Waveform (version#01)
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 (64.1 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 | 0.21000 | 0.18637 | 0.13711 | 0.11130 | 0.23810 | 0.21530 | 0.74646 |
KNN | 60 | 0.23000 | 0.20697 | 0.14330 | 0.11767 | 0.23077 | 0.20776 | 0.75306 |
KNN | 97 | 0.21000 | 0.18637 | 0.14767 | 0.12217 | 0.22414 | 0.20093 | 0.76130 |
KNN | 100 | 0.22000 | 0.19667 | 0.14732 | 0.12181 | 0.22222 | 0.19896 | 0.76252 |
KNNW | 67 | 0.21000 | 0.18637 | 0.13825 | 0.11247 | 0.23529 | 0.21242 | 0.75090 |
KNNW | 69 | 0.22000 | 0.19667 | 0.13843 | 0.11265 | 0.23529 | 0.21242 | 0.75102 |
KNNW | 92 | 0.22000 | 0.19667 | 0.14115 | 0.11546 | 0.23148 | 0.20849 | 0.75339 |
KNNW | 100 | 0.22000 | 0.19667 | 0.14085 | 0.11515 | 0.23256 | 0.20960 | 0.75411 |
LOF | 79 | 0.21000 | 0.18637 | 0.12718 | 0.10107 | 0.22134 | 0.19805 | 0.74130 |
LOF | 92 | 0.21000 | 0.18637 | 0.13079 | 0.10479 | 0.22764 | 0.20454 | 0.74281 |
LOF | 97 | 0.21000 | 0.18637 | 0.13069 | 0.10469 | 0.23431 | 0.21141 | 0.74239 |
LOF | 100 | 0.21000 | 0.18637 | 0.13131 | 0.10533 | 0.23431 | 0.21141 | 0.74246 |
SimplifiedLOF | 94 | 0.20000 | 0.17607 | 0.10539 | 0.07863 | 0.20576 | 0.18200 | 0.72629 |
SimplifiedLOF | 100 | 0.19000 | 0.16577 | 0.11283 | 0.08629 | 0.21277 | 0.18922 | 0.72650 |
LoOP | 91 | 0.17000 | 0.14517 | 0.09940 | 0.07246 | 0.20253 | 0.17868 | 0.71962 |
LoOP | 94 | 0.19000 | 0.16577 | 0.09913 | 0.07218 | 0.19913 | 0.17518 | 0.71980 |
LoOP | 99 | 0.19000 | 0.16577 | 0.10194 | 0.07508 | 0.20084 | 0.17693 | 0.72112 |
LoOP | 100 | 0.19000 | 0.16577 | 0.10282 | 0.07598 | 0.20084 | 0.17693 | 0.72040 |
LDOF | 30 | 0.11000 | 0.08338 | 0.05929 | 0.03115 | 0.12093 | 0.09463 | 0.68413 |
LDOF | 87 | 0.11000 | 0.08338 | 0.06863 | 0.04077 | 0.14340 | 0.11777 | 0.71994 |
LDOF | 91 | 0.11000 | 0.08338 | 0.06913 | 0.04129 | 0.13383 | 0.10792 | 0.72125 |
LDOF | 100 | 0.10000 | 0.07308 | 0.06968 | 0.04185 | 0.12583 | 0.09968 | 0.72046 |
ODIN | 83 | 0.09500 | 0.06793 | 0.05983 | 0.03171 | 0.12658 | 0.10046 | 0.69353 |
ODIN | 100 | 0.07857 | 0.05101 | 0.06429 | 0.03630 | 0.13889 | 0.11313 | 0.69925 |
FastABOD | 9 | 0.08000 | 0.05248 | 0.04962 | 0.02119 | 0.09645 | 0.06943 | 0.64648 |
FastABOD | 21 | 0.07000 | 0.04218 | 0.05138 | 0.02300 | 0.10498 | 0.07821 | 0.67682 |
FastABOD | 45 | 0.05000 | 0.02158 | 0.05031 | 0.02190 | 0.11409 | 0.08759 | 0.67136 |
