Dataset Viewer
Search is not available for this dataset
t
float64 0
1.5k
| u_1
float64 -1.5
1.5
| y_1
float64 -5.6
5.63
| x_1
float64 -2.62
2.61
| x_2
float64 -3.07
3.03
| x_3
float64 -3.75
3.77
| x_4
float64 -2.17
2.16
| x_5
float64 -4.92
4.95
| x_6
float64 -1.66
1.68
| x_7
float64 -5.56
5.59
| x_8
float64 -1.6
1.61
|
|---|---|---|---|---|---|---|---|---|---|---|
0 | -1.005603 | 0.015007 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
0.2 | -1.005603 | 0.033594 | -0.069145 | -0.640459 | -0.004423 | -0.062198 | -0.000214 | -0.004048 | -0.000009 | -0.000208 |
0.4 | -1.005603 | -0.005529 | -0.239495 | -1.029086 | -0.029466 | -0.194676 | -0.002766 | -0.02476 | -0.000226 | -0.002595 |
0.6 | -1.005603 | -0.022145 | -0.469599 | -1.249063 | -0.083517 | -0.346335 | -0.011412 | -0.064666 | -0.001406 | -0.010348 |
0.8 | -1.005603 | -0.022793 | -0.731566 | -1.355238 | -0.167523 | -0.491221 | -0.029662 | -0.119978 | -0.00489 | -0.025949 |
1 | -1.005603 | 0.037626 | -1.006919 | -1.385004 | -0.278637 | -0.617762 | -0.060094 | -0.185198 | -0.012389 | -0.050659 |
1.2 | -1.005603 | -0.041158 | -1.277323 | -1.294308 | -0.412609 | -0.715446 | -0.104126 | -0.255631 | -0.025756 | -0.084447 |
1.4 | -1.005603 | -0.036661 | -1.515069 | -1.069154 | -0.562039 | -0.768471 | -0.162219 | -0.324962 | -0.046721 | -0.126399 |
1.6 | -1.005603 | -0.067614 | -1.701617 | -0.792279 | -0.716971 | -0.772984 | -0.233516 | -0.3863 | -0.07673 | -0.174484 |
1.8 | -1.005603 | -0.121437 | -1.831936 | -0.514532 | -0.868401 | -0.735887 | -0.315932 | -0.435299 | -0.116731 | -0.2258 |
2 | -1.005603 | -0.165428 | -1.909501 | -0.269792 | -1.009364 | -0.668775 | -0.406726 | -0.470057 | -0.167047 | -0.277261 |
2.2 | -1.005603 | -0.172796 | -1.943381 | -0.076847 | -1.134817 | -0.585712 | -0.502976 | -0.490279 | -0.227457 | -0.326009 |
2.4 | -1.005603 | -0.284755 | -1.944139 | 0.058875 | -1.243096 | -0.497257 | -0.602003 | -0.497931 | -0.297147 | -0.369887 |
2.6 | -1.005603 | -0.415918 | -1.923392 | 0.140376 | -1.334006 | -0.413144 | -0.701485 | -0.495459 | -0.374985 | -0.407348 |
2.8 | -1.005603 | -0.511759 | -1.89117 | 0.175947 | -1.409044 | -0.339515 | -0.799684 | -0.485719 | -0.459606 | -0.437624 |
3 | -1.005603 | -0.609093 | -1.855393 | 0.176486 | -1.470685 | -0.279497 | -0.895458 | -0.471427 | -0.549555 | -0.46063 |
3.2 | -1.005603 | -0.674393 | -1.822134 | 0.153807 | -1.521831 | -0.234168 | -0.988112 | -0.454985 | -0.643396 | -0.476735 |
3.4 | -1.005603 | -0.778805 | -1.794826 | 0.117857 | -1.565272 | -0.2026 | -1.07741 | -0.438084 | -0.739836 | -0.486673 |
3.6 | -1.005603 | -0.807644 | -1.775279 | 0.0774 | -1.603635 | -0.182757 | -1.163395 | -0.421951 | -0.83772 | -0.491373 |
3.8 | -1.005603 | -0.984273 | -1.763763 | 0.038627 | -1.639011 | -0.172059 | -1.246288 | -0.407234 | -0.936095 | -0.491799 |
4 | -1.005603 | -1.059728 | -1.759532 | 0.005286 | -1.672895 | -0.16788 | -1.326384 | -0.394119 | -1.034212 | -0.488846 |
