Waveform (version#10)
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 (64.9 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 | 62 | 0.24000 | 0.21727 | 0.17454 | 0.14985 | 0.25137 | 0.22897 | 0.77119 |
KNN | 77 | 0.24000 | 0.21727 | 0.18202 | 0.15755 | 0.25137 | 0.22897 | 0.77551 |
KNN | 94 | 0.24000 | 0.21727 | 0.18482 | 0.16044 | 0.25556 | 0.23329 | 0.77367 |
KNN | 100 | 0.24000 | 0.21727 | 0.18546 | 0.16110 | 0.24865 | 0.22617 | 0.77347 |
KNNW | 47 | 0.23000 | 0.20697 | 0.15331 | 0.12798 | 0.23585 | 0.21299 | 0.76025 |
KNNW | 100 | 0.23000 | 0.20697 | 0.17002 | 0.14519 | 0.24339 | 0.22075 | 0.76786 |
LOF | 78 | 0.20000 | 0.17607 | 0.13005 | 0.10403 | 0.21395 | 0.19044 | 0.75469 |
LOF | 96 | 0.20000 | 0.17607 | 0.13881 | 0.11304 | 0.22222 | 0.19896 | 0.75600 |
LOF | 100 | 0.20000 | 0.17607 | 0.14052 | 0.11481 | 0.22472 | 0.20153 | 0.75542 |
SimplifiedLOF | 100 | 0.17000 | 0.14517 | 0.10626 | 0.07952 | 0.18797 | 0.16368 | 0.72948 |
LoOP | 98 | 0.15000 | 0.12457 | 0.09690 | 0.06988 | 0.16997 | 0.14514 | 0.72059 |
LoOP | 100 | 0.15000 | 0.12457 | 0.09850 | 0.07153 | 0.17530 | 0.15063 | 0.72368 |
LDOF | 41 | 0.06000 | 0.03188 | 0.05167 | 0.02330 | 0.10833 | 0.08166 | 0.67135 |
LDOF | 62 | 0.09000 | 0.06278 | 0.05167 | 0.02330 | 0.09903 | 0.07208 | 0.67448 |
LDOF | 100 | 0.09000 | 0.06278 | 0.05419 | 0.02590 | 0.10172 | 0.07485 | 0.68824 |
ODIN | 88 | 0.08000 | 0.05248 | 0.05346 | 0.02514 | 0.10390 | 0.07709 | 0.69139 |
ODIN | 100 | 0.04625 | 0.01772 | 0.05565 | 0.02740 | 0.11018 | 0.08357 | 0.69678 |
FastABOD | 10 | 0.04000 | 0.01128 | 0.05078 | 0.02239 | 0.12283 | 0.09660 | 0.66448 |
FastABOD | 18 | 0.07000 | 0.04218 | 0.05102 | 0.02263 | 0.10435 | 0.07756 | 0.66721 |
FastABOD | 24 | 0.04000 | 0.01128 | 0.05145 | 0.02308 | 0.10313 | 0.07630 | 0.66875 |
FastABOD | 40 | 0.05000 | 0.02158 | 0.05041 | 0.02201 | 0.10832 | 0.08165 | 0.67309 |
KDEOS | 5 | 0.07000 | 0.04218 | 0.03543 | 0.00658 | 0.07955 | 0.05201 | 0.55424 |
KDEOS | 16 | 0.03000 | 0.00098 | 0.03584 | 0.00700 | 0.07496 | 0.04729 | 0.57584 |
KDEOS | 99 | 0.03000 | 0.00098 | 0.03443 | 0.00554 | 0.07780 | 0.05021 | 0.59240 |
LDF | 16 | 0.26000 | 0.23786 | 0.23791 | 0.21511 | 0.29487 | 0.27378 | 0.78892 |
LDF | 19 | 0.29000 | 0.26876 | 0.25431 | 0.23200 | 0.31847 | 0.29808 | 0.77864 |
LDF | 34 | 0.27000 | 0.24816 | 0.26579 | 0.24382 | 0.31429 | 0.29377 | 0.76486 |
LDF | 49 | 0.27000 | 0.24816 | 0.25824 | 0.23605 | 0.33333 | 0.31339 | 0.77394 |
INFLO | 83 | 0.13000 | 0.10398 | 0.08370 | 0.05629 | 0.15385 | 0.12853 | 0.70703 |
INFLO | 94 | 0.12000 | 0.09368 | 0.08331 | 0.05589 | 0.15873 | 0.13357 | 0.70921 |
INFLO | 96 | 0.13000 | 0.10398 | 0.08313 | 0.05570 | 0.16043 | 0.13531 | 0.70471 |
INFLO | 100 | 0.13000 | 0.10398 | 0.08548 | 0.05812 | 0.15888 | 0.13372 | 0.70493 |
COF | 77 | 0.31000 | 0.28936 | 0.25442 | 0.23212 | 0.31285 | 0.29229 | 0.76790 |
COF | 79 | 0.31000 | 0.28936 | 0.25751 | 0.23530 | 0.34682 | 0.32728 | 0.76803 |
COF | 99 | 0.30000 | 0.27906 | 0.26955 | 0.24770 | 0.31250 | 0.29193 | 0.77594 |
COF | 100 | 0.28000 | 0.25846 | 0.27072 | 0.24890 | 0.31847 | 0.29808 | 0.77311 |
