclosed by the Planck collaboration, which indicates that the CNN method can provide a promising approach to the component separation of CMB observations. Furthermore, we test the CNN method with simulated CMB polarization maps based on the CMB-S4 experiment. The result shows that both the EE and BB power spectra can be recovered with high accuracy. Therefore, this method will be helpful for the detection of primordial gravitational waves in current and future CMB experiments. The CNN is designed to analyze two-dimensional images, thus this method is not only able to process full-sky maps, but also partial-sky maps. Therefore, it can also be used for other similar experiments, such as radio surveys like the Square Kilometer Array.

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