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Likelihood-free Inference with the Mixture Density Network
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DOI：10.3847/1538-4365/ac7da1.png)
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摘要
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In this work, we propose using the mixture density network (MDN) to estimate cosmological parameters. We test the MDN method by constraining parameters of the ?CDM and wCDM models using Type Ia supernovae and the power spectra of the cosmic microwave background. We find that the MDN method can achieve the same level of accuracy as the Markov Chain Monte Carlo method, with a slight difference of O(10(-2)sigma). Furthermore, the MDN method can provide accurate parameter estimates with O(10(3)) forward simulation samples, which are useful for complex and resource-consuming cosmological models. This method can process either one data set or multiple data sets to achieve joint constraints on parameters, extendable for any parameter estimation of complicated models in a wider scientific field. Thus, the MDN provides an alternative way for likelihood-free inference of parameters. Unified Astronomy Thesaurus concepts: Cosmological parameters (339); Observational cosmology (1146); Computational methods (1965); Astronomy data analysis (1858); Neural networks (1933)
Keyword:
STRONG GRAVITATIONAL LENSES
KILO-DEGREE SURVEY
REIONIZATION
PARAMETERS
SIMULATIONS
SIGNAL
期刊
IF:
8.5
论文数:
5.7K
被引数:
4.2W
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