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zeus: A Python implementation of Ensemble Slice Sampling for efficient Bayesian parameter inference

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arxiv 2105.03468 v2 pith:EVH57W6X submitted 2021-05-07 astro-ph.IM astro-ph.COastro-ph.EPphysics.comp-ph

zeus: A Python implementation of Ensemble Slice Sampling for efficient Bayesian parameter inference

classification astro-ph.IM astro-ph.COastro-ph.EPphysics.comp-ph
keywords methodzeusbayesiancorrelationscosmologicalensembleevenhigh
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce zeus, a well-tested Python implementation of the Ensemble Slice Sampling (ESS) method for Bayesian parameter inference. ESS is a novel Markov chain Monte Carlo (MCMC) algorithm specifically designed to tackle the computational challenges posed by modern astronomical and cosmological analyses. In particular, the method requires only minimal hand--tuning of 1-2 hyper-parameters that are often trivial to set; its performance is insensitive to linear correlations and it can scale up to 1000s of CPUs without any extra effort. Furthermore, its locally adaptive nature allows to sample efficiently even when strong non-linear correlations are present. Lastly, the method achieves a high performance even in strongly multimodal distributions in high dimensions. Compared to emcee, a popular MCMC sampler, zeus performs 9 and 29 times better in a cosmological and an exoplanet application respectively.

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