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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
PD_train_0700_b20 | D | mix_ood | train | false | 2 | 0 | A | 1,816,868,885 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
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0.623438093905924,
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],
"radius": 0.11732101507782985
},
{
"kind": "c... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 2,
"beta2": 0,
"beta3": 0,
"euler_characteristic": -1,
"boundary_components": 1,
"n_vertices": 2609,
"n_edges": 14996,
"n_faces": 23250,
"n_tetrahedra": 10864,
"nonmanifold_faces": 0
} | {
"minimum": 0.4021582305431366,
"p01": 0.6358935630321503,
"mean": 0.8535640835762024,
"maximum": 0.9981567859649658
} | {
"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"
} |
PD_train_0701_b10 | D | mix_ood | train | false | 1 | 0 | A | 1,535,127,368 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.0402237294350603,
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0
],
"end": [
1.0402237294350603,
0.7266781593827158,
1
],
"radius": 0.10282671187551676
}
],
"cavities": []... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 0,
"beta3": 0,
"euler_characteristic": 0,
"boundary_components": 1,
"n_vertices": 2305,
"n_edges": 13269,
"n_faces": 20648,
"n_tetrahedra": 9684,
"nonmanifold_faces": 0
} | {
"minimum": 0.5475778579711914,
"p01": 0.6615619802474976,
"mean": 0.8637845516204834,
"maximum": 0.9980837106704712
} | {
"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"
} |
PD_train_0702_b02 | D | mix_ood | train | false | 0 | 2 | A | 1,414,020,921 | {
"family": "A",
"tunnels": [],
"cavities": [
{
"kind": "sphere",
"center": [
1.0215613209465937,
0.6996973118021779,
0.4564201202197427
],
"axes": [
0.16068992731593937,
0.16068992731593937,
0.16068992731593937
],
"rotation_a... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 0,
"beta2": 2,
"beta3": 0,
"euler_characteristic": 3,
"boundary_components": 3,
"n_vertices": 2119,
"n_edges": 12321,
"n_faces": 19274,
"n_tetrahedra": 9069,
"nonmanifold_faces": 0
} | {
"minimum": 0.5503377318382263,
"p01": 0.6711855721473694,
"mean": 0.8656266331672668,
"maximum": 0.9990094304084778
} | {
"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"
} |
PD_train_0703_b21 | D | mix_ood | train | false | 2 | 1 | A | 787,541,701 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.5886960983897023,
0.7562457914924534,
0
],
"end": [
0.5886960983897023,
0.7562457914924534,
1
],
"radius": 0.1048066222712289
},
{
"kind": "... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 2,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 0,
"boundary_components": 2,
"n_vertices": 2994,
"n_edges": 17395,
"n_faces": 27129,
"n_tetrahedra": 12728,
"nonmanifold_faces": 0
} | {
"minimum": 0.46989697217941284,
"p01": 0.6588058131933212,
"mean": 0.8599918484687805,
"maximum": 0.9989005327224731
} | {
"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"
} |
PD_train_0704_b22 | D | mix_ood | train | false | 2 | 2 | A | 1,835,202,908 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.2417734616292404,
0.43235588590718077,
0
],
"end": [
0.2417734616292404,
0.43235588590718077,
1
],
"radius": 0.1291199811282717
},
{
"kind":... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 2,
"beta2": 2,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 3,
"n_vertices": 3027,
"n_edges": 17570,
"n_faces": 27353,
"n_tetrahedra": 12809,
"nonmanifold_faces": 0
} | {
"minimum": 0.42374664545059204,
"p01": 0.6393104100227356,
"mean": 0.8535308837890625,
"maximum": 0.997018039226532
} | {
"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"
} |
PD_train_0705_b11 | D | mix_ood | train | false | 1 | 1 | A | 742,657,121 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.0605468000971205,
0.4738273434686178,
0
],
"end": [
1.0605468000971205,
0.4738273434686178,
1
],
"radius": 0.10446575431165202
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2535,
"n_edges": 14740,
"n_faces": 23033,
"n_tetrahedra": 10827,
"nonmanifold_faces": 0
} | {
"minimum": 0.4946556091308594,
"p01": 0.6698596286773681,
"mean": 0.8619694113731384,
"maximum": 0.9981065392494202
} | {
"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"
} |
PD_train_0706_b00 | D | mix_ood | train | false | 0 | 0 | A | 1,678,060,533 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 0,
"beta2": 0,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 1,
"n_vertices": 1610,
"n_edges": 9058,
"n_faces": 13952,
"n_tetrahedra": 6503,
"nonmanifold_faces": 0
} | {
"minimum": 0.5418422222137451,
"p01": 0.6758164846897126,
