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_0500_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,595,506,523 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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],
"end": [
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],
"radius": 0.10071874111175523
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2545,
"n_edges": 14894,
"n_faces": 23358,
"n_tetrahedra": 11008,
"nonmanifold_faces": 0
} | {
"minimum": 0.44469743967056274,
"p01": 0.6611788302659989,
"mean": 0.862475574016571,
"maximum": 0.9989789724349976
} | {
"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_0501_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,438,233,000 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.400493047058814,
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0
],
"end": [
1.400493047058814,
0.6110980689302369,
1
],
"radius": 0.1303057009745744
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2520,
"n_edges": 14673,
"n_faces": 22951,
"n_tetrahedra": 10797,
"nonmanifold_faces": 0
} | {
"minimum": 0.5452142953872681,
"p01": 0.661868782043457,
"mean": 0.8630225658416748,
"maximum": 0.9976409077644348
} | {
"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_0502_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,252,771,167 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.64288838261054,
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0
],
"end": [
0.64288838261054,
0.2610143982852414,
1
],
"radius": 0.12839695411259672
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2534,
"n_edges": 14644,
"n_faces": 22805,
"n_tetrahedra": 10694,
"nonmanifold_faces": 0
} | {
"minimum": 0.380696564912796,
"p01": 0.6587155663967132,
"mean": 0.8623875975608826,
"maximum": 0.9983548521995544
} | {
"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_0503_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 69,110,757 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.2553077484440154,
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0
],
"end": [
1.2553077484440154,
0.2798986841943956,
1
],
"radius": 0.1309536255911468
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2458,
"n_edges": 14220,
"n_faces": 22153,
"n_tetrahedra": 10390,
"nonmanifold_faces": 0
} | {
"minimum": 0.5287399291992188,
"p01": 0.667036446928978,
"mean": 0.8606495261192322,
"maximum": 0.9979283213615417
} | {
"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_0504_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,523,296,822 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.5462373560362199,
0.792271574433856,
0
],
"end": [
0.5462373560362199,
0.792271574433856,
1
],
"radius": 0.10647083484472067
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2417,
"n_edges": 13919,
"n_faces": 21631,
"n_tetrahedra": 10128,
"nonmanifold_faces": 0
} | {
"minimum": 0.45811840891838074,
"p01": 0.6355586940050125,
"mean": 0.8571656942367554,
"maximum": 0.9985659718513489
} | {
"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_0505_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 85,248,782 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.9380639896264873,
0.5845006960015119,
0
],
"end": [
0.9380639896264873,
0.5845006960015119,
1
],
"radius": 0.11798735489610145
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2568,
"n_edges": 15003,
"n_faces": 23503,
"n_tetrahedra": 11067,
"nonmanifold_faces": 0
} | {
"minimum": 0.5297665596008301,
"p01": 0.6636418509483337,
"mean": 0.8620508909225464,
"maximum": 0.9995899200439453
} | {
"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_0506_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,061,809,221 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.8268875648934577,
0.23540049327081708,
0
],
"end": [
0.8268875648934577,
0.23540049327081708,
1
],
"radius": 0.12104288460272153
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2494,
"n_edges": 14405,
"n_faces": 22402,
"n_tetrahedra": 10490,
"nonmanifold_faces": 0
} | {
"minimum": 0.40757080912590027,
"p01": 0.6388590586185455,
"mean": 0.8549304008483887,
"maximum": 0.9981967210769653
} | {
"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_0507_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 886,114,775 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.6805413023933462,
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0
],
"end": [
1.6805413023933462,
0.5490670062767052,
1
],
"radius": 0.12700574718592234
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2535,
"n_edges": 14819,
"n_faces": 23234,
"n_tetrahedra": 10949,
"nonmanifold_faces": 0
} | {
"minimum": 0.515620768070221,
"p01": 0.6570976257324219,
"mean": 0.8628631234169006,
"maximum": 0.999751091003418
} | {
"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_0508_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,077,055,309 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
1.488059103109462,
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1
],
"radius": 0.1014264530005958
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2467,
"n_edges": 14402,
"n_faces": 22545,
"n_tetrahedra": 10609,
"nonmanifold_faces": 0
} | {
"minimum": 0.5514451265335083,
"p01": 0.6570068502426147,
"mean": 0.8618029356002808,
"maximum": 0.9996694326400757
} | {
"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_0509_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,588,957,046 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
1.7766446888659737,
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1
],
"radius": 0.12173217959055606
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2353,
"n_edges": 13514,
"n_faces": 20969,
"n_tetrahedra": 9807,
"nonmanifold_faces": 0
} | {
"minimum": 0.4446922838687897,
"p01": 0.6461256051063538,
"mean": 0.8582799434661865,
"maximum": 0.9997509121894836
} | {
"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_0510_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,304,350,396 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.8340497736880876,
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0
],
"end": [
0.8340497736880876,
0.6848098883803355,
1
],
"radius": 0.10130918000219079
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2552,
"n_edges": 14952,
"n_faces": 23460,
"n_tetrahedra": 11059,
"nonmanifold_faces": 0
} | {
"minimum": 0.4165591597557068,
"p01": 0.6571140301227569,
"mean": 0.863540530204773,
"maximum": 0.9986004829406738
} | {
"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_0511_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,488,924,096 | {
"family": "A",
"tunnels": [
{
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"start": [
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],
"end": [
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1
],
"radius": 0.11798942796117848
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2437,
"n_edges": 14148,
"n_faces": 22096,
"n_tetrahedra": 10384,
"nonmanifold_faces": 0
} | {
"minimum": 0.4776693880558014,
"p01": 0.6602996897697448,
"mean": 0.8626728057861328,
"maximum": 0.998969554901123
} | {
"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_0512_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,596,600,860 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
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1
],
"radius": 0.1050954812473549
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2528,
"n_edges": 14765,
"n_faces": 23133,
"n_tetrahedra": 10895,
"nonmanifold_faces": 0
} | {
"minimum": 0.4725176990032196,
"p01": 0.6590176784992218,
"mean": 0.861979603767395,
"maximum": 0.999104380607605
} | {
"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_0513_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,658,815,281 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.3368040504460206,
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0
],
"end": [
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1
],
"radius": 0.10083604984583171
}
],
"cavities": [
... | [
2,
1,
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PA_train_0514_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 573,653,899 | {
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} | {
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PA_train_0515_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 864,361,845 | {
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} | {
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PA_train_0516_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,235,464,203 | {
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{
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],
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... | [
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} | {
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} |
PA_train_0517_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 625,808,830 | {
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{
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} | {
