Waveform (version#09)
This dataset represents 3 classes of waves. Class 0 was defined here as an outlier class and downsampled to 100 objects. After preprocessing, this database has 21 numeric attributes and 3443 instances, divided into 100 outliers (2.9%) and 3343 inliers (97.1%) [1].
References:
[1] A. Zimek, M. Gaudet, R. J. G. B. Campello, and J. Sander. Subsampling for efficient and effective unsupervised outlier detection ensembles. In Proc. KDD, pages 428-436, 2013.
Download all data set variants used (5.1 MB). You can also access the original data. (waveform.data.Z)
Normalized, without duplicates
This version contains 21 attributes, 3443 objects, 100 outliers (2.90%)
Download raw algorithm results (30.2 MB) Download raw algorithm evaluation table (65.1 kB)
Best Parameters
The following table contains the best
(overall and per-method)
results for each method and evaluation measure (when the same score was achieved twice, only the smallest k is given).
The Maximum F1-Measure is complimentary in addition to the measures in the original publication.
Algorithm | k | P@n | Adj. P@n | AP | Adj. AP | Max-F1 | Adj. MF1 | ROC AUC |
---|---|---|---|---|---|---|---|---|
KNN | 22 | 0.24000 | 0.21727 | 0.15074 | 0.12534 | 0.24000 | 0.21727 | 0.76956 |
KNN | 72 | 0.24000 | 0.21727 | 0.17911 | 0.15456 | 0.26282 | 0.24077 | 0.77910 |
KNN | 76 | 0.24000 | 0.21727 | 0.18106 | 0.15656 | 0.25705 | 0.23483 | 0.77948 |
KNN | 92 | 0.24000 | 0.21727 | 0.17975 | 0.15522 | 0.25545 | 0.23318 | 0.78221 |
KNNW | 79 | 0.25000 | 0.22757 | 0.16142 | 0.13634 | 0.25253 | 0.23017 | 0.77343 |
KNNW | 92 | 0.25000 | 0.22757 | 0.16339 | 0.13836 | 0.25381 | 0.23149 | 0.77462 |
KNNW | 100 | 0.25000 | 0.22757 | 0.16531 | 0.14034 | 0.25381 | 0.23149 | 0.77530 |
LOF | 89 | 0.19000 | 0.16577 | 0.13025 | 0.10423 | 0.23270 | 0.20975 | 0.76672 |
LOF | 99 | 0.19000 | 0.16577 | 0.13613 | 0.11029 | 0.23429 | 0.21138 | 0.76823 |
LOF | 100 | 0.19000 | 0.16577 | 0.13629 | 0.11045 | 0.23496 | 0.21207 | 0.76789 |
SimplifiedLOF | 73 | 0.14000 | 0.11427 | 0.08925 | 0.06201 | 0.19595 | 0.17189 | 0.73722 |
SimplifiedLOF | 94 | 0.16000 | 0.13487 | 0.09797 | 0.07098 | 0.18803 | 0.16375 | 0.74468 |
SimplifiedLOF | 100 | 0.16000 | 0.13487 | 0.10181 | 0.07494 | 0.19409 | 0.16999 | 0.74627 |
LoOP | 92 | 0.14000 | 0.11427 | 0.09044 | 0.06324 | 0.18773 | 0.16343 | 0.73876 |
LoOP | 97 | 0.15000 | 0.12457 | 0.09189 | 0.06472 | 0.18243 | 0.15798 | 0.73919 |
LoOP | 100 | 0.14000 | 0.11427 | 0.09326 | 0.06614 | 0.18367 | 0.15925 | 0.74030 |
