Waveform (version#07)
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 (66.0 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 | 44 | 0.24000 | 0.21727 | 0.16432 | 0.13932 | 0.26335 | 0.24131 | 0.76178 |
KNN | 84 | 0.24000 | 0.21727 | 0.16959 | 0.14475 | 0.26909 | 0.24723 | 0.76991 |
KNN | 88 | 0.23000 | 0.20697 | 0.16909 | 0.14423 | 0.27306 | 0.25132 | 0.77028 |
KNN | 94 | 0.24000 | 0.21727 | 0.16914 | 0.14428 | 0.27206 | 0.25028 | 0.77144 |
KNNW | 36 | 0.21000 | 0.18637 | 0.14352 | 0.11790 | 0.23048 | 0.20746 | 0.75313 |
KNNW | 100 | 0.21000 | 0.18637 | 0.16132 | 0.13623 | 0.24549 | 0.22292 | 0.76266 |
LOF | 88 | 0.20000 | 0.17607 | 0.13110 | 0.10511 | 0.23592 | 0.21307 | 0.75514 |
LOF | 97 | 0.20000 | 0.17607 | 0.13358 | 0.10767 | 0.24090 | 0.21819 | 0.75633 |
LOF | 99 | 0.20000 | 0.17607 | 0.13363 | 0.10772 | 0.23889 | 0.21612 | 0.75677 |
LOF | 100 | 0.20000 | 0.17607 | 0.13443 | 0.10854 | 0.23955 | 0.21681 | 0.75657 |
SimplifiedLOF | 82 | 0.18000 | 0.15547 | 0.10027 | 0.07335 | 0.18182 | 0.15734 | 0.72187 |
SimplifiedLOF | 94 | 0.17000 | 0.14517 | 0.10434 | 0.07755 | 0.19048 | 0.16626 | 0.72341 |
SimplifiedLOF | 99 | 0.17000 | 0.14517 | 0.10589 | 0.07914 | 0.18799 | 0.16370 | 0.72398 |
SimplifiedLOF | 100 | 0.17000 | 0.14517 | 0.10136 | 0.07447 | 0.18701 | 0.16269 | 0.72402 |
LoOP | 81 | 0.17000 | 0.14517 | 0.08803 | 0.06075 | 0.17259 | 0.14784 | 0.71406 |
LoOP | 96 | 0.17000 | 0.14517 | 0.09775 | 0.07076 | 0.17716 | 0.15254 | 0.71565 |
LoOP | 99 | 0.17000 | 0.14517 | 0.09271 | 0.06557 | 0.17436 | 0.14966 | 0.71599 |
LoOP | 100 | 0.17000 | 0.14517 | 0.09387 | 0.06677 | 0.17801 | 0.15342 | 0.71592 |
LDOF | 59 | 0.11000 | 0.08338 | 0.05412 | 0.02582 | 0.11304 | 0.08651 | 0.66756 |
LDOF | 98 | 0.08000 | 0.05248 | 0.05688 | 0.02866 | 0.12593 | 0.09978 | 0.68351 |
LDOF | 100 | 0.09000 | 0.06278 | 0.05722 | 0.02902 | 0.12319 | 0.09696 | 0.68442 |
ODIN | 97 | 0.05600 | 0.02776 | 0.05567 | 0.02742 | 0.12336 | 0.09714 | 0.69174 |
ODIN | 98 | 0.05143 | 0.02305 | 0.05590 | 0.02766 | 0.12371 | 0.09750 | 0.69182 |
ODIN | 100 | 0.05500 | 0.02673 | 0.05626 | 0.02802 | 0.12147 | 0.09519 | 0.69263 |
FastABOD | 15 | 0.07000 | 0.04218 | 0.04709 | 0.01859 | 0.09281 | 0.06568 | 0.65462 |
FastABOD | 30 | 0.05000 | 0.02158 | 0.04997 | 0.02155 | 0.10412 | 0.07732 | 0.67299 |
