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_0700_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 553,500,765 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.988698545825214,
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"end": [
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],
"radius": 0.11416271644253699
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2558,
"n_edges": 14917,
"n_faces": 23347,
"n_tetrahedra": 10987,
"nonmanifold_faces": 0
} | {
"minimum": 0.5319512486457825,
"p01": 0.6563078486919403,
"mean": 0.8617172837257385,
"maximum": 0.9991195797920227
} | {
"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_0701_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 103,047,053 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.6981982962436764,
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0
],
"end": [
1.6981982962436764,
0.20944260282802904,
1
],
"radius": 0.10359637084046766
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2426,
"n_edges": 14017,
"n_faces": 21827,
"n_tetrahedra": 10235,
"nonmanifold_faces": 0
} | {
"minimum": 0.4202359914779663,
"p01": 0.6316116988658905,
"mean": 0.8568276166915894,
"maximum": 0.9995952248573303
} | {
"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_0702_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,335,225,737 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
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1
],
"radius": 0.12121024945168529
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2553,
"n_edges": 14883,
"n_faces": 23283,
"n_tetrahedra": 10952,
"nonmanifold_faces": 0
} | {
"minimum": 0.4895797669887543,
"p01": 0.649064034819603,
"mean": 0.8597025871276855,
"maximum": 0.998135507106781
} | {
"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_0703_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,297,800,436 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.5169751617400802,
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0
],
"end": [
1.5169751617400802,
0.22144242234789463,
1
],
"radius": 0.10105698265824631
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2301,
"n_edges": 13218,
"n_faces": 20513,
"n_tetrahedra": 9595,
"nonmanifold_faces": 0
} | {
"minimum": 0.43578219413757324,
"p01": 0.6329040718078613,
"mean": 0.8567695617675781,
"maximum": 0.9988324642181396
} | {
"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_0704_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,036,371,668 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.1044562764075754,
0.7624554184563482,
0
],
"end": [
1.1044562764075754,
0.7624554184563482,
1
],
"radius": 0.1180692149238472
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2541,
"n_edges": 14719,
"n_faces": 22947,
"n_tetrahedra": 10768,
"nonmanifold_faces": 0
} | {
"minimum": 0.4624616503715515,
"p01": 0.6287941193580627,
"mean": 0.859973132610321,
"maximum": 0.9990734457969666
} | {
"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_0705_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,396,687,309 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.3093461382490308,
0.3428874438533434,
0
],
"end": [
0.3093461382490308,
0.3428874438533434,
1
],
"radius": 0.12202681791741536
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2416,
"n_edges": 14027,
"n_faces": 21905,
"n_tetrahedra": 10293,
"nonmanifold_faces": 0
} | {
"minimum": 0.446656197309494,
"p01": 0.640777747631073,
"mean": 0.8584681749343872,
"maximum": 0.999172031879425
} | {
"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_0706_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 831,844,828 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.7127895891446094,
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0
],
"end": [
0.7127895891446094,
0.27868210588644227,
1
],
"radius": 0.1158430336855052
}
],
"cavities": [... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2566,
"n_edges": 14962,
"n_faces": 23419,
"n_tetrahedra": 11022,
"nonmanifold_faces": 0
} | {
"minimum": 0.49104446172714233,
"p01": 0.6541578543186187,
"mean": 0.864204466342926,
"maximum": 0.9988418221473694
} | {
"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_0707_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,857,045,996 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.477684955490809,
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0
],
"end": [
1.477684955490809,
0.6642092423114871,
1
],
"radius": 0.11248886946628942
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2385,
"n_edges": 13800,
"n_faces": 21502,
"n_tetrahedra": 10086,
"nonmanifold_faces": 0
} | {
"minimum": 0.5270203351974487,
"p01": 0.6621164828538895,
"mean": 0.8615624308586121,
"maximum": 0.9979379773139954
} | {
"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_0708_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 489,905,086 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.5204283829882097,
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0
],
"end": [
1.5204283829882097,
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1
],
"radius": 0.12689174044351098
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2491,
"n_edges": 14499,
"n_faces": 22678,
"n_tetrahedra": 10669,
"nonmanifold_faces": 0
} | {
"minimum": 0.5202662348747253,
"p01": 0.6596538877487182,
"mean": 0.8621543049812317,
"maximum": 0.9986573457717896
} | {
"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_0709_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,463,319,147 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.4075997576361143,
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0
],
"end": [
1.4075997576361143,
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1
],
"radius": 0.12831577113907416
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2487,
"n_edges": 14449,
"n_faces": 22581,
"n_tetrahedra": 10618,
"nonmanifold_faces": 0
} | {
"minimum": 0.5013764500617981,
"p01": 0.6634584647417069,
"mean": 0.8629109859466553,
"maximum": 0.9995369911193848
} | {
"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_0710_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,048,143,792 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.2745063925324752,
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0
],
"end": [
0.2745063925324752,
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],
"radius": 0.1349079445536014
}
],
"cavities": [... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2566,
"n_edges": 14859,
"n_faces": 23159,
"n_tetrahedra": 10865,
"nonmanifold_faces": 0
} | {
"minimum": 0.5263117551803589,
"p01": 0.652962806224823,
"mean": 0.8591325879096985,
"maximum": 0.998586893081665
} | {
"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_0711_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 141,855,394 | {
"family": "A",
"tunnels": [
{
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"start": [
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],
"end": [
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1
],
"radius": 0.11293467353592784
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2546,
"n_edges": 14832,
"n_faces": 23190,
"n_tetrahedra": 10903,
"nonmanifold_faces": 0
} | {
"minimum": 0.4554867446422577,
"p01": 0.6580012488365173,
"mean": 0.8634285926818848,
"maximum": 0.9979482889175415
} | {
"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_0712_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,365,837,592 | {
"family": "A",
"tunnels": [
{
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"start": [
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],
"end": [
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],
"radius": 0.11766064326011677
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],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2540,
"n_edges": 14805,
"n_faces": 23171,
"n_tetrahedra": 10905,
"nonmanifold_faces": 0
} | {
"minimum": 0.5360365509986877,
"p01": 0.661033284664154,
"mean": 0.8619721531867981,
"maximum": 0.9983745217323303
} | {
"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_0713_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,764,732,984 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
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1
],
"radius": 0.10799984334931442
}
],
"cavities": [
... | [
2,
1,
1
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PA_train_0714_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 537,433,101 | {
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PA_train_0715_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,440,616,722 | {
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{
