论文标题

Galactic 3D通过球形坐标上的高斯过程回归的大规模灰尘分布

The Galactic 3D large-scale dust distribution via Gaussian process regression on spherical coordinates

论文作者

Leike, R. H., Edenhofer, G., Knollmüller, J., Alig, C., Frank, P., Enßlin, T. A.

论文摘要

知道银河系3D尘埃分布与理解星际介质中的许多过程有关,并纠正许多天文观测以吸收尘埃和排放。在这里,我们的目标是对银河灰尘分布进行3D重建,并通过相对于先前的重建来增加有意义的分辨率元素的数量,同时利用灰尘的空间相关性来告知灰尘图。我们使用迭代网格细化来定义球形坐标中的对数正态过程。该对数正态分子的过程假设了固定的相关结构,这是在较早的银河灰尘重建中推断出来的。我们的地图通过1.11亿个数据点获悉,结合了Panstarrs,2 Mass,Gaia DR2和Allwise的数据。对数正常过程被离散在1220亿程度的自由度上,比以前的地图高400倍。我们使用自然梯度下降和Fisher-Laplace近似来得出最可能的后图和不确定性估计。 The dust reconstruction covers a quarter of the volume of our Galaxy, with a maximum coordinate distance of $16\,\text{kpc}$, and meaningful information can be found up to at distances of $4\,$kpc, still improving upon our earlier map by a factor of 5 in maximal distance, of $900$ in volume, and of about eighteen in angular grid resolution.不幸的是,选择使重建计算负担得起的最大后验方法引入了伪像,并降低了不确定性估计的准确性。尽管提出的3D尘埃图具有明显的局限性,但独立的Maser观察结果证实了重建结构的很大一部分。因此,该地图是迈向可靠的3D银河制图扫描的一步,如果要谨慎使用,已经可以执行许多任务。

Knowing the Galactic 3D dust distribution is relevant for understanding many processes in the interstellar medium and for correcting many astronomical observations for dust absorption and emission. Here, we aim for a 3D reconstruction of the Galactic dust distribution with an increase in the number of meaningful resolution elements by orders of magnitude with respect to previous reconstructions, while taking advantage of the dust's spatial correlations to inform the dust map. We use iterative grid refinement to define a log-normal process in spherical coordinates. This log-normal process assumes a fixed correlation structure, which was inferred in an earlier reconstruction of Galactic dust. Our map is informed through 111 Million data points, combining data of PANSTARRS, 2MASS, Gaia DR2 and ALLWISE. The log-normal process is discretized to 122 Billion degrees of freedom, a factor of 400 more than our previous map. We derive the most probable posterior map and an uncertainty estimate using natural gradient descent and the Fisher-Laplace approximation. The dust reconstruction covers a quarter of the volume of our Galaxy, with a maximum coordinate distance of $16\,\text{kpc}$, and meaningful information can be found up to at distances of $4\,$kpc, still improving upon our earlier map by a factor of 5 in maximal distance, of $900$ in volume, and of about eighteen in angular grid resolution. Unfortunately, the maximum posterior approach chosen to make the reconstruction computational affordable introduces artifacts and reduces the accuracy of our uncertainty estimate. Despite of the apparent limitations of the presented 3D dust map, a good part of the reconstructed structures are confirmed by independent maser observations. Thus, the map is a step towards reliable 3D Galactic cartography and already can serve for a number of tasks, if used with care.

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