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arXiv 2102.06569astro-ph.CO
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遗传算法在宇宙微波背景大角尺度特征估计中的应用

Application of Genetic Algorithm to Estimate the Large Angular Scale Features of Cosmic Microwave Background

Parth Nayak, Rajib Saha

摘要:

遗传算法(GA)是一种基于自然进化思想的全局最优解估计方法。在这篇文章中,第一次,我们应用遗传算法重建CMB温度各向异性地图在大角度尺度的天空使用(内部)线性组合(ILC)的最后一年WMAP和普朗克卫星观测。为了避免陷入局部最小值,我们通过选择具有不同适应度系数的对和引入少量但显著的基因突变来实现具有慷慨多样性的遗传算法。我们发现,新的GA-ILC方法产生一个干净的地图,同意非常好,使用ILC中的权重的精确解析表达式。通过使用GA-ILC算法对CMB重建进行广泛的蒙特卡罗模拟,我们发现在清洁的地图中残留的前景是最小的,并且倾向于占据沿银道面的局部区域。CMB角功率谱显示,在这项工作中研究的整个多极范围$2 \leq \ell \leq 32$没有任何偏见的迹象。CMB角功率谱中的误差也是最小的,并且完全由宇宙方差引起的误差给出。我们的结果与不同的研究小组通过各种其他重建方法得到的结果吻合得很好。这种与问题无关的鲁棒GA-ILC方法为宇宙学中CMB分量重建这一复杂而具有挑战性的任务提供了一种灵活的方法。

英文摘要:

Genetic Algorithm (GA) -- motivated by natural evolution -- is a robust method to estimate the global optimal solutions of problems involving multiple objective functions. In this article, for the first time, we apply GA to reconstruct the CMB temperature anisotropy map over large angular scales of the sky using (internal) linear combination (ILC) of the final-year WMAP and Planck satellite observations. To avoid getting trapped into a local minimum, we implement the GA with generous diversity in the populations by selecting pairs with diverse fitness coefficients and by introducing a small but significant amount of mutation of genes. We find that the new GA-ILC method produces a clean map which agrees very well with that obtained using the exact analytical expression of weights in ILC. By performing extensive Monte Carlo simulations of the CMB reconstruction using the GA-ILC algorithm, we find that residual foregrounds in the cleaned map are minimal and tend to occupy localized regions along the galactic plane. The CMB angular power spectrum shows no indication of any bias in the entire multipole range $2 \leq \ell \leq 32$ studied in this work. The error in the CMB angular power spectrum is also minimal and given entirely by the cosmic-variance-induced error. Our results agree well with those obtained by various other reconstruction methods by different research groups. This problem-independent robust GA-ILC method provides a flexible way towards the complex and challenging task of CMB component reconstruction in cosmology.

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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