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_0600_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,023,136,741 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
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0.3503149740631779,
1
],
"radius": 0.1165474399281077
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2462,
"n_edges": 14300,
"n_faces": 22339,
"n_tetrahedra": 10500,
"nonmanifold_faces": 0
} | {
"minimum": 0.5175928473472595,
"p01": 0.655937192440033,
"mean": 0.8612973690032959,
"maximum": 0.996384859085083
} | {
"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_0601_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,103,082,166 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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],
"end": [
0.9819872545938126,
0.4373769511006601,
1
],
"radius": 0.10490384529063178
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2533,
"n_edges": 14784,
"n_faces": 23148,
"n_tetrahedra": 10896,
"nonmanifold_faces": 0
} | {
"minimum": 0.3628620207309723,
"p01": 0.6651898562908173,
"mean": 0.86305832862854,
"maximum": 0.9994760155677795
} | {
"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_0602_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,014,471,614 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.5039826246818666,
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0
],
"end": [
1.5039826246818666,
0.483734841824363,
1
],
"radius": 0.10207271769755502
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2463,
"n_edges": 14342,
"n_faces": 22430,
"n_tetrahedra": 10550,
"nonmanifold_faces": 0
} | {
"minimum": 0.532936692237854,
"p01": 0.663416713476181,
"mean": 0.8652356863021851,
"maximum": 0.9997690320014954
} | {
"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_0603_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,654,055,413 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.934760368899139,
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0
],
"end": [
0.934760368899139,
0.3811828777082894,
1
],
"radius": 0.11557361783156558
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2542,
"n_edges": 14806,
"n_faces": 23166,
"n_tetrahedra": 10901,
"nonmanifold_faces": 0
} | {
"minimum": 0.42198842763900757,
"p01": 0.6586494445800781,
"mean": 0.8631380796432495,
"maximum": 0.9988386631011963
} | {
"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_0604_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,688,371,363 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.573664579708284,
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0
],
"end": [
1.573664579708284,
0.33065234001474464,
1
],
"radius": 0.11942149532843445
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2404,
"n_edges": 13891,
"n_faces": 21646,
"n_tetrahedra": 10158,
"nonmanifold_faces": 0
} | {
"minimum": 0.5119286775588989,
"p01": 0.66301992893219,
"mean": 0.8619617819786072,
"maximum": 0.9991154074668884
} | {
"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_0605_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,798,195,148 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.5597466445194634,
0.44696516493853944,
0
],
"end": [
0.5597466445194634,
0.44696516493853944,
1
],
"radius": 0.11022145718742178
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2477,
"n_edges": 14482,
"n_faces": 22690,
"n_tetrahedra": 10684,
"nonmanifold_faces": 0
} | {
"minimum": 0.5336997509002686,
"p01": 0.6661489301919937,
"mean": 0.8621993660926819,
"maximum": 0.9984540343284607
} | {
"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_0606_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,700,016,593 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.8260754349804876,
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0
],
"end": [
0.8260754349804876,
0.527909662879727,
1
],
"radius": 0.1056909846631463
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2509,
"n_edges": 14628,
"n_faces": 22887,
"n_tetrahedra": 10767,
"nonmanifold_faces": 0
} | {
"minimum": 0.5144438743591309,
"p01": 0.6648881542682648,
"mean": 0.862372636795044,
"maximum": 0.9985012412071228
} | {
"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_0607_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,343,312,216 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.621106933655929,
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0
],
"end": [
0.621106933655929,
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1
],
"radius": 0.10451573842754258
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2528,
"n_edges": 14705,
"n_faces": 22979,
"n_tetrahedra": 10801,
"nonmanifold_faces": 0
} | {
"minimum": 0.4742807149887085,
"p01": 0.6561189293861389,
"mean": 0.8612735867500305,
"maximum": 0.9991633892059326
} | {
"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_0608_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,201,761,200 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.5463272462252621,
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0
],
"end": [
0.5463272462252621,
0.2941892649242585,
1
],
"radius": 0.12421568362389024
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2561,
"n_edges": 14912,
"n_faces": 23330,
"n_tetrahedra": 10978,
"nonmanifold_faces": 0
} | {
"minimum": 0.5568603873252869,
"p01": 0.6663162785768509,
"mean": 0.8661000728607178,
"maximum": 0.9985455870628357
} | {
"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_0609_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,979,096,446 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.744030515210838,
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0
],
"end": [
1.744030515210838,
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1
],
"radius": 0.11523688000278938
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2378,
"n_edges": 13742,
"n_faces": 21406,
"n_tetrahedra": 10041,
"nonmanifold_faces": 0
} | {
"minimum": 0.38947269320487976,
"p01": 0.6473325252532959,
"mean": 0.8607380390167236,
"maximum": 0.9982521533966064
} | {
"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_0610_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 387,946,377 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.5943868281640938,
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0
],
"end": [
1.5943868281640938,
0.31001387784828566,
1
],
"radius": 0.11689072692007466
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2488,
"n_edges": 14471,
"n_faces": 22630,
"n_tetrahedra": 10646,
"nonmanifold_faces": 0
} | {
"minimum": 0.5252478122711182,
"p01": 0.6654325723648071,
"mean": 0.864812433719635,
"maximum": 0.9993030428886414
} | {
"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_0611_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,147,450,376 | {
"family": "A",
"tunnels": [
{
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"start": [
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],
"end": [
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1
],
"radius": 0.11669089488239438
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2456,
"n_edges": 14285,
"n_faces": 22326,
"n_tetrahedra": 10496,
"nonmanifold_faces": 0
} | {
"minimum": 0.541490912437439,
"p01": 0.6636120915412903,
"mean": 0.8627837300300598,
"maximum": 0.9990372061729431
} | {
"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_0612_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 785,447,489 | {
"family": "A",
"tunnels": [
{
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"start": [
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],
"end": [
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],
"radius": 0.12363973065369693
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2528,
"n_edges": 14677,
"n_faces": 22919,
"n_tetrahedra": 10769,
"nonmanifold_faces": 0
} | {
"minimum": 0.5536931157112122,
"p01": 0.6713251233100891,
"mean": 0.8638123869895935,
"maximum": 0.9985085129737854
} | {
"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_0613_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 593,188,671 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
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1
],
"radius": 0.13136448779658738
}
],
"cavities": [
... | [
2,
1,
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PA_train_0614_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 132,308,943 | {
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} | {
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} |
PA_train_0615_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,654,605,880 | {
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{
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} | {
