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_0400_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,159,965,742 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.5798354943678613,
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0
],
"end": [
0.5798354943678613,
0.5495454699247125,
1
],
"radius": 0.11809853164602618
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2536,
"n_edges": 14755,
"n_faces": 23083,
"n_tetrahedra": 10863,
"nonmanifold_faces": 0
} | {
"minimum": 0.5054055452346802,
"p01": 0.67101487159729,
"mean": 0.8665082454681396,
"maximum": 0.9985421895980835
} | {
"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_0401_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 786,970,978 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.4695511436919756,
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0
],
"end": [
0.4695511436919756,
0.6822487808110209,
1
],
"radius": 0.11921429244902439
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2508,
"n_edges": 14643,
"n_faces": 22942,
"n_tetrahedra": 10806,
"nonmanifold_faces": 0
} | {
"minimum": 0.5093666911125183,
"p01": 0.6730757653713226,
"mean": 0.8656736016273499,
"maximum": 0.9992742538452148
} | {
"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_0402_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 27,618,661 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.6895488352532282,
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0
],
"end": [
1.6895488352532282,
0.5518881624674203,
1
],
"radius": 0.10940549989337046
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2370,
"n_edges": 13726,
"n_faces": 21408,
"n_tetrahedra": 10051,
"nonmanifold_faces": 0
} | {
"minimum": 0.5542314052581787,
"p01": 0.661139965057373,
"mean": 0.8614616394042969,
"maximum": 0.999186098575592
} | {
"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_0403_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,639,168,650 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.055256319042521,
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0
],
"end": [
1.055256319042521,
0.7226015179446454,
1
],
"radius": 0.13098920564890174
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2558,
"n_edges": 14908,
"n_faces": 23323,
"n_tetrahedra": 10972,
"nonmanifold_faces": 0
} | {
"minimum": 0.5503301620483398,
"p01": 0.6564415937662125,
"mean": 0.8605961203575134,
"maximum": 0.9988381862640381
} | {
"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_0404_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,721,905,638 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.1636679165897537,
0.5065255295029348,
0
],
"end": [
1.1636679165897537,
0.5065255295029348,
1
],
"radius": 0.11666429895173544
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2506,
"n_edges": 14561,
"n_faces": 22753,
"n_tetrahedra": 10697,
"nonmanifold_faces": 0
} | {
"minimum": 0.5113239884376526,
"p01": 0.6694030976295471,
"mean": 0.8644025325775146,
"maximum": 0.9980019330978394
} | {
"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_0405_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,504,767,528 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.1704547567736636,
0.5840050369809988,
0
],
"end": [
1.1704547567736636,
0.5840050369809988,
1
],
"radius": 0.12590112688597196
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2613,
"n_edges": 15194,
"n_faces": 23742,
"n_tetrahedra": 11160,
"nonmanifold_faces": 0
} | {
"minimum": 0.5718897581100464,
"p01": 0.6642222315073013,
"mean": 0.8614166975021362,
"maximum": 0.9994484186172485
} | {
"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_0406_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,852,605,691 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.6617834138132652,
0.37371121908812466,
0
],
"end": [
1.6617834138132652,
0.37371121908812466,
1
],
"radius": 0.1339469122321019
}
],
"cavities": [... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2581,
"n_edges": 15075,
"n_faces": 23619,
"n_tetrahedra": 11124,
"nonmanifold_faces": 0
} | {
"minimum": 0.5575266480445862,
"p01": 0.6545829033851623,
"mean": 0.862641453742981,
"maximum": 0.9985596537590027
} | {
"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_0407_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,720,899,756 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.8041421532122022,
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0
],
"end": [
0.8041421532122022,
0.31081766523731924,
1
],
"radius": 0.13227512758307547
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2540,
"n_edges": 14755,
"n_faces": 23048,
"n_tetrahedra": 10832,
"nonmanifold_faces": 0
} | {
"minimum": 0.4558087885379791,
"p01": 0.6688190293312073,
"mean": 0.8642140626907349,
"maximum": 0.9996027946472168
} | {
"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_0408_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,951,749,449 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
1.4948970856504278,
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],
"radius": 0.13335014969789905
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2532,
"n_edges": 14757,
"n_faces": 23073,
"n_tetrahedra": 10847,
"nonmanifold_faces": 0
} | {
"minimum": 0.5600695610046387,
"p01": 0.6616797840595245,
"mean": 0.8593462109565735,
"maximum": 0.99981290102005
} | {
"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_0409_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,055,433,367 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.865043117768461,
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0
],
"end": [
0.865043117768461,
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],
"radius": 0.1018164796356992
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2555,
"n_edges": 14894,
"n_faces": 23316,
"n_tetrahedra": 10976,
"nonmanifold_faces": 0
} | {
"minimum": 0.4161261022090912,
"p01": 0.6640007942914963,
"mean": 0.8641736507415771,
"maximum": 0.9984787106513977
} | {
"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_0410_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 858,469,759 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.7012217502897156,
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0
],
"end": [
1.7012217502897156,
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1
],
"radius": 0.12138932228340828
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2429,
"n_edges": 14118,
"n_faces": 22068,
"n_tetrahedra": 10378,
"nonmanifold_faces": 0
} | {
"minimum": 0.46666356921195984,
"p01": 0.6727049046754837,
"mean": 0.8639864325523376,
"maximum": 0.9994673728942871
} | {
"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_0411_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,221,980,400 | {
"family": "A",
"tunnels": [
{
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"start": [
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0
],
"end": [
0.3623223573177118,
0.22341596795572208,
1
],
"radius": 0.11566608715430057
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2451,
"n_edges": 14157,
"n_faces": 22038,
"n_tetrahedra": 10331,
"nonmanifold_faces": 0
} | {
"minimum": 0.4190574884414673,
"p01": 0.6410773456096649,
"mean": 0.8594958782196045,
"maximum": 0.9988254308700562
} | {
"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_0412_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 188,115,176 | {
"family": "A",
"tunnels": [
{
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"start": [
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],
"end": [
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],
"radius": 0.13187659636229346
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2492,
"n_edges": 14494,
"n_faces": 22658,
"n_tetrahedra": 10655,
"nonmanifold_faces": 0
} | {
"minimum": 0.5466609597206116,
"p01": 0.6732373559474945,
"mean": 0.8621933460235596,
"maximum": 0.9986302852630615
} | {
"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_0413_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 944,941,464 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.6896306620390483,
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0
],
"end": [
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1
],
"radius": 0.1236755549105662
}
],
"cavities": [
... | [
2,
1,
1
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} | {
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PA_train_0414_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,805,076,743 | {
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} | {
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PA_train_0415_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,315,924,318 | {
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{
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} | {
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} |
