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GSoC 22 - Finding Exoplanets with Astronomical Observations

GSoC + ML4SCI [2022] - Finding Exoplanets with Astronomical Observations

SECTION 1 - CONTEXT

Overview

This Github Gist contains all the code, information and useful links relating to a Google Summer of Code (GSoC) 2022 project, the project is called "Finding Exoplanets with Astronomical Observations".

Project Description

The purpose of this project is to use publicly available data from observations intended to identify exoplanets in order to determine whether or not a given stellar system contains one or more exoplanets.

An exoplanet is any planet not in our solar system. Since the early 1990s, thousands of exoplanets have been discovered. Exoplanets are identified through a variety of methods, including, but not limited to, transit light curve analysis, direct imaging, and radial velocity measurements. One of the most successful attempts was the Kepler Mission, which studied light curves of hundreds of thousands of stars and identified over 2,500 planets. Each detection technique is biased towards detecting different types of planets at different distances from stars, so a variety of methods is necessary to fully explore the exoplanetary parameter space.

As is exemplified by the Kepler Mission, identifying exoplanets – using any method – relies on massive datasets and signals that can be subtle and noisy. In fact, the first exoplanet was observed many years before it was identified because the researchers did not originally notice it in the data. An unfortunate side effect of this delay was that the “first” discovered exoplanet was announced in the interim despite being observed years later. Machine learning may be a useful avenue for systematically, accurately, and quickly identifying planets and avoiding such situations.

Project Outcomes

Using publicly available observational data, models will be constructed that predict the presence of a planet. This may use data from any type of detection of method, and there is no limit to the number of detection methods that may be used.

SECTION 2 - DATA

Data Sources

There are 3 main types of astronomical observation data, all of which are taken from space telescopes such as NASA's Kepler and TESS missions; these include: target pixel files, lightcurves and stellar information in the form of tabular data. This project used lightcurves as the data is almost in its raw form as extracted from the telescopes and it is in a form that can be loaded into machine learning pipelines with some relatively light processing.

The data was taken and combined from 2 sources: Kepler Object of Interest (KOI) Activity Tables - Cumulative Table from which more information is available here. This returns a list of all the stars that the Kepler mission has observed, but not the lightcurves themselves. To obtain the lightcurves themselves, the python package Lightkurve is used.

Kepler Cumulative Table

The following csv file displays the first 5 rows obtained from the NASA Kepler Object of Interest Cumulative Table.

