id sid tid token lemma pos g445cc11w0m 1 1 deep deep ADJ g445cc11w0m 1 2 learning learning NOUN g445cc11w0m 1 3 models model NOUN g445cc11w0m 1 4 have have AUX g445cc11w0m 1 5 nowadays nowadays ADV g445cc11w0m 1 6 gained gain VERB g445cc11w0m 1 7 increasing increase VERB g445cc11w0m 1 8 attention attention NOUN g445cc11w0m 1 9 in in ADP g445cc11w0m 1 10 the the DET g445cc11w0m 1 11 scientific scientific ADJ g445cc11w0m 1 12 computing computing NOUN g445cc11w0m 1 13 field field NOUN g445cc11w0m 1 14 due due ADP g445cc11w0m 1 15 to to ADP g445cc11w0m 1 16 their their PRON g445cc11w0m 1 17 inherent inherent ADJ g445cc11w0m 1 18 nature nature NOUN g445cc11w0m 1 19 to to PART g445cc11w0m 1 20 capture capture VERB g445cc11w0m 1 21 nonlinear nonlinear ADJ g445cc11w0m 1 22 and and CCONJ g445cc11w0m 1 23 high high ADV g445cc11w0m 1 24 - - PUNCT g445cc11w0m 1 25 dimensional dimensional ADJ g445cc11w0m 1 26 features feature NOUN g445cc11w0m 1 27 . . PUNCT g445cc11w0m 2 1 the the DET g445cc11w0m 2 2 main main ADJ g445cc11w0m 2 3 motivation motivation NOUN g445cc11w0m 2 4 of of ADP g445cc11w0m 2 5 my my PRON g445cc11w0m 2 6 research research NOUN g445cc11w0m 2 7 is be AUX g445cc11w0m 2 8 to to PART g445cc11w0m 2 9 leverage leverage VERB g445cc11w0m 2 10 physics physics NOUN g445cc11w0m 2 11 laws law NOUN g445cc11w0m 2 12 and and CCONJ g445cc11w0m 2 13 data datum NOUN g445cc11w0m 2 14 to to PART g445cc11w0m 2 15 develop develop VERB g445cc11w0m 2 16 predictive predictive ADJ g445cc11w0m 2 17 deep deep ADJ g445cc11w0m 2 18 learning learning NOUN g445cc11w0m 2 19 model model NOUN g445cc11w0m 2 20 for for ADP g445cc11w0m 2 21 physics physics NOUN g445cc11w0m 2 22 systems system NOUN g445cc11w0m 2 23 . . PUNCT g445cc11w0m 3 1 on on ADP g445cc11w0m 3 2 the the DET g445cc11w0m 3 3 one one NUM g445cc11w0m 3 4 hand hand NOUN g445cc11w0m 3 5 , , PUNCT g445cc11w0m 3 6 when when SCONJ g445cc11w0m 3 7 the the DET g445cc11w0m 3 8 physics physics NOUN g445cc11w0m 3 9 laws law NOUN g445cc11w0m 3 10 is be AUX g445cc11w0m 3 11 known know VERB g445cc11w0m 3 12 but but CCONJ g445cc11w0m 3 13 the the DET g445cc11w0m 3 14 data data NOUN g445cc11w0m 3 15 is be AUX g445cc11w0m 3 16 little little ADJ g445cc11w0m 3 17 , , PUNCT g445cc11w0m 3 18 the the DET g445cc11w0m 3 19 deep deep ADJ g445cc11w0m 3 20 learning learning NOUN g445cc11w0m 3 21 model model NOUN g445cc11w0m 3 22 can can AUX g445cc11w0m 3 23 be be AUX g445cc11w0m 3 24 used use VERB g445cc11w0m 3 25 to to PART g445cc11w0m 3 26 develop develop VERB g445cc11w0m 3 27 surrogate surrogate ADJ g445cc11w0m 3 28 modeling modeling NOUN g445cc11w0m 3 29 of of ADP g445cc11w0m 3 30 the the DET g445cc11w0m 3 31 high high ADJ g445cc11w0m 3 32 - - PUNCT g445cc11w0m 3 33 accuracy accuracy NOUN g445cc11w0m 3 34 simulation simulation NOUN g445cc11w0m 3 35 or or CCONJ g445cc11w0m 3 36 measurements measurement NOUN g445cc11w0m 3 37 instead instead ADV g445cc11w0m 3 38 of of ADP g445cc11w0m 3 39 directly directly ADV g445cc11w0m 3 40 replacing replace VERB g445cc11w0m 3 41 the the DET g445cc11w0m 3 42 canonical canonical ADJ g445cc11w0m 3 43 models model NOUN