SCoPE: an efficient method of Cosmological Parameter Estimation

Das, Santanu; Souradeep, Tarun

doi:10.1088/1475-7516/2014/07/018

Title: SCoPE: an efficient method of Cosmological Parameter Estimation

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Abstract

Markov Chain Monte Carlo (MCMC) sampler is widely used for cosmological parameter estimation from CMB and other data. However, due to the intrinsic serial nature of the MCMC sampler, convergence is often very slow. Here we present a fast and independently written Monte Carlo method for cosmological parameter estimation named as Slick Cosmological Parameter Estimator (SCoPE), that employs delayed rejection to increase the acceptance rate of a chain, and pre-fetching that helps an individual chain to run on parallel CPUs. An inter-chain covariance update is also incorporated to prevent clustering of the chains allowing faster and better mixing of the chains. We use an adaptive method for covariance calculation to calculate and update the covariance automatically as the chains progress. Our analysis shows that the acceptance probability of each step in SCoPE is more than 95% and the convergence of the chains are faster. Using SCoPE, we carry out some cosmological parameter estimations with different cosmological models using WMAP-9 and Planck results. One of the current research interests in cosmology is quantifying the nature of dark energy. We analyze the cosmological parameters from two illustrative commonly used parameterisations of dark energy models. We also asses primordial helium fraction in themore »« less

Authors:

Das, Santanu; Souradeep, Tarun ^[1]

Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune 411007 (India)

Publication Date:: Tue Jul 01 00:00:00 EDT 2014

OSTI Identifier:: 22373469

Resource Type:: Journal Article

Journal Name:: Journal of Cosmology and Astroparticle Physics

Additional Journal Information:: Journal Volume: 2014; Journal Issue: 07; Other Information: Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1475-7516

Country of Publication:: United States

Language:: English

Subject:: 79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; CONVERGENCE; COSMOLOGICAL MODELS; COSMOLOGY; HELIUM; MARKOV PROCESS; MONTE CARLO METHOD; NONLUMINOUS MATTER; PROBABILITY; SAMPLERS; UNIVERSE

Citation Formats


                    Das, Santanu, and Souradeep, Tarun. SCoPE: an efficient method of Cosmological Parameter Estimation.  United States: N. p., 2014. 
        Web.  doi:10.1088/1475-7516/2014/07/018.

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                    Das, Santanu, & Souradeep, Tarun. SCoPE: an efficient method of Cosmological Parameter Estimation.  United States.  https://doi.org/10.1088/1475-7516/2014/07/018

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                    Das, Santanu, and Souradeep, Tarun. 2014.  
        "SCoPE: an efficient method of Cosmological Parameter Estimation".  United States.  https://doi.org/10.1088/1475-7516/2014/07/018.

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@article{osti_22373469,

  title        = {SCoPE: an efficient method of Cosmological Parameter Estimation},

  author       = {Das, Santanu and Souradeep, Tarun},

  abstractNote = {Markov Chain Monte Carlo (MCMC) sampler is widely used for cosmological parameter estimation from CMB and other data. However, due to the intrinsic serial nature of the MCMC sampler, convergence is often very slow. Here we present a fast and independently written Monte Carlo method for cosmological parameter estimation named as Slick Cosmological Parameter Estimator (SCoPE), that employs delayed rejection to increase the acceptance rate of a chain, and pre-fetching that helps an individual chain to run on parallel CPUs. An inter-chain covariance update is also incorporated to prevent clustering of the chains allowing faster and better mixing of the chains. We use an adaptive method for covariance calculation to calculate and update the covariance automatically as the chains progress. Our analysis shows that the acceptance probability of each step in SCoPE is more than 95% and the convergence of the chains are faster. Using SCoPE, we carry out some cosmological parameter estimations with different cosmological models using WMAP-9 and Planck results. One of the current research interests in cosmology is quantifying the nature of dark energy. We analyze the cosmological parameters from two illustrative commonly used parameterisations of dark energy models. We also asses primordial helium fraction in the universe can be constrained by the present CMB data from WMAP-9 and Planck. The results from our MCMC analysis on the one hand helps us to understand the workability of the SCoPE better, on the other hand it provides a completely independent estimation of cosmological parameters from WMAP-9 and Planck data.},

  doi          = {10.1088/1475-7516/2014/07/018},

  url          = {https://www.osti.gov/biblio/22373469},
  journal      = {Journal of Cosmology and Astroparticle Physics},

  issn         = {1475-7516},

  number       = 07,

  volume       = 2014,

  place        = {United States},

  year         = {Tue Jul 01 00:00:00 EDT 2014},

  month        = {Tue Jul 01 00:00:00 EDT 2014}

}

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