Waveform (version#03)
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 (62.6 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 | 29 | 0.22000 | 0.19667 | 0.13367 | 0.10776 | 0.22111 | 0.19781 | 0.73786 |
KNN | 41 | 0.20000 | 0.17607 | 0.14290 | 0.11726 | 0.21395 | 0.19044 | 0.74186 |
KNN | 100 | 0.22000 | 0.19667 | 0.13752 | 0.11173 | 0.23645 | 0.21361 | 0.74910 |
KNNW | 49 | 0.21000 | 0.18637 | 0.13169 | 0.10572 | 0.21000 | 0.18637 | 0.73286 |
KNNW | 87 | 0.21000 | 0.18637 | 0.13687 | 0.11105 | 0.21569 | 0.19222 | 0.73904 |
KNNW | 100 | 0.21000 | 0.18637 | 0.13695 | 0.11114 | 0.21569 | 0.19222 | 0.74027 |
LOF | 93 | 0.18000 | 0.15547 | 0.12171 | 0.09543 | 0.19820 | 0.17421 | 0.73119 |
LOF | 100 | 0.18000 | 0.15547 | 0.12155 | 0.09527 | 0.20276 | 0.17892 | 0.73225 |
SimplifiedLOF | 4 | 0.14000 | 0.11427 | 0.09037 | 0.06316 | 0.18182 | 0.15734 | 0.63439 |
SimplifiedLOF | 5 | 0.17000 | 0.14517 | 0.08542 | 0.05806 | 0.17442 | 0.14972 | 0.64500 |
SimplifiedLOF | 99 | 0.16000 | 0.13487 | 0.10583 | 0.07908 | 0.17797 | 0.15338 | 0.71243 |
SimplifiedLOF | 100 | 0.17000 | 0.14517 | 0.10695 | 0.08023 | 0.17797 | 0.15338 | 0.71214 |
LoOP | 5 | 0.16000 | 0.13487 | 0.08336 | 0.05594 | 0.17964 | 0.15510 | 0.64163 |
LoOP | 95 | 0.15000 | 0.12457 | 0.10196 | 0.07510 | 0.17188 | 0.14710 | 0.70619 |
LoOP | 100 | 0.16000 | 0.13487 | 0.09738 | 0.07038 | 0.17814 | 0.15355 | 0.70803 |
LDOF | 9 | 0.13000 | 0.10398 | 0.05625 | 0.02802 | 0.13333 | 0.10741 | 0.63762 |
LDOF | 38 | 0.11000 | 0.08338 | 0.07224 | 0.04449 | 0.11650 | 0.09008 | 0.63746 |
LDOF | 75 | 0.12000 | 0.09368 | 0.06716 | 0.03925 | 0.13636 | 0.11053 | 0.65145 |
LDOF | 98 | 0.12000 | 0.09368 | 0.06196 | 0.03390 | 0.12060 | 0.09430 | 0.66208 |
ODIN | 91 | 0.10071 | 0.07381 | 0.06666 | 0.03874 | 0.11765 | 0.09125 | 0.68162 |
ODIN | 97 | 0.11000 | 0.08338 | 0.06472 | 0.03675 | 0.12030 | 0.09399 | 0.68277 |
ODIN | 100 | 0.10400 | 0.07720 | 0.06567 | 0.03772 | 0.12355 | 0.09733 | 0.68380 |
FastABOD | 5 | 0.11000 | 0.08338 | 0.05439 | 0.02611 | 0.13146 | 0.10547 | 0.62235 |
FastABOD | 11 | 0.10000 | 0.07308 | 0.05879 | 0.03064 | 0.11255 | 0.08601 | 0.63481 |
FastABOD | 17 | 0.06000 | 0.03188 | 0.05284 | 0.02450 | 0.10409 | 0.07729 | 0.63964 |
KDEOS | 5 | 0.04000 | 0.01128 | 0.04666 | 0.01814 | 0.06786 | 0.03998 | 0.54769 |
