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Label Switching Problem in Bayesian Analysis for Gravitational Wave Astronomy

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arxiv 1907.11631 v2 pith:KEW3YCAX submitted 2019-07-26 astro-ph.IM

Riccardo Buscicchio , Elinore Roebber , Janna M. Goldstein , Christopher J. Moore This is my paper · ORCID
classification astro-ph.IM
keywords parametersproblemanalysisastronomybayesiangravitationallabelmodels
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The label switching problem arises in the Bayesian analysis of models containing multiple indistinguishable parameters with arbitrary ordering. Any permutation of these parameters is equivalent, therefore models with many such parameters have extremely multi-modal posterior distributions. It is difficult to sample efficiently from such posteriors. This paper discusses a solution to this problem which involves carefully mapping the input parameter space to a high dimensional hypertriangle. It is demonstrated that this solution is efficient even for large numbers of parameters and can be easily applied alongside any stochastic sampling algorithm. This method is illustrated using two example problems from the field of gravitational wave astronomy.

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Cited by 3 Pith papers

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  3. Bayesian inflationary reconstructions from Planck 2018 data

    astro-ph.CO 2019-08 conditional novelty 4.0 of 10

    Flexible Bayesian reconstructions of Planck 2018 data confirm a power-law primordial spectrum on 50<ell<2000 and leave low-ell oscillation hints statistically insignificant.

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