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Table 3

Results for kNN classification.

With equal priors
Absolute
bhb other
BHB 1008 235
OTHER 347 871
Percentage
BHB 81.09 18.91
OTHER 28.49 71.51
Completeness Contamination
BHB 0.811 0.422

With simple prior
Absolute
bhb other
BHB 743 500
OTHER 245 973
Percentage
BHB 59.77 40.23
OTHER 20.11 79.89
Completeness Contamination
BHB 0.598 0.412

With 2d prior
Absolute
bhb other
BHB 920 323
OTHER 264 954
Percentage
BHB 74.01 25.99
OTHER 21.67 78.33
Completeness Contamination
BHB 0.740 0.378

Notes. Top section: confusion matrix showing the results of kNN classification (k = 15) with threshold P(BHB) > 0.5. This is the combined result of ten independent classifications with resampling of the training and testing sets. The rows show the true class (according to Xue et al.), the columns show the classifier output class. When shown as percentages, the quantities in the rows should add to 100%, but the quantities in the columns in general do not. The completeness and contamination are also shown – and the contamination is corrected for the class imbalance using the simple prior. Middle section: the same confusion matrix, with output probabilities corrected for the simple prior. Bottom section: the results with output probabilities corrected for the prior probability as function of g magnitude and galactic latitude.

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