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Siddharth Mishra-Sharma committed Sep 4, 2019
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Expand Up @@ -445,7 +445,7 @@ \section{Results}
\hspace*{0.075\textwidth}%
\includegraphics[height=0.4\textwidth]{figures/shmf}%
\hspace*{0.052\textwidth}%
\caption{Left: Expected posterior and $95\%$ credible region on subhalo mass function parameters for 100 observed lenses. The mock observations are generated for $\fsub = 0.05$ and $\beta = -0.9$. We assume a uniform prior on $\fsub$ and a Gaussian prior with mean $-0.9$ and standard deviation $0.1$ for $\beta$. \nblink{5_Bayesian_inference} Right: Corresponding inferred subhalo mass function, marginalized over the host halo properties. We show the point-wise mean (solid line) as well as point-wise 68\,/\,95\% credible intervals (cyan\,/\,blue bands) of the subhalo mass function per host halo mass. The true simulated subhalo mass function for $\fsub = 0.05$ and $\beta = -0.9$ is shown as the dotted line. The \emph{play} icon next to this caption links to an animation showing the evolution of the substructure parameter and mass function posteriors as the number of lenses analyzed is increased. \nblink{5_posterior_SHMF} \animlink{live_inference_with_images_reverse_small}}
\caption{Left: Expected posterior and $95\%$ credible region on subhalo mass function parameters for 100 observed lenses. The mock observations are generated for $\fsub = 0.05$ and $\beta = -0.9$. We assume a uniform prior on $\fsub$ and a Gaussian prior with mean $-0.9$ and standard deviation $0.1$ for $\beta$. \nblink{5_Bayesian_inference} Right: Corresponding inferred subhalo mass function, marginalized over the host halo properties. We show the point-wise mean (solid line) as well as point-wise 68\,/\,95\% credible intervals (cyan\,/\,blue bands) of the subhalo mass function per host halo mass. The true simulated subhalo mass function for $\fsub = 0.05$ and $\beta = -0.9$ is shown as the dotted line. An animation showing the evolution of the substructure parameter and mass function posteriors as the number of lenses analyzed is increased can be found at \animlink{live_inference_with_images_reverse_small}. \nblink{5_posterior_SHMF}}
\label{fig:bayesian_post}
\end{figure*}

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