Waveform (version#06)
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 (30.1 MB) Download raw algorithm evaluation table (66.3 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 | 26 | 0.19000 | 0.16577 | 0.13726 | 0.11146 | 0.22074 | 0.19743 | 0.74977 |
KNN | 87 | 0.17000 | 0.14517 | 0.14268 | 0.11703 | 0.21754 | 0.19414 | 0.76395 |
KNN | 97 | 0.18000 | 0.15547 | 0.14587 | 0.12032 | 0.21951 | 0.19617 | 0.76257 |
KNN | 100 | 0.18000 | 0.15547 | 0.14366 | 0.11804 | 0.22917 | 0.20611 | 0.76263 |
KNNW | 57 | 0.17000 | 0.14517 | 0.13049 | 0.10448 | 0.20741 | 0.18370 | 0.74876 |
KNNW | 87 | 0.16000 | 0.13487 | 0.13436 | 0.10847 | 0.22137 | 0.19808 | 0.75311 |
KNNW | 100 | 0.16000 | 0.13487 | 0.13577 | 0.10991 | 0.22137 | 0.19808 | 0.75458 |
LOF | 88 | 0.15000 | 0.12457 | 0.11881 | 0.09245 | 0.21311 | 0.18958 | 0.74389 |
LOF | 90 | 0.16000 | 0.13487 | 0.11932 | 0.09298 | 0.20968 | 0.18604 | 0.74439 |
LOF | 96 | 0.16000 | 0.13487 | 0.12521 | 0.09904 | 0.20772 | 0.18402 | 0.74502 |
LOF | 100 | 0.16000 | 0.13487 | 0.12637 | 0.10024 | 0.20896 | 0.18529 | 0.74456 |
SimplifiedLOF | 82 | 0.13000 | 0.10398 | 0.09260 | 0.06545 | 0.17568 | 0.15102 | 0.71053 |
SimplifiedLOF | 97 | 0.12000 | 0.09368 | 0.10017 | 0.07325 | 0.18430 | 0.15990 | 0.71523 |
SimplifiedLOF | 100 | 0.12000 | 0.09368 | 0.10089 | 0.07399 | 0.18243 | 0.15798 | 0.71596 |
LoOP | 82 | 0.12000 | 0.09368 | 0.08794 | 0.06066 | 0.16508 | 0.14010 | 0.70614 |
LoOP | 93 | 0.10000 | 0.07308 | 0.09232 | 0.06516 | 0.18065 | 0.15614 | 0.70960 |
LoOP | 99 | 0.11000 | 0.08338 | 0.09582 | 0.06877 | 0.17891 | 0.15435 | 0.71108 |
LoOP | 100 | 0.11000 | 0.08338 | 0.09591 | 0.06887 | 0.18006 | 0.15554 | 0.71097 |
LDOF | 48 | 0.09000 | 0.06278 | 0.05195 | 0.02360 | 0.11461 | 0.08813 | 0.65128 |
LDOF | 94 | 0.08000 | 0.05248 | 0.05875 | 0.03060 | 0.12531 | 0.09915 | 0.68102 |
LDOF | 98 | 0.09000 | 0.06278 | 0.05979 | 0.03167 | 0.12202 | 0.09575 | 0.68236 |
LDOF | 99 | 0.08000 | 0.05248 | 0.05963 | 0.03150 | 0.12022 | 0.09390 | 0.68284 |
ODIN | 58 | 0.06029 | 0.03218 | 0.04723 | 0.01873 | 0.09310 | 0.06597 | 0.66290 |
ODIN | 99 | 0.04609 | 0.01755 | 0.05445 | 0.02616 | 0.11009 | 0.08347 | 0.68920 |
ODIN | 100 | 0.04708 | 0.01858 | 0.05475 | 0.02647 | 0.11152 | 0.08495 | 0.68918 |
FastABOD | 9 | 0.07000 | 0.04218 | 0.04622 | 0.01769 | 0.12709 | 0.10098 | 0.60505 |
FastABOD | 12 | 0.05000 | 0.02158 | 0.04643 | 0.01790 | 0.10526 | 0.07850 | 0.61401 |