4.2 | -1.005603 | -1.081667 | -1.761155 | -0.020368 | -1.706397 | -0.167541 | -1.404028 | -0.382505 | -1.131468 | -0.483357 |
4.4 | -1.005603 | -1.286683 | -1.767084 | -0.037888 | -1.740065 | -0.169004 | -1.479482 | -0.372086 | -1.227423 | -0.475973 |
4.6 | -1.005603 | -1.334757 | -1.775815 | -0.047947 | -1.774055 | -0.170778 | -1.552922 | -0.362459 | -1.321755 | -0.467162 |
4.8 | -1.005603 | -1.395119 | -1.785867 | -0.05176 | -1.808317 | -0.171661 | -1.624485 | -0.353181 | -1.414217 | -0.457298 |
5 | -1.005603 | -1.534964 | -1.796163 | -0.050818 | -1.842613 | -0.171028 | -1.694199 | -0.343878 | -1.504621 | -0.446604 |
5.2 | -1.005603 | -1.618392 | -1.805958 | -0.046615 | -1.876619 | -0.168639 | -1.76202 | -0.334254 | -1.59281 | -0.435203 |
5.4 | -1.005603 | -1.713274 | -1.814698 | -0.04064 | -1.909955 | -0.164483 | -1.827862 | -0.324063 | -1.678658 | -0.423157 |
5.6 | -1.005603 | -1.800263 | -1.822153 | -0.033973 | -1.942296 | -0.158745 | -1.891599 | -0.313178 | -1.762034 | -0.410486 |
5.8 | -1.005603 | -1.825452 | -1.828277 | -0.027391 | -1.973369 | -0.151702 | -1.953087 | -0.301549 | -1.84281 | -0.397192 |
6 | -1.005603 | -1.94768 | -1.833155 | -0.0215 | -2.002922 | -0.143712 | -2.012171 | -0.289175 | -1.920866 | -0.383258 |
6.2 | -1.005603 | -1.998322 | -1.836946 | -0.016562 | -2.030798 | -0.135076 | -2.068708 | -0.276109 | -1.996074 | -0.368685 |
6.4 | -1.005603 | -2.074342 | -1.839835 | -0.012598 | -2.056914 | -0.126031 | -2.122574 | -0.262439 | -2.068302 | -0.353494 |
6.6 | -1.005603 | -2.105314 | -1.842032 | -0.009573 | -2.081201 | -0.116816 | -2.173653 | -0.248264 | -2.137431 | -0.337705 |
6.8 | -1.005603 | -2.181463 | -1.843723 | -0.007333 | -2.103641 | -0.107601 | -2.221852 | -0.23369 | -2.203347 | -0.321355 |
7 | -1.005603 | -2.317042 | -1.845024 | -0.005696 | -2.124243 | -0.098463 | -2.267104 | -0.21881 | -2.265941 | -0.304504 |
7.2 | -1.005603 | -2.342278 | -1.846031 | -0.004481 | -2.14303 | -0.089458 | -2.30936 | -0.203714 | -2.32512 | -0.287214 |
7.4 | -1.005603 | -2.37847 | -1.846827 | -0.003495 | -2.160036 | -0.080619 | -2.348582 | -0.188488 | -2.380802 | -0.269552 |
7.6 | -1.005603 | -2.405157 | -1.847442 | -0.002604 | -2.175292 | -0.071949 | -2.384751 | -0.1732 | -2.43292 | -0.251591 |
7.8 | -1.005603 | -2.481038 | -1.847878 | -0.001736 | -2.188828 | -0.063436 | -2.41786 | -0.157903 | -2.481423 | -0.233402 |
8 | -1.005603 | -2.534084 | -1.848134 | -0.000814 | -2.200675 | -0.055069 | -2.447914 | -0.14265 | -2.526271 | -0.215058 |
8.2 | -1.005603 | -2.567555 | -1.848197 | 0.000196 | -2.210865 | -0.046833 | -2.474926 | -0.127484 | -2.56744 | -0.196626 |
8.4 | -1.005603 | -2.648841 | -1.848051 | 0.001292 | -2.219419 | -0.038726 | -2.498917 | -0.112443 | -2.604919 | -0.178171 |
8.6 | -1.005603 | -2.586662 | -1.847682 | 0.002464 | -2.226363 | -0.030749 | -2.519913 | -0.097561 | -2.63871 | -0.159753 |