"mean": 0.8633638620376587,
"maximum": 0.9988067150115967
} | {
"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"
} |
PD_train_0707_b12 | D | mix_ood | train | false | 1 | 2 | A | 200,080,810 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.2939792163982517,
0.6640660047423238,
0
],
"end": [
0.2939792163982517,
0.6640660047423238,
1
],
"radius": 0.10801134200190662
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 2,
"beta3": 0,
"euler_characteristic": 2,
"boundary_components": 3,
"n_vertices": 2582,
"n_edges": 15102,
"n_faces": 23664,
"n_tetrahedra": 11142,
"nonmanifold_faces": 0
} | {
"minimum": 0.5053141713142395,
"p01": 0.6475592786073685,
"mean": 0.8606021404266357,
"maximum": 0.9984747171401978
} | {
"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"
} |
PD_train_0708_b01 | D | mix_ood | train | false | 0 | 1 | A | 441,232,598 | {
"family": "A",
"tunnels": [],
"cavities": [
{
"kind": "sphere",
"center": [
1.0103251137478966,
0.6356342383156766,
0.43981906851286695
],
"axes": [
0.1309273567159941,
0.1309273567159941,
0.1309273567159941
],
"rotation_axi... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 0,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 2,
"boundary_components": 2,
"n_vertices": 1905,
"n_edges": 11016,
"n_faces": 17215,
"n_tetrahedra": 8102,
"nonmanifold_faces": 0
} | {
"minimum": 0.5673144459724426,
"p01": 0.6736465609073639,
"mean": 0.8672093152999878,
"maximum": 0.9993964433670044
} | {
"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"
} |
PD_train_0709_b20 | D | mix_ood | train | false | 2 | 0 | A | 155,559,627 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.7849674210373031,
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0
],
"end": [
0.7849674210373031,
0.39073711142734957,
1
],
"radius": 0.12021467221968396
},
{
"kind"... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 2,
"beta2": 0,
"beta3": 0,
"euler_characteristic": -1,
"boundary_components": 1,
"n_vertices": 2805,
"n_edges": 16281,
"n_faces": 25399,
"n_tetrahedra": 11924,
"nonmanifold_faces": 0
} | {
"minimum": 0.5398551821708679,
"p01": 0.6722688460350037,
"mean": 0.8612427711486816,
"maximum": 0.9978702068328857
} | {
"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"
} |
PD_train_0710_b10 | D | mix_ood | train | false | 1 | 0 | A | 778,511,018 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.0437888736846457,
0.7538975080288843,
0
],
"end": [
1.0437888736846457,
0.7538975080288843,
1
],
"radius": 0.12111582410675761
}
],
"cavities": []... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 0,
"beta3": 0,
"euler_characteristic": 0,
"boundary_components": 1,
"n_vertices": 2334,
"n_edges": 13432,
"n_faces": 20881,
"n_tetrahedra": 9783,
"nonmanifold_faces": 0
} | {
"minimum": 0.49447453022003174,
"p01": 0.6477568638324738,
"mean": 0.8600777387619019,
"maximum": 0.9993823170661926
} | {
"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"
} |
PD_train_0711_b02 | D | mix_ood | train | false | 0 | 2 | A | 1,629,930,362 | {
"family": "A",
"tunnels": [],
"cavities": [
{
"kind": "sphere",
"center": [
1.682423428248918,
0.5707439073249356,
0.644274047431387
],
"axes": [
0.14848712146308063,
0.14848712146308063,
0.14848712146308063
],
"rotation_axi... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 0,
"beta2": 2,
"beta3": 0,
"euler_characteristic": 3,
"boundary_components": 3,
"n_vertices": 2195,
"n_edges": 12885,
"n_faces": 20261,
"n_tetrahedra": 9568,
"nonmanifold_faces": 0
} | {
"minimum": 0.514657735824585,
"p01": 0.6688057190179825,
"mean": 0.863968551158905,
"maximum": 0.9976007342338562
} | {
"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"
} |
PD_train_0712_b21 | D | mix_ood | train | false | 2 | 1 | A | 1,606,211,578 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
1.7494958429262248,
0.73738225285785,
1
],
"radius": 0.12856370642268758
},
{
"kind": "cir... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 2,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 0,
"boundary_components": 2,
"n_vertices": 3148,
"n_edges": 18310,
"n_faces": 28562,
"n_tetrahedra": 13400,
"nonmanifold_faces": 0
} | {
"minimum": 0.44925984740257263,
"p01": 0.6359657698869705,
"mean": 0.8581186532974243,
"maximum": 0.9977563619613647
} | {
"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"
} |
PD_train_0713_b22 | D | mix_ood | train | false | 2 | 2 | A | 1,222,702,398 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
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0
],
"end": [
0.32805534082278,
0.7596461380513584,
1
],
"radius": 0.11772646297717809
},
{
