论文标题
基于二项式分布的吸收光谱的贝叶斯推断
Bayesian Inference of Absorption Spectra Based on Binomial Distribution
论文作者
论文摘要
在本文中,我们提出了一种用于吸收光谱的贝叶斯光谱反卷积方法。在常规分析中,从不适当考虑吸收光谱数据的噪声机制。在该分析中,经常使用最小二乘法,从贝叶斯统计的角度使用高斯噪声。由于可以通过引入适当的数据噪声模型来推断贝叶斯的推断,因此我们将单个光子的吸收过程视为Bernoulli试验,并基于二项式分布开发贝叶斯光谱反卷积方法。我们已经通过数值实验评估了在几种条件下对人造数据的方法。结果表明,我们的方法不仅允许我们从吸收光谱数据中估算具有很高准确性的参数,而且还可以从具有较大的吸收率的吸收光谱数据中推断出它们,在这些吸收光谱数据中,光谱结构被扁平,以前是无法分析的。
In this paper, we propose a Bayesian spectral deconvolution method for absorption spectra. In conventional analysis, the noise mechanism of absorption spectral data is never considered appropriately. In that analysis, the least-squares method, which assumes Gaussian noise from the perspective of Bayesian statistics, is frequently used. Since Bayesian inference is possible by introducing an appropriate noise model for the data, we consider the absorption process of a single photon to be a Bernoulli trial and develop a Bayesian spectral deconvolution method based on binomial distribution. We have evaluated our method on artificial data under several conditions by numerical experiments. The results show that our method not only allows us to estimate parameters with high accuracy from absorption spectral data, but also to infer them even from absorption spectral data with large absorption rates where the spectral structure is flattened, which was previously impossible to analyze.