PA_train_0416_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 440,333,433 | {
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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_0417_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,927,940,073 | {
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{
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],
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2,
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} | {
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} |
PA_train_0418_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 929,937,193 | {
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{
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... | [
2,
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1
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0419_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,643,149,419 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0420_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,671,329,908 | {
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{
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2,
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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_0421_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,901,011,137 | {
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{
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2,
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1
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"n_vertices": 2413,
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"n_faces": 21729,
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} | {
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0422_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,900,503,849 | {
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{
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"n_vertices": 2530,
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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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} |
PA_train_0423_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 278,122,108 | {
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{
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} | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
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PA_train_0424_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 849,660,530 | {
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} | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
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PA_train_0425_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,564,961,743 | {
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{
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"n_vertices": 2573,
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"n_faces": 23395,
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} | {
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"mean": 0.8580732941627502,
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
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PA_train_0426_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,264,076,960 | {
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"cavities"... | [
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"n_vertices": 2390,
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} | {
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"geometry_feature_names": [
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PA_train_0427_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 560,494,408 | {
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PA_train_0428_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 429,436,347 | {
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} | {
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PA_train_0429_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 437,526,315 | {
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} | {
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PA_train_0430_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,507,415,526 | {
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{
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... | [
2,
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1
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} | {
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} |
PA_train_0431_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 661,332,905 | {
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{
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} | {
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PA_train_0432_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,544,815,561 | {
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} | {
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PA_train_0433_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,294,917,892 | {
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{
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} | {
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PA_train_0434_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,069,463,834 | {
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{
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} | {
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PA_train_0435_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,938,950,267 | {
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} | {
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PA_train_0436_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,348,447,789 | {
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} | {
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PA_train_0437_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 175,633,900 | {
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PA_train_0438_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 742,218,058 | {
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PA_train_0439_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,416,071,010 | {
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PA_train_0440_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,900,550,559 | {
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PA_train_0441_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 730,814,724 | {
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PA_train_0442_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 495,047,016 | {
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PA_train_0443_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,156,550,353 | {
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} | {
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PA_train_0444_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,511,909,634 | {
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PA_train_0445_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 354,267,307 | {
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PA_train_0446_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 810,861,617 | {
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PA_train_0447_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 144,614,756 | {
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} | {
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PA_train_0448_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,376,631,838 | {
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} | {
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PA_train_0449_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,057,557,335 | {
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} | {
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PA_train_0450_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,438,121,206 | {
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PA_train_0451_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 449,872,393 | {
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} | {
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PA_train_0452_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,796,975,277 | {
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PA_train_0453_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 811,409,033 | {
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} | {
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PA_train_0454_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 823,299,122 | {
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PA_train_0455_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,333,403,800 | {
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PA_train_0456_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,935,868,413 | {
