Waveform (version#02)
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 (64.4 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 | 65 | 0.26000 | 0.23786 | 0.17915 | 0.15459 | 0.26131 | 0.23921 | 0.78164 |
KNN | 71 | 0.26000 | 0.23786 | 0.18116 | 0.15667 | 0.27083 | 0.24902 | 0.78301 |
KNN | 81 | 0.26000 | 0.23786 | 0.17896 | 0.15440 | 0.26943 | 0.24758 | 0.78422 |
KNNW | 57 | 0.24000 | 0.21727 | 0.16359 | 0.13857 | 0.24000 | 0.21727 | 0.77296 |
KNNW | 96 | 0.24000 | 0.21727 | 0.17233 | 0.14757 | 0.24908 | 0.22662 | 0.77725 |
KNNW | 97 | 0.24000 | 0.21727 | 0.17243 | 0.14767 | 0.24908 | 0.22662 | 0.77733 |
KNNW | 100 | 0.24000 | 0.21727 | 0.17208 | 0.14732 | 0.24731 | 0.22480 | 0.77753 |
LOF | 96 | 0.23000 | 0.20697 | 0.14482 | 0.11924 | 0.23656 | 0.21372 | 0.76568 |
LOF | 100 | 0.23000 | 0.20697 | 0.14554 | 0.11998 | 0.23834 | 0.21556 | 0.76623 |
SimplifiedLOF | 90 | 0.20000 | 0.17607 | 0.10719 | 0.08048 | 0.20388 | 0.18007 | 0.75094 |
SimplifiedLOF | 98 | 0.20000 | 0.17607 | 0.11115 | 0.08456 | 0.21858 | 0.19520 | 0.75221 |
SimplifiedLOF | 100 | 0.20000 | 0.17607 | 0.11165 | 0.08507 | 0.22099 | 0.19769 | 0.75176 |
LoOP | 96 | 0.19000 | 0.16577 | 0.10186 | 0.07500 | 0.20388 | 0.18007 | 0.74885 |
LoOP | 98 | 0.20000 | 0.17607 | 0.10217 | 0.07531 | 0.20290 | 0.17905 | 0.74977 |
LoOP | 100 | 0.20000 | 0.17607 | 0.10300 | 0.07616 | 0.20290 | 0.17905 | 0.74829 |
LDOF | 63 | 0.11000 | 0.08338 | 0.06251 | 0.03447 | 0.12560 | 0.09945 | 0.69730 |
LDOF | 92 | 0.09000 | 0.06278 | 0.06590 | 0.03796 | 0.13986 | 0.11413 | 0.70802 |
LDOF | 98 | 0.10000 | 0.07308 | 0.06683 | 0.03892 | 0.13665 | 0.11082 | 0.70890 |
LDOF | 99 | 0.10000 | 0.07308 | 0.06717 | 0.03926 | 0.13665 | 0.11082 | 0.70887 |
ODIN | 55 | 0.05000 | 0.02158 | 0.05137 | 0.02299 | 0.10877 | 0.08211 | 0.69023 |
ODIN | 100 | 0.04857 | 0.02011 | 0.06076 | 0.03266 | 0.13592 | 0.11007 | 0.71372 |
FastABOD | 18 | 0.07000 | 0.04218 | 0.05057 | 0.02217 | 0.10889 | 0.08224 | 0.66585 |
FastABOD | 52 | 0.03000 | 0.00098 | 0.05331 | 0.02499 | 0.10776 | 0.08107 | 0.68509 |
FastABOD | 78 | 0.06000 | 0.03188 | 0.05431 | 0.02602 | 0.11576 | 0.08931 | 0.68468 |
FastABOD | 99 | 0.04000 | 0.01128 | 0.05333 | 0.02501 | 0.12186 | 0.09560 | 0.68229 |