g445cc11w0m 3 44 . . PUNCT g445cc11w0m 4 1 on on ADP g445cc11w0m 4 2 the the DET g445cc11w0m 4 3 other other ADJ g445cc11w0m 4 4 hand hand NOUN g445cc11w0m 4 5 , , PUNCT g445cc11w0m 4 6 when when SCONJ g445cc11w0m 4 7 the the DET g445cc11w0m 4 8 data data NOUN g445cc11w0m 4 9 is be AUX g445cc11w0m 4 10 abundant abundant ADJ g445cc11w0m 4 11 but but CCONJ g445cc11w0m 4 12 the the DET g445cc11w0m 4 13 underlying underlying ADJ g445cc11w0m 4 14 physics physics NOUN g445cc11w0m 4 15 is be AUX g445cc11w0m 4 16 partly partly ADV g445cc11w0m 4 17 known know VERB g445cc11w0m 4 18 , , PUNCT g445cc11w0m 4 19 equation equation PROPN g445cc11w0m 4 20 discovery discovery NOUN g445cc11w0m 4 21 model model NOUN g445cc11w0m 4 22 can can AUX g445cc11w0m 4 23 be be AUX g445cc11w0m 4 24 used use VERB g445cc11w0m 4 25 to to PART g445cc11w0m 4 26 identify identify VERB g445cc11w0m 4 27 the the DET g445cc11w0m 4 28 underlying underlying ADJ g445cc11w0m 4 29 governing governing NOUN g445cc11w0m 4 30 equations equation NOUN g445cc11w0m 4 31 . . PUNCT g445cc11w0m 5 1 under under ADP g445cc11w0m 5 2 both both DET g445cc11w0m 5 3 circumstances circumstance NOUN g445cc11w0m 5 4 , , PUNCT g445cc11w0m 5 5 it it PRON g445cc11w0m 5 6 is be AUX g445cc11w0m 5 7 of of ADP g445cc11w0m 5 8 great great ADJ g445cc11w0m 5 9 importance importance NOUN g445cc11w0m 5 10 to to PART g445cc11w0m 5 11 quantify quantify VERB g445cc11w0m 5 12 the the DET g445cc11w0m 5 13 uncertainty uncertainty NOUN g445cc11w0m 5 14 of of ADP g445cc11w0m 5 15 the the DET g445cc11w0m 5 16 developed develop VERB g445cc11w0m 5 17 models model NOUN g445cc11w0m 5 18 . . PUNCT g445cc11w0m 6 1 this this DET g445cc11w0m 6 2 dissertation dissertation NOUN g445cc11w0m 6 3 demonstrates demonstrate VERB g445cc11w0m 6 4 that that SCONJ g445cc11w0m 6 5 deep deep ADJ g445cc11w0m 6 6 learning learning NOUN g445cc11w0m 6 7 based base VERB g445cc11w0m 6 8 model model NOUN g445cc11w0m 6 9 is be AUX g445cc11w0m 6 10 a a DET g445cc11w0m 6 11 good good ADJ g445cc11w0m 6 12 candidate candidate NOUN g445cc11w0m 6 13 for for ADP g445cc11w0m 6 14 both both PRON g445cc11w0m 6 15 surrogate surrogate ADJ g445cc11w0m 6 16 modeling modeling NOUN g445cc11w0m 6 17 and and CCONJ g445cc11w0m 6 18 equation equation NOUN g445cc11w0m 6 19 discovery discovery NOUN g445cc11w0m 6 20 from from ADP g445cc11w0m 6 21 several several ADJ g445cc11w0m 6 22 perspectives perspective NOUN g445cc11w0m 6 23 . . PUNCT g445cc11w0m 7 1 firstly firstly ADV g445cc11w0m 7 2 , , PUNCT g445cc11w0m 7 3 we we PRON g445cc11w0m 7 4 developed develop VERB g445cc11w0m 7 5 a a DET g445cc11w0m 7 6 data data NOUN g445cc11w0m 7 7 - - PUNCT g445cc11w0m 7 8 free free ADJ g445cc11w0m 7 9 physics physics NOUN g445cc11w0m 7 10 - - PUNCT g445cc11w0m 7 11 informed inform VERB g445cc11w0m 7 12 surrogate surrogate ADJ g445cc11w0m 7 13 modeling modeling NOUN g445cc11w0m 7 14 of of ADP g445cc11w0m 7 15 fluid fluid ADJ g445cc11w0m 7 16 flows flow NOUN g445cc11w0m 7 17 without without ADP g445cc11w0m 7 18 relying rely VERB g445cc11w0m 7 19 on on ADP g445cc11w0m 7 20 any any DET g445cc11w0m 7 21 simulation simulation