kepid kepoi_name kepler_name koi_disposition koi_vet_stat koi_vet_date koi_pdisposition koi_score koi_fpflag_nt koi_fpflag_ss koi_fpflag_co koi_fpflag_ec koi_disp_prov koi_comment koi_period koi_time0bk koi_time0 koi_eccen koi_longp koi_impact koi_duration koi_ingress koi_depth koi_ror koi_srho koi_fittype koi_prad koi_sma koi_incl koi_teq koi_insol koi_dor koi_limbdark_mod koi_ldm_coeff4 koi_ldm_coeff3 koi_ldm_coeff2 koi_ldm_coeff1 koi_parm_prov koi_max_sngle_ev koi_max_mult_ev koi_model_snr koi_count koi_num_transits koi_tce_plnt_num koi_tce_delivname koi_quarters koi_bin_oedp_sig koi_trans_mod koi_model_dof koi_model_chisq koi_datalink_dvr koi_datalink_dvs koi_steff koi_slogg koi_smet koi_srad koi_smass koi_sage koi_sparprov ra dec koi_kepmag koi_gmag koi_rmag koi_imag koi_zmag koi_jmag koi_hmag koi_kmag koi_fwm_stat_sig koi_fwm_sra koi_fwm_sdec koi_fwm_srao koi_fwm_sdeco koi_fwm_prao koi_fwm_pdeco koi_dicco_mra koi_dicco_mdec koi_dicco_msky koi_dikco_mra koi_dikco_mdec koi_dikco_msky
10797460 K00752.01 Kepler-227 b CONFIRMED Done 16/08/2018 CANDIDATE 1 0 0 0 0 q1_q17_dr25_sup_koi NO_COMMENT 9.48803557 170.53875 2455003.539 0 0.146 2.9575 6.16E+02 0.022344 3.20796 LS+MCMC 2.26 0.0853 89.66 793 93.59 24.81 Claret (2011 A&A 529 75) ATLAS LS 0 0 0.2291 0.4603 q1_q17_dr25_koi 5.135849 28.47082 35.8 2 142 1 q1_q17_dr25_tce 1.11111E+31 0.6864 Mandel and Agol (2002 ApJ 580 171) 010/010797/010797460/dv/kplr010797460-20160209194854_dvr.pdf 010/010797/010797460/dv/kplr010797460-001-20160209194854_dvs.pdf 5455 4.467 0.14 0.927 0.919 q1_q17_dr25_stellar 291.93423 48.141651 15.347 15.89 15.27 15.114 15.006 14.082 13.751 13.648 0.002 19.462294 48.14191 0.43 0.94 -2.00E-04 -5.50E-04 -0.01 0.2 0.2 0.08 0.31 0.32
10797460 K00752.02 Kepler-227 c CONFIRMED Done 16/08/2018 CANDIDATE 0.969 0 0 0 0 q1_q17_dr25_sup_koi NO_COMMENT 54.4183827 162.51384 2454995.514 0 0.586 4.507 8.75E+02 0.027954 3.02368 LS+MCMC 2.83 0.2734 89.57 443 9.11 77.9 Claret (2011 A&A 529 75) ATLAS LS 0 0 0.2291 0.4603 q1_q17_dr25_koi 7.027669 20.109507 25.8 2 25 2 q1_q17_dr25_tce 1.11111E+31 0.0023 Mandel and Agol (2002 ApJ 580 171) 010/010797/010797460/dv/kplr010797460-20160209194854_dvr.pdf 010/010797/010797460/dv/kplr010797460-002-20160209194854_dvs.pdf 5455 4.467 0.14 0.927 0.919 q1_q17_dr25_stellar 291.93423 48.141651 15.347 15.89 15.27 15.114 15.006 14.082 13.751 13.648 0.003 19.462265 48.14199 -0.63 1.23 6.60E-04 -1.05E-03 0.39 0 0.39 0.49 0.12 0.5
10811496 K00753.01 CANDIDATE Done 16/08/2018 CANDIDATE 0 0 0 0 0 q1_q17_dr25_sup_koi DEEP_V_SHAPED 19.89913995 175.850252 2455008.85 0 0.969 1.7822 1.08E+04 0.154046 7.29555 LS+MCMC 14.6 0.1419 88.96 638 39.3 53.5 Claret (2011 A&A 529 75) ATLAS LS 0 0 0.2711 0.3858 q1_q17_dr25_koi 37.159767 187.4491 76.3 1 56 1 q1_q17_dr25_tce 1.11111E+31 0.6624 Mandel and Agol (2002 ApJ 580 171) 010/010811/010811496/dv/kplr010811496-20160209194854_dvr.pdf 010/010811/010811496/dv/kplr010811496-001-20160209194854_dvs.pdf 5853 4.544 -0.18 0.868 0.961 q1_q17_dr25_stellar 297.00482 48.134129 15.436 15.943 15.39 15.22 15.166 14.254 13.9 13.826 0.278 19.8003207 48.13412 -0.021 -0.038 7.00E-04 6.00E-04 -0.025 -0.034 0.042 0.002 -0.027 0.027
10848459 K00754.01 FALSE POSITIVE Done 16/08/2018 FALSE POSITIVE 0 0 1 0 0 q1_q17_dr25_sup_koi MOD_ODDEVEN_DV---MOD_ODDEVEN_ALT---DEEP_V_SHAPED 1.736952453 170.307565 2455003.308 0 1.276 2.40641 8.08E+03 0.387394 0.2208 LS+MCMC 33.46 0.0267 67.09 1395 891.96 3.278 Claret (2011 A&A 529 75) ATLAS LS 0 0 0.2865 0.3556 q1_q17_dr25_koi 39.06655 541.8951 505.6 1 621 1 q1_q17_dr25_tce 1.11111E+31 0 Mandel and Agol (2002 ApJ 580 171) 010/010848/010848459/dv/kplr010848459-20160209194854_dvr.pdf 010/010848/010848459/dv/kplr010848459-001-20160209194854_dvs.pdf 5805 4.564 -0.52 0.791 0.836 q1_q17_dr25_stellar 285.53461 48.28521 15.597 16.1 15.554 15.382 15.266 14.326 13.911 13.809 0 19.03563762 48.2852105 -0.111 0.002 3.02E-03 -1.42E-03 -0.249 0.147 0.289 -0.257 0.099 0.276
