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_0000_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,266,957,766 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.3660001706073259,
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0
],
"end": [
0.3660001706073259,
0.250295517268704,
1
],
"radius": 0.12744674787337384
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2610,
"n_edges": 15188,
"n_faces": 23732,
"n_tetrahedra": 11153,
"nonmanifold_faces": 0
} | {
"minimum": 0.46648460626602173,
"p01": 0.641014974117279,
"mean": 0.8575499057769775,
"maximum": 0.997626006603241
} | {
"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_0001_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 41,299,026 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.5354912271255083,
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0
],
"end": [
0.5354912271255083,
0.49380416988344816,
1
],
"radius": 0.11834569767514488
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2472,
"n_edges": 14368,
"n_faces": 22460,
"n_tetrahedra": 10563,
"nonmanifold_faces": 0
} | {
"minimum": 0.5110589265823364,
"p01": 0.6714783596992493,
"mean": 0.8664798140525818,
"maximum": 0.9992165565490723
} | {
"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_0002_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,447,733,345 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.3649149209271827,
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0
],
"end": [
1.3649149209271827,
0.45954555021261706,
1
],
"radius": 0.10111178809461803
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2539,
"n_edges": 14867,
"n_faces": 23327,
"n_tetrahedra": 10998,
"nonmanifold_faces": 0
} | {
"minimum": 0.4289810061454773,
"p01": 0.6567647117376327,
"mean": 0.8631595373153687,
"maximum": 0.9999821782112122
} | {
"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_0003_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,699,574,706 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.0998484732782687,
0.34018625517343987,
0
],
"end": [
1.0998484732782687,
0.34018625517343987,
1
],
"radius": 0.13426732341783562
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2542,
"n_edges": 14755,
"n_faces": 23027,
"n_tetrahedra": 10813,
"nonmanifold_faces": 0
} | {
"minimum": 0.49337849020957947,
"p01": 0.6545768594741821,
"mean": 0.8575945496559143,
"maximum": 0.9991979598999023
} | {
"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_0004_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,710,243,912 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.678593367944304,
0.47992972665839495,
0
],
"end": [
1.678593367944304,
0.47992972665839495,
1
],
"radius": 0.12327133402035395
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2541,
"n_edges": 14841,
"n_faces": 23242,
"n_tetrahedra": 10941,
"nonmanifold_faces": 0
} | {
"minimum": 0.5348138213157654,
"p01": 0.6655338764190674,
"mean": 0.8626536130905151,
"maximum": 0.9995580911636353
} | {
"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_0005_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 780,963,774 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.2985593951691989,
0.6011919427939111,
0
],
"end": [
0.2985593951691989,
0.6011919427939111,
1
],
"radius": 0.11353902947396571
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2534,
"n_edges": 14789,
"n_faces": 23155,
"n_tetrahedra": 10899,
"nonmanifold_faces": 0
} | {
"minimum": 0.431392103433609,
"p01": 0.6678786802291871,
"mean": 0.8634299039840698,
"maximum": 0.9989266395568848
} | {
"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_0006_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 90,669,670 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.4660710232405851,
0.7220336645427203,
0
],
"end": [
1.4660710232405851,
0.7220336645427203,
1
],
"radius": 0.13004184990431233
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2517,
"n_edges": 14640,
"n_faces": 22882,
"n_tetrahedra": 10758,
"nonmanifold_faces": 0
} | {
"minimum": 0.5413162708282471,
"p01": 0.6631686395406723,
"mean": 0.8630160093307495,
"maximum": 0.9989686012268066
} | {
"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_0007_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,404,695,106 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.947342586831111,
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0
],
"end": [
0.947342586831111,
0.7143421829454509,
1
],
"radius": 0.13204204348856785
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2522,
"n_edges": 14574,
"n_faces": 22707,
"n_tetrahedra": 10654,
"nonmanifold_faces": 0
} | {
"minimum": 0.5484207272529602,
"p01": 0.663853930234909,
"mean": 0.8635661602020264,
"maximum": 0.9980031251907349
} | {
"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_0008_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,050,635,743 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.7877620475152203,
0.3710152264710089,
0
],
"end": [
0.7877620475152203,
0.3710152264710089,
1
],
"radius": 0.12267603865812816
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2518,
"n_edges": 14607,
"n_faces": 22793,
"n_tetrahedra": 10703,
"nonmanifold_faces": 0
} | {
"minimum": 0.42758435010910034,
"p01": 0.6572247016429901,
"mean": 0.8606054782867432,
"maximum": 0.9994126558303833
} | {
"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_0009_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 234,464,101 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.9302162182615062,
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0
],
"end": [
0.9302162182615062,
0.32910150756410067,
1
],
"radius": 0.1297978193673097
}
],
"cavities": [... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2568,
"n_edges": 14953,
"n_faces": 23378,
"n_tetrahedra": 10992,
"nonmanifold_faces": 0
} | {
"minimum": 0.5462268590927124,
"p01": 0.6572470480203628,
"mean": 0.859535813331604,
"maximum": 0.9993686079978943
} | {
"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_0010_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,089,666,603 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.6478214691202226,
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0
],
"end": [
0.6478214691202226,
0.6359904860228787,
1
],
"radius": 0.10500606287998225
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2585,
"n_edges": 15128,
"n_faces": 23720,
"n_tetrahedra": 11176,
"nonmanifold_faces": 0
} | {
"minimum": 0.40023213624954224,
"p01": 0.6544403582811356,
"mean": 0.8624696731567383,
"maximum": 0.9995792508125305
} | {
"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_0011_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,974,812,348 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.3617553426396047,
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0
],
"end": [
0.3617553426396047,
0.6904752166376985,
1
],
"radius": 0.1282186382089207
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2403,
"n_edges": 13883,
"n_faces": 21617,
"n_tetrahedra": 10136,
"nonmanifold_faces": 0
} | {
"minimum": 0.39038005471229553,
"p01": 0.6591906011104584,
"mean": 0.8607150912284851,
"maximum": 0.9993208050727844
} | {
"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_0012_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,956,471,589 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
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1
],
"radius": 0.13441619014056772
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2572,
"n_edges": 14905,
"n_faces": 23251,
"n_tetrahedra": 10917,
"nonmanifold_faces": 0
} | {
"minimum": 0.5241823196411133,
"p01": 0.6554722237586975,
"mean": 0.8594600558280945,
"maximum": 0.9990836381912231
} | {
"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_0013_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 350,250,299 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.166161946160115,
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0
],
"end": [
1.166161946160115,
0.5110466745792821,
1
],
"radius": 0.13014735579354028
}
],
"cavities": [
... | [
2,
1,
1
] | {
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"beta1": 1,
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} | {
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PA_train_0014_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 435,329,352 | {
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} | {
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} |