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PA_train_0518_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,206,030,544 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0519_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,167,375,975 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0520_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,969,471,619 | {
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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_0521_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,670,702,771 | {
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{
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2,
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} | {
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"y_normalized",
"z_normaliz... | {
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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_0522_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 955,443,040 | {
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{
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2,
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"n_vertices": 2404,
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} | {
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"mean": 0.8567460775375366,
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"geometry_feature_names": [
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"z_normaliz... | {
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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_0523_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,645,076,526 | {
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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",
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PA_train_0524_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 413,673,721 | {
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} | {
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PA_train_0525_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 766,797,121 | {
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"n_vertices": 2361,
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} | {
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"geometry_feature_names": [
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
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PA_train_0526_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 102,968,491 | {
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} | {
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"geometry_feature_names": [
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PA_train_0527_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,815,405,311 | {
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PA_train_0528_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 74,637,184 | {
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} | {
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PA_train_0529_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,595,789,966 | {
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{
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} | {
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PA_train_0530_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 6,247,901 | {
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{
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... | [
2,
1,
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} | {
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PA_train_0531_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 46,366,503 | {
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{
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... | [
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} | {
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PA_train_0532_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,035,801,216 | {
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} | {
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PA_train_0533_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,834,885,342 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0534_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,385,740,757 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0535_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,089,941,760 | {
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{
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} | {
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PA_train_0536_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,677,311,891 | {
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} | {
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PA_train_0537_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 801,526,887 | {
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PA_train_0538_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,002,887,050 | {
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PA_train_0539_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,291,687,125 | {
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PA_train_0540_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,072,185,162 | {
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PA_train_0541_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 615,236,094 | {
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PA_train_0542_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,800,454,717 | {
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PA_train_0543_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 299,881,019 | {
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} | {
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PA_train_0544_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,609,809,525 | {
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} | {
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PA_train_0545_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 104,921,999 | {
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PA_train_0546_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,116,535,516 | {
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PA_train_0547_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 579,220,059 | {
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PA_train_0548_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,445,030,693 | {
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PA_train_0549_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,249,636,285 | {
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} | {
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PA_train_0550_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 311,105,625 | {
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PA_train_0551_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,178,011,834 | {
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PA_train_0552_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,090,883,797 | {
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PA_train_0553_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 456,958,899 | {
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PA_train_0554_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,760,755,280 | {
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PA_train_0555_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,307,181,550 | {
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} | {
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PA_train_0556_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,549,472,429 | {
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{
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} | {
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PA_train_0557_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 521,451,128 | {
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{
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... | [
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} | {
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PA_train_0558_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,766,960,826 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0559_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,111,692,944 | {
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{
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} | {
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PA_train_0560_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,543,963,488 | {
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0561_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 478,363,448 | {
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{
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2,
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} | {
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PA_train_0562_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,361,519,023 | {
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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_0563_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,506,084,038 | {