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PA_train_0457_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 601,263,678 | {
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PA_train_0458_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 691,734,555 | {
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PA_train_0459_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 461,219,156 | {
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PA_train_0460_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,107,806,327 | {
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PA_train_0461_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,403,264,119 | {
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PA_train_0462_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 553,357,255 | {
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PA_train_0463_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 977,233,231 | {
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PA_train_0464_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,850,908,662 | {
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PA_train_0465_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,718,501,207 | {
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PA_train_0466_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 726,563,840 | {
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PA_train_0467_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 686,002,310 | {
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PA_train_0468_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,065,515,866 | {
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PA_train_0469_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 183,665,563 | {
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PA_train_0470_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,631,236,798 | {
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} | {
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PA_train_0471_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,305,743,261 | {
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PA_train_0472_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,153,678,049 | {
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PA_train_0473_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,895,850,064 | {
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PA_train_0474_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,255,457,251 | {
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PA_train_0475_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,679,152,635 | {
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} | {
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PA_train_0476_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,791,580,753 | {
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} | {
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PA_train_0477_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 642,534,965 | {
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PA_train_0478_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,858,949,539 | {
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PA_train_0479_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,257,693,193 | {
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PA_train_0480_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,246,617,209 | {
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PA_train_0481_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,617,353,573 | {
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PA_train_0482_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,087,778,547 | {
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PA_train_0483_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 190,713,429 | {
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PA_train_0484_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 985,410,802 | {
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PA_train_0485_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 901,447,157 | {
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PA_train_0486_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 722,644,940 | {
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PA_train_0487_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 393,465,975 | {
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PA_train_0488_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,056,966,731 | {
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PA_train_0489_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,547,626,404 | {
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PA_train_0490_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 780,423,649 | {
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PA_train_0491_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 585,576,007 | {
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PA_train_0492_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,199,542,658 | {
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PA_train_0493_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 670,994,529 | {
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PA_train_0494_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,792,715,330 | {
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"beta1": 1,
"beta2": 1,
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"n_vertices": 2412,
"n_edges": 13980,
"n_faces": 21799,
"n_tetrahedra": 10230,
"nonmanifold_faces": 0
} | {
"minimum": 0.5421496033668518,
"p01": 0.6574998062849045,
"mean": 0.8596251010894775,
"maximum": 0.9981138706207275
} | {
"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_0495_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 36,063,946 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.9054017730018235,
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0
],
"end": [
0.9054017730018235,
0.2470484126732597,
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],
"radius": 0.13429561079629468
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2588,
"n_edges": 14966,
"n_faces": 23312,
"n_tetrahedra": 10933,
"nonmanifold_faces": 0
} | {
"minimum": 0.4745616912841797,
"p01": 0.6557250452041626,
"mean": 0.8575167059898376,
"maximum": 0.9988646507263184
} | {
"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_0496_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,733,678,717 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.5760347452213879,
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0
],
"end": [
1.5760347452213879,
0.39748483984447947,
1
],
"radius": 0.1194053037114795
}
],
"cavities": [... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2425,
"n_edges": 14070,
"n_faces": 21956,
"n_tetrahedra": 10310,
"nonmanifold_faces": 0
} | {
"minimum": 0.4947047829627991,
"p01": 0.6536031734943389,
"mean": 0.8613154292106628,
"maximum": 0.9971022009849548
} | {
"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_0497_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,023,795,690 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.9779314213845163,
0.6430970081333467,
0
],
"end": [
0.9779314213845163,
0.6430970081333467,
1
],
"radius": 0.11827513080628128
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2412,
"n_edges": 13937,
"n_faces": 21705,
"n_tetrahedra": 10179,
"nonmanifold_faces": 0
} | {
"minimum": 0.5269389152526855,
"p01": 0.6582668054103852,
"mean": 0.8624491691589355,
"maximum": 0.9980946779251099
} | {
"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_0498_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 502,214,777 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.3482217105578358,
0.5875518671091833,
0
],
"end": [
0.3482217105578358,
0.5875518671091833,
1
],
"radius": 0.11017527885872144
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2352,
"n_edges": 13611,
"n_faces": 21212,
"n_tetrahedra": 9952,
"nonmanifold_faces": 0
} | {
"minimum": 0.3911861777305603,
"p01": 0.6568217277526855,
"mean": 0.8616704940795898,
"maximum": 0.9966369271278381
} | {
"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_0499_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,810,219,845 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.5376152720919563,
0.5519490310721418,
0
],
"end": [
0.5376152720919563,
0.5519490310721418,
1
],
"radius": 0.12908684640519744
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2530,
"n_edges": 14721,
"n_faces": 23026,
"n_tetrahedra": 10834,
"nonmanifold_faces": 0
} | {
"minimum": 0.47551029920578003,
"p01": 0.666861212849617,
"mean": 0.862892746925354,
"maximum": 0.9983307719230652
} | {
"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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