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2012

CosmoHammer: Cosmological parameter estimation with the MCMC Hammer

Akeret, Joël, Seehars, Sebastian, Amara, Adam et al.

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We study the benefits and limits of parallelised Markov chain Monte Carlo (MCMC) sampling in cosmology.

MCMC methods are widely used for the estimation of cosmological parameters from a given set of observations and are typically based on the Metropolis-Hastings algorithm.
Some of the required calculations can however be computationally intensive, meaning that a single long chain can take several hours or days to calculate.
In practice, this can be limiting, since the MCMC process needs to be performed many times to test the impact of possible systematics and to understand the robustness of the measurements being made.

CosmoHammer: Cosmological parameter estimation with the MCMC Hammer · Around

Built on

Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., Teller, E., 1953. Equation of State Calculations by Fast Computing Machines. J. Chem. Phys. 21 (6), 1087
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Hastings, W. K., Apr. 1970. Monte Carlo sampling methods using Markov chains and their applications. Biometrika 57 (1), 97
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Sokal, A. D., 1989. Monte carlo methods in statistical mechanics: Foundations and new algorithms. Cours de Troisième Cycle de la Physique en Suisse Romande
1989
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Lewis, A., Challinor, A., Lasenby, A., Aug. 2000. Efficient Computation of Cosmic Microwave Background Anisotropies in Closed Friedmann-Robertson-Walker Models. Astrophys. J. 538 (2), 473
2000
Earlier work this paper cites.
Christensen, N., Meyer, R., Knox, L., Luey, B., Jul. 2001. Bayesian methods for cosmological parameter estimation from cosmic microwave background measurements. Class. Quant. Grav. 18 (14), 2677
2001
Earlier work this paper cites.

Similar

Knox, L., Christensen, N., Skordis, C., Dec. 2001. The Age of the Universe and the Cosmological Constant Determined from Cosmic Microwave Background Anisotropy Measurements. Astrophys. J. 563 (2), L95
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MacKay, D., 2003. Information theory, inference, and learning algorithms. Cambridge University Press, New York, NY, USA
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Tegmark, M., Strauss, M. A., Blanton, M. R., Abazajian, K., Dodelson, S., Sandvik, H., Wang, X., Weinberg, D. H., Zehavi, I., Bahcall, N. A., Hoyle, F., Schlegel, D., Scoccimarro, R., Vogeley, M. S., Berlind, A., Budavari, T., Connolly, A., Eisenstein, D. J., Finkbeiner, D., Frieman, J. A., Gunn, J. E., Hui, L., Jain, B., Johnston, D., Kent, S., Lin, H., Nakajima, R., Nichol, R. C., Ostriker, J. P., Pope, A., Scranton, R., Seljak, U. c. v., Sheth, R. K., Stebbins, A., Szalay, A. S., Szapudi, I., Xu, Y., Annis, J., Brinkmann, J., Burles, S., Castander, F. J., Csabai, I., Loveday, J., Doi, M., Fukugita, M., Gillespie, B., Hennessy, G., Hogg, D. W., Ivezić, i. c. v., Knapp, G. R., Lamb, D. Q., Lee, B. C., Lupton, R. H., McKay, T. A., Kunszt, P., Munn, J. A., O’Connell, L., Peoples, J., Pier, J. R., Richmond, M., Rockosi, C., Schneider, D. P., Stoughton, C., Tucker, D. L., Vanden Berk, D. E., Yanny, B., York, D. G., May 2004. Cosmological parameters from SDSS and WMAP. Phys. Rev. D 69 (10), 103501

Then

Goodman, J., Weare, J., Jan. 2010. Ensemble samplers with affine invariance. Comm. App. Math. Comp. Sci. 5 (1), 65
2010
Later among the works it cites.
Komatsu, E., Smith, K. M., Dunkley, J., Bennett, C. L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Nolta, M. R., Page, L., Spergel, D. N., Halpern, M., Hill, R. S., Kogut, A., Limon, M., Meyer, S. S., Odegard, N., Tucker, G. S., Weiland, J. L., Wollack, E., Wright, E. L., Feb. 2011. Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation. Astrophys. J. Suppl. Ser 192 (2), 18
2011
Later among the works it cites.
Larson, D., Dunkley, J., Hinshaw, G., Komatsu, E., Nolta, M. R., Bennett, C. L., Gold, B., Halpern, M., Hill, R. S., Jarosik, N., Kogut, A., Limon, M., Meyer, S. S., Odegard, N., Page, L., Smith, K. M., Spergel, D. N., Tucker, G. S., Weiland, J. L., Wollack, E., Wright, E. L., Feb. 2011. Seven-year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-derived Parameters. Astrophys. J. Suppl. Ser 192 (2), 16
2011
Later among the works it cites.

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2004

Cited alongside, same era.

Dunkley, J., Komatsu, E., Nolta, M. R., Spergel, D. N., Larson, D., Hinshaw, G., Page, L., Bennett, C. L., Gold, B., Jarosik, N., Weiland, J. L., Halpern, M., Hill, R. S., Kogut, A., Limon, M., Meyer, S. S., Tucker, G. S., Wollack, E., Wright, E. L., Feb. 2009. Five-Year Wilkinson Microwave Anisotropy Probe Observations: Likelihoods and Parameters from the WMAP Data. Astrophys. J. Suppl. Ser 180 (2), 306

2009

Cited alongside, same era.

Foreman-Mackey, D., Hogg, D. W., Lang, D., Goodman, J., Feb. 2012. emcee: The MCMC Hammer

2012

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