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**Python package to efficiently compute the learnt harmonic mean estimator of the Bayesian evidence**
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``harmonic`` is an open source, well tested and documented Python implementation of the *learnt harmonic mean estimator* (`McEwen et al. 2021 <TBC>`_) to compute the marginal likelihood (Bayesian evidence), required for Bayesian model selection.
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``harmonic`` is an open source, well tested and documented Python implementation of the *learnt harmonic mean estimator* (`McEwen et al. 2021 <https://arxiv.org/abs/2111.12720>`_) to compute the marginal likelihood (Bayesian evidence), required for Bayesian model selection.
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While ``harmonic`` requires only posterior samples, and so is agnostic to the technique used to perform Markov chain Monte Carlo (MCMC) sampling, ``harmonic`` works exceptionally well with MCMC sampling techniques that naturally provide samples from multiple chains by their ensemble nature, such as affine invariant ensemble samplers. We therefore advocate use of `harmonic` with the popular `emcee <https://github.com/dfm/emcee>`_ code implementing the affine invariant sampler of `Goodman & Weare (2010) <https://cims.nyu.edu/~weare/papers/d13.pdf>`_.
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@@ -33,17 +33,20 @@ Documentation
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Comprehensive `documentation for harmonic <https://astro-informatics.github.io/harmonic/>`_ is available.
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Please cite `McEwen et al. (2021) <TBC>`_ if this code package has been of use in your project.
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Attribution
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-----------
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Please cite `McEwen et al. (2021) <https://arxiv.org/abs/2111.12720>`_ if this code package has been of use in your project.
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A BibTeX entry for the paper is:
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.. code-block::
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@article{harmonic,
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author = {Jason~D.~McEwen and Christopher~G.~R.~Wallis and Matthew~A.~Price and Matthew~M.~Docherty},
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title = {Machine learning assisted Bayesian model comparison: learnt harmonic mean estimator},
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title = {Machine learning assisted {B}ayesian model comparison: learnt harmonic mean estimator},
``harmonic`` is an open source, well tested and documented Python implementation of the *learnt harmonic mean estimator* (`McEwen et al. 2021 <TBC>`_) to compute the marginal likelihood (Bayesian evidence), required for Bayesian model selection.
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``harmonic`` is an open source, well tested and documented Python implementation of the *learnt harmonic mean estimator* (`McEwen et al. 2021 <https://arxiv.org/abs/2111.12720>`_) to compute the marginal likelihood (Bayesian evidence), required for Bayesian model selection.
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While ``harmonic`` requires only posterior samples, and so is agnostic to the technique used to perform Markov chain Monte Carlo (MCMC) sampling, ``harmonic`` works exceptionally well with MCMC sampling techniques that naturally provide samples from multiple chains by their ensemble nature, such as affine invariant ensemble samplers. We therefore advocate use of `harmonic` with the popular `emcee <https://github.com/dfm/emcee>`_ code implementing the affine invariant sampler of `Goodman & Weare (2010) <https://cims.nyu.edu/~weare/papers/d13.pdf>`_.
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@@ -75,17 +75,17 @@ Contributors
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Attribution
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===========
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Please cite `McEwen et al. (2021) <TBC>`_ if this code package has been of use in your project.
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Please cite `McEwen et al. (2021) <https://arxiv.org/abs/2111.12720>`_ if this code package has been of use in your project.
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A BibTeX entry for the paper is:
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.. code-block::
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@article{harmonic,
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author = {Jason~D.~McEwen and Christopher~G.~R.~Wallis and Matthew~A.~Price and Matthew~M.~Docherty},
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title = {Machine learning assisted Bayesian model comparison: learnt harmonic mean estimator},
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title = {Machine learning assisted {B}ayesian model comparison: learnt harmonic mean estimator},
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