使用 Bilby 进行引力波天文学的跨维度推断
Transdimensional inference for gravitational-wave astronomy with Bilby
AI总结：
本文为 Bilby 推出 tBilby 软件包，支持用现成嵌套采样和 MCMC 方法开展跨维度贝叶斯推断，并以 sine-Gaussian 小波拟合 GW150914 等示例验证其用途。
摘要：
在引力波天文学中，使用跨维度模型来回答问题正变得越来越有用；在这类模型中，自由参数的数量可以根据拟合数据所需的复杂度而变化。鉴于人们对跨维度推断的兴趣日益增长，我们为贝叶斯推断库（Bayesian inference Library，Bilby）引入了一个名为 tBilby 的新软件包。tBilby 软件包允许用户利用现有的 Bilby 架构，配合现成的嵌套采样器和/或马尔可夫链蒙特卡洛算法来设置跨维度推断计算。当我们试图检验由唯象模型描述的、理论上尚不确定的预测时，跨维度模型尤其有帮助。例如，引力波暴可以用 N 个小波的叠加来建模，其中 N 本身就是一个自由参数。短脉冲用较小的 N 值建模，而更长、更复杂的信号则由大量拼接在一起的小波表示。其他跨维度模型也已用于描述仪器噪声和引力波源的群体属性。我们提供了 tBilby 的若干演示，包括用 N 个 sine-Gaussian 小波的叠加拟合引力波信号 GW150914。我们还概述了进一步开发 tbilby 代码套件以应对更广泛跨维度问题的计划。
英文摘要：
It has become increasingly useful to answer questions in gravitational-wave astronomy using transdimensional models where the number of free parameters can be varied depending on the complexity required to fit the data. Given the growing interest in transdimensional inference, we introduce a new package for the Bayesian inference Library (Bilby) called tBilby. The tBilby package allows users to set up transdimensional inference calculations using the existing Bilby architecture with off-the-shelf nested samplers and/or Markov Chain Monte Carlo algorithms. Transdimensional models are particularly helpful when we seek to test theoretically uncertain predictions described by phenomenological models. For example, bursts of gravitational waves can be modelled using a superposition of N wavelets where N is itself a free parameter. Short pulses are modelled with small values of N whereas longer, more complicated signals are represented with a large number of wavelets stitched together. Other transdimensional models have found use describing instrumental noise and the population properties of gravitational-wave sources. We provide a few demonstrations of tBilby, including fitting the gravitational-wave signal GW150914 with a superposition of N sine-Gaussian wavelets. We outline our plans to further develop the tbilby code suite for a broader range of transdimensional problems.
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