"kind": "cir... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 2,
"beta2": 2,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 3,
"n_vertices": 2998,
"n_edges": 17367,
"n_faces": 27014,
"n_tetrahedra": 12644,
"nonmanifold_faces": 0
} | {
"minimum": 0.4778998792171478,
"p01": 0.6308009111881256,
"mean": 0.8545360565185547,
"maximum": 0.9987563490867615
} | {
"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"
} |
PD_train_0714_b11 | D | mix_ood | train | false | 1 | 1 | A | 1,927,902,214 | {
"family": "A",
"tunnels": [
{
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],
"cavities": ... | [
2,
1,
1
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"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2511,
"n_edges": 14662,
"n_faces": 22961,
"n_tetrahedra": 10809,
"nonmanifold_faces": 0
} | {
"minimum": 0.5514095425605774,
"p01": 0.6600584697723388,
"mean": 0.8618510365486145,
"maximum": 0.9990286827087402
} | {
"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"
} |
PD_train_0715_b00 | D | mix_ood | train | false | 0 | 0 | A | 994,694,884 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
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"beta2": 0,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 1,
"n_vertices": 1610,
"n_edges": 9058,
"n_faces": 13952,
"n_tetrahedra": 6503,
"nonmanifold_faces": 0
} | {
"minimum": 0.5418422222137451,
"p01": 0.6758164846897126,
"mean": 0.8633638620376587,
"maximum": 0.9988067150115967
} | {
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"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"
} |
PD_train_0716_b12 | D | mix_ood | train | false | 1 | 2 | A | 1,456,482,346 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
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],
"radius": 0.1116410442480504
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],
"cavities": [
... | [
2,
1,
1
] | {
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"beta1": 1,
"beta2": 2,
"beta3": 0,
"euler_characteristic": 2,
"boundary_components": 3,
"n_vertices": 2578,
"n_edges": 15028,
"n_faces": 23497,
"n_tetrahedra": 11045,
"nonmanifold_faces": 0
} | {
"minimum": 0.46390417218208313,
"p01": 0.6543496990203858,
"mean": 0.8606256246566772,
"maximum": 0.9984732866287231
} | {
"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"
} |
PD_train_0717_b01 | D | mix_ood | train | false | 0 | 1 | A | 584,287,091 | {
"family": "A",
"tunnels": [],
"cavities": [
{
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"center": [
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],
"axes": [
0.12597960534197816,
0.12597960534197816,
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"rotation_a... | [
2,
1,
1
] | {
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"beta1": 0,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 2,
"boundary_components": 2,
"n_vertices": 1873,
"n_edges": 10809,
"n_faces": 16867,
"n_tetrahedra": 7929,
"nonmanifold_faces": 0
} | {
"minimum": 0.5355949997901917,
"p01": 0.6731698775291443,
"mean": 0.8659940958023071,
"maximum": 0.9991685748100281
} | {
"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"
} |
PD_train_0718_b20 | D | mix_ood | train | false | 2 | 0 | A | 308,165,394 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
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],
"end": [
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],
"radius": 0.10998289156380457
},
{
"kind": ... | [
2,
1,
1
] | {
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"beta1": 2,
"beta2": 0,
"beta3": 0,
"euler_characteristic": -1,
"boundary_components": 1,
"n_vertices": 2701,
"n_edges": 15606,
"n_faces": 24277,
"n_tetrahedra": 11373,
"nonmanifold_faces": 0
} | {
"minimum": 0.5029658079147339,
"p01": 0.6466704678535461,
"mean": 0.8582111597061157,
"maximum": 0.9988959431648254
} | {
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"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"
} |
PD_train_0719_b10 | D | mix_ood | train | false | 1 | 0 | A | 978,450,878 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
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],
"end": [
0.4183918578944198,
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],
"radius": 0.11033280758225916
}
],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 0,
"beta3": 0,
"euler_characteristic": 0,
"boundary_components": 1,
"n_vertices": 2181,
"n_edges": 12512,
"n_faces": 19426,
"n_tetrahedra": 9095,
"nonmanifold_faces": 0
} | {
"minimum": 0.4573381245136261,
"p01": 0.6532649350166321,
"mean": 0.860162079334259,
"maximum": 0.9982380867004395
} | {
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"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"