KDEOS | 6 | 0.04000 | 0.01128 | 0.05029 | 0.02188 | 0.07044 | 0.04264 | 0.56977 |
KDEOS | 98 | 0.01000 | -0.01961 | 0.03362 | 0.00471 | 0.07852 | 0.05096 | 0.58507 |
KDEOS | 100 | 0.01000 | -0.01961 | 0.03336 | 0.00445 | 0.07805 | 0.05048 | 0.58757 |
LDF | 14 | 0.31000 | 0.28936 | 0.18631 | 0.16197 | 0.31472 | 0.29422 | 0.73684 |
LDF | 41 | 0.28000 | 0.25846 | 0.22080 | 0.19749 | 0.28708 | 0.26576 | 0.75908 |
LDF | 77 | 0.24000 | 0.21727 | 0.18402 | 0.15961 | 0.26794 | 0.24604 | 0.76573 |
INFLO | 5 | 0.17000 | 0.14517 | 0.07600 | 0.04836 | 0.17617 | 0.15152 | 0.63329 |
INFLO | 92 | 0.16000 | 0.13487 | 0.08643 | 0.05910 | 0.17757 | 0.15297 | 0.70115 |
INFLO | 94 | 0.16000 | 0.13487 | 0.08969 | 0.06246 | 0.17757 | 0.15297 | 0.70221 |
INFLO | 100 | 0.15000 | 0.12457 | 0.08871 | 0.06145 | 0.17040 | 0.14559 | 0.70511 |
COF | 53 | 0.26000 | 0.23786 | 0.20749 | 0.18378 | 0.30409 | 0.28328 | 0.71818 |
COF | 59 | 0.29000 | 0.26876 | 0.22134 | 0.19805 | 0.29744 | 0.27642 | 0.72139 |
COF | 81 | 0.23000 | 0.20697 | 0.22580 | 0.20264 | 0.27778 | 0.25617 | 0.73269 |
COF | 88 | 0.26000 | 0.23786 | 0.23223 | 0.20926 | 0.28571 | 0.26435 | 0.72494 |
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 (63.4 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 | 42 | 0.27000 | 0.24816 | 0.18103 | 0.15653 | 0.27000 | 0.24816 | 0.74763 |
KNN | 88 | 0.24000 | 0.21727 | 0.19567 | 0.17161 | 0.27545 | 0.25378 | 0.76164 |
KNN | 92 | 0.24000 | 0.21727 | 0.19431 | 0.17021 | 0.28395 | 0.26253 | 0.76107 |
KNNW | 56 | 0.23000 | 0.20697 | 0.16933 | 0.14448 | 0.25767 | 0.23546 | 0.74159 |
KNNW | 94 | 0.24000 | 0.21727 | 0.17582 | 0.15117 | 0.25455 | 0.23225 | 0.74844 |
KNNW | 100 | 0.24000 | 0.21727 | 0.17767 | 0.15307 | 0.25610 | 0.23385 | 0.74921 |
LOF | 94 | 0.23000 | 0.20697 | 0.15697 | 0.13175 | 0.24204 | 0.21937 | 0.74485 |
LOF | 99 | 0.23000 | 0.20697 | 0.16210 | 0.13704 | 0.23899 | 0.21623 | 0.74498 |
SimplifiedLOF | 87 | 0.18000 | 0.15547 | 0.11782 | 0.09143 | 0.19383 | 0.16972 | 0.71675 |
SimplifiedLOF | 97 | 0.18000 | 0.15547 | 0.11965 | 0.09331 | 0.20370 | 0.17988 | 0.71969 |
SimplifiedLOF | 99 | 0.18000 | 0.15547 | 0.12058 | 0.09427 | 0.20561 | 0.18184 | 0.71955 |
SimplifiedLOF | 100 | 0.18000 | 0.15547 | 0.12105 | 0.09476 | 0.20276 | 0.17892 | 0.71958 |