8.8 | -1.005603 | -2.653163 | -1.847069 | 0.003685 | -2.231725 | -0.022898 | -2.537952 | -0.08287 | -2.668827 | -0.141431 |
9 | -1.005603 | -2.704424 | -1.846203 | 0.004927 | -2.235532 | -0.015185 | -2.553076 | -0.0684 | -2.695293 | -0.123259 |
9.2 | -1.005603 | -2.731347 | -1.845088 | 0.006162 | -2.237812 | -0.007633 | -2.565331 | -0.054183 | -2.718143 | -0.105284 |
9.4 | -1.005603 | -2.73388 | -1.843735 | 0.007371 | -2.238599 | -0.000265 | -2.57477 | -0.040252 | -2.737422 | -0.087554 |
9.6 | -1.005603 | -2.789098 | -1.842144 | 0.008532 | -2.237932 | 0.006904 | -2.581453 | -0.026635 | -2.753184 | -0.070113 |
9.8 | -1.005603 | -2.779381 | -1.840327 | 0.009626 | -2.235853 | 0.013853 | -2.585446 | -0.01336 | -2.76549 | -0.053003 |
10 | -1.005603 | -2.734501 | -1.838297 | 0.010646 | -2.232406 | 0.020562 | -2.586822 | -0.000457 | -2.77441 | -0.036264 |
10.2 | -1.005603 | -2.771808 | -1.836071 | 0.011592 | -2.227644 | 0.027015 | -2.585656 | 0.012048 | -2.780023 | -0.019933 |
10.4 | -1.005603 | -2.756999 | -1.833662 | 0.012461 | -2.221618 | 0.033198 | -2.582031 | 0.02413 | -2.782412 | -0.004047 |
10.6 | -1.005603 | -2.773407 | -1.831088 | 0.01325 | -2.214385 | 0.039094 | -2.576034 | 0.035764 | -2.781672 | 0.011363 |
10.8 | -1.005603 | -2.840932 | -1.828366 | 0.013961 | -2.206002 | 0.044689 | -2.567757 | 0.04693 | -2.777901 | 0.026267 |
11 | -1.005603 | -2.751663 | -1.825511 | 0.014598 | -2.196529 | 0.049975 | -2.557295 | 0.057607 | -2.771202 | 0.040634 |
11.2 | -1.005603 | -2.738192 | -1.822536 | 0.015166 | -2.18603 | 0.054946 | -2.544747 | 0.067778 | -2.761686 | 0.05444 |
11.4 | -1.005603 | -2.732841 | -1.819451 | 0.01567 | -2.174569 | 0.059602 | -2.530217 | 0.077429 | -2.749465 | 0.067657 |
11.6 | -1.005603 | -2.704855 | -1.816268 | 0.016103 | -2.162207 | 0.063936 | -2.513809 | 0.086549 | -2.734661 | 0.080267 |
11.8 | -1.005603 | -2.759511 | -1.813003 | 0.016472 | -2.14901 | 0.067942 | -2.495631 | 0.095124 | -2.717397 | 0.09225 |
12 | -1.005603 | -2.685575 | -1.809671 | 0.016785 | -2.135047 | 0.071621 | -2.475795 | 0.103146 | -2.697802 | 0.103588 |
12.2 | -1.005603 | -2.613733 | -1.806286 | 0.017047 | -2.120383 | 0.07497 | -2.454411 | 0.110606 | -2.676006 | 0.114269 |
12.4 | -1.005603 | -2.667439 | -1.802858 | 0.01726 | -2.105084 | 0.07799 | -2.431592 | 0.1175 | -2.652142 | 0.124279 |
12.6 | -1.005603 | -2.607577 | -1.799397 | 0.01742 | -2.089214 | 0.080684 | -2.407451 | 0.123826 | -2.626343 | 0.133609 |
12.8 | -1.005603 | -2.614456 | -1.795911 | 0.017524 | -2.072838 | 0.083055 | -2.3821 | 0.129583 | -2.598745 | 0.142253 |
13 | -1.005603 | -2.58974 | -1.792405 | 0.017563 | -2.056018 | 0.085109 | -2.355655 | 0.134775 | -2.569488 | 0.150205 |
13.2 | -1.005603 | -2.594486 | -1.788891 | 0.017537 | -2.038815 | 0.086845 | -2.328226 | 0.139405 | -2.538707 | 0.157464 |
13.4 | -1.005603 | -2.47974 | -1.785386 | 0.017454 | -2.021295 | 0.088267 | -2.299926 | 0.143472 | -2.506543 | 0.164029 |
