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distance, we applied agglomerative hierarchical clustering with complete linkage on
the synthetic dataset.
Figure 12.4 illustrates the generated hierarchical cluster trees for both examined
distance measures on the synthetic time series. The first observation to be made is
that RRR perfectly recovers the cluster structure provided by the ground truth, given
(a)
Wave01
YoYo01
Peak01
YoYo03
Wave03
YoYo02
YoYo01
Wave01
YoYo03
Wave03
Peak03
Wave02
Wave02
Peak01
Peak02
Peak02
YoYo02
Peak03
1.9
2
2.1
0.7
0.8
0.9
DTW
RRR
(b)
2xWave03
2xYoYo01
2xYoYo03
2xYoYo03
2xPeak03
2xYoYo02
2xWave01
2xWave01
2xYoYo01
2xWave03
2xPeak01
2xWave02
2xWave02
2xPeak01
2xPeak02
2xPeak02
2xPeak03
2xYoYo02
1.6
1.8
2
2.2
2.4
0.2
0.4
0.6
0.8
DTW
RRR
Fig. 12.4 Cluster tree (dendrogram) of univariate a and multivariate b synthetic time series (intro-
duced in Fig. 12.3 ) according to the DTWand RRR distance. The x-axis reveals the distance between
the time series being merged and the y-axis illustrates the corresponding name and shape of the
time series
 
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