geometry_id stringlengths 17 17 | protocol stringclasses 4
values | protocol_name stringclasses 4
values | split stringclasses 1
value | is_ood bool 1
class | beta1 int64 0 2 | beta2 int64 0 2 | geometry_family stringclasses 1
value | seed int64 913k 2.15B | geometry dict | box listlengths 3 3 | topology dict | mesh_quality dict | boundary_encoding dict | tno_complex dict | files dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
PA_train_0300_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,810,732,645 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.2861116257683494,
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0
],
"end": [
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0.4875869900322601,
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],
"radius": 0.10873796694015385
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2484,
"n_edges": 14523,
"n_faces": 22759,
"n_tetrahedra": 10719,
"nonmanifold_faces": 0
} | {
"minimum": 0.43964460492134094,
"p01": 0.657687817811966,
"mean": 0.8636073470115662,
"maximum": 0.9983803033828735
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0301_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 162,774,773 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.693018514463387,
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0
],
"end": [
0.693018514463387,
0.4475993315790989,
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],
"radius": 0.12764358304159176
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2585,
"n_edges": 15112,
"n_faces": 23696,
"n_tetrahedra": 11168,
"nonmanifold_faces": 0
} | {
"minimum": 0.5427151322364807,
"p01": 0.6656739431619644,
"mean": 0.8628920316696167,
"maximum": 0.9996454119682312
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0302_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,319,641,959 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.7803728975521268,
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0
],
"end": [
0.7803728975521268,
0.34975168860081013,
1
],
"radius": 0.10410402322955192
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2446,
"n_edges": 14158,
"n_faces": 22059,
"n_tetrahedra": 10346,
"nonmanifold_faces": 0
} | {
"minimum": 0.3343988060951233,
"p01": 0.6407579511404038,
"mean": 0.8607679009437561,
"maximum": 0.997861921787262
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0303_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,611,703,264 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.1273536298421725,
0.30481328983644396,
0
],
"end": [
1.1273536298421725,
0.30481328983644396,
1
],
"radius": 0.12294585412382872
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2577,
"n_edges": 14940,
"n_faces": 23306,
"n_tetrahedra": 10942,
"nonmanifold_faces": 0
} | {
"minimum": 0.37785983085632324,
"p01": 0.6398406571149826,
"mean": 0.8601667881011963,
"maximum": 0.9995642304420471
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0304_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 152,816,725 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.30911137882939477,
0.24656221910153803,
0
],
"end": [
0.30911137882939477,
0.24656221910153803,
1
],
"radius": 0.12475362413041384
}
],
"cavities"... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2624,
"n_edges": 15349,
"n_faces": 24062,
"n_tetrahedra": 11336,
"nonmanifold_faces": 0
} | {
"minimum": 0.4095228314399719,
"p01": 0.645794951915741,
"mean": 0.8622674942016602,
"maximum": 0.998505711555481
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0305_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,925,156,147 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.777659400134461,
0.6737538459706248,
0
],
"end": [
1.777659400134461,
0.6737538459706248,
1
],
"radius": 0.12178375968690602
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2511,
"n_edges": 14621,
"n_faces": 22859,
"n_tetrahedra": 10748,
"nonmanifold_faces": 0
} | {
"minimum": 0.4910312294960022,
"p01": 0.6516149371862412,
"mean": 0.8616325259208679,
"maximum": 0.9997529983520508
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0306_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 278,447,859 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.4928490074852858,
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0
],
"end": [
1.4928490074852858,
0.7515584107667485,
1
],
"radius": 0.10815986805270458
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2535,
"n_edges": 14784,
"n_faces": 23140,
"n_tetrahedra": 10890,
"nonmanifold_faces": 0
} | {
"minimum": 0.5473931431770325,
"p01": 0.6714572298526764,
"mean": 0.8651970624923706,
"maximum": 0.999491810798645
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0307_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,032,435,039 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.541032454632535,
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0
],
"end": [
1.541032454632535,
0.7735387092220618,
1
],
"radius": 0.12099563807851779
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2537,
"n_edges": 14776,
"n_faces": 23117,
"n_tetrahedra": 10877,
"nonmanifold_faces": 0
} | {
"minimum": 0.4721297025680542,
"p01": 0.6537061786651611,
"mean": 0.861998975276947,
"maximum": 0.9996486902236938
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0308_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 395,757,784 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.35398554878595867,
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0
],
"end": [
0.35398554878595867,
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],
"radius": 0.12161648038733788
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2519,
"n_edges": 14700,
"n_faces": 23011,
"n_tetrahedra": 10829,
"nonmanifold_faces": 0
} | {
"minimum": 0.5173155069351196,
"p01": 0.6655482316017151,
"mean": 0.8609737157821655,
"maximum": 0.9990010261535645
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0309_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 736,129,396 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.8484727170040007,
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0
],
"end": [
0.8484727170040007,
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],
"radius": 0.1186656917776059
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2609,
"n_edges": 15218,
"n_faces": 23828,
"n_tetrahedra": 11218,
"nonmanifold_faces": 0
} | {
"minimum": 0.5669980049133301,
"p01": 0.6779866391420364,
"mean": 0.864456832408905,
"maximum": 0.999362587928772
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0310_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,089,883,571 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.5576612091523165,
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0
],
"end": [
1.5576612091523165,
0.39985369631928036,
1
],
"radius": 0.10604686749202151
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2546,
"n_edges": 14902,
"n_faces": 23360,
"n_tetrahedra": 11003,
"nonmanifold_faces": 0
} | {
"minimum": 0.49732741713523865,
"p01": 0.6656160533428193,
"mean": 0.8603962063789368,
"maximum": 0.9990473389625549
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0311_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 605,261,532 | {
"family": "A",
"tunnels": [
{
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"start": [
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],
"end": [
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],
"radius": 0.11589587021172058
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2481,
"n_edges": 14397,
"n_faces": 22464,
"n_tetrahedra": 10547,
"nonmanifold_faces": 0
} | {
"minimum": 0.4576771557331085,
"p01": 0.65674511551857,
"mean": 0.8603940606117249,
"maximum": 0.9989891648292542
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0312_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,159,901,916 | {
"family": "A",
"tunnels": [
{
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"start": [
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],
"end": [
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],
"radius": 0.11597015176062991
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2489,
"n_edges": 14497,
"n_faces": 22669,
"n_tetrahedra": 10660,
"nonmanifold_faces": 0
} | {
"minimum": 0.48655980825424194,
"p01": 0.6475158911943436,
"mean": 0.8590009808540344,
"maximum": 0.9984076619148254
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0313_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,642,984,846 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
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],
"radius": 0.1027562150551145
}
],
"cavities": [
... | [
2,
1,
1
] | {
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"beta1": 1,
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PA_train_0314_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 763,421,678 | {
