The Pmc sampler

Adaptive Importance Sampling

Name

pmc

Version

1.0

Author(s)

CosmoSIS Team

URL

https://bitbucket.org/joezuntz/cosmosis

Citation(s)

MNRAS 405.4 2381-2390 (2010)

Parallelism

embarrassing

Population Monte-Carlo uses importance sampling with an initial distribution that is gradually adapted as more samples are taken and their likelihood found.

At each iteration some specified number of samples are drawn from a mixed Gaussian distribution. Their posteriors are then evaluated and importance weights calculated. This approximate distribution is then used to update the Gaussian mixture model so that it more closely mirrors the underlying distribution.

Components are dropped if they are found not to be necessary.

This is a python re-implementation of the CosmoPMC alogorithm in the cited paper.

Installation

No special installation required; everything is packaged with CosmoSIS

Parameters

These parameters can be set in the sampler’s section in the ini parameter file. If no default is specified then the parameter is required. A listing of “(empty)” means a blank string is the default.

Name

Type

Description

Default

iterations

integer

Number of iterations (importance updates) of PMC

30

components

integer

Number of components in the Gaussian mixture

5

samples_per_iteration

integer

Number of samples per iteration of PMC

1000

final_samples

integer

Samples to take after the updating of the mixture is complete

5000

student

boolean

Do not use this. It is a not yet functional attempt to use a Student t mixture.

F

nu

float

Do not use this. It is the nu parameter for the non-function Student t mode.

2.0