PA_train_0015_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 685,166,382 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0016_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 324,603,995 | {
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{
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],
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} | {
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"mean": 0.8589149713516235,
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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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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0017_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,960,279,324 | {
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{
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],
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2,
1,
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0018_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 581,537,220 | {
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{
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],
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"n_faces": 20891,
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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_0019_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,863,615,192 | {
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{
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2,
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0020_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 875,773,854 | {
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{
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],
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2,
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"n_vertices": 2448,
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} | {
"minimum": 0.4466967284679413,
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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_0021_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,029,944,647 | {
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{
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],
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2,
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"n_vertices": 2433,
"n_edges": 14031,
"n_faces": 21819,
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} | {
"minimum": 0.517257034778595,
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"mean": 0.8559798002243042,
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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": [
"x_normalized",
"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_0022_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,472,060,509 | {
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"tunnels": [
{
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],
"cavities": ... | [
2,
1,
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"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2591,
"n_edges": 15162,
"n_faces": 23772,
"n_tetrahedra": 11200,
"nonmanifold_faces": 0
} | {
"minimum": 0.45482492446899414,
"p01": 0.6637545967102051,
"mean": 0.8634069561958313,
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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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"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_0023_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 54,041,752 | {
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{
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],
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"n_vertices": 2588,
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"n_faces": 23585,
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} | {
"minimum": 0.5681427121162415,
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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_0024_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 192,645,263 | {
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"n_vertices": 2533,
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} | {
"minimum": 0.47702255845069885,
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"mean": 0.8616542816162109,
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
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PA_train_0025_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,146,437,375 | {
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"n_vertices": 2446,
"n_edges": 14158,
"n_faces": 22060,
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} | {
"minimum": 0.4638647139072418,
"p01": 0.6565505075454712,
"mean": 0.858957052230835,
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"geometry_feature_names": [
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PA_train_0026_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,218,172,815 | {
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"n_vertices": 2437,
"n_edges": 14067,
"n_faces": 21883,
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} | {
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"mean": 0.8610121607780457,
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"geometry_feature_names": [
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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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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0027_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 77,804,124 | {
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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_0028_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,067,102,938 | {
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{
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"n_faces": 23495,
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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_0029_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 948,120,169 | {
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{
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],
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... | [
2,
1,
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"n_vertices": 2521,
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"n_faces": 23062,
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} | {
"minimum": 0.5368265509605408,
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"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_0030_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,667,900,188 | {
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{
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],
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... | [
2,
1,
1
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"n_vertices": 2419,
"n_edges": 14095,
"n_faces": 22046,
"n_tetrahedra": 10369,
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} | {
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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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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0031_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 815,844,956 | {
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{
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],
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... | [
2,
1,
1
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"n_vertices": 2616,
"n_edges": 15260,
"n_faces": 23887,
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} | {
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"mean": 0.8631609678268433,
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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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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0032_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 706,471,225 | {
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{
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... | [
2,
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1
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"n_faces": 22184,
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} | {
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"p01": 0.6468152403831482,
