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_0200_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,153,893,746 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.000169593634725,
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],
"end": [
1.000169593634725,
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1
],
"radius": 0.12045263790442014
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2501,
"n_edges": 14518,
"n_faces": 22671,
"n_tetrahedra": 10653,
"nonmanifold_faces": 0
} | {
"minimum": 0.562565803527832,
"p01": 0.6601038241386413,
"mean": 0.8643321394920349,
"maximum": 0.9969726800918579
} | {
"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_0201_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 628,905,182 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.23828129126814693,
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0
],
"end": [
0.23828129126814693,
0.39087484063714256,
1
],
"radius": 0.11046319805412952
}
],
"cavities"... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2484,
"n_edges": 14455,
"n_faces": 22593,
"n_tetrahedra": 10621,
"nonmanifold_faces": 0
} | {
"minimum": 0.467288613319397,
"p01": 0.6417714118957519,
"mean": 0.859549343585968,
"maximum": 0.9988201856613159
} | {
"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_0202_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,543,398,048 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.5713550590179883,
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0
],
"end": [
1.5713550590179883,
0.2350573926625599,
1
],
"radius": 0.1203779899468572
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2472,
"n_edges": 14233,
"n_faces": 22109,
"n_tetrahedra": 10347,
"nonmanifold_faces": 0
} | {
"minimum": 0.43755173683166504,
"p01": 0.6456815528869629,
"mean": 0.8573691844940186,
"maximum": 0.998699426651001
} | {
"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_0203_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,389,584,627 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.7144377152982293,
0.33301073462790876,
0
],
"end": [
1.7144377152982293,
0.33301073462790876,
1
],
"radius": 0.10651512814731555
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2484,
"n_edges": 14442,
"n_faces": 22573,
"n_tetrahedra": 10614,
"nonmanifold_faces": 0
} | {
"minimum": 0.4713975191116333,
"p01": 0.6547665977478028,
"mean": 0.8628109097480774,
"maximum": 0.9987441897392273
} | {
"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_0204_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,877,864,395 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.5832158829655595,
0.5342843517692522,
0
],
"end": [
0.5832158829655595,
0.5342843517692522,
1
],
"radius": 0.10885531201352902
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2480,
"n_edges": 14445,
"n_faces": 22598,
"n_tetrahedra": 10632,
"nonmanifold_faces": 0
} | {
"minimum": 0.4986591935157776,
"p01": 0.6698477149009705,
"mean": 0.8654323816299438,
"maximum": 0.9985713362693787
} | {
"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_0205_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,014,485,396 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.27041741173380246,
0.39154844286007956,
0
],
"end": [
0.27041741173380246,
0.39154844286007956,
1
],
"radius": 0.10045242190793381
}
],
"cavities"... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2392,
"n_edges": 13913,
"n_faces": 21751,
"n_tetrahedra": 10229,
"nonmanifold_faces": 0
} | {
"minimum": 0.34455445408821106,
"p01": 0.6527906012535095,
"mean": 0.8625629544258118,
"maximum": 0.9987586736679077
} | {
"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_0206_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,200,568,338 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.2911991694687184,
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0
],
"end": [
1.2911991694687184,
0.7725049732612126,
1
],
"radius": 0.11436349869402673
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2570,
"n_edges": 14917,
"n_faces": 23273,
"n_tetrahedra": 10925,
"nonmanifold_faces": 0
} | {
"minimum": 0.4795253276824951,
"p01": 0.64879723072052,
"mean": 0.8611143231391907,
"maximum": 0.9986015558242798
} | {
"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_0207_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,069,396 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.521230435859663,
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0
],
"end": [
1.521230435859663,
0.4684172042633459,
1
],
"radius": 0.13056589728727613
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2462,
"n_edges": 14306,
"n_faces": 22354,
"n_tetrahedra": 10509,
"nonmanifold_faces": 0
} | {
"minimum": 0.46950697898864746,
"p01": 0.6699080300331116,
"mean": 0.8631628751754761,
"maximum": 0.997920036315918
} | {
"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_0208_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 926,025,856 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.408605705713743,
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0
],
"end": [
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],
"radius": 0.12611174000604253
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2585,
"n_edges": 15112,
"n_faces": 23683,
"n_tetrahedra": 11155,
"nonmanifold_faces": 0
} | {
"minimum": 0.5167372226715088,
"p01": 0.6669264161586761,
"mean": 0.8622708916664124,
"maximum": 0.9978500008583069
} | {
"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_0209_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,432,552,401 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.4998324372009353,
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0
],
"end": [
1.4998324372009353,
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1
],
"radius": 0.10182339148719699
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2336,
"n_edges": 13471,
"n_faces": 20958,
"n_tetrahedra": 9822,
"nonmanifold_faces": 0
} | {
"minimum": 0.49643221497535706,
"p01": 0.6552622771263122,
"mean": 0.8594647645950317,
"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_0210_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 989,623,004 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.7817750100205558,
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0
],
"end": [
1.7817750100205558,
0.6606529385952273,
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],
"radius": 0.10427515525424472
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2421,
"n_edges": 13976,
"n_faces": 21749,
"n_tetrahedra": 10193,
"nonmanifold_faces": 0
} | {
"minimum": 0.4646872282028198,
"p01": 0.6433307147026062,
"mean": 0.8581042289733887,
"maximum": 0.9990761876106262
} | {
"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_0211_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 387,051,309 | {
"family": "A",
"tunnels": [
{
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"start": [
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0
],
"end": [
0.4183865045183701,
0.46309978952307884,
1
],
"radius": 0.11753487828247919
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2476,
"n_edges": 14446,
"n_faces": 22620,
"n_tetrahedra": 10649,
"nonmanifold_faces": 0
} | {
"minimum": 0.495925635099411,
"p01": 0.6616001772880554,
"mean": 0.8620766401290894,
"maximum": 0.9975108504295349
} | {
"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_0212_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 850,690,788 | {
"family": "A",
"tunnels": [
{
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"start": [
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],
"end": [
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],
"radius": 0.10516338533508648
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2536,
"n_edges": 14818,
"n_faces": 23214,
"n_tetrahedra": 10931,
"nonmanifold_faces": 0
} | {
"minimum": 0.4404163360595703,
"p01": 0.656743198633194,
"mean": 0.8626341819763184,
"maximum": 0.9991331696510315
} | {
"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_0213_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,248,563,188 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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],
"end": [
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],
"radius": 0.10040378717248326
}
],
"cavities": [
... | [
2,
1,
1
] | {
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"beta1": 1,
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} | {
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"mean": 0.8612544536590576,
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PA_train_0214_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,387,727,503 | {
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} | {
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} |
PA_train_0215_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 210,126,954 | {
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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_0216_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 721,424,277 | {
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{
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],
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... | [
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1
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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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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0217_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 660,742,797 | {