LDOF | 6 | 0.09000 | 0.06278 | 0.04325 | 0.01463 | 0.09462 | 0.06754 | 0.60407 |
LDOF | 26 | 0.07000 | 0.04218 | 0.05460 | 0.02632 | 0.12698 | 0.10087 | 0.66234 |
LDOF | 98 | 0.09000 | 0.06278 | 0.05783 | 0.02965 | 0.10964 | 0.08301 | 0.69104 |
LDOF | 99 | 0.09000 | 0.06278 | 0.05770 | 0.02951 | 0.11060 | 0.08399 | 0.69157 |
ODIN | 14 | 0.08527 | 0.05791 | 0.04598 | 0.01744 | 0.09607 | 0.06903 | 0.62573 |
ODIN | 85 | 0.03737 | 0.00857 | 0.05326 | 0.02494 | 0.11881 | 0.09245 | 0.69757 |
ODIN | 100 | 0.03000 | 0.00098 | 0.05613 | 0.02790 | 0.11705 | 0.09064 | 0.70405 |
FastABOD | 7 | 0.08000 | 0.05248 | 0.04772 | 0.01923 | 0.10554 | 0.07878 | 0.63976 |
FastABOD | 14 | 0.05000 | 0.02158 | 0.05106 | 0.02267 | 0.11144 | 0.08486 | 0.67045 |
FastABOD | 16 | 0.05000 | 0.02158 | 0.05065 | 0.02225 | 0.11615 | 0.08971 | 0.66794 |
KDEOS | 7 | 0.06000 | 0.03188 | 0.04397 | 0.01537 | 0.07650 | 0.04888 | 0.56526 |
KDEOS | 17 | 0.08000 | 0.05248 | 0.04200 | 0.01334 | 0.09150 | 0.06433 | 0.57473 |
KDEOS | 18 | 0.07000 | 0.04218 | 0.04235 | 0.01371 | 0.09211 | 0.06495 | 0.57137 |
KDEOS | 100 | 0.03000 | 0.00098 | 0.03526 | 0.00640 | 0.07754 | 0.04994 | 0.60191 |
LDF | 16 | 0.30000 | 0.27906 | 0.23988 | 0.21714 | 0.30392 | 0.28310 | 0.76805 |
LDF | 24 | 0.27000 | 0.24816 | 0.25400 | 0.23168 | 0.33803 | 0.31823 | 0.77467 |
LDF | 33 | 0.28000 | 0.25846 | 0.26331 | 0.24128 | 0.31447 | 0.29396 | 0.78339 |
INFLO | 76 | 0.13000 | 0.10398 | 0.07361 | 0.04590 | 0.16216 | 0.13710 | 0.71908 |
INFLO | 77 | 0.12000 | 0.09368 | 0.07397 | 0.04627 | 0.16615 | 0.14121 | 0.71972 |
INFLO | 99 | 0.12000 | 0.09368 | 0.08141 | 0.05394 | 0.16099 | 0.13589 | 0.73192 |
INFLO | 100 | 0.12000 | 0.09368 | 0.08180 | 0.05434 | 0.15864 | 0.13347 | 0.73060 |
COF | 64 | 0.29000 | 0.26876 | 0.21769 | 0.19429 | 0.31206 | 0.29148 | 0.70862 |
COF | 82 | 0.27000 | 0.24816 | 0.25459 | 0.23229 | 0.35461 | 0.33530 | 0.71281 |
COF | 84 | 0.27000 | 0.24816 | 0.25928 | 0.23712 | 0.34848 | 0.32900 | 0.71781 |
COF | 87 | 0.27000 | 0.24816 | 0.25452 | 0.23222 | 0.35115 | 0.33174 | 0.72245 |
Plots
Not normalized, without duplicates
This version contains 21 attributes, 3443 objects, 100 outliers (2.90%)
Download raw algorithm results (30.2 MB) Download raw algorithm evaluation table (66.1 kB)
Best Parameters
The following table contains the best
(overall and per-method)
results for each method and evaluation measure (when the same score was achieved twice, only the smallest k is given).
The Maximum F1-Measure is complimentary in addition to the measures in the original publication.