} |
PD_train_0720_b02 | D | mix_ood | train | false | 0 | 2 | A | 94,219,471 | {
"family": "A",
"tunnels": [],
"cavities": [
{
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"center": [
1.5171964776652487,
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"axes": [
0.16303784579161848,
0.16303784579161848,
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"rotation_a... | [
2,
1,
1
] | {
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"beta1": 0,
"beta2": 2,
"beta3": 0,
"euler_characteristic": 3,
"boundary_components": 3,
"n_vertices": 2191,
"n_edges": 12863,
"n_faces": 20225,
"n_tetrahedra": 9550,
"nonmanifold_faces": 0
} | {
"minimum": 0.5560149550437927,
"p01": 0.6626100200414657,
"mean": 0.8650642037391663,
"maximum": 0.998275876045227
} | {
"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"
} |
PD_train_0721_b21 | D | mix_ood | train | false | 2 | 1 | A | 118,069,582 | {
"family": "A",
"tunnels": [
{
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1.3679428090707688,
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],
"end": [
1.3679428090707688,
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],
"radius": 0.13268831043079712
},
{
"kind": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 2,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 0,
"boundary_components": 2,
"n_vertices": 2942,
"n_edges": 17067,
"n_faces": 26583,
"n_tetrahedra": 12458,
"nonmanifold_faces": 0
} | {
"minimum": 0.48507067561149597,
"p01": 0.6489751183986664,
"mean": 0.8570418357849121,
"maximum": 0.9991035461425781
} | {
"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"
} |
PD_train_0722_b22 | D | mix_ood | train | false | 2 | 2 | A | 196,322,261 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
1.280245070741884,
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"end": [
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"radius": 0.10291354784392012
},
{
"kind": "c... | [
2,
1,
1
] | {
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"beta2": 2,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 3,
"n_vertices": 3066,
"n_edges": 17861,
"n_faces": 27894,
"n_tetrahedra": 13098,
"nonmanifold_faces": 0
} | {
"minimum": 0.4625697433948517,
"p01": 0.6576103115081787,
"mean": 0.8604001998901367,
"maximum": 0.9987564086914062
} | {
"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"
} |
PD_train_0723_b11 | D | mix_ood | train | false | 1 | 1 | A | 2,112,508,075 | {
"family": "A",
"tunnels": [
{
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"start": [
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"end": [
0.5992011024387807,
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"radius": 0.10602311715390904
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],
"cavities": ... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2563,
"n_edges": 15028,
"n_faces": 23599,
"n_tetrahedra": 11133,
"nonmanifold_faces": 0
} | {
"minimum": 0.5271140933036804,
"p01": 0.6659479117393494,
"mean": 0.8671534657478333,
"maximum": 0.9989293813705444
} | {
"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"
} |
PD_train_0724_b00 | D | mix_ood | train | false | 0 | 0 | A | 2,145,110,202 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 0,
"beta2": 0,
"beta3": 0,
"euler_characteristic": 1,
"boundary_components": 1,
"n_vertices": 1610,
"n_edges": 9058,
"n_faces": 13952,
"n_tetrahedra": 6503,
"nonmanifold_faces": 0
} | {
"minimum": 0.5418422222137451,
"p01": 0.6758164846897126,
"mean": 0.8633638620376587,
"maximum": 0.9988067150115967
} | {
"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"
} |
PD_train_0725_b12 | D | mix_ood | train | false | 1 | 2 | A | 1,810,748,620 | {
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"tunnels": [
{
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"radius": 0.13135238421361126
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],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
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"beta2": 2,
"beta3": 0,
"euler_characteristic": 2,
"boundary_components": 3,
"n_vertices": 2666,
"n_edges": 15592,
"n_faces": 24431,
"n_tetrahedra": 11503,
"nonmanifold_faces": 0
} | {
"minimum": 0.5463667511940002,
"p01": 0.6629746675491333,
"mean": 0.8627414107322693,
"maximum": 0.9993297457695007
} | {
"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"
} |
PD_train_0726_b01 | D | mix_ood | train | false | 0 | 1 | A | 1,050,273,805 | {
"family": "A",
"tunnels": [],
"cavities": [
{
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"axes": [