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{
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],
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... | [
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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_0218_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,399,695,297 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"npz": "mesh.npz"
} |
PA_train_0219_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 917,034,721 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0220_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,132,759,394 | {
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{
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2,
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} | {
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0221_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 185,532,098 | {
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{
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],
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2,
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"n_vertices": 2372,
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"n_faces": 21189,
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} | {
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"mean": 0.8587298393249512,
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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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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0222_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,737,094,276 | {
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{
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],
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2,
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"n_vertices": 2484,
"n_edges": 14443,
"n_faces": 22566,
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} | {
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"mean": 0.861289918422699,
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} | {
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PA_train_0223_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,770,277,611 | {
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{
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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_0224_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 182,573,528 | {
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{
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],
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"n_vertices": 2473,
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"n_faces": 22269,
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} | {
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"mean": 0.8586217164993286,
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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_0225_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,000,167,713 | {
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{
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"boundary_components": 2,
"n_vertices": 2505,
"n_edges": 14704,
"n_faces": 23101,
"n_tetrahedra": 10901,
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} | {
"minimum": 0.3790770173072815,
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"mean": 0.8636378645896912,
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} | {
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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_0226_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 718,403,568 | {
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{
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"cavities": ... | [
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"boundary_components": 2,
"n_vertices": 2498,
"n_edges": 14487,
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} | {
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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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PA_train_0227_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,061,255,488 | {
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PA_train_0228_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 743,073,727 | {
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PA_train_0229_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,397,849,151 | {
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PA_train_0230_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,453,202,725 | {
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PA_train_0231_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 183,474,814 | {
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PA_train_0232_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,744,472,750 | {
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PA_train_0233_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,773,445,736 | {
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PA_train_0234_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 252,411,684 | {
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PA_train_0235_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 210,591,485 | {
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PA_train_0236_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,369,448,025 | {
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PA_train_0237_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,143,466,487 | {
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PA_train_0238_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 659,669,443 | {
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PA_train_0239_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,967,547,388 | {
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PA_train_0240_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,048,308,462 | {
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PA_train_0241_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 81,127,705 | {
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PA_train_0242_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,419,504,263 | {
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{
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} | {
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PA_train_0243_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 419,920,325 | {
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} | {
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PA_train_0244_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,198,784,370 | {
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{
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... | [
2,
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} | {
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PA_train_0245_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,125,337,455 | {
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PA_train_0246_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,108,039,982 | {
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PA_train_0247_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,518,550,518 | {
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{
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PA_train_0248_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 691,172,785 | {
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} | {
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PA_train_0249_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,899,522,915 | {
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{
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} | {
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PA_train_0250_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,950,735,067 | {
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} | {
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PA_train_0251_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,795,286,411 | {
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} | {
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PA_train_0252_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,948,927,232 | {
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} | {
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PA_train_0253_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,964,174,576 | {
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} | {
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PA_train_0254_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,959,277,294 | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0255_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,188,989,888 | {
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{
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} | {
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PA_train_0256_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,819,792,768 | {
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{
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} | {
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} |