Algorithm | k | P@n | Adj. P@n | AP | Adj. AP | Max-F1 | Adj. MF1 | ROC AUC |
---|---|---|---|---|---|---|---|---|
KNN | 35 | 0.29000 | 0.26876 | 0.22005 | 0.19672 | 0.29000 | 0.26876 | 0.78103 |
KNN | 96 | 0.26000 | 0.23786 | 0.25402 | 0.23171 | 0.31799 | 0.29759 | 0.79127 |
KNN | 99 | 0.26000 | 0.23786 | 0.25609 | 0.23383 | 0.31304 | 0.29249 | 0.79139 |
KNN | 100 | 0.26000 | 0.23786 | 0.25532 | 0.23304 | 0.31304 | 0.29249 | 0.79177 |
KNNW | 31 | 0.26000 | 0.23786 | 0.18261 | 0.15816 | 0.26906 | 0.24719 | 0.77666 |
KNNW | 94 | 0.25000 | 0.22757 | 0.22400 | 0.20079 | 0.28235 | 0.26089 | 0.78401 |
KNNW | 100 | 0.25000 | 0.22757 | 0.22500 | 0.20182 | 0.28030 | 0.25877 | 0.78438 |
LOF | 95 | 0.25000 | 0.22757 | 0.17211 | 0.14735 | 0.26056 | 0.23844 | 0.77819 |
LOF | 97 | 0.26000 | 0.23786 | 0.17377 | 0.14905 | 0.26148 | 0.23939 | 0.77813 |
LOF | 99 | 0.26000 | 0.23786 | 0.17472 | 0.15003 | 0.26531 | 0.24333 | 0.77807 |
LOF | 100 | 0.26000 | 0.23786 | 0.17552 | 0.15085 | 0.26531 | 0.24333 | 0.77803 |
SimplifiedLOF | 96 | 0.20000 | 0.17607 | 0.11241 | 0.08586 | 0.21359 | 0.19007 | 0.75202 |
SimplifiedLOF | 97 | 0.21000 | 0.18637 | 0.11271 | 0.08617 | 0.21359 | 0.19007 | 0.75222 |
SimplifiedLOF | 100 | 0.20000 | 0.17607 | 0.11444 | 0.08795 | 0.21253 | 0.18898 | 0.75324 |
LoOP | 97 | 0.17000 | 0.14517 | 0.10172 | 0.07485 | 0.20000 | 0.17607 | 0.74614 |
LoOP | 98 | 0.18000 | 0.15547 | 0.10199 | 0.07513 | 0.20000 | 0.17607 | 0.74649 |
LoOP | 100 | 0.18000 | 0.15547 | 0.10308 | 0.07625 | 0.19900 | 0.17504 | 0.74736 |
LDOF | 13 | 0.10000 | 0.07308 | 0.05072 | 0.02232 | 0.10870 | 0.08203 | 0.63570 |
LDOF | 96 | 0.09000 | 0.06278 | 0.05957 | 0.03144 | 0.12044 | 0.09413 | 0.69751 |
LDOF | 100 | 0.08000 | 0.05248 | 0.05896 | 0.03081 | 0.12500 | 0.09883 | 0.69896 |
ODIN | 10 | 0.05000 | 0.02158 | 0.03855 | 0.00979 | 0.07297 | 0.04524 | 0.59957 |
ODIN | 100 | 0.03000 | 0.00098 | 0.05186 | 0.02350 | 0.12208 | 0.09582 | 0.69733 |
FastABOD | 8 | 0.04000 | 0.01128 | 0.03148 | 0.00251 | 0.06708 | 0.03917 | 0.50515 |
FastABOD | 10 | 0.05000 | 0.02158 | 0.03223 | 0.00328 | 0.06132 | 0.03324 | 0.51804 |
KDEOS | 12 | 0.06000 | 0.03188 | 0.04701 | 0.01851 | 0.08556 | 0.05821 | 0.57863 |
KDEOS | 16 | 0.08000 | 0.05248 | 0.04370 | 0.01509 | 0.08609 | 0.05875 | 0.57361 |
KDEOS | 21 | 0.08000 | 0.05248 | 0.04092 | 0.01223 | 0.08889 | 0.06163 | 0.56886 |
KDEOS | 100 | 0.05000 | 0.02158 | 0.04125 | 0.01258 | 0.07499 | 0.04732 | 0.58894 |
LDF | 31 | 0.32000 | 0.29966 | 0.32786 | 0.30775 | 0.36478 | 0.34578 | 0.79732 |
LDF | 52 | 0.38000 | 0.36145 | 0.34703 | 0.32750 | 0.38000 | 0.36145 | 0.79052 |
LDF | 94 | 0.37000 | 0.35115 | 0.32818 | 0.30808 | 0.38947 | 0.37121 | 0.79167 |
INFLO | 79 | 0.13000 | 0.10398 | 0.07653 | 0.04891 | 0.15789 | 0.13270 | 0.72678 |
INFLO | 100 | 0.13000 | 0.10398 | 0.08497 | 0.05759 | 0.17128 | 0.14650 | 0.73765 |
COF | 80 | 0.29000 | 0.26876 | 0.28459 | 0.26319 | 0.31183 | 0.29124 | 0.74280 |
COF | 83 | 0.31000 | 0.28936 | 0.28650 | 0.26516 | 0.33333 | 0.31339 | 0.73085 |
COF | 98 | 0.27000 | 0.24816 | 0.30386 | 0.28303 | 0.35036 | 0.33093 | 0.73853 |