Waveform (version#08)
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 (62.4 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 | 4 | 0.23000 | 0.20697 | 0.17257 | 0.14782 | 0.23958 | 0.21684 | 0.72092 |
KNN | 79 | 0.22000 | 0.19667 | 0.19533 | 0.17126 | 0.24727 | 0.22476 | 0.76098 |
KNN | 90 | 0.22000 | 0.19667 | 0.19884 | 0.17488 | 0.24113 | 0.21843 | 0.76303 |
KNN | 98 | 0.22000 | 0.19667 | 0.19614 | 0.17209 | 0.24028 | 0.21756 | 0.76486 |
KNNW | 20 | 0.23000 | 0.20697 | 0.17065 | 0.14584 | 0.23000 | 0.20697 | 0.73122 |
KNNW | 67 | 0.22000 | 0.19667 | 0.18878 | 0.16451 | 0.23656 | 0.21372 | 0.74935 |
KNNW | 83 | 0.22000 | 0.19667 | 0.19021 | 0.16598 | 0.23280 | 0.20985 | 0.75184 |
KNNW | 100 | 0.22000 | 0.19667 | 0.18984 | 0.16560 | 0.23396 | 0.21105 | 0.75405 |
LOF | 77 | 0.22000 | 0.19667 | 0.17458 | 0.14989 | 0.22785 | 0.20475 | 0.74422 |
LOF | 79 | 0.21000 | 0.18637 | 0.17506 | 0.15038 | 0.23226 | 0.20929 | 0.74484 |
LOF | 81 | 0.21000 | 0.18637 | 0.17551 | 0.15085 | 0.22819 | 0.20510 | 0.74512 |
LOF | 100 | 0.22000 | 0.19667 | 0.17429 | 0.14959 | 0.22680 | 0.20368 | 0.74807 |
SimplifiedLOF | 52 | 0.19000 | 0.16577 | 0.12473 | 0.09855 | 0.19178 | 0.16760 | 0.70715 |
SimplifiedLOF | 79 | 0.18000 | 0.15547 | 0.13737 | 0.11157 | 0.22222 | 0.19896 | 0.71486 |
SimplifiedLOF | 95 | 0.19000 | 0.16577 | 0.14714 | 0.12163 | 0.21053 | 0.18691 | 0.71713 |
SimplifiedLOF | 96 | 0.19000 | 0.16577 | 0.14688 | 0.12136 | 0.20732 | 0.18361 | 0.71728 |
LoOP | 76 | 0.18000 | 0.15547 | 0.12890 | 0.10284 | 0.21687 | 0.19344 | 0.70929 |
LoOP | 91 | 0.18000 | 0.15547 | 0.13820 | 0.11243 | 0.19890 | 0.17493 | 0.71354 |
LoOP | 96 | 0.18000 | 0.15547 | 0.13435 | 0.10845 | 0.20118 | 0.17729 | 0.71488 |
LoOP | 99 | 0.19000 | 0.16577 | 0.13346 | 0.10754 | 0.20112 | 0.17722 | 0.71330 |
LDOF | 15 | 0.14000 | 0.11427 | 0.07176 | 0.04399 | 0.16143 | 0.13635 | 0.67656 |
LDOF | 17 | 0.15000 | 0.12457 | 0.07525 | 0.04759 | 0.15306 | 0.12773 | 0.67441 |
LDOF | 83 | 0.12000 | 0.09368 | 0.07897 | 0.05142 | 0.14232 | 0.11667 | 0.67758 |
LDOF | 92 | 0.13000 | 0.10398 | 0.07397 | 0.04626 | 0.14493 | 0.11935 | 0.68008 |
ODIN | 76 | 0.13000 | 0.10398 | 0.06737 | 0.03947 | 0.13265 | 0.10671 | 0.68136 |
ODIN | 93 | 0.12000 | 0.09368 | 0.07356 | 0.04585 | 0.13559 | 0.10974 | 0.68934 |
ODIN | 94 | 0.12263 | 0.09639 | 0.07499 | 0.04732 | 0.12658 | 0.10046 | 0.68962 |
ODIN | 100 | 0.12118 | 0.09489 | 0.07075 | 0.04296 | 0.13408 | 0.10818 | 0.69322 |
FastABOD | 6 | 0.12000 | 0.09368 | 0.06436 | 0.03637 | 0.13139 | 0.10540 | 0.65373 |