KDEOS | 12 | 0.08000 | 0.05248 | 0.04131 | 0.01264 | 0.08372 | 0.05631 | 0.59580 |
KDEOS | 17 | 0.08000 | 0.05248 | 0.04102 | 0.01233 | 0.09434 | 0.06725 | 0.59032 |
KDEOS | 21 | 0.06000 | 0.03188 | 0.04666 | 0.01814 | 0.07143 | 0.04365 | 0.57432 |
KDEOS | 100 | 0.01000 | -0.01961 | 0.03639 | 0.00757 | 0.08013 | 0.05261 | 0.61206 |
LDF | 19 | 0.29000 | 0.26876 | 0.21289 | 0.18934 | 0.29146 | 0.27026 | 0.76427 |
LDF | 24 | 0.25000 | 0.22757 | 0.21998 | 0.19665 | 0.30968 | 0.28903 | 0.76640 |
LDF | 29 | 0.25000 | 0.22757 | 0.21541 | 0.19194 | 0.28090 | 0.25939 | 0.77617 |
INFLO | 73 | 0.15000 | 0.12457 | 0.08461 | 0.05722 | 0.16988 | 0.14505 | 0.70853 |
INFLO | 94 | 0.14000 | 0.11427 | 0.09177 | 0.06460 | 0.18113 | 0.15664 | 0.71460 |
INFLO | 99 | 0.15000 | 0.12457 | 0.09821 | 0.07124 | 0.19048 | 0.16626 | 0.71265 |
INFLO | 100 | 0.15000 | 0.12457 | 0.09874 | 0.07178 | 0.19048 | 0.16626 | 0.70931 |
COF | 36 | 0.21000 | 0.18637 | 0.18006 | 0.15553 | 0.23276 | 0.20981 | 0.75882 |
COF | 67 | 0.27000 | 0.24816 | 0.20574 | 0.18198 | 0.27225 | 0.25048 | 0.73926 |
COF | 80 | 0.26000 | 0.23786 | 0.21165 | 0.18806 | 0.28188 | 0.26040 | 0.73945 |
COF | 97 | 0.27000 | 0.24816 | 0.20435 | 0.18055 | 0.29885 | 0.27788 | 0.73544 |
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 (64.3 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 | 28 | 0.27000 | 0.24816 | 0.17335 | 0.14863 | 0.27551 | 0.25384 | 0.75712 |
KNN | 31 | 0.27000 | 0.24816 | 0.17443 | 0.14974 | 0.28421 | 0.26280 | 0.75710 |
KNN | 91 | 0.27000 | 0.24816 | 0.20048 | 0.17657 | 0.27000 | 0.24816 | 0.77143 |
KNN | 99 | 0.27000 | 0.24816 | 0.19939 | 0.17544 | 0.27879 | 0.25721 | 0.77452 |
KNNW | 47 | 0.27000 | 0.24816 | 0.16560 | 0.14064 | 0.27230 | 0.25053 | 0.75715 |
KNNW | 53 | 0.27000 | 0.24816 | 0.16944 | 0.14460 | 0.28125 | 0.25975 | 0.75812 |
KNNW | 100 | 0.27000 | 0.24816 | 0.18210 | 0.15763 | 0.27723 | 0.25561 | 0.76379 |
LOF | 87 | 0.23000 | 0.20697 | 0.15926 | 0.13411 | 0.25862 | 0.23644 | 0.75476 |
LOF | 92 | 0.23000 | 0.20697 | 0.15934 | 0.13419 | 0.25439 | 0.23208 | 0.75584 |
LOF | 98 | 0.23000 | 0.20697 | 0.16261 | 0.13756 | 0.25000 | 0.22757 | 0.75581 |
LOF | 99 | 0.24000 | 0.21727 | 0.16181 | 0.13674 | 0.25455 | 0.23225 | 0.75576 |
SimplifiedLOF | 83 | 0.22000 | 0.19667 | 0.12427 | 0.09807 | 0.22707 | 0.20395 | 0.73207 |
