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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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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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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
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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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