10854555 K00755.01 Kepler-664 b CONFIRMED Done 16/08/2018 CANDIDATE 1 0 0 0 0 q1_q17_dr25_sup_koi NO_COMMENT 2.525591777 171.59555 2455004.596 0 0.701 1.6545 6.03E+02 0.024064 1.98635 LS+MCMC 2.75 0.0374 85.41 1406 926.16 8.75 Claret (2011 A&A 529 75) ATLAS LS 0 0 0.2844 0.3661 q1_q17_dr25_koi 4.749945 33.1919 40.9 1 515 1 q1_q17_dr25_tce 1.11111E+30 0.309 Mandel and Agol (2002 ApJ 580 171) 010/010854/010854555/dv/kplr010854555-20160209194854_dvr.pdf 010/010854/010854555/dv/kplr010854555-001-20160209194854_dvs.pdf 6031 4.438 0.07 1.046 1.095 q1_q17_dr25_stellar 288.75488 48.2262 15.509 16.015 15.468 15.292 15.241 14.366 14.064 13.952 0.733 19.2503258 48.22626 -0.01 0.23 8.00E-05 -7.00E-05 0.03 -0.09 0.1 0.07 0.02 0.07
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{
"cells": [
{
"cell_type": "markdown",
"source": [
"# Data Collection Example Notebook\n",
"\n",
"The aim of this notebook is to show the methodology used to download all lightcurves available from the Kepler Mission. This method combines the lightcurve package (as demonstrated in the previous notebook) to download the curves themselves, with the list of KIC's being provided by the csv file (part of which is shown previously). "
],
"metadata": {
"id": "hwFERFcFDS5a"
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{
"cell_type": "markdown",
"source": [
"### 1. Installing and Import Lightkurve"
],
"metadata": {
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{
"cell_type": "code",
"source": [
"!pip install lightkurve\n",
"import lightkurve as lk"
],
"metadata": {
"id": "aqH54woKDSkV"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"### 2. Reading the csv file of KIC's"
],
"metadata": {
"id": "DZLSqhGvEQ2M"
}
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{
"cell_type": "code",
"source": [
"import pandas as pd"
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},
"execution_count": 13,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"This file may seem different than the above 'Kepler Cumulative Table', however it is from the same source but only the necessary columns were kept."
],
"metadata": {
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{
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"df = pd.read_csv('Kepler_Data_Raw.csv',skiprows=9)\n",
"df"
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"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" kepid kepoi_name koi_disposition\n",
"0 10797460 K00752.01 CONFIRMED\n",
"1 10797460 K00752.02 CONFIRMED\n",
"2 10811496 K00753.01 CANDIDATE\n",
"3 10848459 K00754.01 FALSE POSITIVE\n",
"4 10854555 K00755.01 CONFIRMED\n",
"... ... ... ...\n",
"9559 10090151 K07985.01 FALSE POSITIVE\n",
"9560 10128825 K07986.01 CANDIDATE\n",
"9561 10147276 K07987.01 FALSE POSITIVE\n",
"9562 10155286 K07988.01 CANDIDATE\n",
"9563 10156110 K07989.01 FALSE POSITIVE\n",
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"[9564 rows x 3 columns]"
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"metadata": {},
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]
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{
"cell_type": "code",
"source": [
"for kepid in df['kepid'].iloc[0:5]:\n",
" try: \n",
"\n",
" # FORMATTING THE KEPID STRING AND DOWNLOADING THE DATA FROM LIGHTKURVE\n",
" KIC = 'KIC ' + str(kepid)\n",
" lc = lk.search_lightcurve(KIC, author='kepler', quarter = 4, cadence='long').download()\n",
" lc.plot()\n",
"\n",
"\n",
" except: \n",
" pass"
],
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"outputId": "2f1a61b7-633b-4c75-f58b-7efb96095388",
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"height": 1000
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},
"execution_count": 16,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 848.5x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 848.5x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 848.5x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 848.5x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 848.5x400 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
}
],
"metadata": {
"colab": {
"name": "scratchpad",
"provenance": []
},
"kernelspec": {
"display_name": "Python 3",
"name": "python3"
}
},
"nbformat": 4,
"nbformat_minor": 0
}