LoOP | 95 | 0.17000 | 0.14517 | 0.11072 | 0.08412 | 0.18884 | 0.16458 | 0.71325 |
LoOP | 97 | 0.17000 | 0.14517 | 0.11101 | 0.08441 | 0.18447 | 0.16007 | 0.71413 |
LoOP | 99 | 0.18000 | 0.15547 | 0.11133 | 0.08475 | 0.18803 | 0.16375 | 0.71402 |
LoOP | 100 | 0.18000 | 0.15547 | 0.11161 | 0.08504 | 0.18565 | 0.16129 | 0.71405 |
LDOF | 64 | 0.12000 | 0.09368 | 0.07112 | 0.04333 | 0.15484 | 0.12956 | 0.65202 |
LDOF | 68 | 0.12000 | 0.09368 | 0.07157 | 0.04380 | 0.14815 | 0.12267 | 0.65912 |
LDOF | 86 | 0.13000 | 0.10398 | 0.06574 | 0.03779 | 0.13636 | 0.11053 | 0.66907 |
LDOF | 97 | 0.13000 | 0.10398 | 0.06550 | 0.03754 | 0.13065 | 0.10465 | 0.67502 |
ODIN | 73 | 0.10360 | 0.07679 | 0.05348 | 0.02517 | 0.10784 | 0.08116 | 0.66764 |
ODIN | 100 | 0.09000 | 0.06278 | 0.05850 | 0.03034 | 0.10833 | 0.08166 | 0.68261 |
FastABOD | 5 | 0.05000 | 0.02158 | 0.03029 | 0.00128 | 0.05834 | 0.03017 | 0.48331 |
FastABOD | 9 | 0.05000 | 0.02158 | 0.03284 | 0.00391 | 0.07143 | 0.04365 | 0.49953 |
FastABOD | 19 | 0.04000 | 0.01128 | 0.03225 | 0.00331 | 0.06025 | 0.03214 | 0.50196 |
FastABOD | 57 | 0.04000 | 0.01128 | 0.03492 | 0.00605 | 0.06127 | 0.03319 | 0.48955 |
KDEOS | 3 | 0.05000 | 0.02158 | 0.03622 | 0.00739 | 0.07771 | 0.05012 | 0.52774 |
KDEOS | 100 | 0.01000 | -0.01961 | 0.03225 | 0.00330 | 0.07480 | 0.04713 | 0.57596 |
LDF | 46 | 0.36000 | 0.34086 | 0.28901 | 0.26774 | 0.36181 | 0.34272 | 0.77449 |
LDF | 47 | 0.36000 | 0.34086 | 0.29058 | 0.26936 | 0.36735 | 0.34842 | 0.77756 |
LDF | 50 | 0.36000 | 0.34086 | 0.28950 | 0.26825 | 0.36250 | 0.34343 | 0.77934 |
LDF | 55 | 0.35000 | 0.33056 | 0.29221 | 0.27103 | 0.36471 | 0.34570 | 0.77463 |
INFLO | 5 | 0.15000 | 0.12457 | 0.07297 | 0.04524 | 0.15152 | 0.12613 | 0.61248 |
INFLO | 6 | 0.15000 | 0.12457 | 0.07844 | 0.05087 | 0.17778 | 0.15318 | 0.61547 |
INFLO | 92 | 0.15000 | 0.12457 | 0.10111 | 0.07422 | 0.15652 | 0.13129 | 0.71786 |
INFLO | 100 | 0.15000 | 0.12457 | 0.10420 | 0.07740 | 0.16594 | 0.14099 | 0.71768 |
COF | 70 | 0.29000 | 0.26876 | 0.25421 | 0.23190 | 0.30939 | 0.28873 | 0.71809 |
COF | 90 | 0.28000 | 0.25846 | 0.27001 | 0.24817 | 0.32927 | 0.30920 | 0.72906 |
COF | 98 | 0.29000 | 0.26876 | 0.27589 | 0.25423 | 0.32558 | 0.30541 | 0.72924 |
COF | 100 | 0.29000 | 0.26876 | 0.27545 | 0.25378 | 0.32768 | 0.30757 | 0.73397 |