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"rotation_axis":... | [
2,
1,
1
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"beta0": 1,
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"euler_characteristic": 2,
"boundary_components": 2,
"n_vertices": 1817,
"n_edges": 10414,
"n_faces": 16189,
"n_tetrahedra": 7590,
"nonmanifold_faces": 0
} | {
"minimum": 0.5820286273956299,
"p01": 0.6675656825304032,
"mean": 0.8647741079330444,
"maximum": 0.9997807145118713
} | {
"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"
} |
PD_train_0727_b20 | D | mix_ood | train | false | 2 | 0 | A | 1,177,098,961 | {
"family": "A",
"tunnels": [
{
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"end": [
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"radius": 0.10269014592115577
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{
"kind"... | [
2,
1,
1
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"beta0": 1,
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"beta2": 0,
"beta3": 0,
"euler_characteristic": -1,
"boundary_components": 1,
"n_vertices": 2921,
"n_edges": 17028,
"n_faces": 26620,
"n_tetrahedra": 12514,
"nonmanifold_faces": 0
} | {
"minimum": 0.4746484160423279,
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"mean": 0.8595491647720337,
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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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PD_train_0728_b10 | D | mix_ood | train | false | 1 | 0 | A | 1,153,641,892 | {
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{
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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"
} |
PD_train_0729_b02 | D | mix_ood | train | false | 0 | 2 | A | 2,027,688,405 | {
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} | {
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"geometry_feature_names": [
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"y_normalized",
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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"
} |
PD_train_0730_b21 | D | mix_ood | train | false | 2 | 1 | A | 872,757,502 | {
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{
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{
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1
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} | {
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"geometry_feature_names": [
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"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0731_b22 | D | mix_ood | train | false | 2 | 2 | A | 1,619,496,642 | {
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{
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{
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1,
1
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0732_b11 | D | mix_ood | train | false | 1 | 1 | A | 1,272,651,402 | {
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{
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],
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... | [
2,
1,
1
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"n_faces": 23268,
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} | {
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"mean": 0.8588120341300964,
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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"
} |
PD_train_0733_b00 | D | mix_ood | train | false | 0 | 0 | A | 830,079,133 | {
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"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
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"n_vertices": 1610,
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} | {
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0734_b12 | D | mix_ood | train | false | 1 | 2 | A | 920,223,763 | {
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{
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],
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... | [
2,
1,
1
] | {
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"n_vertices": 2589,
"n_edges": 15148,
"n_faces": 23728,
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} | {
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"mean": 0.8593482375144958,
"maximum": 0.9979090690612793
} | {
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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... | {
"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",
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} |
PD_train_0735_b01 | D | mix_ood | train | false | 0 | 1 | A | 1,408,531,921 | {
