From: Leveraging change point detection to discover natural experiments in data
 | \(n_{c}\) | 2 | 4 | 6 | 8 | 10 | 6 | 6 | 6 | 6 |
---|---|---|---|---|---|---|---|---|---|---|
 | \(t_{0}\) | 0.5 | 0.5 | 0.5 | 0.5 | 0.5 | 0.2 | 0.4 | 0.6 | 0.8 |
MtChD (RF) | \(\mu (t_{0})\) | 0.5002 | 0.4983 | 0.4976 | 0.5000 | 0.4959 | 0.1950 | 0.3937 | 0.6014 | 0.8020 |
\(\sigma (t_{0})\) | 0.0025 | 0.0017 | 0.0033 | 0.0005 | 0.0049 | 0.0047 | 0.0052 | 0.0023 | 0.0022 | |
μ(α) | 0.9494 | 0.9137 | 0.8562 | 0.7604 | 0.6573 | 0.6503 | 0.8429 | 0.8316 | 0.6580 | |
σ(α) | 0.0077 | 0.0041 | 0.0119 | 0.0220 | 0.0156 | 0.0346 | 0.0076 | 0.0133 | 0.0276 | |
MtChD (MLP) | \(\mu (t_{0})\) | 0.5027 | 0.5003 | 0.5262 | 0.5084 | 0.5772 | 0.5649 | 0.4095 | 0.5962 | 0.5372 |
\(\sigma (t_{0})\) | 0.0027 | 0.0039 | 0.0173 | 0.0962 | 0.0569 | 0.0450 | 0.0258 | 0.0668 | 0.1315 | |
μ(α) | 0.9589 | 0.8289 | 0.6249 | 0.0048 | 0.0086 | 0.0045 | 0.4906 | 0.3950 | 0.0171 | |
σ(α) | 0.0095 | 0.0366 | 0.0710 | 0.0068 | 0.0080 | 0.0035 | 0.0534 | 0.1112 | 0.0202 | |
Naive Confusion (RF) | \(\mu (t_{0})\) | 0.4965 | 0.5017 | 0.4974 | 0.4975 | 0.4973 | 0.2271 | 0.4255 | 0.5235 | 0.5436 |
\(\sigma (t_{0})\) | 0.0018 | 0.0019 | 0.0004 | 0.0001 | 0.0001 | 0.0382 | 0.0312 | 0.0229 | 0.0900 | |
DP + Normal | \(\mu (t_{0})\) | 0.5003 | 0.5006 | 0.5212 | 0.7238 | 0.5971 | 0.2441 | 0.4578 | 0.5885 | 0.8108 |
(GLR eq.) | \(\sigma (t_{0})\) | 0.0004 | 0.0005 | 0.0204 | 0.2762 | 0.3374 | 0.0377 | 0.0447 | 0.0266 | 0.0288 |
DP + RBF | \(\mu (t_{0})\) | 0.5002 | 0.5001 | 0.5673 | 0.9495 | 0.3071 | 0.3740 | 0.4234 | 0.5827 | 0.8355 |
\(\sigma (t_{0})\) | 0.0004 | 0.0019 | 0.0684 | 0.0679 | 0.2392 | 0.2840 | 0.1893 | 0.0246 | 0.0654 | |
DP + L2 | \(\mu (t_{0})\) | 0.9510 | 0.9875 | 0.3515 | 0.8584 | 0.5143 | 0.4451 | 0.3183 | 0.3104 | 0.2917 |
\(\sigma (t_{0})\) | 0.0099 | 0.0062 | 0.2399 | 0.2734 | 0.4006 | 0.3481 | 0.4417 | 0.4252 | 0.3778 | |
DP + L1 | \(\mu (t_{0})\) | 0.9569 | 0.5313 | 0.5809 | 0.6053 | 0.4015 | 0.5526 | 0.1277 | 0.4916 | 0.2114 |
\(\sigma (t_{0})\) | 0.0070 | 0.2660 | 0.1677 | 0.4027 | 0.3308 | 0.4467 | 0.1873 | 0.3832 | 0.3312 | |
BinSeg + RBF | \(\mu (t_{0})\) | 0.5002 | 0.4995 | 0.5701 | 0.7663 | 0.5635 | 0.3133 | 0.3850 | 0.6049 | 0.7258 |
\(\sigma (t_{0})\) | 0.0002 | 0.0011 | 0.0502 | 0.3205 | 0.2190 | 0.3285 | 0.3702 | 0.1506 | 0.2715 | |
Window + RBF | \(\mu (t_{0})\) | 0.4391 | 0.5653 | 0.2960 | 0.5699 | 0.2444 | 0.4746 | 0.5654 | 0.7964 | 0.3987 |
\(\sigma (t_{0})\) | 0.1364 | 0.2210 | 0.2139 | 0.1738 | 0.1012 | 0.2436 | 0.2459 | 0.2223 | 0.3159 | |
BottomUp + RBF | \(\mu (t_{0})\) | 0.5002 | 0.4581 | 0.4500 | 0.6821 | 0.4947 | 0.4271 | 0.5213 | 0.4602 | 0.5861 |
\(\sigma (t_{0})\) | 0.0008 | 0.1477 | 0.3655 | 0.2879 | 0.3144 | 0.3059 | 0.2149 | 0.2885 | 0.2953 | |
Uniform +Â Gaussian | \(\mu (t_{0})\) | 0.5474 | 0.5429 | 0.3915 | 0.4717 | 0.5429 | 0.6171 | 0.7546 | 0.5210 | 0.5196 |
\(\sigma (t_{0})\) | 0.2299 | 0.3010 | 0.1567 | 0.2265 | 0.2159 | 0.2842 | 0.2203 | 0.1549 | 0.3386 | |
Uniform + IFM | \(\mu (t_{0})\) | 0.9969 | 0.9942 | 0.9973 | 0.9975 | 0.9975 | 0.9986 | 0.9958 | 0.9973 | 0.9985 |
\(\sigma (t_{0})\) | 0.0031 | 0.0030 | 0.0020 | 0.0015 | 0.0030 | 0.0015 | 0.0049 | 0.0026 | 0.0012 | |
Uniform +Â FullCov | \(\mu (t_{0})\) | 0.4985 | 0.5089 | 0.9986 | 0.9976 | 0.9989 | 0.9930 | 0.9280 | 0.9982 | 0.9974 |
\(\sigma (t_{0})\) | 0.0002 | 0.0163 | 0.0006 | 0.0010 | 0.0009 | 0.0098 | 0.1593 | 0.0020 | 0.0038 | |
Geo + Gaussian | \(\mu (t_{0})\) | 0.0282 | 0.0271 | 0.0286 | 0.0323 | 0.0278 | 0.0326 | 0.0340 | 0.0312 | 0.0254 |
\(\sigma (t_{0})\) | 0.0044 | 0.0018 | 0.0044 | 0.0054 | 0.0037 | 0.0063 | 0.0034 | 0.0051 | 0.0037 |