SimplifiedLOF | 95 | 0.22000 | 0.19667 | 0.12577 | 0.09962 | 0.22831 | 0.20523 | 0.73337 |
SimplifiedLOF | 99 | 0.22000 | 0.19667 | 0.12789 | 0.10180 | 0.22430 | 0.20110 | 0.73359 |
SimplifiedLOF | 100 | 0.21000 | 0.18637 | 0.12768 | 0.10158 | 0.22326 | 0.20002 | 0.73386 |
LoOP | 95 | 0.19000 | 0.16577 | 0.11681 | 0.09039 | 0.21918 | 0.19582 | 0.72548 |
LoOP | 99 | 0.21000 | 0.18637 | 0.11861 | 0.09225 | 0.21739 | 0.19398 | 0.72580 |
LoOP | 100 | 0.20000 | 0.17607 | 0.11822 | 0.09185 | 0.21552 | 0.19205 | 0.72708 |
LDOF | 88 | 0.15000 | 0.12457 | 0.07642 | 0.04879 | 0.15000 | 0.12457 | 0.72468 |
LDOF | 97 | 0.14000 | 0.11427 | 0.07561 | 0.04796 | 0.15439 | 0.12909 | 0.72553 |
ODIN | 36 | 0.07299 | 0.04526 | 0.04937 | 0.02094 | 0.09796 | 0.07098 | 0.65986 |
ODIN | 97 | 0.05708 | 0.02888 | 0.05833 | 0.03016 | 0.12756 | 0.10147 | 0.69957 |
ODIN | 100 | 0.06136 | 0.03329 | 0.05856 | 0.03040 | 0.11905 | 0.09270 | 0.70041 |
FastABOD | 6 | 0.04000 | 0.01128 | 0.03463 | 0.00575 | 0.07598 | 0.04834 | 0.54433 |
FastABOD | 7 | 0.05000 | 0.02158 | 0.03250 | 0.00356 | 0.06347 | 0.03545 | 0.52943 |
KDEOS | 13 | 0.07000 | 0.04218 | 0.04150 | 0.01283 | 0.07958 | 0.05204 | 0.57795 |
KDEOS | 25 | 0.05000 | 0.02158 | 0.04810 | 0.01963 | 0.08197 | 0.05451 | 0.57610 |
KDEOS | 26 | 0.05000 | 0.02158 | 0.03811 | 0.00933 | 0.08389 | 0.05648 | 0.57742 |
KDEOS | 100 | 0.03000 | 0.00098 | 0.03476 | 0.00589 | 0.07620 | 0.04857 | 0.59604 |
LDF | 14 | 0.31000 | 0.28936 | 0.26513 | 0.24315 | 0.37037 | 0.35154 | 0.76577 |
LDF | 17 | 0.34000 | 0.32026 | 0.27551 | 0.25383 | 0.34555 | 0.32597 | 0.76975 |
LDF | 22 | 0.33000 | 0.30996 | 0.28026 | 0.25873 | 0.34524 | 0.32565 | 0.77378 |
LDF | 26 | 0.31000 | 0.28936 | 0.27291 | 0.25116 | 0.32461 | 0.30440 | 0.78374 |
INFLO | 88 | 0.20000 | 0.17607 | 0.10239 | 0.07554 | 0.20952 | 0.18588 | 0.71645 |
INFLO | 89 | 0.19000 | 0.16577 | 0.10203 | 0.07517 | 0.21569 | 0.19222 | 0.71592 |
INFLO | 93 | 0.19000 | 0.16577 | 0.10339 | 0.07657 | 0.21359 | 0.19007 | 0.71742 |
INFLO | 98 | 0.19000 | 0.16577 | 0.10551 | 0.07875 | 0.21053 | 0.18691 | 0.71225 |
COF | 64 | 0.28000 | 0.25846 | 0.23025 | 0.20722 | 0.28283 | 0.26138 | 0.74962 |
COF | 72 | 0.24000 | 0.21727 | 0.23469 | 0.21180 | 0.30216 | 0.28128 | 0.76023 |
COF | 79 | 0.26000 | 0.23786 | 0.23800 | 0.21521 | 0.27545 | 0.25378 | 0.76365 |
COF | 85 | 0.26000 | 0.23786 | 0.24787 | 0.22537 | 0.27972 | 0.25817 | 0.74793 |