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arXiv 2005.12039astro-ph.IMastro-ph.CO
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用变分自动编码器去混合星系:联合多波段、多仪器方法

Deblending galaxies with Variational Autoencoders: a joint multi-band, multi-instrument approach

Bastien Arcelin, Cyrille Doux, Eric Aubourg, Cécile Roucelle, The LSST Dark Energy Science Collaboration

摘要:

星系的混合在弱透镜研究的系统误差预算中有很大贡献,影响光度和形状测量,特别是对于地基,深,光度星系调查,如鲁宾天文台的时空遗产调查(LSST)。现有的deblender主要依赖于星系轮廓的分析建模,缺乏灵活而准确的模型。我们建议使用基于深度神经网络的生成模型,即变分自编码器(VAE),直接从数据中学习概率模型。我们训练一个VAE对图像的中心,孤立的星系,我们重复使用,作为一个先验,在第二个VAE类神经网络负责去融合星系。我们在模拟图像上训练我们的网络,包括六个LSST带通滤波器和欧几里得卫星的可见光和近红外波段,因为我们的方法自然地推广到多个波段,并且可以合并来自多个仪器的数据。在大多数情况下,我们分别获得了$\pm{0.01}$和$\pm{0.05}$之间的椭圆度和$r$ -波段幅度的中值重建误差,并且在最佳配置下,混合对象的椭圆度乘法偏差为1.6%。我们还研究了分散的影响,并证明该方法是强大的。这种方法只需要每个目标星系的近似中心,但不需要假设周围物体的数量,这意味着我们将为未来的工作留下一个迭代检测/去混合过程。最后,我们讨论了在真实数据上训练的未来挑战,并在应用迁移学习时获得了令人鼓舞的结果。我们的代码可以在GitHub上公开获取(https://github.com/LSSTDESC/DeblenderVAE)。

英文摘要:

Blending of galaxies has a major contribution in the systematic error budget of weak lensing studies, affecting photometric and shape measurements, particularly for ground-based, deep, photometric galaxy surveys, such as the Rubin Observatory Legacy Survey of Space and Time (LSST). Existing deblenders mostly rely on analytic modelling of galaxy profiles and suffer from the lack of flexible yet accurate models. We propose to use generative models based on deep neural networks, namely variational autoencoders (VAE), to learn probabilistic models directly from data. We train a VAE on images of centred, isolated galaxies, which we reuse, as a prior, in a second VAE-like neural network in charge of deblending galaxies. We train our networks on simulated images including six LSST bandpass filters and the visible and near-infrared bands of the Euclid satellite, as our method naturally generalises to multiple bands and can incorporate data from multiple instruments. We obtain median reconstruction errors on ellipticities and $r$-band magnitude between $\pm{0.01}$ and $\pm{0.05}$ respectively in most cases, and ellipticity multiplicative bias of 1.6% for blended objects in the optimal configuration. We also study the impact of decentring and prove the method to be robust. This method only requires the approximate centre of each target galaxy, but no assumptions about the number of surrounding objects, pointing to an iterative detection/deblending procedure we leave for future work. Finally, we discuss future challenges about training on real data and obtain encouraging results when applying transfer learning. Our code is publicly available on GitHub (https://github.com/LSSTDESC/DeblenderVAE).

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