FastABOD | 100 | 0.03000 | 0.00098 | 0.04523 | 0.01667 | 0.09457 | 0.06749 | 0.63670 |
KDEOS | 10 | 0.06000 | 0.03188 | 0.03604 | 0.00721 | 0.07895 | 0.05140 | 0.54684 |
KDEOS | 100 | 0.03000 | 0.00098 | 0.03467 | 0.00580 | 0.07563 | 0.04797 | 0.58873 |
LDF | 31 | 0.26000 | 0.23786 | 0.21058 | 0.18696 | 0.29493 | 0.27384 | 0.76141 |
LDF | 32 | 0.28000 | 0.25846 | 0.21064 | 0.18703 | 0.28141 | 0.25991 | 0.76019 |
LDF | 38 | 0.26000 | 0.23786 | 0.21955 | 0.19621 | 0.27313 | 0.25138 | 0.76356 |
LDF | 79 | 0.22000 | 0.19667 | 0.18781 | 0.16351 | 0.23970 | 0.21696 | 0.77504 |
INFLO | 88 | 0.11000 | 0.08338 | 0.08767 | 0.06038 | 0.14465 | 0.11907 | 0.69842 |
INFLO | 90 | 0.10000 | 0.07308 | 0.08894 | 0.06169 | 0.14650 | 0.12097 | 0.70304 |
INFLO | 100 | 0.11000 | 0.08338 | 0.09163 | 0.06445 | 0.15385 | 0.12853 | 0.69952 |
COF | 57 | 0.21000 | 0.18637 | 0.17550 | 0.15084 | 0.25180 | 0.22942 | 0.75728 |
COF | 68 | 0.26000 | 0.23786 | 0.19025 | 0.16602 | 0.26943 | 0.24758 | 0.74554 |
COF | 73 | 0.24000 | 0.21727 | 0.19940 | 0.17545 | 0.27692 | 0.25529 | 0.73722 |
COF | 86 | 0.24000 | 0.21727 | 0.21623 | 0.19279 | 0.26829 | 0.24640 | 0.74292 |
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 (65.1 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 | 32 | 0.25000 | 0.22757 | 0.17061 | 0.14580 | 0.25668 | 0.23445 | 0.75788 |
KNN | 68 | 0.24000 | 0.21727 | 0.18863 | 0.16436 | 0.26923 | 0.24737 | 0.76669 |
KNN | 99 | 0.22000 | 0.19667 | 0.19391 | 0.16980 | 0.25641 | 0.23417 | 0.77294 |
KNN | 100 | 0.22000 | 0.19667 | 0.19329 | 0.16916 | 0.25641 | 0.23417 | 0.77322 |
KNNW | 77 | 0.24000 | 0.21727 | 0.16480 | 0.13982 | 0.24121 | 0.21851 | 0.75941 |
KNNW | 100 | 0.23000 | 0.20697 | 0.17173 | 0.14695 | 0.25556 | 0.23329 | 0.76226 |
LOF | 96 | 0.23000 | 0.20697 | 0.15635 | 0.13111 | 0.23469 | 0.21180 | 0.75626 |
LOF | 98 | 0.23000 | 0.20697 | 0.15670 | 0.13147 | 0.23590 | 0.21304 | 0.75645 |
LOF | 99 | 0.23000 | 0.20697 | 0.15820 | 0.13302 | 0.24084 | 0.21813 | 0.75637 |
LOF | 100 | 0.23000 | 0.20697 | 0.15824 | 0.13306 | 0.23711 | 0.21429 | 0.75613 |
SimplifiedLOF | 77 | 0.16000 | 0.13487 | 0.10061 | 0.07370 | 0.19828 | 0.17429 | 0.71438 |
SimplifiedLOF | 82 | 0.17000 | 0.14517 | 0.10409 | 0.07729 | 0.19087 | 0.16667 | 0.71512 |
SimplifiedLOF | 100 | 0.17000 | 0.14517 | 0.10864 | 0.08197 | 0.18623 | 0.16189 | 0.72226 |