"mean": 0.8562914729118347,
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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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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0033_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,880,863,691 | {
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{
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],
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2,
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"n_vertices": 2461,
"n_edges": 14306,
"n_faces": 22349,
"n_tetrahedra": 10503,
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} | {
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"mean": 0.8610812425613403,
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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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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0034_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,672,539,703 | {
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{
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],
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... | [
2,
1,
1
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"boundary_components": 2,
"n_vertices": 2418,
"n_edges": 13960,
"n_faces": 21730,
"n_tetrahedra": 10187,
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} | {
"minimum": 0.5158648490905762,
"p01": 0.6512029206752777,
"mean": 0.8597656488418579,
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} | {
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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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"vtu": "mesh.vtu",
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} |
PA_train_0035_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,453,363,504 | {
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{
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],
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... | [
2,
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"boundary_components": 2,
"n_vertices": 2572,
"n_edges": 15005,
"n_faces": 23490,
"n_tetrahedra": 11056,
"nonmanifold_faces": 0
} | {
"minimum": 0.5160781741142273,
"p01": 0.6612381488084793,
"mean": 0.8627157807350159,
"maximum": 0.9990344047546387
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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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"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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"vtu": "mesh.vtu",
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PA_train_0036_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 247,299,590 | {
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{
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],
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2,
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"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2336,
"n_edges": 13480,
"n_faces": 20964,
"n_tetrahedra": 9819,
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} | {
"minimum": 0.4170420169830322,
"p01": 0.6419993972778321,
"mean": 0.8584190011024475,
"maximum": 0.9961069822311401
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"geometry_feature_names": [
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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_0037_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,621,527,351 | {
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{
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],
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"boundary_components": 2,
"n_vertices": 2498,
"n_edges": 14552,
"n_faces": 22765,
"n_tetrahedra": 10710,
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} | {
"minimum": 0.530921995639801,
"p01": 0.6547133582830429,
"mean": 0.8613773584365845,
"maximum": 0.9981375932693481
} | {
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"geometry_feature_names": [
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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_0038_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,532,636,492 | {
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"boundary_components": 2,
"n_vertices": 2494,
"n_edges": 14476,
"n_faces": 22602,
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} | {
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"mean": 0.8591887950897217,
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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",
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PA_train_0039_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,189,048,501 | {
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"n_vertices": 2538,
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"n_faces": 23122,
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} | {
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"geometry_feature_names": [
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PA_train_0040_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,854,018,381 | {
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PA_train_0041_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,147,262,386 | {
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PA_train_0042_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,650,182,701 | {
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} | {
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PA_train_0043_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 796,845,418 | {
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{
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PA_train_0044_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 817,197,354 | {
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PA_train_0045_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,311,283,169 | {
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} | {
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PA_train_0046_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 528,089,451 | {
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PA_train_0047_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 944,767,251 | {
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} | {
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PA_train_0048_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,476,344,438 | {
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} | {
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PA_train_0049_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 438,471,092 | {
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} | {
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PA_train_0050_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,175,557,607 | {
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} | {
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PA_train_0051_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,185,263,635 | {
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} | {
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PA_train_0052_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,347,240,100 | {
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} | {
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PA_train_0053_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 197,117,330 | {
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PA_train_0054_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 383,142,739 | {
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PA_train_0055_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,087,210,244 | {
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PA_train_0056_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,978,045,991 | {
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} | {
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PA_train_0057_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 980,750,056 | {
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PA_train_0058_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,336,253,072 | {
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PA_train_0059_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,083,134,541 | {
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} | {