13.6 | -1.005603 | -2.499997 | -1.781902 | 0.017323 | -2.003522 | 0.08938 | -2.27087 | 0.146983 | -2.473136 | 0.169903 |
13.8 | -1.005603 | -2.389085 | -1.778451 | 0.01715 | -1.98556 | 0.090189 | -2.241168 | 0.149942 | -2.438625 | 0.175089 |
14 | -1.005603 | -2.385127 | -1.775041 | 0.016937 | -1.967467 | 0.090702 | -2.21093 | 0.152359 | -2.403147 | 0.179592 |
14.2 | -1.005603 | -2.415603 | -1.771683 | 0.016686 | -1.949302 | 0.090927 | -2.180263 | 0.154242 | -2.366837 | 0.18342 |
14.4 | -1.005603 | -2.344394 | -1.768381 | 0.016397 | -1.93112 | 0.090874 | -2.149272 | 0.155603 | -2.329828 | 0.186582 |
14.6 | -1.005603 | -2.319767 | -1.765141 | 0.016067 | -1.912976 | 0.090551 | -2.118058 | 0.156456 | -2.292252 | 0.189089 |
14.8 | -1.005603 | -2.276292 | -1.761968 | 0.015692 | -1.89492 | 0.089971 | -2.086723 | 0.156816 | -2.254237 | 0.190953 |
15 | -1.005603 | -2.218363 | -1.758866 | 0.015269 | -1.877003 | 0.089143 | -2.055362 | 0.156695 | -2.21591 | 0.19219 |
15.2 | -1.005603 | -2.104775 | -1.755849 | 0.014807 | -1.859274 | 0.088074 | -2.02407 | 0.156109 | -2.177395 | 0.192815 |
15.4 | -1.005603 | -2.139535 | -1.752926 | 0.014315 | -1.841784 | 0.086771 | -1.992942 | 0.155072 | -2.138816 | 0.192846 |
15.6 | -1.005603 | -2.108237 | -1.750107 | 0.013802 | -1.824578 | 0.085246 | -1.962065 | 0.153603 | -2.10029 | 0.1923 |
15.8 | -1.005603 | -2.062671 | -1.747397 | 0.013273 | -1.8077 | 0.08351 | -1.931527 | 0.151719 | -2.061932 | 0.191197 |
16 | -1.005603 | -2.015239 | -1.7448 | 0.01273 | -1.79119 | 0.081574 | -1.901407 | 0.149438 | -2.02385 | 0.189557 |
16.2 | -1.005603 | -2.014733 | -1.74232 | 0.012173 | -1.775087 | 0.079452 | -1.871782 | 0.146779 | -1.98615 | 0.187401 |
16.4 | -1.005603 | -1.935398 | -1.739957 | 0.011599 | -1.759425 | 0.077159 | -1.842725 | 0.143762 | -1.94893 | 0.184752 |
16.6 | -1.005603 | -1.842729 | -1.737708 | 0.011005 | -1.744236 | 0.074712 | -1.814305 | 0.140407 | -1.912286 | 0.181633 |
16.8 | -1.005603 | -1.94809 | -1.735572 | 0.010383 | -1.729551 | 0.072128 | -1.786586 | 0.136734 | -1.87631 | 0.178068 |
17 | -1.005603 | -1.798202 | -1.733557 | 0.009737 | -1.715398 | 0.069419 | -1.759628 | 0.132758 | -1.841089 | 0.174085 |
17.2 | -1.005603 | -1.818507 | -1.731671 | 0.00908 | -1.701801 | 0.066579 | -1.733492 | 0.128511 | -1.806706 | 0.169704 |
17.4 | -1.005603 | -1.762454 | -1.729919 | 0.008423 | -1.688782 | 0.063613 | -1.708232 | 0.124023 | -1.773235 | 0.164948 |
17.6 | -1.005603 | -1.785712 | -1.728303 | 0.007769 | -1.676362 | 0.060535 | -1.683899 | 0.119313 | -1.740749 | 0.159842 |
17.8 | -1.005603 | -1.742876 | -1.72682 | 0.007114 | -1.664563 | 0.057368 | -1.660532 | 0.114392 | -1.709316 | 0.154416 |
18 | -1.005603 | -1.688831 | -1.725466 | 0.006449 | -1.653407 | 0.054146 | -1.638167 | 0.109264 | -1.678998 | 0.148703 |
18.2 | -1.005603 | -1.641686 | -1.724241 | 0.005776 | -1.642908 | 0.050883 | -1.616839 | 0.103947 | -1.649852 | 0.142731 |