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} | {
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PA_train_0716_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 890,625,646 | {
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{
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} | {
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} |
PA_train_0717_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,323,513,392 | {
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{
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... | [
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} | {
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PA_train_0718_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 287,104,904 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0719_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,729,196,076 | {
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{
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2,
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} | {
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PA_train_0720_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,655,474,082 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0721_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,861,235,809 | {
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{
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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_0722_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 896,858,750 | {
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{
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2,
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} | {
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"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0723_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,831,088,791 | {
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{
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} | {
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PA_train_0724_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,095,133,714 | {
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"n_vertices": 2543,
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} | {
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"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
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PA_train_0725_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 554,075,487 | {
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"n_vertices": 2509,
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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_0726_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,675,579,577 | {
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"n_vertices": 2422,
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} | {
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"geometry_feature_names": [
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PA_train_0727_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 241,434,789 | {
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PA_train_0728_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 846,470,942 | {
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PA_train_0729_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 220,102,999 | {
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} | {
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PA_train_0730_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 210,829,923 | {
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{
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} | {
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PA_train_0731_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 800,179,141 | {
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PA_train_0732_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,530,087,525 | {
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PA_train_0733_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,484,519,285 | {
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} | {
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PA_train_0734_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,950,101,538 | {
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} | {
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PA_train_0735_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,026,470,759 | {
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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_0736_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 613,547,197 | {
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PA_train_0737_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 266,442,706 | {
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PA_train_0738_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,849,872,490 | {
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PA_train_0739_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,105,626,366 | {
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PA_train_0740_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,262,807,638 | {
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PA_train_0741_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,372,146,667 | {
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PA_train_0742_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,128,937,791 | {
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PA_train_0743_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,825,867,144 | {
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PA_train_0744_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,938,192,777 | {
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PA_train_0745_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,007,048,949 | {
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PA_train_0746_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 863,447,638 | {
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PA_train_0747_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 924,465,003 | {
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PA_train_0748_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 246,166,488 | {
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PA_train_0749_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 995,673,934 | {
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PA_train_0750_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,025,245,730 | {
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PA_train_0751_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 683,497,335 | {
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PA_train_0752_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,141,984,919 | {
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PA_train_0753_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 318,698,187 | {
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PA_train_0754_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 434,840,653 | {
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PA_train_0755_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,325,916,788 | {
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PA_train_0756_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,747,885,144 | {
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PA_train_0757_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,503,538,842 | {
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} | {
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PA_train_0758_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,077,116,264 | {
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PA_train_0759_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 813,481,847 | {
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PA_train_0760_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 42,154,387 | {
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PA_train_0761_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 456,874,789 | {
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PA_train_0762_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,890,082,306 | {
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} | {
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PA_train_0763_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,367,435,697 | {
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PA_train_0764_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,227,466,882 | {