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PA_train_0060_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 7,392,538 | {
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PA_train_0061_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,990,922,381 | {
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} | {
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PA_train_0062_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,864,371,043 | {
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} | {
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PA_train_0063_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,555,596,709 | {
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} | {
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PA_train_0064_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,874,173,689 | {
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PA_train_0065_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 807,697,163 | {
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PA_train_0066_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,222,429,651 | {
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PA_train_0067_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 854,302,732 | {
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PA_train_0068_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 667,469,328 | {
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PA_train_0069_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 485,085,138 | {
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PA_train_0070_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,126,076,589 | {
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PA_train_0071_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 808,229,663 | {
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PA_train_0072_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,097,690,859 | {
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PA_train_0073_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,375,851,402 | {
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PA_train_0074_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 828,517,753 | {
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PA_train_0075_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 64,003,977 | {
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PA_train_0076_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,199,464,110 | {
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PA_train_0077_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 917,257,786 | {
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PA_train_0078_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,233,178,469 | {
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PA_train_0079_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 760,100,086 | {
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PA_train_0080_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 571,281,944 | {
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PA_train_0081_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 670,710,268 | {
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PA_train_0082_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,412,043,873 | {
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PA_train_0083_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,299,247,399 | {
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} | {
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PA_train_0084_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,623,449,822 | {
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PA_train_0085_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 964,761,116 | {
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PA_train_0086_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,598,889,768 | {
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PA_train_0087_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 15,933,401 | {
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PA_train_0088_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,184,219,308 | {
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PA_train_0089_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 340,944,855 | {
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PA_train_0090_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 167,482,205 | {
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PA_train_0091_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 309,476,353 | {
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PA_train_0092_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 487,757,734 | {
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PA_train_0093_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,590,063,288 | {
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PA_train_0094_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 482,316,685 | {
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"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2446,
"n_edges": 14230,
"n_faces": 22238,
"n_tetrahedra": 10453,
"nonmanifold_faces": 0
} | {
"minimum": 0.48691827058792114,
"p01": 0.6465400528907775,
"mean": 0.8588802218437195,
"maximum": 0.9990759491920471
} | {
"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_0095_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 566,224,563 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.6577400107192355,
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],
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1.6577400107192355,
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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": 2401,
"n_edges": 13865,
"n_faces": 21577,
"n_tetrahedra": 10112,
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} | {
"minimum": 0.42890864610671997,
"p01": 0.6526484382152558,
"mean": 0.8588808178901672,
"maximum": 0.9981423020362854
} | {
"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_0096_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 631,038,821 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.7032324058407737,
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0
],
"end": [
1.7032324058407737,
0.5834885169157511,
1
],
"radius": 0.11600864520553056
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2387,
"n_edges": 13818,
"n_faces": 21543,
"n_tetrahedra": 10111,
"nonmanifold_faces": 0
} | {
"minimum": 0.525514543056488,
"p01": 0.6664636552333831,
"mean": 0.8607195615768433,
"maximum": 0.9984641671180725
} | {
"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_0097_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,678,405,871 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.5291189283964597,
0.2930179763213989,
0
],
"end": [
0.5291189283964597,
0.2930179763213989,
1
],
"radius": 0.10259620470458546
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2487,
"n_edges": 14517,
"n_faces": 22730,
"n_tetrahedra": 10699,
"nonmanifold_faces": 0
} | {
"minimum": 0.5261011123657227,
"p01": 0.6623439025878907,
"mean": 0.8626551032066345,
"maximum": 0.9975852966308594
} | {
"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_0098_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,941,146,697 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.6238167911669391,
0.7326445019032859,
0
],
"end": [
0.6238167911669391,
0.7326445019032859,
1
],
"radius": 0.11256453358140303
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2517,
"n_edges": 14641,
"n_faces": 22879,
"n_tetrahedra": 10754,
"nonmanifold_faces": 0
} | {
"minimum": 0.550418496131897,
"p01": 0.6622763723134995,
"mean": 0.8625500798225403,
"maximum": 0.998835563659668
} | {
"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_0099_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 454,692,788 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.6131845987383924,
0.42821209533141535,
0
],
"end": [
0.6131845987383924,
0.42821209533141535,
1
],
"radius": 0.12234146311808028
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2470,
"n_edges": 14327,
"n_faces": 22354,
"n_tetrahedra": 10496,
"nonmanifold_faces": 0
} | {
"minimum": 0.5229569673538208,
"p01": 0.6543676912784576,
"mean": 0.8605968356132507,
"maximum": 0.9988256096839905
} | {
"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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