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\appendix
\section{Clustering evaluation}
Figure X shows different ways of assigning ISCCP observations and ISCCP simulations to cloud regimes (clusters).
We evaluate methods of assigning individual ISCCP-style histograms to cloud regimes (cluster centroids):
\begin{itemize}
\item Using the Euclidean distance between full (42-element) CTP-$\tau$ joint histogram of cloud-top properties
\item Simplifying the CTP-$\tau$ histograms into histogram means: $\left(\overline{\alpha}, \overline{CTP}, TCC\right)$
\end{itemize}
We observe: