zeus: a PYTHON implementation of ensemble slice sampling for efficient Bayesian parameter inference
Abstract
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 hyperparameters 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.
- Publication:
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Monthly Notices of the Royal Astronomical Society
- Pub Date:
- December 2021
- DOI:
- arXiv:
- arXiv:2105.03468
- Bibcode:
- 2021MNRAS.508.3589K
- Keywords:
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- methods: data analysis;
- methods: statistical;
- techniques: radial velocities;
- cosmology: large-scale structure of Universe;
- Astrophysics - Instrumentation and Methods for Astrophysics;
- Astrophysics - Cosmology and Nongalactic Astrophysics;
- Astrophysics - Earth and Planetary Astrophysics;
- Physics - Computational Physics
- E-Print:
- 15 pages, 17 figures, 2 tables, published in MNRAS