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} | {
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PA_train_0315_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,385,899,296 | {
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{
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} | {
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PA_train_0316_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,505,540,574 | {
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{
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... | [
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0317_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 328,025,238 | {
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{
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],
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... | [
2,
1,
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} | {
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PA_train_0318_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,206,159,154 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0319_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,075,563,987 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0320_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 648,804,080 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0321_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 101,175,837 | {
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{
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} | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0322_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,187,087,396 | {
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{
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"n_vertices": 2514,
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} | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0323_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,038,866,197 | {
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],
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} | {
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PA_train_0324_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,391,906,468 | {
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} | {
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PA_train_0325_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 300,220,073 | {
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"n_vertices": 2489,
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"n_faces": 22694,
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} | {
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"mean": 0.8619419932365417,
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
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PA_train_0326_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 146,629,558 | {
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} | {
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PA_train_0327_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,948,116,284 | {
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PA_train_0328_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 44,171,559 | {
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PA_train_0329_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,009,895,440 | {
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PA_train_0330_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 309,098,937 | {
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{
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} | {
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PA_train_0331_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,204,095,006 | {
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PA_train_0332_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 629,804,754 | {
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PA_train_0333_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,606,866,222 | {
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} | {
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PA_train_0334_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,152,172,497 | {
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} | {
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PA_train_0335_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,565,331,325 | {
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} | {
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PA_train_0336_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,100,770,071 | {
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} | {
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PA_train_0337_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 49,113,428 | {
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PA_train_0338_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,854,901,690 | {
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PA_train_0339_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,430,509,383 | {
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PA_train_0340_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,227,881,895 | {
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PA_train_0341_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 691,167,152 | {
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PA_train_0342_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,935,073,138 | {
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{
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} | {
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PA_train_0343_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 597,403,048 | {
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{
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} | {
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PA_train_0344_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,249,349,521 | {
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{
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PA_train_0345_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,184,839,513 | {
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} | {
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PA_train_0346_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,777,622,090 | {
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{
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} | {
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PA_train_0347_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 435,621,553 | {
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{
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} | {
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PA_train_0348_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 296,205,072 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0349_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 455,344,752 | {
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PA_train_0350_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 103,999,499 | {
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PA_train_0351_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,198,987,403 | {
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PA_train_0352_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,387,093,542 | {
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PA_train_0353_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,061,893,130 | {
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PA_train_0354_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,712,117,509 | {
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PA_train_0355_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 582,157,430 | {
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{
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PA_train_0356_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 532,098,948 | {
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PA_train_0357_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,980,819,990 | {
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{
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} | {
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PA_train_0358_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,294,805,662 | {
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PA_train_0359_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,669,819,597 | {
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{
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} | {
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PA_train_0360_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,675,845,736 | {
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{
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} | {
