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Diagonal: marginal histograms of MCMC samples after postprocessing. Off dia...
Published Online: May 13, 2024
Fig. 1 Diagonal: marginal histograms of MCMC samples after postprocessing. Off diagonal: correlation between samples. The marginal histograms show all the parameters are roughly normally distributed. The scatter plots show that most of the parameters are uncorrelated, except for negative correlati... More about this image found in Diagonal: marginal histograms of MCMC samples after postprocessing. Off dia...
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Hugoniot data with EOS model evaluated using model parameter sets correspon...
Published Online: May 13, 2024
Fig. 2 Hugoniot data with EOS model evaluated using model parameter sets corresponding to the mode of the prior and posterior distributions. Data points from the four Hugoniot experiments (gray shape markers) are shown with the assumed 10% experimental uncertainty (gray error bars). The black line... More about this image found in Hugoniot data with EOS model evaluated using model parameter sets correspon...
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Correlation matrices. Dark blue indicates strong positive correlation and d...
Published Online: May 13, 2024
Fig. 4 Correlation matrices. Dark blue indicates strong positive correlation and dark red is strong negative correlation. ( a ) MCMC, ( b ) variational Bayesian, ( c ) SQP, and ( d ) is the common color bar for all three plots and should not have an identifier. More about this image found in Correlation matrices. Dark blue indicates strong positive correlation and d...
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Marginal uncertainty on each parameter–posterior standard deviation normali...
Published Online: May 13, 2024
Fig. 5 Marginal uncertainty on each parameter–posterior standard deviation normalized by the prior parameter value. The MCMC uncertainties are shown in purple, the variational Bayesian uncertainties are shown in green, and the SQP uncertainties in orange. More about this image found in Marginal uncertainty on each parameter–posterior standard deviation normali...
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Comparison of eigenvalues from spectral decomposition. The MCMC eigenvalues...
Published Online: May 13, 2024
Fig. 6 Comparison of eigenvalues from spectral decomposition. The MCMC eigenvalues are shown in purple, the variational Bayesian eigenvalues are shown in green, and the SQP eigenvalues in orange. More about this image found in Comparison of eigenvalues from spectral decomposition. The MCMC eigenvalues...
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Independent samples from the MCMC chains after the burn-in period showing g...
Published Online: May 13, 2024
Fig. 7 Independent samples from the MCMC chains after the burn-in period showing good mixing within and between chains. Each color represents a different chain: ( a ) A , ( b ) B , ( c ) C , ( d ) Γ, ( e ) C v , and ( f ) α st . More about this image found in Independent samples from the MCMC chains after the burn-in period showing g...
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Absolute value of the first four eigenvectors from spectral decomposition. ...
Published Online: May 13, 2024
Fig. 8 Absolute value of the first four eigenvectors from spectral decomposition. The MCMC eigenvectors are shown in purple, the Variational Bayesian eigenvectors are shown in green, and the SQP eigenvectors in orange: ( a )eigenvector 1, ( b ) eigenvector 2, ( c ) eigenvector 3, and ( d ) eigenve... More about this image found in Absolute value of the first four eigenvectors from spectral decomposition. ...
Journal Articles
Journal Articles
Journal Articles
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