Waveform (version#05)
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 (64.8 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 | 9 | 0.15000 | 0.12457 | 0.13257 | 0.10663 | 0.23684 | 0.21401 | 0.77696 |
KNN | 94 | 0.21000 | 0.18637 | 0.15511 | 0.12983 | 0.22222 | 0.19896 | 0.78710 |
KNN | 96 | 0.21000 | 0.18637 | 0.15551 | 0.13025 | 0.21910 | 0.19574 | 0.78697 |
KNN | 98 | 0.22000 | 0.19667 | 0.15548 | 0.13022 | 0.22111 | 0.19781 | 0.78702 |
KNNW | 38 | 0.18000 | 0.15547 | 0.14016 | 0.11444 | 0.23810 | 0.21530 | 0.78012 |
KNNW | 44 | 0.19000 | 0.16577 | 0.14028 | 0.11456 | 0.23256 | 0.20960 | 0.78026 |
KNNW | 100 | 0.19000 | 0.16577 | 0.14747 | 0.12197 | 0.22807 | 0.20498 | 0.78311 |
LOF | 88 | 0.18000 | 0.15547 | 0.12450 | 0.09831 | 0.22552 | 0.20235 | 0.77145 |
LOF | 91 | 0.18000 | 0.15547 | 0.12558 | 0.09942 | 0.22754 | 0.20444 | 0.77186 |
LOF | 100 | 0.17000 | 0.14517 | 0.12785 | 0.10176 | 0.22353 | 0.20030 | 0.77252 |
SimplifiedLOF | 3 | 0.14000 | 0.11427 | 0.06800 | 0.04013 | 0.14000 | 0.11427 | 0.67822 |
SimplifiedLOF | 99 | 0.12000 | 0.09368 | 0.10680 | 0.08008 | 0.20497 | 0.18119 | 0.75102 |
SimplifiedLOF | 100 | 0.11000 | 0.08338 | 0.10688 | 0.08017 | 0.20625 | 0.18251 | 0.75094 |
LoOP | 3 | 0.13000 | 0.10398 | 0.06675 | 0.03883 | 0.13761 | 0.11182 | 0.67710 |
LoOP | 97 | 0.12000 | 0.09368 | 0.10067 | 0.07377 | 0.19512 | 0.17105 | 0.74346 |
LoOP | 100 | 0.11000 | 0.08338 | 0.10105 | 0.07415 | 0.19886 | 0.17490 | 0.74288 |
LDOF | 13 | 0.11000 | 0.08338 | 0.05929 | 0.03115 | 0.11765 | 0.09125 | 0.69001 |
LDOF | 72 | 0.08000 | 0.05248 | 0.06911 | 0.04126 | 0.15000 | 0.12457 | 0.71271 |
LDOF | 89 | 0.08000 | 0.05248 | 0.07437 | 0.04668 | 0.14572 | 0.12017 | 0.72025 |
LDOF | 99 | 0.08000 | 0.05248 | 0.07278 | 0.04504 | 0.14350 | 0.11788 | 0.72449 |
ODIN | 15 | 0.09910 | 0.07215 | 0.05340 | 0.02509 | 0.10444 | 0.07765 | 0.66061 |
ODIN | 94 | 0.06400 | 0.03600 | 0.06743 | 0.03953 | 0.14218 | 0.11652 | 0.72750 |
ODIN | 99 | 0.07000 | 0.04218 | 0.06727 | 0.03937 | 0.13853 | 0.11276 | 0.72820 |
FastABOD | 4 | 0.09000 | 0.06278 | 0.05849 | 0.03033 | 0.10933 | 0.08269 | 0.67701 |
FastABOD | 7 | 0.06000 | 0.03188 | 0.06823 | 0.04036 | 0.13115 | 0.10516 | 0.71806 |
FastABOD | 15 | 0.07000 | 0.04218 | 0.06417 | 0.03618 | 0.12214 | 0.09588 | 0.72065 |