PA_train_0257_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 73,818,148 | {
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{
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... | [
2,
1,
1
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0258_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,473,101,590 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0259_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,287,231,756 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0260_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,165,987,932 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0261_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 231,678,954 | {
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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_0262_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 26,799,387 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0263_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 32,210,917 | {
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{
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} | {
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PA_train_0264_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,180,872,915 | {
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} | {
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PA_train_0265_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,687,316,709 | {
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} | {
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PA_train_0266_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 114,996,759 | {
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} | {
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PA_train_0267_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 467,596,085 | {
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PA_train_0268_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 111,493,420 | {
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PA_train_0269_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,044,925,610 | {
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PA_train_0270_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 185,976,860 | {
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PA_train_0271_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,064,493,050 | {
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PA_train_0272_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,421,847,513 | {
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PA_train_0273_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 155,125,083 | {
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PA_train_0274_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,282,164,917 | {
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PA_train_0275_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 736,375,713 | {
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PA_train_0276_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,475,446,458 | {
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PA_train_0277_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,083,805,099 | {
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PA_train_0278_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 458,521,218 | {
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PA_train_0279_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 903,903,406 | {
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PA_train_0280_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,464,822,731 | {
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PA_train_0281_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 701,139,991 | {
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PA_train_0282_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 761,285,990 | {
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PA_train_0283_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 788,022,609 | {
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{
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} | {
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PA_train_0284_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,714,371,162 | {
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{
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} | {
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PA_train_0285_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 350,132,306 | {
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} | {
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PA_train_0286_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 824,109,953 | {
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{
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PA_train_0287_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 549,815,025 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0288_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,045,413,726 | {
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{
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} | {
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PA_train_0289_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,304,752,323 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0290_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,570,239,251 | {
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} | {
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PA_train_0291_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,182,980,053 | {
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} | {
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PA_train_0292_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 735,594,712 | {
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} | {
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PA_train_0293_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 473,690,587 | {
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} | {
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PA_train_0294_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 986,195,616 | {
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1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2505,
"n_edges": 14640,
"n_faces": 22940,
"n_tetrahedra": 10804,
"nonmanifold_faces": 0
} | {
"minimum": 0.4253305196762085,
"p01": 0.6662240564823151,
"mean": 0.8660357594490051,
"maximum": 0.996717095375061
} | {
"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_0295_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,216,830,503 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.2692245036397155,
0.453076784515125,
0
],
"end": [
0.2692245036397155,
0.453076784515125,
1
],
"radius": 0.12582822902140403
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2564,
"n_edges": 14964,
"n_faces": 23423,
"n_tetrahedra": 11022,
"nonmanifold_faces": 0
} | {
"minimum": 0.5282157063484192,
"p01": 0.6522970312833786,
"mean": 0.8603528141975403,
"maximum": 0.9965844750404358
} | {
"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_0296_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 600,235,209 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.7126588501903361,
0.30411463880847506,
0
],
"end": [
1.7126588501903361,
0.30411463880847506,
1
],
"radius": 0.10515877789612454
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2487,
"n_edges": 14545,
"n_faces": 22793,
"n_tetrahedra": 10734,
"nonmanifold_faces": 0
} | {
"minimum": 0.4792780876159668,
"p01": 0.6465493506193161,
"mean": 0.8599329590797424,
"maximum": 0.9994553327560425
} | {
"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_0297_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,460,697,323 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.3559892556810622,
0.3037276722069877,
0
],
"end": [
0.3559892556810622,
0.3037276722069877,
1
],
"radius": 0.11676386720558375
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2507,
"n_edges": 14550,
"n_faces": 22704,
"n_tetrahedra": 10660,
"nonmanifold_faces": 0
} | {
"minimum": 0.45037785172462463,
"p01": 0.658365073800087,
"mean": 0.8599252104759216,
"maximum": 0.9984979629516602
} | {
"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_0298_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 197,383,386 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.6670128784808953,
0.33305129447376414,
0
],
"end": [
1.6670128784808953,
0.33305129447376414,
1
],
"radius": 0.11534548599875598
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2372,
"n_edges": 13715,
"n_faces": 21367,
"n_tetrahedra": 10023,
"nonmanifold_faces": 0
} | {
"minimum": 0.4309886693954468,
"p01": 0.6617073500156403,
"mean": 0.860375165939331,
"maximum": 0.9977898001670837
} | {
"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_0299_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,804,797,536 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.857533987554342,
0.612599794742883,
0
],
"end": [
0.857533987554342,
0.612599794742883,
1
],
"radius": 0.10604076284312929
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2465,
"n_edges": 14280,
"n_faces": 22262,
"n_tetrahedra": 10446,
"nonmanifold_faces": 0
} | {
"minimum": 0.5715346932411194,
"p01": 0.6572585672140121,
"mean": 0.8612992167472839,
"maximum": 0.9988069534301758
} | {
"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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