KDEOS | 7 | 0.07000 | 0.04218 | 0.04256 | 0.01392 | 0.09006 | 0.06284 | 0.57476 |
KDEOS | 8 | 0.06000 | 0.03188 | 0.04390 | 0.01530 | 0.08581 | 0.05846 | 0.57373 |
KDEOS | 25 | 0.08000 | 0.05248 | 0.03793 | 0.00916 | 0.08824 | 0.06096 | 0.57332 |
KDEOS | 99 | 0.01000 | -0.01961 | 0.03834 | 0.00958 | 0.08289 | 0.05546 | 0.61914 |
LDF | 9 | 0.26000 | 0.23786 | 0.23688 | 0.21405 | 0.27317 | 0.25143 | 0.77620 |
LDF | 18 | 0.33000 | 0.30996 | 0.26352 | 0.24149 | 0.33166 | 0.31167 | 0.75971 |
LDF | 29 | 0.31000 | 0.28936 | 0.27505 | 0.25337 | 0.36025 | 0.34111 | 0.76793 |
LDF | 37 | 0.31000 | 0.28936 | 0.27848 | 0.25689 | 0.34320 | 0.32355 | 0.77081 |
INFLO | 78 | 0.12000 | 0.09368 | 0.07985 | 0.05233 | 0.16327 | 0.13824 | 0.73929 |
INFLO | 91 | 0.14000 | 0.11427 | 0.08372 | 0.05631 | 0.16958 | 0.14474 | 0.73260 |
INFLO | 98 | 0.13000 | 0.10398 | 0.08659 | 0.05927 | 0.17544 | 0.15077 | 0.73430 |
INFLO | 100 | 0.13000 | 0.10398 | 0.08700 | 0.05969 | 0.17544 | 0.15077 | 0.73469 |
COF | 71 | 0.27000 | 0.24816 | 0.25807 | 0.23588 | 0.33987 | 0.32012 | 0.73262 |
COF | 82 | 0.30000 | 0.27906 | 0.27507 | 0.25338 | 0.33577 | 0.31590 | 0.74390 |
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 | 33 | 0.31000 | 0.28936 | 0.23543 | 0.21256 | 0.31963 | 0.29928 | 0.78851 |
KNN | 35 | 0.29000 | 0.26876 | 0.23729 | 0.21448 | 0.32075 | 0.30044 | 0.78997 |
KNN | 100 | 0.29000 | 0.26876 | 0.26283 | 0.24078 | 0.31356 | 0.29303 | 0.79939 |
KNNW | 35 | 0.27000 | 0.24816 | 0.20024 | 0.17632 | 0.27972 | 0.25817 | 0.78199 |
KNNW | 77 | 0.25000 | 0.22757 | 0.22865 | 0.20557 | 0.30837 | 0.28768 | 0.78935 |
KNNW | 100 | 0.27000 | 0.24816 | 0.24030 | 0.21757 | 0.30435 | 0.28354 | 0.79155 |
LOF | 90 | 0.27000 | 0.24816 | 0.18691 | 0.16259 | 0.27966 | 0.25811 | 0.78257 |
LOF | 93 | 0.26000 | 0.23786 | 0.18973 | 0.16549 | 0.28448 | 0.26308 | 0.78293 |
LOF | 98 | 0.26000 | 0.23786 | 0.19279 | 0.16864 | 0.28085 | 0.25934 | 0.78302 |
LOF | 100 | 0.26000 | 0.23786 | 0.19392 | 0.16980 | 0.28085 | 0.25934 | 0.78283 |
SimplifiedLOF | 93 | 0.20000 | 0.17607 | 0.12753 | 0.10143 | 0.22137 | 0.19808 | 0.76424 |
SimplifiedLOF | 99 | 0.20000 | 0.17607 | 0.13241 | 0.10646 | 0.22936 | 0.20631 | 0.76504 |
SimplifiedLOF | 100 | 0.20000 | 0.17607 | 0.13373 | 0.10782 | 0.22222 | 0.19896 | 0.76540 |