FastABOD | 10 | 0.11000 | 0.08338 | 0.06665 | 0.03873 | 0.12366 | 0.09744 | 0.66734 |
FastABOD | 22 | 0.09000 | 0.06278 | 0.05988 | 0.03176 | 0.12568 | 0.09953 | 0.66997 |
KDEOS | 9 | 0.08000 | 0.05248 | 0.04061 | 0.01191 | 0.09009 | 0.06287 | 0.56585 |
KDEOS | 13 | 0.06000 | 0.03188 | 0.04267 | 0.01403 | 0.10048 | 0.07357 | 0.58895 |
KDEOS | 18 | 0.07000 | 0.04218 | 0.04415 | 0.01556 | 0.09114 | 0.06395 | 0.59429 |
LDF | 26 | 0.27000 | 0.24816 | 0.25013 | 0.22770 | 0.29371 | 0.27258 | 0.74707 |
LDF | 43 | 0.26000 | 0.23786 | 0.24261 | 0.21995 | 0.31507 | 0.29458 | 0.76421 |
LDF | 56 | 0.30000 | 0.27906 | 0.23502 | 0.21213 | 0.30392 | 0.28310 | 0.77021 |
LDF | 99 | 0.26000 | 0.23786 | 0.23207 | 0.20910 | 0.28409 | 0.26268 | 0.78378 |
INFLO | 68 | 0.19000 | 0.16577 | 0.11850 | 0.09214 | 0.19095 | 0.16675 | 0.70767 |
INFLO | 99 | 0.15000 | 0.12457 | 0.12432 | 0.09813 | 0.19214 | 0.16797 | 0.71566 |
INFLO | 100 | 0.16000 | 0.13487 | 0.12506 | 0.09888 | 0.19469 | 0.17060 | 0.71561 |
COF | 69 | 0.30000 | 0.27906 | 0.22722 | 0.20411 | 0.30303 | 0.28218 | 0.70259 |
COF | 82 | 0.27000 | 0.24816 | 0.23672 | 0.21389 | 0.32530 | 0.30512 | 0.70848 |
COF | 91 | 0.29000 | 0.26876 | 0.24147 | 0.21878 | 0.30851 | 0.28783 | 0.71213 |
COF | 99 | 0.27000 | 0.24816 | 0.22918 | 0.20612 | 0.27692 | 0.25529 | 0.71892 |
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 (62.8 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 | 32 | 0.28000 | 0.25846 | 0.24491 | 0.22233 | 0.30000 | 0.27906 | 0.76020 |
KNN | 39 | 0.27000 | 0.24816 | 0.24669 | 0.22416 | 0.31373 | 0.29320 | 0.76268 |
KNN | 83 | 0.27000 | 0.24816 | 0.25639 | 0.23415 | 0.30120 | 0.28030 | 0.77166 |
KNN | 100 | 0.27000 | 0.24816 | 0.25532 | 0.23305 | 0.29586 | 0.27479 | 0.77341 |
KNNW | 84 | 0.27000 | 0.24816 | 0.23897 | 0.21621 | 0.29870 | 0.27772 | 0.75827 |
KNNW | 86 | 0.27000 | 0.24816 | 0.23923 | 0.21648 | 0.30065 | 0.27973 | 0.75862 |
KNNW | 98 | 0.27000 | 0.24816 | 0.24216 | 0.21949 | 0.30065 | 0.27973 | 0.76028 |
KNNW | 100 | 0.27000 | 0.24816 | 0.24213 | 0.21946 | 0.29870 | 0.27772 | 0.76051 |
LOF | 69 | 0.25000 | 0.22757 | 0.20597 | 0.18222 | 0.30000 | 0.27906 | 0.75206 |
LOF | 73 | 0.26000 | 0.23786 | 0.20980 | 0.18616 | 0.28966 | 0.26841 | 0.75278 |
LOF | 99 | 0.25000 | 0.22757 | 0.22417 | 0.20096 | 0.29371 | 0.27258 | 0.75829 |
SimplifiedLOF | 95 | 0.21000 | 0.18637 | 0.17607 | 0.15143 | 0.27143 | 0.24963 | 0.72344 |
SimplifiedLOF | 97 | 0.22000 | 0.19667 | 0.17599 | 0.15134 | 0.26573 | 0.24377 | 0.72402 |