NOUN g445cc11w0m 7 22 data datum NOUN g445cc11w0m 7 23 . . PUNCT g445cc11w0m 8 1 secondly secondly ADV g445cc11w0m 8 2 , , PUNCT g445cc11w0m 8 3 when when SCONJ g445cc11w0m 8 4 the the DET g445cc11w0m 8 5 flow flow NOUN g445cc11w0m 8 6 measurements measurement NOUN g445cc11w0m 8 7 are be AUX g445cc11w0m 8 8 sparse sparse ADJ g445cc11w0m 8 9 and and CCONJ g445cc11w0m 8 10 noisy noisy ADJ g445cc11w0m 8 11 , , PUNCT g445cc11w0m 8 12 we we PRON g445cc11w0m 8 13 propose propose VERB g445cc11w0m 8 14 an an DET g445cc11w0m 8 15 innovative innovative ADJ g445cc11w0m 8 16 physics physics NOUN g445cc11w0m 8 17 - - PUNCT g445cc11w0m 8 18 constrained constrain VERB g445cc11w0m 8 19 bayesian bayesian NOUN g445cc11w0m 8 20 deep deep ADJ g445cc11w0m 8 21 learning learning NOUN g445cc11w0m 8 22 approach approach NOUN g445cc11w0m 8 23 to to PART g445cc11w0m 8 24 reconstruct reconstruct VERB g445cc11w0m 8 25 flow flow NOUN g445cc11w0m 8 26 fields field NOUN g445cc11w0m 8 27 from from ADP g445cc11w0m 8 28 corrupted corrupted ADJ g445cc11w0m 8 29 velocity velocity NOUN g445cc11w0m 8 30 data datum NOUN g445cc11w0m 8 31 . . PUNCT g445cc11w0m 9 1 several several ADJ g445cc11w0m 9 2 test test NOUN g445cc11w0m 9 3 cases case NOUN g445cc11w0m 9 4 on on ADP g445cc11w0m 9 5 idealized idealize VERB g445cc11w0m 9 6 vascular vascular ADJ g445cc11w0m 9 7 flows flow NOUN g445cc11w0m 9 8 with with ADP g445cc11w0m 9 9 synthetic synthetic ADJ g445cc11w0m 9 10 measurement measurement NOUN g445cc11w0m 9 11 data datum NOUN g445cc11w0m 9 12 are be AUX g445cc11w0m 9 13 studied study VERB g445cc11w0m 9 14 to to PART g445cc11w0m 9 15 demonstrate demonstrate VERB g445cc11w0m 9 16 the the DET g445cc11w0m 9 17 merit merit NOUN g445cc11w0m 9 18 of of ADP g445cc11w0m 9 19 the the DET g445cc11w0m 9 20 proposed propose VERB g445cc11w0m 9 21 method method NOUN g445cc11w0m 9 22 . . PUNCT g445cc11w0m 10 1 in in ADP g445cc11w0m 10 2 the the DET g445cc11w0m 10 3 third third ADJ g445cc11w0m 10 4 part part NOUN g445cc11w0m 10 5 , , PUNCT g445cc11w0m 10 6 we we PRON g445cc11w0m 10 7 aim aim VERB g445cc11w0m 10 8 to to PART g445cc11w0m 10 9 discover discover VERB g445cc11w0m 10 10 the the DET g445cc11w0m 10 11 governing governing NOUN g445cc11w0m 10 12 equations equation NOUN g445cc11w0m 10 13 for for ADP g445cc11w0m 10 14 dynamical dynamical ADJ g445cc11w0m 10 15 systems system NOUN g445cc11w0m 10 16 from from ADP g445cc11w0m 10 17 limited limited ADJ g445cc11w0m 10 18 observation observation NOUN g445cc11w0m 10 19 data datum NOUN g445cc11w0m 10 20 . . PUNCT g445cc11w0m 11 1 to to PART g445cc11w0m 11 2 achieve achieve VERB g445cc11w0m 11 3 this this DET g445cc11w0m 11 4 goal goal NOUN g445cc11w0m 11 5 , , PUNCT g445cc11w0m 11 6 we we PRON g445cc11w0m 11 7 first first ADV g445cc11w0m 11 8 developed develop VERB g445cc11w0m 11 9 a a DET g445cc11w0m 11 10 deep deep ADJ g445cc11w0m 11 11 sparse sparse ADJ g445cc11w0m 11 12 bayesian bayesian ADJ g445cc11w0m 11 13 learning learning NOUN g445cc11w0m 11 14 approach approach NOUN g445cc11w0m 11 15 to to PART g445cc11w0m 11 16 uncover uncover VERB g445cc11w0m 11 17 the the DET