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} |
PA_train_0616_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,065,227,342 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0617_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,217,506,099 | {
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{
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... | [
2,
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1
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} | {
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} |
PA_train_0618_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 783,625,689 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0619_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,554,106,316 | {
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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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"npz": "mesh.npz"
} |
PA_train_0620_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 123,316,625 | {
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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_0621_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 50,778,169 | {
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{
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],
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2,
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"n_vertices": 2403,
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} | {
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"geometry_feature_names": [
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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_0622_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 413,248,512 | {
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{
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],
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2,
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1
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"n_vertices": 2461,
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"n_faces": 22145,
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} | {
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"mean": 0.858070969581604,
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
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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_0623_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 358,872,131 | {
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{
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"n_vertices": 2475,
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} | {
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"mean": 0.8644950985908508,
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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_0624_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 770,510,548 | {
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{
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"n_faces": 23808,
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} | {
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"mean": 0.8633014559745789,
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
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PA_train_0625_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 519,915,495 | {
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{
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"n_vertices": 2496,
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"n_faces": 22806,
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} | {
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"mean": 0.8620277643203735,
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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_0626_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 941,268,249 | {
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{
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"n_vertices": 2532,
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} | {
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"geometry_feature_names": [
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PA_train_0627_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 343,937,999 | {
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PA_train_0628_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 864,091,236 | {
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PA_train_0629_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,796,792,925 | {
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PA_train_0630_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,664,662,408 | {
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} | {
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PA_train_0631_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 488,398,824 | {
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PA_train_0632_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 863,969,035 | {
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PA_train_0633_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,261,631,079 | {
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} | {
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PA_train_0634_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 602,864,986 | {
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PA_train_0635_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 849,359,368 | {
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} | {
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PA_train_0636_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 880,715,849 | {
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PA_train_0637_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,793,814,346 | {
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PA_train_0638_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 304,991,228 | {
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PA_train_0639_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,607,399,494 | {
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PA_train_0640_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 472,079,802 | {
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PA_train_0641_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 450,525,624 | {
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PA_train_0642_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 302,376,187 | {
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PA_train_0643_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,783,112,337 | {
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PA_train_0644_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,101,920,243 | {
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PA_train_0645_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 506,358,707 | {
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PA_train_0646_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 38,217,366 | {
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PA_train_0647_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 385,159,419 | {
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PA_train_0648_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,103,338,079 | {
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PA_train_0649_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,964,661,171 | {
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PA_train_0650_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,216,459,013 | {
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PA_train_0651_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 418,238,779 | {
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PA_train_0652_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 243,156,240 | {
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PA_train_0653_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,330,568,072 | {
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PA_train_0654_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,098,099,761 | {
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PA_train_0655_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 966,211,987 | {
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PA_train_0656_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 843,268,243 | {
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PA_train_0657_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 214,932,713 | {