SECTION 3 - DATA PROCESSING

Data Processing Necessity

As seen above, the lightcurves are time-series data with light flux being the variable which evolves over time. This data is not readily inputtable into machine learning models for several reasons: most models apart from a few primitive ones (such as K-Nearest Neighbours) cannot deal with time-series data that is not of equal length; and the same goes for the NaNs present in the data. Additionally, there are long-term trends arising from dying stars and other phenomena which may affect the readings, as well as outliers in the data. All of this means processing the data is necessary.

Processing Methodolgy

To end up with correctly formatted data, 2 approaches were undertaken.

  1. Global View: This meant following the approach outlined in this paper to generate a global view: https://arxiv.org/pdf/1712.05044.pdf, which was implemented in python with the Lighkurve package based on this tutorial: https://docs.lightkurve.org/tutorials/3-science-examples/exoplanets-machine-learning-preprocessing.html.
  2. Raw View: The idea behind this approach is to take the raw lighcurves, and apply the lowest levels of processing that allow it to be inputted into machine learning models. This involves removing outliers and converting the curves into equally spaced time-steps.
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Raw
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Global View Data

The following csv file displays the first 5 rows obtained from the above notebook.

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 719 720 721 722 723 724 725 726 727 728 729 730 731 732 733 734 735 736 737 738 739 740 741 742 743 744 745 746 747 748 749 750 751 752 753 754 755 756 757 758 759 760 761 762 763 764 765 766 767 768 769 770 771 772 773 774 775 776 777 778 779 780 781 782 783 784 785 786 787 788 789 790 791 792 793 794 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885 886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932 933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 target
0 0.805088592 1.014018589 0.879614652 0.740667353 1.07875027 1.079406007 1.205583961 1.01662822 0.998132966 0.807200225 0.911770036 0.933036084 1.067353726 0.680739562 1.177562082 1.055092687 1.07194522 1.067242568 0.852447308 1.072187918 0.983525931 0.990024654 1.125028523 0.962852714 1.062396662 1.25450823 1.051452457 1.207777907 1.065733246 1.351216679 1.175889277 0.65174985 0.880899058 0.837107577 1.024374985 0.546629768 1.154970162 1.113738893 0.850172005 0.823657083 1.069427825 0.805309008 0.874959887 1.003109164 0.817285685 1.137578272 0.933656359 1.00631242 0.839968996 0.848821675 1.141297975 1.05211291 0.987707148 0.821887788 0.921743963 0.868518978 1.164359808 0.894337271 1.057028051 1.127819612 1.002684032 0.715357029 0.837060933 1.142886251 0.949892661 1.071224061 1.135054372 0.966619101 0.947080527 1.115231124 1.012248322 0.98535616 0.94940982 1.124217769 1.062463924 1.177025202 0.825570556 1.199220504 1.12149448 1.08691689 1.041741672 1.177057819 0.771998184 1.141573078 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The following csv file displays the first 5 rows obtained from the above notebook.