LoOP | 93 | 0.18000 | 0.15547 | 0.11378 | 0.08727 | 0.20896 | 0.18529 | 0.76090 |
LoOP | 100 | 0.18000 | 0.15547 | 0.11777 | 0.09138 | 0.20690 | 0.18317 | 0.76213 |
LDOF | 73 | 0.12000 | 0.09368 | 0.06831 | 0.04044 | 0.13499 | 0.10912 | 0.71311 |
LDOF | 98 | 0.11000 | 0.08338 | 0.07247 | 0.04473 | 0.14453 | 0.11894 | 0.72402 |
LDOF | 100 | 0.11000 | 0.08338 | 0.07305 | 0.04532 | 0.14286 | 0.11722 | 0.72526 |
ODIN | 9 | 0.05078 | 0.02239 | 0.04054 | 0.01184 | 0.07773 | 0.05015 | 0.61620 |
ODIN | 98 | 0.02000 | -0.00931 | 0.05808 | 0.02991 | 0.13075 | 0.10475 | 0.71490 |
ODIN | 99 | 0.02273 | -0.00651 | 0.05812 | 0.02994 | 0.12883 | 0.10277 | 0.71504 |
FastABOD | 3 | 0.06000 | 0.03188 | 0.03267 | 0.00373 | 0.06357 | 0.03555 | 0.51033 |
FastABOD | 8 | 0.02000 | -0.00931 | 0.03254 | 0.00360 | 0.06699 | 0.03908 | 0.53650 |
FastABOD | 11 | 0.02000 | -0.00931 | 0.03246 | 0.00351 | 0.07159 | 0.04382 | 0.53131 |
FastABOD | 24 | 0.02000 | -0.00931 | 0.03311 | 0.00418 | 0.06952 | 0.04169 | 0.53645 |
KDEOS | 13 | 0.06000 | 0.03188 | 0.04330 | 0.01468 | 0.07652 | 0.04889 | 0.56739 |
KDEOS | 14 | 0.08000 | 0.05248 | 0.04203 | 0.01337 | 0.08743 | 0.06013 | 0.57002 |
KDEOS | 25 | 0.06000 | 0.03188 | 0.04083 | 0.01214 | 0.09486 | 0.06779 | 0.57386 |
KDEOS | 100 | 0.03000 | 0.00098 | 0.03718 | 0.00838 | 0.07867 | 0.05111 | 0.60680 |
LDF | 18 | 0.34000 | 0.32026 | 0.32451 | 0.30430 | 0.37975 | 0.36119 | 0.80006 |
LDF | 20 | 0.35000 | 0.33056 | 0.32538 | 0.30520 | 0.36585 | 0.34688 | 0.79693 |
LDF | 25 | 0.31000 | 0.28936 | 0.33678 | 0.31694 | 0.37086 | 0.35204 | 0.79501 |
LDF | 26 | 0.33000 | 0.30996 | 0.33368 | 0.31374 | 0.38356 | 0.36512 | 0.79302 |
INFLO | 91 | 0.14000 | 0.11427 | 0.09007 | 0.06285 | 0.17391 | 0.14920 | 0.74769 |
INFLO | 99 | 0.14000 | 0.11427 | 0.09602 | 0.06898 | 0.18280 | 0.15835 | 0.75104 |
INFLO | 100 | 0.14000 | 0.11427 | 0.09674 | 0.06972 | 0.18133 | 0.15684 | 0.75178 |
COF | 58 | 0.32000 | 0.29966 | 0.28759 | 0.26627 | 0.32804 | 0.30794 | 0.74623 |
COF | 89 | 0.29000 | 0.26876 | 0.30898 | 0.28831 | 0.34286 | 0.32320 | 0.76670 |
COF | 94 | 0.28000 | 0.25846 | 0.30284 | 0.28198 | 0.35762 | 0.33840 | 0.77177 |
COF | 97 | 0.27000 | 0.24816 | 0.30531 | 0.28453 | 0.36765 | 0.34873 | 0.76731 |