LoOP | 77 | 0.13000 | 0.10398 | 0.09271 | 0.06557 | 0.18852 | 0.16425 | 0.70836 |
LoOP | 90 | 0.17000 | 0.14517 | 0.09972 | 0.07279 | 0.18474 | 0.16035 | 0.71359 |
LoOP | 99 | 0.17000 | 0.14517 | 0.10208 | 0.07523 | 0.17692 | 0.15230 | 0.71667 |
LoOP | 100 | 0.17000 | 0.14517 | 0.10259 | 0.07575 | 0.17969 | 0.15515 | 0.71662 |
LDOF | 74 | 0.09000 | 0.06278 | 0.06018 | 0.03207 | 0.11828 | 0.09190 | 0.67736 |
LDOF | 89 | 0.08000 | 0.05248 | 0.06290 | 0.03486 | 0.12295 | 0.09672 | 0.68447 |
LDOF | 98 | 0.08000 | 0.05248 | 0.06256 | 0.03452 | 0.13374 | 0.10783 | 0.68896 |
LDOF | 100 | 0.08000 | 0.05248 | 0.06184 | 0.03378 | 0.12941 | 0.10337 | 0.68949 |
ODIN | 70 | 0.04538 | 0.01683 | 0.04755 | 0.01905 | 0.10061 | 0.07371 | 0.66977 |
ODIN | 96 | 0.03000 | 0.00098 | 0.05301 | 0.02468 | 0.11316 | 0.08663 | 0.68824 |
ODIN | 97 | 0.03000 | 0.00098 | 0.05294 | 0.02461 | 0.11558 | 0.08912 | 0.68807 |
FastABOD | 3 | 0.04000 | 0.01128 | 0.02707 | -0.00203 | 0.05685 | 0.02864 | 0.44041 |
FastABOD | 12 | 0.03000 | 0.00098 | 0.02933 | 0.00030 | 0.05708 | 0.02887 | 0.46660 |
FastABOD | 49 | 0.01000 | -0.01961 | 0.02895 | -0.00010 | 0.05965 | 0.03153 | 0.49141 |
FastABOD | 65 | 0.01000 | -0.01961 | 0.02881 | -0.00024 | 0.05851 | 0.03035 | 0.49533 |
KDEOS | 9 | 0.06000 | 0.03188 | 0.04029 | 0.01158 | 0.07258 | 0.04484 | 0.53763 |
KDEOS | 97 | 0.04000 | 0.01128 | 0.03323 | 0.00431 | 0.07495 | 0.04728 | 0.57526 |
KDEOS | 100 | 0.03000 | 0.00098 | 0.03351 | 0.00460 | 0.07460 | 0.04692 | 0.57623 |
LDF | 15 | 0.33000 | 0.30996 | 0.23022 | 0.20719 | 0.33333 | 0.31339 | 0.77349 |
LDF | 20 | 0.31000 | 0.28936 | 0.27234 | 0.25057 | 0.34667 | 0.32712 | 0.77911 |
LDF | 49 | 0.30000 | 0.27906 | 0.28579 | 0.26442 | 0.33333 | 0.31339 | 0.78613 |
LDF | 83 | 0.29000 | 0.26876 | 0.27038 | 0.24855 | 0.30137 | 0.28047 | 0.79340 |
INFLO | 79 | 0.11000 | 0.08338 | 0.08507 | 0.05770 | 0.16725 | 0.14234 | 0.69582 |
INFLO | 90 | 0.13000 | 0.10398 | 0.09054 | 0.06334 | 0.16188 | 0.13681 | 0.70372 |
INFLO | 97 | 0.12000 | 0.09368 | 0.09276 | 0.06563 | 0.16162 | 0.13654 | 0.71090 |
INFLO | 100 | 0.13000 | 0.10398 | 0.09353 | 0.06641 | 0.16500 | 0.14002 | 0.70984 |
COF | 73 | 0.27000 | 0.24816 | 0.25011 | 0.22767 | 0.32258 | 0.30232 | 0.75553 |
COF | 88 | 0.30000 | 0.27906 | 0.26610 | 0.24415 | 0.30612 | 0.28537 | 0.76284 |
COF | 96 | 0.28000 | 0.25846 | 0.27376 | 0.25203 | 0.30275 | 0.28190 | 0.76779 |