FastABOD | 31 | 0.04000 | 0.01128 | 0.04983 | 0.02140 | 0.10314 | 0.07631 | 0.67357 |
FastABOD | 34 | 0.05000 | 0.02158 | 0.04956 | 0.02113 | 0.10565 | 0.07890 | 0.67180 |
KDEOS | 2 | 0.07000 | 0.04218 | 0.03317 | 0.00425 | 0.07407 | 0.04638 | 0.51214 |
KDEOS | 5 | 0.03000 | 0.00098 | 0.03260 | 0.00367 | 0.08511 | 0.05774 | 0.50824 |
KDEOS | 8 | 0.04000 | 0.01128 | 0.03587 | 0.00703 | 0.06384 | 0.03584 | 0.53194 |
KDEOS | 100 | 0.03000 | 0.00098 | 0.03292 | 0.00399 | 0.07911 | 0.05157 | 0.57912 |
LDF | 26 | 0.30000 | 0.27906 | 0.26422 | 0.24222 | 0.31579 | 0.29532 | 0.77849 |
LDF | 28 | 0.29000 | 0.26876 | 0.26612 | 0.24416 | 0.32335 | 0.30311 | 0.78369 |
LDF | 100 | 0.25000 | 0.22757 | 0.22123 | 0.19793 | 0.27615 | 0.25450 | 0.78608 |
INFLO | 75 | 0.13000 | 0.10398 | 0.07910 | 0.05156 | 0.15132 | 0.12593 | 0.68777 |
INFLO | 82 | 0.12000 | 0.09368 | 0.08141 | 0.05393 | 0.15385 | 0.12853 | 0.69301 |
INFLO | 88 | 0.11000 | 0.08338 | 0.07582 | 0.04818 | 0.15743 | 0.13223 | 0.69485 |
INFLO | 97 | 0.11000 | 0.08338 | 0.07826 | 0.05069 | 0.16514 | 0.14016 | 0.69364 |
COF | 76 | 0.29000 | 0.26876 | 0.24481 | 0.22222 | 0.30052 | 0.27959 | 0.69973 |
COF | 96 | 0.29000 | 0.26876 | 0.24304 | 0.22039 | 0.31638 | 0.29594 | 0.71737 |
COF | 99 | 0.28000 | 0.25846 | 0.25039 | 0.22796 | 0.32941 | 0.30935 | 0.71554 |
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 (65.8 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 | 84 | 0.31000 | 0.28936 | 0.23750 | 0.21469 | 0.33155 | 0.31156 | 0.77383 |
KNN | 88 | 0.31000 | 0.28936 | 0.23728 | 0.21446 | 0.32632 | 0.30616 | 0.77434 |
KNN | 95 | 0.32000 | 0.29966 | 0.23825 | 0.21547 | 0.32836 | 0.30827 | 0.77399 |
KNN | 100 | 0.32000 | 0.29966 | 0.23908 | 0.21632 | 0.32461 | 0.30440 | 0.77432 |
KNNW | 97 | 0.27000 | 0.24816 | 0.21618 | 0.19273 | 0.29524 | 0.27416 | 0.76605 |
KNNW | 98 | 0.28000 | 0.25846 | 0.21636 | 0.19292 | 0.29524 | 0.27416 | 0.76613 |
KNNW | 100 | 0.28000 | 0.25846 | 0.21667 | 0.19324 | 0.29524 | 0.27416 | 0.76630 |
LOF | 92 | 0.25000 | 0.22757 | 0.18298 | 0.15854 | 0.28085 | 0.25934 | 0.76063 |
LOF | 93 | 0.25000 | 0.22757 | 0.18526 | 0.16089 | 0.27848 | 0.25690 | 0.76086 |
LOF | 97 | 0.26000 | 0.23786 | 0.18949 | 0.16525 | 0.27500 | 0.25331 | 0.76067 |