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 (64.6 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 | 40 | 0.28000 | 0.25846 | 0.22518 | 0.20200 | 0.30000 | 0.27906 | 0.78886 |
KNN | 70 | 0.27000 | 0.24816 | 0.24480 | 0.22221 | 0.30882 | 0.28815 | 0.79615 |
KNN | 96 | 0.28000 | 0.25846 | 0.25273 | 0.23038 | 0.30657 | 0.28583 | 0.80088 |
KNN | 99 | 0.28000 | 0.25846 | 0.25221 | 0.22984 | 0.30657 | 0.28583 | 0.80150 |
KNNW | 75 | 0.25000 | 0.22757 | 0.21917 | 0.19582 | 0.29787 | 0.27687 | 0.78852 |
KNNW | 79 | 0.26000 | 0.23786 | 0.22049 | 0.19717 | 0.29787 | 0.27687 | 0.78904 |
KNNW | 100 | 0.26000 | 0.23786 | 0.22524 | 0.20206 | 0.29787 | 0.27687 | 0.79179 |
LOF | 99 | 0.23000 | 0.20697 | 0.19985 | 0.17591 | 0.27972 | 0.25817 | 0.78325 |
LOF | 100 | 0.24000 | 0.21727 | 0.19936 | 0.17541 | 0.27972 | 0.25817 | 0.78334 |
SimplifiedLOF | 93 | 0.20000 | 0.17607 | 0.12534 | 0.09918 | 0.20853 | 0.18486 | 0.74552 |
SimplifiedLOF | 98 | 0.20000 | 0.17607 | 0.12861 | 0.10254 | 0.21395 | 0.19044 | 0.74700 |
SimplifiedLOF | 99 | 0.20000 | 0.17607 | 0.12915 | 0.10310 | 0.21395 | 0.19044 | 0.74759 |
SimplifiedLOF | 100 | 0.20000 | 0.17607 | 0.13038 | 0.10437 | 0.21277 | 0.18922 | 0.74757 |
LoOP | 99 | 0.17000 | 0.14517 | 0.11540 | 0.08894 | 0.20657 | 0.18284 | 0.74019 |
LoOP | 100 | 0.18000 | 0.15547 | 0.11507 | 0.08860 | 0.20755 | 0.18384 | 0.74037 |
LDOF | 89 | 0.09000 | 0.06278 | 0.05912 | 0.03097 | 0.11961 | 0.09328 | 0.69906 |
LDOF | 91 | 0.09000 | 0.06278 | 0.05956 | 0.03143 | 0.11966 | 0.09332 | 0.70122 |
LDOF | 100 | 0.08000 | 0.05248 | 0.06011 | 0.03200 | 0.11589 | 0.08945 | 0.70553 |
ODIN | 69 | 0.05250 | 0.02416 | 0.04736 | 0.01887 | 0.10095 | 0.07406 | 0.68151 |
ODIN | 100 | 0.05000 | 0.02158 | 0.05387 | 0.02556 | 0.11006 | 0.08344 | 0.70310 |
FastABOD | 15 | 0.05000 | 0.02158 | 0.03419 | 0.00530 | 0.06984 | 0.04202 | 0.53686 |
FastABOD | 16 | 0.04000 | 0.01128 | 0.03399 | 0.00510 | 0.07166 | 0.04389 | 0.53818 |
KDEOS | 7 | 0.02000 | -0.00931 | 0.04214 | 0.01348 | 0.06457 | 0.03659 | 0.53729 |
KDEOS | 17 | 0.06000 | 0.03188 | 0.03983 | 0.01110 | 0.09770 | 0.07071 | 0.57463 |
KDEOS | 100 | 0.03000 | 0.00098 | 0.03299 | 0.00407 | 0.07509 | 0.04742 | 0.57901 |
LDF | 14 | 0.35000 | 0.33056 | 0.31281 | 0.29225 | 0.36264 | 0.34357 | 0.79495 |
LDF | 18 | 0.34000 | 0.32026 | 0.34028 | 0.32054 | 0.35036 | 0.33093 | 0.80031 |
LDF | 65 | 0.31000 | 0.28936 | 0.32932 | 0.30926 | 0.38095 | 0.36243 | 0.81436 |
LDF | 100 | 0.33000 | 0.30996 | 0.32387 | 0.30364 | 0.34074 | 0.32102 | 0.82525 |
INFLO | 77 | 0.13000 | 0.10398 | 0.08200 | 0.05454 | 0.15528 | 0.13001 | 0.71414 |
INFLO | 93 | 0.12000 | 0.09368 | 0.09327 | 0.06614 | 0.17121 | 0.14641 | 0.71776 |
INFLO | 97 | 0.12000 | 0.09368 | 0.09596 | 0.06892 | 0.16598 | 0.14103 | 0.71919 |
INFLO | 99 | 0.12000 | 0.09368 | 0.09561 | 0.06856 | 0.16725 | 0.14234 | 0.72102 |
COF | 71 | 0.27000 | 0.24816 | 0.28366 | 0.26223 | 0.31507 | 0.29458 | 0.79283 |
COF | 93 | 0.33000 | 0.30996 | 0.32189 | 0.30160 | 0.34532 | 0.32574 | 0.79032 |
COF | 97 | 0.33000 | 0.30996 | 0.32480 | 0.30460 | 0.36364 | 0.34460 | 0.78780 |
COF | 100 | 0.32000 | 0.29966 | 0.33070 | 0.31068 | 0.36000 | 0.34086 | 0.78803 |