g445cc11w0m 11 18 explicit explicit ADJ g445cc11w0m 11 19 governing govern VERB g445cc11w0m 11 20 equation equation NOUN g445cc11w0m 11 21 of of ADP g445cc11w0m 11 22 a a DET g445cc11w0m 11 23 parametric parametric ADJ g445cc11w0m 11 24 dynamic dynamic ADJ g445cc11w0m 11 25 system system NOUN g445cc11w0m 11 26 , , PUNCT g445cc11w0m 11 27 where where SCONJ g445cc11w0m 11 28 predictive predictive ADJ g445cc11w0m 11 29 uncertainty uncertainty NOUN g445cc11w0m 11 30 will will AUX g445cc11w0m 11 31 be be AUX g445cc11w0m 11 32 estimated estimate VERB g445cc11w0m 11 33 . . PUNCT g445cc11w0m 12 1 to to PART g445cc11w0m 12 2 further far ADV g445cc11w0m 12 3 improve improve VERB g445cc11w0m 12 4 the the DET g445cc11w0m 12 5 robustness robustness NOUN g445cc11w0m 12 6 against against ADP g445cc11w0m 12 7 data datum NOUN g445cc11w0m 12 8 noise noise NOUN g445cc11w0m 12 9 , , PUNCT g445cc11w0m 12 10 we we PRON g445cc11w0m 12 11 propose propose VERB g445cc11w0m 12 12 another another DET g445cc11w0m 12 13 bayesian bayesian ADJ g445cc11w0m 12 14 spline spline ADJ g445cc11w0m 12 15 learning learning NOUN g445cc11w0m 12 16 approach approach NOUN g445cc11w0m 12 17 for for ADP g445cc11w0m 12 18 equation equation NOUN g445cc11w0m 12 19 discovery discovery PROPN g445cc11w0m 12 20 . . PUNCT g445cc11w0m 13 1 several several ADJ g445cc11w0m 13 2 linear linear PROPN g445cc11w0m 13 3 / / SYM g445cc11w0m 13 4 nonlinear nonlinear ADJ g445cc11w0m 13 5 ode ode NOUN g445cc11w0m 13 6 / / SYM g445cc11w0m 13 7 pde pde NOUN g445cc11w0m 13 8 systems system NOUN g445cc11w0m 13 9 are be AUX g445cc11w0m 13 10 used use VERB g445cc11w0m 13 11 to to PART g445cc11w0m 13 12 demonstrate demonstrate VERB g445cc11w0m 13 13 the the DET g445cc11w0m 13 14 effectiveness effectiveness NOUN g445cc11w0m 13 15 . . PUNCT g445cc11w0m 14 1 in in ADP g445cc11w0m 14 2 the the DET g445cc11w0m 14 3 last last ADJ g445cc11w0m 14 4 part part NOUN g445cc11w0m 14 5 , , PUNCT g445cc11w0m 14 6 we we PRON g445cc11w0m 14 7 also also ADV g445cc11w0m 14 8 proposed propose VERB g445cc11w0m 14 9 to to PART g445cc11w0m 14 10 use use VERB g445cc11w0m 14 11 a a DET g445cc11w0m 14 12 normalizing normalizing ADJ g445cc11w0m 14 13 flow flow NOUN g445cc11w0m 14 14 based base VERB g445cc11w0m 14 15 model model NOUN g445cc11w0m 14 16 to to PART g445cc11w0m 14 17 predict predict VERB g445cc11w0m 14 18 complex complex ADJ g445cc11w0m 14 19 dynamics dynamic NOUN g445cc11w0m 14 20 . . PUNCT g445cc11w0m 15 1 the the DET g445cc11w0m 15 2 preliminary preliminary ADJ g445cc11w0m 15 3 result result NOUN g445cc11w0m 15 4 shows show VERB g445cc11w0m 15 5 that that SCONJ g445cc11w0m 15 6 the the DET g445cc11w0m 15 7 prediction prediction NOUN g445cc11w0m 15 8 is be AUX g445cc11w0m 15 9 accurate accurate ADJ g445cc11w0m 15 10 and and CCONJ g445cc11w0m 15 11 the the DET g445cc11w0m 15 12 model model NOUN g445cc11w0m 15 13 can can AUX g445cc11w0m 15 14 give give VERB g445cc11w0m 15 15 reasonable reasonable ADJ g445cc11w0m 15 16 forward forward ADJ g445cc11w0m 15 17 uncertainty uncertainty NOUN g445cc11w0m 15 18 estimation estimation NOUN g445cc11w0m 15 19 . . PUNCT