FastABOD | 33 | 0.06000 | 0.03188 | 0.06091 | 0.03282 | 0.13402 | 0.10812 | 0.71847 |
KDEOS | 7 | 0.07000 | 0.04218 | 0.04294 | 0.01431 | 0.08087 | 0.05338 | 0.61919 |
KDEOS | 24 | 0.05000 | 0.02158 | 0.04724 | 0.01874 | 0.07680 | 0.04918 | 0.59168 |
KDEOS | 87 | 0.05000 | 0.02158 | 0.04259 | 0.01395 | 0.09159 | 0.06442 | 0.63740 |
KDEOS | 100 | 0.07000 | 0.04218 | 0.04336 | 0.01475 | 0.08944 | 0.06220 | 0.64378 |
LDF | 35 | 0.26000 | 0.23786 | 0.22430 | 0.20110 | 0.28108 | 0.25958 | 0.78455 |
LDF | 37 | 0.28000 | 0.25846 | 0.21930 | 0.19595 | 0.28426 | 0.26285 | 0.78526 |
LDF | 42 | 0.25000 | 0.22757 | 0.21319 | 0.18966 | 0.29565 | 0.27458 | 0.78349 |
LDF | 76 | 0.24000 | 0.21727 | 0.18552 | 0.16116 | 0.24762 | 0.22511 | 0.79580 |
INFLO | 3 | 0.13000 | 0.10398 | 0.06609 | 0.03816 | 0.13537 | 0.10951 | 0.67252 |
INFLO | 88 | 0.10000 | 0.07308 | 0.09093 | 0.06373 | 0.16777 | 0.14288 | 0.73676 |
INFLO | 90 | 0.10000 | 0.07308 | 0.09612 | 0.06908 | 0.17552 | 0.15086 | 0.72964 |
INFLO | 91 | 0.11000 | 0.08338 | 0.09160 | 0.06442 | 0.17840 | 0.15383 | 0.73041 |
COF | 43 | 0.28000 | 0.25846 | 0.21459 | 0.19110 | 0.28723 | 0.26591 | 0.76900 |
COF | 51 | 0.24000 | 0.21727 | 0.20449 | 0.18070 | 0.26432 | 0.24231 | 0.77994 |
COF | 56 | 0.28000 | 0.25846 | 0.22234 | 0.19908 | 0.29630 | 0.27525 | 0.77630 |
COF | 79 | 0.27000 | 0.24816 | 0.23331 | 0.21037 | 0.27000 | 0.24816 | 0.76323 |
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 (65.3 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 | 38 | 0.25000 | 0.22757 | 0.19463 | 0.17054 | 0.26415 | 0.24214 | 0.78556 |
KNN | 73 | 0.22000 | 0.19667 | 0.19982 | 0.17589 | 0.28571 | 0.26435 | 0.79508 |
KNN | 90 | 0.22000 | 0.19667 | 0.20373 | 0.17991 | 0.27439 | 0.25268 | 0.79739 |
KNN | 99 | 0.23000 | 0.20697 | 0.20261 | 0.17876 | 0.27108 | 0.24928 | 0.79806 |
KNNW | 26 | 0.24000 | 0.21727 | 0.17167 | 0.14690 | 0.25444 | 0.23214 | 0.78850 |
KNNW | 99 | 0.22000 | 0.19667 | 0.19339 | 0.16926 | 0.26667 | 0.24473 | 0.79211 |
KNNW | 100 | 0.22000 | 0.19667 | 0.19346 | 0.16933 | 0.26667 | 0.24473 | 0.79217 |
LOF | 66 | 0.20000 | 0.17607 | 0.14707 | 0.12155 | 0.24332 | 0.22069 | 0.78076 |
LOF | 96 | 0.20000 | 0.17607 | 0.17681 | 0.15218 | 0.26708 | 0.24516 | 0.78301 |
SimplifiedLOF | 4 | 0.17000 | 0.14517 | 0.07382 | 0.04611 | 0.17172 | 0.14694 | 0.68863 |