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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",
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PA_train_0564_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,776,267,063 | {
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} | {
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PA_train_0565_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,514,115,360 | {
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"n_vertices": 2438,
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} | {
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PA_train_0566_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 158,959,698 | {
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} | {
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PA_train_0567_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 292,091,511 | {
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PA_train_0568_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,976,980,110 | {
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} | {
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PA_train_0569_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,418,471,974 | {
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} | {
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PA_train_0570_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,761,960,745 | {
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} | {
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PA_train_0571_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 272,820,492 | {
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} | {
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PA_train_0572_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 836,061,319 | {
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PA_train_0573_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 475,673,347 | {
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PA_train_0574_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,330,791,029 | {
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PA_train_0575_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 136,310,149 | {
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} | {
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PA_train_0576_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 177,513,912 | {
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{
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} | {
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PA_train_0577_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 204,962,342 | {
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} | {
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PA_train_0578_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 221,723,641 | {
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} | {
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PA_train_0579_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 242,996,589 | {
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} | {
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PA_train_0580_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,016,354,102 | {
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} | {
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PA_train_0581_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 894,088,740 | {
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PA_train_0582_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 419,205,958 | {
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PA_train_0583_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 602,940,383 | {
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PA_train_0584_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 404,986,801 | {
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} | {
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PA_train_0585_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,555,933,034 | {
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{
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} | {
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PA_train_0586_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,056,827,648 | {
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} | {
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PA_train_0587_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,852,186,298 | {
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PA_train_0588_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,560,565,180 | {
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} | {
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PA_train_0589_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 91,291,733 | {
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} | {
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PA_train_0590_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,145,325,028 | {
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"n_vertices": 2503,
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} | {
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PA_train_0591_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 926,332,766 | {
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PA_train_0592_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 141,630,483 | {
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PA_train_0593_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,575,086,763 | {
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PA_train_0594_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,042,294,173 | {
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"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2617,
"n_edges": 15307,
"n_faces": 23999,
"n_tetrahedra": 11308,
"nonmanifold_faces": 0
} | {
"minimum": 0.5445277094841003,
"p01": 0.6561802542209625,
"mean": 0.8609257936477661,
"maximum": 0.9996646642684937
} | {
"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_0595_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,407,157,919 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.28793643797621493,
0.3773761767558369,
0
],
"end": [
0.28793643797621493,
0.3773761767558369,
1
],
"radius": 0.10017887454193858
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2383,
"n_edges": 13860,
"n_faces": 21655,
"n_tetrahedra": 10177,
"nonmanifold_faces": 0
} | {
"minimum": 0.49720993638038635,
"p01": 0.6685817885398865,
"mean": 0.8623751997947693,
"maximum": 0.9995797276496887
} | {
"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_0596_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,859,453,640 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.1147589489102954,
0.23262968796139477,
0
],
"end": [
1.1147589489102954,
0.23262968796139477,
1
],
"radius": 0.12636407959689375
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2615,
"n_edges": 15263,
"n_faces": 23901,
"n_tetrahedra": 11252,
"nonmanifold_faces": 0
} | {
"minimum": 0.46765783429145813,
"p01": 0.6567472290992736,
"mean": 0.862750768661499,
"maximum": 0.9976458549499512
} | {
"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_0597_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,443,634,342 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.8588153560580061,
0.2877723478348063,
0
],
"end": [
0.8588153560580061,
0.2877723478348063,
1
],
"radius": 0.12120134778474075
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2548,
"n_edges": 14848,
"n_faces": 23229,
"n_tetrahedra": 10928,
"nonmanifold_faces": 0
} | {
"minimum": 0.5399994254112244,
"p01": 0.6598281913995743,
"mean": 0.8629398941993713,
"maximum": 0.9982442855834961
} | {
"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_0598_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,048,915,944 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.496049308764496,
0.3630150918718299,
0
],
"end": [
1.496049308764496,
0.3630150918718299,
1
],
"radius": 0.10217772145878483
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2526,
"n_edges": 14742,
"n_faces": 23086,
"n_tetrahedra": 10869,
"nonmanifold_faces": 0
} | {
"minimum": 0.44427692890167236,
"p01": 0.6656026530265808,
"mean": 0.8652772307395935,
"maximum": 0.9983102083206177
} | {
"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_0599_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,135,552,821 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.9084694482798888,
0.7050881037353647,
0
],
"end": [
0.9084694482798888,
0.7050881037353647,
1
],
"radius": 0.13083707838696707
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2614,
"n_edges": 15270,
"n_faces": 23925,
"n_tetrahedra": 11268,
"nonmanifold_faces": 0
} | {
"minimum": 0.5114889144897461,
"p01": 0.6723955541849136,
"mean": 0.8663340210914612,
"maximum": 0.9971435070037842
} | {
"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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