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0.999245167 1.005035758 1.009374022 1.011151075 1.010230064 1.007763386 1.005034685 1.0018574 0.999679029 0.998789072 0.998872757 0.998683453 0.997462451 0.995576859 0.994888008 0.996286213 0.999604881 1.004179597 1.00819242 1.010231495 1.00949645 1.006742358 1.003507137 1.00093472 0.999489605 0.999303341 0.999334633 0.998985291 0.997923076 0.996617436 0.99574095 0.99687773 0.999881029 1.00370419 1.007752299 1.00931263 1.008286357 0.999931209 1.000219107 0.998958766 0.998120964 0.998205245 0.999018192 0.999517977 0.998356998 0.997018814 0.996697128 0.997852683 1.000675082 1.004406095 1.007571816 1.008741498 1.006815314 1.003785849 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999559462 1.002212763 1.006298065 1.007596731 1.006370425 1.003261447 0.999661922 0.996906817 0.995933712 0.996584117 0.998620033 1.001152277 0.999760449 0.998208463 0.996621192 0.996256828 0.998725355 1.003239155 1.007582426 1.009624362 1.008284807 1.004918933 1.000633955 0.997342765 0.995944262 0.996678352 0.998786628 1.00025928 0.999894261 0.998239219 0.997461081 0.998466074 1.001833439 1.006754875 1.010168433 0.999931209 1.006134391 1.002751827 0.998297155 0.995156467 0.993817091 0.994009495 0.995900631 0.998435795 0.999899387 1.000316501 1.000954509 1.002483249 1.005231261 1.009112 1.012195468 1.01220119 1.010124683 1.006392956 1.001195431 0.996170759 0.993042588 0.992239416 0.993283153 0.995386183 0.996690929 0.997788668 0.999258876 1.001180172 1.004247665 1.008541703 1.011232018 1.01180768 1.011582971 1.009500623 1.004929543 0.999328852 0.994499028 0.991347909 0.989866257 0.990159988 0.991319478 0.993769705 0.997180521 1.000956535 1.005149364 1.009742737 1.012954712 1.014301658 1.014933109 1.013436437 1.009703755 1.004214883 0.998818755 0.994021118 0.990295589 0.987090111 0.985406101 0.986246467 0.989418626 0.995584428 1.002728581 1.00953424 1.014121652 1.016148925 1.016032577 1.013618946 1.010563016 1.0074085 1.003411651 0.998115122 0.994511425 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.969560921 0.974725425 0.978783846 0.980000317 0.978522658 0.976463497 0.973622859 0.970240831 0.967955351 0.967095137 0.967282414 0.967703819 0.968378365 0.9695099 0.97184974 0.976577759 0.982261896 0.987771094 0.992291033 0.9948439 0.995082676 0.99345094 0.990452766 0.98696661 0.983516097 0.980639637 0.97943449 0.979737937 0.980656683 0.982164443 0.984723568 0.988998652 0.993593574 0.998373032 1.002883315 1.005968928 1.006831408 1.005784035 1.002838731 0.998498142 0.994670212 0.991748869 0.990383744 0.990405858 0.99210602 0.994212091 0.99682045 0.999732733 1.002682328 1.007235885 1.012619734 1.017163634 0.999931209 0.999931209 1.015455127 1.010686755 1.00607276 1.002778888 1.001002431 1.00072968 1.001723886 1.003117919 1.004982948 1.007001519 1.009272337 1.013935208 1.020340085 1.02576375 1.02723527 1.025323987 1.021820307 1.017519712 1.01346457 1.009624839 1.007101893 1.006088853 1.006150365 1.007365346 1.009158134 1.012038946 1.015232205 1.019612432 1.025461316 1.030390024 1.032244802 1.031172156 1.029124618 1.025782108 1.022012591 1.01871717 1.01570189 1.01371944 1.013124824 1.013145328 1.013738513 1.016795516 1.020498633 1.024367213 1.029061913 1.032168508 0.999931209 0.999931209 0.999931209 1.031832337 1.028270602 1.023695946 1.019304395 1.016224623 1.015301585 1.015028715 1.016096115 1.01912868 1.022833705 1.026116729 1.029895306 1.032570124 0.999931209 0.999931209 0.999931209 0.999931209 1.000039577 0.997915089 0.994372725 0.991019547 0.988428056 0.987800121 0.988679051 0.991407096 0.994832456 0.998675227 1.002953053 1.006978393 1.009660363 1.010426879 1.009259343 1.006939292 1.003875732 1.000954866 0.997496128 0.99363786 0.990621746 0.988327503 0.988226414 0.990593135 0.994036973 0.998448551 1.003632903 1.007835269 1.010499835 1.011283398 1.009404302 1.006590247 1.004368663 1.002771497 1.000767708 0.997620881 0.99362427 0.990176857 0.988564432 0.989106297 0.991748095 0.996458709 1.002760172 1.008544326 1.011999846 1.01292932 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.999931209 0.990147293 0.991812527 0.996631384 1.002441168 1.008080006 1.012096047 1.0133816 1.011274695 1.008018374 1.006540537 1