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PA_train_0361_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 449,282,606 | {
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} | {
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PA_train_0362_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 362,998,297 | {
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{
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} | {
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PA_train_0363_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,134,198,168 | {
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} | {
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PA_train_0364_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 824,463,546 | {
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PA_train_0365_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 570,290,545 | {
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} | {
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PA_train_0366_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,376,742,550 | {
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} | {
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PA_train_0367_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,116,672,805 | {
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PA_train_0368_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,074,250,441 | {
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PA_train_0369_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,673,770,620 | {
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PA_train_0370_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 85,701,756 | {
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PA_train_0371_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,653,306,774 | {
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PA_train_0372_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 805,555,819 | {
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PA_train_0373_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 763,394,913 | {
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PA_train_0374_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 692,133,503 | {
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PA_train_0375_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,378,465,230 | {
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PA_train_0376_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,373,818,631 | {
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PA_train_0377_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,149,214,772 | {
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PA_train_0378_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 908,422,912 | {
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PA_train_0379_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 943,715,690 | {
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PA_train_0380_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,355,022,595 | {
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PA_train_0381_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,543,976,251 | {
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PA_train_0382_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 298,249,676 | {
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PA_train_0383_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,854,449,067 | {
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} | {
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PA_train_0384_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 812,797,253 | {
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PA_train_0385_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,542,619,838 | {
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} | {
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PA_train_0386_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 483,554,006 | {
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PA_train_0387_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,472,459,673 | {
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} | {
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PA_train_0388_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,663,473,978 | {
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} | {
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PA_train_0389_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 166,711,436 | {
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} | {
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PA_train_0390_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,258,023,604 | {
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} | {
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PA_train_0391_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,417,763,169 | {
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PA_train_0392_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,411,323,270 | {
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PA_train_0393_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,019,366,636 | {
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PA_train_0394_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,984,961,584 | {
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"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2368,
"n_edges": 13691,
"n_faces": 21328,
"n_tetrahedra": 10004,
"nonmanifold_faces": 0
} | {
"minimum": 0.5600301623344421,
"p01": 0.6555927449464798,
"mean": 0.8600665330886841,
"maximum": 0.9987267255783081
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0395_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,995,401,549 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.4604148914675008,
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0
],
"end": [
1.4604148914675008,
0.550361674893348,
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],
"radius": 0.1141572636512844
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2524,
"n_edges": 14760,
"n_faces": 23135,
"n_tetrahedra": 10898,
"nonmanifold_faces": 0
} | {
"minimum": 0.481218159198761,
"p01": 0.6617390894889832,
"mean": 0.8640727400779724,
"maximum": 0.9979085922241211
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0396_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,690,786,526 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.1111292943322675,
0.3072091085274644,
0
],
"end": [
1.1111292943322675,
0.3072091085274644,
1
],
"radius": 0.11099420449919051
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2542,
"n_edges": 14865,
"n_faces": 23301,
"n_tetrahedra": 10977,
"nonmanifold_faces": 0
} | {
"minimum": 0.4280243217945099,
"p01": 0.665955834388733,
"mean": 0.8618149161338806,
"maximum": 0.9989020228385925
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0397_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,232,473,253 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.2105240178892973,
0.4385929747962001,
0
],
"end": [
1.2105240178892973,
0.4385929747962001,
1
],
"radius": 0.10739790770723605
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2528,
"n_edges": 14747,
"n_faces": 23088,
"n_tetrahedra": 10868,
"nonmanifold_faces": 0
} | {
"minimum": 0.4677065908908844,
"p01": 0.6621591287851334,
"mean": 0.8641807436943054,
"maximum": 0.9987662434577942
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0398_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,948,064,104 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.26191991530447,
0.36643650696758323,
0
],
"end": [
1.26191991530447,
0.36643650696758323,
1
],
"radius": 0.12781783618234657
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2560,
"n_edges": 14948,
"n_faces": 23423,
"n_tetrahedra": 11034,
"nonmanifold_faces": 0
} | {
"minimum": 0.3882243037223816,
"p01": 0.6651129150390624,
"mean": 0.8673754930496216,
"maximum": 0.9988928437232971
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0399_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 525,665,438 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.6237688127035858,
0.42282208554876155,
0
],
"end": [
0.6237688127035858,
0.42282208554876155,
1
],
"radius": 0.1198716677703937
}
],
"cavities": [... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2490,
"n_edges": 14521,
"n_faces": 22728,
"n_tetrahedra": 10696,
"nonmanifold_faces": 0
} | {
"minimum": 0.5478118062019348,
"p01": 0.6615594536066055,
"mean": 0.8630508184432983,
"maximum": 0.9977847933769226
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
"distance_sentinel": 2.5,
"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
"incidence": "COO arrays incidence_{1,2,3}_{row,col,value,shape}",
"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
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