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arXiv 1909.06296astro-ph.IMcs.LGgr-qc
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利用条件变分自动编码器进行引力波天文学的贝叶斯参数估计

Bayesian parameter estimation using conditional variational autoencoders for gravitational-wave astronomy

University of Glasgow(格拉斯哥大学)

Hunter Gabbard, Chris Messenger, Ik Siong Heng, Francesco Tonolini, Roderick Murray-Smith

摘要:

引力波(GW)探测现在是司空见惯的,随着全球GW探测器网络灵敏度的提高,我们每年将观测到$\mathcal{O}(100)$ s的瞬态GW事件。目前用于估计其源参数的方法采用最佳敏感但计算成本高的贝叶斯推断方法,其中典型的分析需要6小时至5天。对于双星中子星和中子星黑洞系统,预计在1秒至1分钟的时间尺度上会立即产生对应的电磁(EM)特征,目前用于提醒EM后续观察者的最快方法可以在$\mathcal{O}(1)$分钟内提供对有限范围的关键源参数的估计。在这里,我们表明,一个条件变分自动编码器预先训练的二进制黑洞信号可以返回贝叶斯后验概率估计。对于给定的先验参数空间,训练过程仅需要执行一次,并且所得的经训练的机器然后可以比现有技术更快地生成描述后验分布$\sim 6$数量级的样本。

英文摘要:

Gravitational wave (GW) detection is now commonplace and as the sensitivity of the global network of GW detectors improves, we will observe $\mathcal{O}(100)$s of transient GW events per year. The current methods used to estimate their source parameters employ optimally sensitive but computationally costly Bayesian inference approaches where typical analyses have taken between 6 hours and 5 days. For binary neutron star and neutron star black hole systems prompt counterpart electromagnetic (EM) signatures are expected on timescales of 1 second -- 1 minute and the current fastest method for alerting EM follow-up observers, can provide estimates in $\mathcal{O}(1)$ minute, on a limited range of key source parameters. Here we show that a conditional variational autoencoder pre-trained on binary black hole signals can return Bayesian posterior probability estimates. The training procedure need only be performed once for a given prior parameter space and the resulting trained machine can then generate samples describing the posterior distribution $\sim 6$ orders of magnitude faster than existing techniques.

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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