LOF | 100 | 0.25000 | 0.22757 | 0.19150 | 0.16732 | 0.27731 | 0.25569 | 0.76038 |
SimplifiedLOF | 98 | 0.16000 | 0.13487 | 0.12648 | 0.10035 | 0.21579 | 0.19233 | 0.73144 |
SimplifiedLOF | 99 | 0.16000 | 0.13487 | 0.12719 | 0.10108 | 0.21348 | 0.18996 | 0.73151 |
LoOP | 94 | 0.15000 | 0.12457 | 0.11224 | 0.08568 | 0.19895 | 0.17499 | 0.72229 |
LoOP | 98 | 0.15000 | 0.12457 | 0.11466 | 0.08818 | 0.20159 | 0.17771 | 0.72359 |
LoOP | 100 | 0.15000 | 0.12457 | 0.11529 | 0.08883 | 0.20000 | 0.17607 | 0.72322 |
LDOF | 99 | 0.13000 | 0.10398 | 0.06254 | 0.03450 | 0.13514 | 0.10926 | 0.69154 |
LDOF | 100 | 0.13000 | 0.10398 | 0.06232 | 0.03427 | 0.13761 | 0.11182 | 0.69149 |
ODIN | 61 | 0.05000 | 0.02158 | 0.04488 | 0.01631 | 0.09653 | 0.06951 | 0.65652 |
ODIN | 99 | 0.02652 | -0.00260 | 0.05370 | 0.02539 | 0.11966 | 0.09332 | 0.68714 |
ODIN | 100 | 0.02636 | -0.00276 | 0.05387 | 0.02557 | 0.12153 | 0.09525 | 0.68710 |
FastABOD | 3 | 0.04000 | 0.01128 | 0.03058 | 0.00158 | 0.06420 | 0.03620 | 0.49245 |
FastABOD | 6 | 0.01000 | -0.01961 | 0.03007 | 0.00105 | 0.06542 | 0.03746 | 0.52868 |
KDEOS | 11 | 0.02000 | -0.00931 | 0.03831 | 0.00954 | 0.07619 | 0.04856 | 0.53791 |
KDEOS | 13 | 0.05000 | 0.02158 | 0.03662 | 0.00780 | 0.07222 | 0.04447 | 0.53393 |
KDEOS | 16 | 0.03000 | 0.00098 | 0.03535 | 0.00649 | 0.08815 | 0.06088 | 0.53346 |
KDEOS | 99 | 0.02000 | -0.00931 | 0.03181 | 0.00285 | 0.07501 | 0.04734 | 0.56684 |
LDF | 49 | 0.37000 | 0.35115 | 0.32695 | 0.30682 | 0.37000 | 0.35115 | 0.78921 |
LDF | 52 | 0.36000 | 0.34086 | 0.32928 | 0.30922 | 0.38298 | 0.36452 | 0.78515 |
LDF | 92 | 0.35000 | 0.33056 | 0.31097 | 0.29036 | 0.38674 | 0.36840 | 0.78712 |
INFLO | 84 | 0.15000 | 0.12457 | 0.09118 | 0.06399 | 0.16887 | 0.14400 | 0.69816 |
INFLO | 90 | 0.14000 | 0.11427 | 0.09308 | 0.06595 | 0.17067 | 0.14586 | 0.70026 |
INFLO | 98 | 0.14000 | 0.11427 | 0.09649 | 0.06946 | 0.17500 | 0.15032 | 0.69540 |
INFLO | 100 | 0.14000 | 0.11427 | 0.09724 | 0.07024 | 0.17436 | 0.14966 | 0.69547 |
COF | 82 | 0.27000 | 0.24816 | 0.26568 | 0.24371 | 0.30058 | 0.27966 | 0.73994 |
COF | 88 | 0.30000 | 0.27906 | 0.27276 | 0.25101 | 0.31138 | 0.29078 | 0.73931 |
COF | 100 | 0.28000 | 0.25846 | 0.28207 | 0.26059 | 0.34146 | 0.32176 | 0.73183 |