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This is a point I hinted at in my paper with Courtney Donovan - there are phase changes in the shape of the likelihood function which make annealing unreliable. Therefore Nested Sampling is required to evaluate marginal likelihoods.
I can write a sentence or two if you like.
The text was updated successfully, but these errors were encountered:
I wrote this, also trying to respond to #24. Feel free to edit or add something if you want.
Unlike similar open-source packages, kima calculates the fully marginalized likelihood, or
evidence, both for a model with a fixed number Np of Keplerian signals, or marginalising
over Np . For this latter task, Np itself is a free parameter and we sample from its posterior
distribution using the trans-dimensional method proposed by Brewer (2014). Because
kima uses the Diffusive Nested Sampling algorithm, the evidence values are still accurate
when the likelihood function contains phase changes which would make other algorithms
(such as thermodynamic integration) unreliable.
This is a point I hinted at in my paper with Courtney Donovan - there are phase changes in the shape of the likelihood function which make annealing unreliable. Therefore Nested Sampling is required to evaluate marginal likelihoods.
I can write a sentence or two if you like.
The text was updated successfully, but these errors were encountered: