Table 1.
Comparison of External Indices.
Table 2.
Comparison of Internal Indices.
Table 3.
Comparison of Relative Indices.
Figure 1.
Workflow of model checking.
Figure 2.
Program graph for the execution of K-Means.
Figure 3.
Program graph for the execution of DBSCAN.
Figure 4.
State transition diagram for the execution of K-Means on bankdata dataset.
Figure 5.
A simplified transition system of Figure S4 with atomic propositions.
Figure 6.
The procedure of the formal verifying method.
Table 4.
Experiment datasets.
Figure 7.
Comparison of Clustering Results for evaluation indices.
K-Means results are shown in Line 1, DBSCAN results are shown in Line 2, Line 3 indicates the results of BIRCH and Line 4 indicates the results of SOM. The dataset labels are the same as Table 1.
Table 5.
Evaluation results of external indices.
Table 6.
Confusion matrix of K-Means clustering results on dataset 6.
Table 7.
Evaluation results of relative indices.
Figure 8.
Changes of index values with iterations in executions of clustering algorithms.
Every sub graph indicates one dataset. The dataset labels are also the same as Table 1.
Figure 9.
Evaluation accuracy comparison of external indices and our method.
Table 8.
Evaluation results of the formal verification algorithm.
Figure 10.
Distribution of checked objects.
Figure 11.
Detected accuracy of our method.
The dataset labels are also the same as Table 1.