SimplifiedLOF | 99 | 0.17000 | 0.14517 | 0.13020 | 0.10418 | 0.22152 | 0.19823 | 0.76196 |
SimplifiedLOF | 100 | 0.16000 | 0.13487 | 0.12745 | 0.10135 | 0.21843 | 0.19505 | 0.76197 |
LoOP | 99 | 0.16000 | 0.13487 | 0.11769 | 0.09130 | 0.20988 | 0.18624 | 0.75508 |
LoOP | 100 | 0.15000 | 0.12457 | 0.11764 | 0.09124 | 0.21317 | 0.18963 | 0.75515 |
LDOF | 3 | 0.13000 | 0.10398 | 0.07154 | 0.04377 | 0.14226 | 0.11660 | 0.66833 |
LDOF | 8 | 0.13000 | 0.10398 | 0.08050 | 0.05299 | 0.15029 | 0.12487 | 0.69010 |
LDOF | 95 | 0.08000 | 0.05248 | 0.07707 | 0.04946 | 0.16495 | 0.13997 | 0.73498 |
LDOF | 100 | 0.09000 | 0.06278 | 0.07810 | 0.05052 | 0.15833 | 0.13316 | 0.73779 |
ODIN | 25 | 0.09743 | 0.07043 | 0.05537 | 0.02711 | 0.10117 | 0.07428 | 0.66564 |
ODIN | 97 | 0.05667 | 0.02845 | 0.06954 | 0.04171 | 0.14756 | 0.12206 | 0.73029 |
ODIN | 98 | 0.05000 | 0.02158 | 0.06851 | 0.04064 | 0.14767 | 0.12217 | 0.72999 |
FastABOD | 4 | 0.04000 | 0.01128 | 0.03672 | 0.00790 | 0.07783 | 0.05025 | 0.56471 |
FastABOD | 6 | 0.03000 | 0.00098 | 0.03750 | 0.00871 | 0.08262 | 0.05517 | 0.59148 |
FastABOD | 7 | 0.03000 | 0.00098 | 0.03867 | 0.00991 | 0.08156 | 0.05409 | 0.59490 |
KDEOS | 5 | 0.05000 | 0.02158 | 0.04908 | 0.02064 | 0.09790 | 0.07092 | 0.64207 |
KDEOS | 9 | 0.08000 | 0.05248 | 0.04911 | 0.02066 | 0.09393 | 0.06682 | 0.62694 |
LDF | 56 | 0.31000 | 0.28936 | 0.27027 | 0.24844 | 0.33333 | 0.31339 | 0.81475 |
LDF | 57 | 0.30000 | 0.27906 | 0.27094 | 0.24913 | 0.32900 | 0.30893 | 0.81345 |
LDF | 66 | 0.32000 | 0.29966 | 0.26447 | 0.24247 | 0.32850 | 0.30842 | 0.81095 |
LDF | 76 | 0.31000 | 0.28936 | 0.26706 | 0.24514 | 0.33654 | 0.31669 | 0.81086 |
INFLO | 7 | 0.15000 | 0.12457 | 0.08314 | 0.05571 | 0.15789 | 0.13270 | 0.68208 |
INFLO | 88 | 0.11000 | 0.08338 | 0.10129 | 0.07441 | 0.18232 | 0.15786 | 0.74036 |
INFLO | 96 | 0.12000 | 0.09368 | 0.10524 | 0.07847 | 0.19048 | 0.16626 | 0.73832 |
INFLO | 99 | 0.14000 | 0.11427 | 0.10595 | 0.07920 | 0.18519 | 0.16081 | 0.73911 |
COF | 56 | 0.30000 | 0.27906 | 0.23483 | 0.21194 | 0.30303 | 0.28218 | 0.78044 |
COF | 82 | 0.26000 | 0.23786 | 0.26938 | 0.24753 | 0.32394 | 0.30372 | 0.78289 |
COF | 85 | 0.30000 | 0.27906 | 0.26916 | 0.24730 | 0.31206 | 0.29148 | 0.78590 |
COF | 96 | 0.27000 | 0.24816 | 0.27837 | 0.25678 | 0.31250 | 0.29193 | 0.78051 |