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PA_train_0765_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,396,387,641 | {
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PA_train_0766_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 155,489,497 | {
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PA_train_0767_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,488,862,853 | {
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PA_train_0768_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,800,404,517 | {
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} | {
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PA_train_0769_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,103,880,725 | {
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} | {
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PA_train_0770_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,319,626,780 | {
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} | {
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} |
PA_train_0771_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,387,321,607 | {
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{
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} | {
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PA_train_0772_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 28,279,403 | {
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} | {
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} |
PA_train_0773_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,411,209,318 | {
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{
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} | {
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PA_train_0774_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,852,491,751 | {
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{
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} | {
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PA_train_0775_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 17,499,410 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0776_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 660,562,351 | {
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{
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} | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PA_train_0777_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 336,168,835 | {
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} | {
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PA_train_0778_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 415,797,168 | {
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} | {
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PA_train_0779_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,743,292,344 | {
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} | {
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PA_train_0780_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 983,318,793 | {
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} | {
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PA_train_0781_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,976,617,349 | {
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PA_train_0782_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,466,841,892 | {
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PA_train_0783_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 6,356,555 | {
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PA_train_0784_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 900,214,248 | {
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PA_train_0785_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,215,739,392 | {
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PA_train_0786_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,144,158,876 | {
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PA_train_0787_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 724,285,148 | {
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PA_train_0788_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,039,248,684 | {
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PA_train_0789_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 67,762,858 | {
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PA_train_0790_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,601,819,607 | {
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PA_train_0791_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 833,456,663 | {
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PA_train_0792_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,069,112,373 | {
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PA_train_0793_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,891,350,093 | {
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PA_train_0794_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,337,090,667 | {
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"beta1": 1,
"beta2": 1,
"beta3": 0,
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"boundary_components": 2,
"n_vertices": 2554,
"n_edges": 14923,
"n_faces": 23390,
"n_tetrahedra": 11020,
"nonmanifold_faces": 0
} | {
"minimum": 0.5275320410728455,
"p01": 0.6746355730295182,
"mean": 0.8650747537612915,
"maximum": 0.999334454536438
} | {
"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_0795_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 650,955,609 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
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0.4250913222592625,
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0
],
"end": [
0.4250913222592625,
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],
"radius": 0.10431466078077602
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],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2478,
"n_edges": 14455,
"n_faces": 22631,
"n_tetrahedra": 10653,
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} | {
"minimum": 0.5468372702598572,
"p01": 0.652779803276062,
"mean": 0.8616079092025757,
"maximum": 0.9984511733055115
} | {
"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_0796_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 633,312,042 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.9499440369185943,
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0
],
"end": [
0.9499440369185943,
0.7464657757324986,
1
],
"radius": 0.10995636513786447
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2505,
"n_edges": 14582,
"n_faces": 22798,
"n_tetrahedra": 10720,
"nonmanifold_faces": 0
} | {
"minimum": 0.4932187497615814,
"p01": 0.6601282262802124,
"mean": 0.8634086847305298,
"maximum": 0.9997895359992981
} | {
"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_0797_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 2,131,196,423 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.9673814236577907,
0.2077940578511884,
0
],
"end": [
0.9673814236577907,
0.2077940578511884,
1
],
"radius": 0.10152447784463729
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2572,
"n_edges": 15018,
"n_faces": 23518,
"n_tetrahedra": 11071,
"nonmanifold_faces": 0
} | {
"minimum": 0.48119261860847473,
"p01": 0.6593228161334992,
"mean": 0.8628209829330444,
"maximum": 0.9987735748291016
} | {
"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_0798_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,312,922,180 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.1919808699264542,
0.6174868141956708,
0
],
"end": [
1.1919808699264542,
0.6174868141956708,
1
],
"radius": 0.12730855919038966
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2504,
"n_edges": 14560,
"n_faces": 22766,
"n_tetrahedra": 10709,
"nonmanifold_faces": 0
} | {
"minimum": 0.500236451625824,
"p01": 0.6698692584037781,
"mean": 0.8653082251548767,
"maximum": 0.9982050657272339
} | {
"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_0799_b11 | A | fixed_topology_geometry_ood | train | false | 1 | 1 | A | 1,372,622,130 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.5536567619316988,
0.2666499609946123,
0
],
"end": [
1.5536567619316988,
0.2666499609946123,
1
],
"radius": 0.11489439508156855
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2525,
"n_edges": 14736,
"n_faces": 23072,
"n_tetrahedra": 10860,
"nonmanifold_faces": 0
} | {
"minimum": 0.43641331791877747,
"p01": 0.6561149621009826,
"mean": 0.861030101776123,
"maximum": 0.9987910985946655
} | {
"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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