18.4 | -1.005603 | -1.622237 | -1.72315 | 0.005111 | -1.633069 | 0.04756 | -1.596587 | 0.098491 | -1.621926 | 0.136515 |
18.6 | -1.005603 | -1.569965 | -1.722193 | 0.004463 | -1.623895 | 0.044175 | -1.577443 | 0.09293 | -1.595264 | 0.130074 |
18.8 | -1.005603 | -1.57707 | -1.721368 | 0.003828 | -1.615394 | 0.040748 | -1.559429 | 0.087278 | -1.569906 | 0.123439 |
19 | -1.005603 | -1.580119 | -1.720668 | 0.003195 | -1.607581 | 0.037322 | -1.542554 | 0.081522 | -1.545893 | 0.116646 |
19.2 | -1.005603 | -1.483178 | -1.720091 | 0.002558 | -1.600462 | 0.033922 | -1.526828 | 0.07567 | -1.523256 | 0.109727 |
19.4 | -1.005603 | -1.531424 | -1.719638 | 0.001937 | -1.594025 | 0.030518 | -1.512276 | 0.069781 | -1.502015 | 0.102691 |
19.6 | -1.005603 | -1.528787 | -1.719311 | 0.001341 | -1.588263 | 0.027103 | -1.498908 | 0.063889 | -1.482189 | 0.095556 |
19.8 | -1.005603 | -1.446568 | -1.719104 | 0.000767 | -1.583175 | 0.023694 | -1.486728 | 0.058006 | -1.463794 | 0.088351 |
End of preview. Expand
in Data Studio
Overview
This dataset contains input-output data of a coupled mass-spring-damper system with a nonlinear force profile. The data was generated with statesim [1], a python package for simulating linear and nonlinear ODEs, for the system coupled-msd. The configuration .json files for the corresponding datasets (in-distribution and out-of-distribution) can be found in the respective folders. After creating the dataset, the files are stored in the raw folder. Then, they are split into subsets for training, testing, and validation and can be found in the processed folder; details about the splitting are found in the config.json file.
The dataset can be used to test system identification algorithms and methods that aim to identify nonlinear dynamics from input-output measurements. The training dataset is used to optimize the model parameters, the validation set for hyperparameter optimization, and the test set only for the final evaluation.
In [2], the authors use the same underlying dynamics to create their dataset.
Input generation
Input trajectories are piecewise constant trajectories.Noise
Gaussian white noise of approximately 30dB is added at the output.Statistics
The input and output size is one.
- In-distribution data: 1,500,000 data points
- Training: 120 trajectories of length 7500
- Validation: 20 trajectories of length 7500
- Test: 60 trajectories of length 7500
- Out-of-distribution data: 10 times 3000 data points
10 different datasets were only used for testing. Each dataset contains 50 trajectories of length 6000.
References
- Frank, D. statesim [Computer software]. https://github.com/Dany-L/statesim
- Revay, M., Wang, R., & Manchester, I. R. (2020). A convex parameterization of robust recurrent neural networks. IEEE Control Systems Letters, 5(4), 1363-1368.
- Downloads last month
- 38