SimplifiedLOF | 99 | 0.22000 | 0.19667 | 0.17833 | 0.15375 | 0.26761 | 0.24570 | 0.72455 |
SimplifiedLOF | 100 | 0.22000 | 0.19667 | 0.17960 | 0.15506 | 0.26761 | 0.24570 | 0.72453 |
LoOP | 59 | 0.21000 | 0.18637 | 0.13080 | 0.10480 | 0.21106 | 0.18746 | 0.70716 |
LoOP | 95 | 0.20000 | 0.17607 | 0.16665 | 0.14172 | 0.25714 | 0.23492 | 0.71876 |
LoOP | 100 | 0.20000 | 0.17607 | 0.16638 | 0.14144 | 0.25000 | 0.22757 | 0.72018 |
LDOF | 63 | 0.14000 | 0.11427 | 0.08077 | 0.05328 | 0.16271 | 0.13767 | 0.68851 |
LDOF | 65 | 0.15000 | 0.12457 | 0.08509 | 0.05773 | 0.15190 | 0.12653 | 0.68921 |
LDOF | 67 | 0.15000 | 0.12457 | 0.08666 | 0.05934 | 0.15385 | 0.12853 | 0.68946 |
LDOF | 100 | 0.12000 | 0.09368 | 0.08451 | 0.05712 | 0.16260 | 0.13755 | 0.69955 |
ODIN | 87 | 0.11259 | 0.08605 | 0.06671 | 0.03879 | 0.12739 | 0.10129 | 0.68471 |
ODIN | 93 | 0.11870 | 0.09233 | 0.06662 | 0.03870 | 0.12273 | 0.09649 | 0.68992 |
ODIN | 98 | 0.10900 | 0.08235 | 0.06686 | 0.03894 | 0.12621 | 0.10008 | 0.69291 |
ODIN | 99 | 0.11467 | 0.08818 | 0.06772 | 0.03984 | 0.12683 | 0.10071 | 0.69265 |
FastABOD | 3 | 0.05000 | 0.02158 | 0.03044 | 0.00144 | 0.06125 | 0.03317 | 0.49917 |
FastABOD | 10 | 0.04000 | 0.01128 | 0.03543 | 0.00658 | 0.06972 | 0.04189 | 0.53464 |
FastABOD | 13 | 0.03000 | 0.00098 | 0.03597 | 0.00714 | 0.07437 | 0.04668 | 0.53163 |
FastABOD | 46 | 0.02000 | -0.00931 | 0.03750 | 0.00871 | 0.06593 | 0.03799 | 0.52047 |
KDEOS | 16 | 0.03000 | 0.00098 | 0.03773 | 0.00894 | 0.08915 | 0.06190 | 0.57389 |
KDEOS | 21 | 0.06000 | 0.03188 | 0.03581 | 0.00697 | 0.07524 | 0.04757 | 0.56709 |
LDF | 52 | 0.34000 | 0.32026 | 0.31764 | 0.29723 | 0.35749 | 0.33827 | 0.79352 |
LDF | 54 | 0.35000 | 0.33056 | 0.31360 | 0.29307 | 0.35533 | 0.33605 | 0.79211 |
LDF | 83 | 0.34000 | 0.32026 | 0.30786 | 0.28716 | 0.36449 | 0.34548 | 0.79724 |
LDF | 95 | 0.34000 | 0.32026 | 0.30312 | 0.28227 | 0.34951 | 0.33006 | 0.79956 |
INFLO | 58 | 0.19000 | 0.16577 | 0.11836 | 0.09198 | 0.19000 | 0.16577 | 0.71047 |
INFLO | 89 | 0.19000 | 0.16577 | 0.14768 | 0.12218 | 0.23022 | 0.20719 | 0.71410 |
INFLO | 100 | 0.19000 | 0.16577 | 0.14857 | 0.12310 | 0.22059 | 0.19727 | 0.71960 |
COF | 54 | 0.25000 | 0.22757 | 0.22759 | 0.20449 | 0.30882 | 0.28815 | 0.70434 |
COF | 81 | 0.29000 | 0.26876 | 0.24832 | 0.22583 | 0.30526 | 0.28448 | 0.71461 |
COF | 83 | 0.29000 | 0.26876 | 0.25049 | 0.22807 | 0.29545 | 0.27438 | 0.71696 |
COF | 96 | 0.25000 | 0.22757 | 0.24694 | 0.22441 | 0.29008 | 0.26884 | 0.72778 |