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PA_train_0658_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 792,887,518 | {
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PA_train_0659_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 451,176,706 | {
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PA_train_0660_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 439,632,108 | {
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PA_train_0661_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 285,314,319 | {
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PA_train_0662_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,024,421,893 | {
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PA_train_0663_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 179,476,532 | {
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PA_train_0664_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 390,601,220 | {
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PA_train_0665_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,916,839,264 | {
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PA_train_0666_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,044,644,546 | {
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PA_train_0667_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,541,131,042 | {
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PA_train_0668_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 335,079,579 | {
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PA_train_0669_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,517,362,833 | {
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PA_train_0670_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 841,583,042 | {
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PA_train_0671_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 834,447,312 | {
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PA_train_0672_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,971,702,198 | {
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PA_train_0673_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 191,092,055 | {
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PA_train_0674_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,916,352,830 | {
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PA_train_0675_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 9,794,889 | {
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PA_train_0676_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,570,397,338 | {
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PA_train_0677_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 198,130,925 | {
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PA_train_0678_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,063,514,507 | {
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PA_train_0679_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,419,518,607 | {
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PA_train_0680_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 128,358,822 | {
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PA_train_0682_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 448,614,395 | {
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PA_train_0683_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,083,227,844 | {
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PA_train_0684_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,202,138,434 | {
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PA_train_0685_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,116,917,834 | {
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PA_train_0686_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,597,050,495 | {
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PA_train_0687_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 129,023,366 | {
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PA_train_0688_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 253,292,489 | {
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PA_train_0689_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,719,413,021 | {
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PA_train_0690_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,411,171,183 | {
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PA_train_0691_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,968,799,844 | {
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PA_train_0692_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,007,813,921 | {
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PA_train_0693_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,758,406,684 | {
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PA_train_0694_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 299,865,260 | {
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] | {
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"beta1": 1,
"beta2": 1,
"beta3": 0,
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"boundary_components": 2,
"n_vertices": 2550,
"n_edges": 14843,
"n_faces": 23221,
"n_tetrahedra": 10927,
"nonmanifold_faces": 0
} | {
"minimum": 0.5726593136787415,
"p01": 0.6673930180072785,
"mean": 0.8620835542678833,
"maximum": 0.9986301064491272
} | {
"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_0695_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,092,122,798 | {
"family": "A",
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{
"kind": "circular_cylinder",
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],
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1.527222533219193,
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],
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],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
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"boundary_components": 2,
"n_vertices": 2559,
"n_edges": 14933,
"n_faces": 23380,
"n_tetrahedra": 11005,
"nonmanifold_faces": 0
} | {
"minimum": 0.541274905204773,
"p01": 0.6612264609336853,
"mean": 0.8613976240158081,
"maximum": 0.9986297488212585
} | {
"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_0696_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 485,343,267 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.1783670396957915,
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0
],
"end": [
1.1783670396957915,
0.36557414039078384,
1
],
"radius": 0.11170535526265635
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2453,
"n_edges": 14257,
"n_faces": 22281,
"n_tetrahedra": 10476,
"nonmanifold_faces": 0
} | {
"minimum": 0.4020301103591919,
"p01": 0.6629720330238342,
"mean": 0.86429762840271,
"maximum": 0.9988194704055786
} | {
"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_0697_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 126,467,157 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.9470399618787253,
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0
],
"end": [
0.9470399618787253,
0.71736571847635,
1
],
"radius": 0.12352288156569517
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2591,
"n_edges": 15041,
"n_faces": 23481,
"n_tetrahedra": 11030,
"nonmanifold_faces": 0
} | {
"minimum": 0.4943412244319916,
"p01": 0.6625555747747421,
"mean": 0.8624706268310547,
"maximum": 0.9989454746246338
} | {
"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_0698_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,849,348,982 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.3717022952795508,
0.6658061056564126,
0
],
"end": [
1.3717022952795508,
0.6658061056564126,
1
],
"radius": 0.13365938771028218
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2570,
"n_edges": 15020,
"n_faces": 23547,
"n_tetrahedra": 11096,
"nonmanifold_faces": 0
} | {
"minimum": 0.48879721760749817,
"p01": 0.6600216418504715,
"mean": 0.8627334833145142,
"maximum": 0.9972806572914124
} | {
"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_0699_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 105,231,175 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.5423625897238016,
0.6883101539977586,
0
],
"end": [
1.5423625897238016,
0.6883101539977586,
1
],
"radius": 0.1110369891171821
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2503,
"n_edges": 14579,
"n_faces": 22813,
"n_tetrahedra": 10736,
"nonmanifold_faces": 0
} | {
"minimum": 0.4879399836063385,
"p01": 0.6583568602800369,
"mean": 0.863731861114502,
"maximum": 0.9973718523979187
} | {
"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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