SECTION 4 - MACHINE LEARNING MODELS

Model Sources

In order to be able to apply many models to the data, pre-built models were selected; this came with the added benefits that they were known to be effective for the task of time-series classification, and and performance evaluation and inference was in-built in most of them. These came from 2 sources: the python package tsai and public models from Kaggle

TSAI

Using tsai, we performed a benchmark test (only validation accuracy was recorded) with a variety of models on both datasets, this then guided which models to apply to the datasets; this was done as the time it takes to fully train all these models would have been computationally significant.

Full models:

  • ResNet
  • XceptionTime
  • InceptionTime
  • Time Series Transformer
  • MiniRocket
Kaggle

The following notebook models were used:

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Benchmark Results
DATA: Global View
Arch Hyperparams Train Loss Valid Loss Accuracy Time
ResNet {} 0.101971 0.570287 0.835165 20
OmniScaleCNN {} 0.187023 0.70566 0.824176 186
xresnet1d34 {} 0.012369 0.87605 0.813187 31
InceptionTime {} 0.052903 0.5022 0.813187 23
ResCNN {} 0.211304 0.592521 0.769231 22
LSTM_FCN {} 0.367932 0.56479 0.747253 14
FCN {} 0.379054 0.566882 0.714286 16
LSTM_FCN {'shuffle': False} 0.385292 0.562923 0.714286 38
LSTM {'n_layers': 3, 'bidirectional': True} 0.595162 0.599472 0.703297 136
mWDN {'levels': 4} 0.084603 1.129448 0.692308 25
LSTM {'n_layers': 1, 'bidirectional': False} 0.601289 0.611448 0.681319 34
XceptionTime {} 0.436045 0.552484 0.681319 23
LSTM {'n_layers': 2, 'bidirectional': False} 0.581708 0.598325 0.67033 52
LSTM {'n_layers': 1, 'bidirectional': True} 0.639124 0.642683 0.67033 50
LSTM {'n_layers': 2, 'bidirectional': True} 0.604301 0.60013 0.67033 92
LSTM {'n_layers': 3, 'bidirectional': False} 0.682145 0.682709 0.571429 67
DATA: Raw View
Arch Hyperparams Train Loss Valid Loss Accuracy Time
ResNet {} 0.081148 0.54911 0.846154 17
OmniScaleCNN {} 0.202464 0.639158 0.813187 187
ResCNN {} 0.190979 0.514264 0.791209 14
xresnet1d34 {} 0.007197 1.053324 0.758242 25
InceptionTime {} 0.036138 0.577145 0.736264 23
LSTM_FCN {} 0.374544 0.571736 0.725275 13
LSTM {'n_layers': 2, 'bidirectional': False} 0.57476 0.606897 0.714286 49
mWDN {'levels': 4} 0.087482 1.405759 0.714286 25
LSTM_FCN {'shuffle': False} 0.382874 0.580837 0.703297 38
FCN {} 0.377618 0.575527 0.692308 11
LSTM {'n_layers': 2, 'bidirectional': True} 0.586023 0.616293 0.692308 93
XceptionTime {} 0.423537 0.550438 0.692308 23
LSTM {'n_layers': 1, 'bidirectional': False} 0.605034 0.613509 0.681319 30
LSTM {'n_layers': 3, 'bidirectional': False} 0.572732 0.609226 0.681319 68
LSTM {'n_layers': 3, 'bidirectional': True} 0.618245 0.620349 0.681319 137
LSTM {'n_layers': 1, 'bidirectional': True} 0.620575 0.632382 0.659341 50
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