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We optimise the parameters of the Population Monte Carlo algorithm using numerical simulations. The optimisation is based on an efficiency statistic related to the number of samples evaluated prior to convergence, and is applied to a D ‐dimensional Gaussian distribution to derive optimal scaling laws for the algorithm parameters. More complex distributions such as the banana and bimodal distributions are also studied. We apply these results to a cosmological parameter estimation problem that uses CMB anisotropy data from the WMAP nine‐year release to constrain a six parameter adiabatic model and a fifteen parameter admixture model, consisting of correlated adiabatic and isocurvature perturbations. In the case of the adiabatic model and the admixture model we find that the number of sample points increase by factors of 3 and 20, respectively, relative to the optimal Gaussian case. This is due to degeneracies in the underlying parameter space. The WMAP nine‐year data constrain the admixture model to have an isocurvature fraction of 36.3 ± 2.8 %. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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A. Torres-Rodríguez C. M. Cress K. Moodley 《Monthly notices of the Royal Astronomical Society》2008,388(2):669-676
An interesting probe of the nature of dark energy is the measure of its sound speed, c s . We review the significance for constraining sound speed models of dark energy using large neutral hydrogen (H i ) surveys with the square kilometre array (SKA). Our analysis considers the effect on the sound speed measurement that arises from the covariance of c s with the dark energy density, Ωde , and a time-varying equation of state, w ( a ) = w 0 + (1 − a ) w a . We find that the approximate degeneracy between dark energy parameters that arises in power spectrum observations is lifted through redshift tomography of the H i -galaxy angular power spectrum, resulting in sound speed constraints that are not severely degraded. The cross-correlation of the galaxy and the integrated Sachs Wolfe (ISW) effect spectra contributes approximately 10 per cent of the information that is needed to distinguish variations in the dark energy parameters, and most of the discriminating signal comes from the galaxy auto-correlation spectrum. We also find that the sound speed constraints are weakly sensitive to the H i bias model. These constraints do not improve substantially for a significantly deeper H i survey since most of the clustering sensitivity to sound speed variations arises from z ≲ 1.5 . A detection of models with sound speeds close to zero, c s ≲ 0.01, is possible for dark energy models with w ≳−0.9 . 相似文献
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什么变量控制着海相沉积物中的有机质(OM)保存是当今生物地球化学研究中的一个最复杂和有争议的问题(Hedges等,1999),使均变论的应用复杂化,即不能简单地用现在的现象去解释过去。具体说,氧化作用在形成富有机碳古沉积物(如地中海腐泥)中扮演一个什么角色一直是人们争论的问题。实验室试验研究了氧对现代沉积物OM降解的影响,研究中主要使用了富碳的海岸沉积物,揭示了除最具反应性的部分之外,在缺氧情况下OM降解过程明显缓慢。然而,在氧化性好、有机质缺乏的深海沉积物中可能有不同的趋势,现在我们仍需要弄清在地质年代中是否缺氧条件增强… 相似文献
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Fast and reliable Markov chain Monte Carlo technique for cosmological parameter estimation 总被引：1，自引：0，他引：1
Joanna Dunkley Martin Bucher Pedro G. Ferreira Kavilan Moodley Constantinos Skordis 《Monthly notices of the Royal Astronomical Society》2005,356(3):925-936
Markov chain Monte Carlo (MCMC) techniques are now widely used for cosmological parameter estimation. Chains are generated to sample the posterior probability distribution obtained following the Bayesian approach. An important issue is how to optimize the efficiency of such sampling and how to diagnose whether a finite-length chain has adequately sampled the underlying posterior probability distribution. We show how the power spectrum of a single such finite chain may be used as a convergence diagnostic by means of a fitting function, and discuss strategies for optimizing the distribution for the proposed steps. The methods developed are applied to current cosmic microwave background and large-scale structure data interpreted using both a pure adiabatic cosmological model and a mixed adiabatic/isocurvature cosmological model including possible correlations between modes. For the latter application, because of the increased dimensionality and the presence of degeneracies, the need for tuning MCMC methods for maximum efficiency becomes particularly acute. 相似文献
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The u Mhlatuzana, u Mbilo and a Manzimnyama river catchments located on the eastern seaboard of the Kwa Zulu-Natal province, South Africa, form the core of urbanization and industrialization, contributing the only natural freshwater inflows to the Bayhead Canal portion of the Durban Harbour. In this study, seasonal discharges and physico–chemical water properties were used to quantitatively determine the material mass transport capacity of the river systems on the basis of hydrographic inputs and chemical loading from the surrounding land use sectors.The mass transport of the total dissolved solids（TDS）,ammonia（NH4）, phosphorous（P）, aluminum（Al）, calcium（Ca）, copper（Cu）, chromium（Cr）, mercury（Hg）, potassium（K）, magnesium（Mg）, sodium（Na）, nickel（Ni）, lead（Pb）, sulphur（S） and vanadium（V） was determined for each river. Results indicated that land use, seasonality and river flow were significant determinants for the material loading in the rivers and the receiving port waters. The spatio-temporal distribution patterns of chemical fluxes indicated that industrial activity associated with the a Manzimnyama canal contributed the most, with regards to TDS, NH4, Ca, K, Mg, Na, S and V, loading in both wet and dry seasons, as well as Al, Cu, Hg and Pb during the dry season. Similarly, industrial activity associated with the u Mbilo/u Mhlatuzana Canal at the lower reaches accounted for the highest P, Al, Cu and Pb fluxes in the wet season alone. Fluxes of these parameters are used to explain theobserved elemental concentrations and patterns of the receiving port waters of the Bayhead Canal. 相似文献
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