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Update paper.md
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minor change of spacing around an equation
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davidhowey authored Apr 25, 2024
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Expand Up @@ -97,6 +97,7 @@ Using this distance matrix, $D$, the full set of time series can be split into $
![Example clustering matrix, where an entry of 1 indicates that time series $j$ belongs to the cluster with centroid $i$. \label{fig:A_matrix}](../media/cluster_matrix_formation4.svg){ width=70% }

As each centroid has to be in its own cluster, non-zero diagonal entries in $A$ represent centroids. Our objective is then to find the matrix $A$, and this may be formulated as an optimisation problem

\begin{equation}
A^\star = \min_{A} \sum_i \sum_j D_{ij} \times A_{ij},
\end{equation}
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