"family": "A",
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{
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1,
1
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"n_vertices": 1933,
"n_edges": 11112,
"n_faces": 17291,
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} | {
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"mean": 0.8633384704589844,
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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": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0736_b20 | D | mix_ood | train | false | 2 | 0 | A | 352,885,754 | {
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{
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"radius": 0.13100303725307036
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{
"kind": ... | [
2,
1,
1
] | {
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"beta2": 0,
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"euler_characteristic": -1,
"boundary_components": 1,
"n_vertices": 2703,
"n_edges": 15575,
"n_faces": 24184,
"n_tetrahedra": 11313,
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} | {
"minimum": 0.5465666055679321,
"p01": 0.6544086384773254,
"mean": 0.8559708595275879,
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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",
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} |
PD_train_0737_b10 | D | mix_ood | train | false | 1 | 0 | A | 697,786,209 | {
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{
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],
"cavities": []... | [
2,
1,
1
] | {
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"boundary_components": 1,
"n_vertices": 2181,
"n_edges": 12402,
"n_faces": 19160,
"n_tetrahedra": 8939,
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} | {
"minimum": 0.5155196785926819,
"p01": 0.65681844830513,
"mean": 0.8578594326972961,
"maximum": 0.9993223547935486
} | {
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PD_train_0738_b02 | D | mix_ood | train | false | 0 | 2 | A | 1,825,599,372 | {
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{
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"n_vertices": 2184,
"n_edges": 12826,
"n_faces": 20184,
"n_tetrahedra": 9539,
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} | {
"minimum": 0.5124008655548096,
"p01": 0.6673916554450988,
"mean": 0.8663300275802612,
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} | {
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"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... | {
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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"
} |
PD_train_0739_b21 | D | mix_ood | train | false | 2 | 1 | A | 633,078,956 | {
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{
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{
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"n_vertices": 2902,
"n_edges": 16853,
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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": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PD_train_0740_b22 | D | mix_ood | train | false | 2 | 2 | A | 680,860,812 | {
"family": "A",
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{
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{
"kind": ... | [
2,
1,
1
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"n_edges": 18966,
"n_faces": 29574,
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} | {
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"mean": 0.857243001461029,
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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": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0741_b11 | D | mix_ood | train | false | 1 | 1 | A | 1,136,012,835 | {
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{
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],
"cavities": [
... | [
2,
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1
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"n_vertices": 2532,
"n_edges": 14767,
"n_faces": 23118,
"n_tetrahedra": 10882,
"nonmanifold_faces": 0
} | {
"minimum": 0.40744689106941223,
"p01": 0.6592986518144608,
"mean": 0.8636733293533325,
"maximum": 0.9995701313018799
} | {
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"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": [
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"y_normalized",
"z_normaliz... | {
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"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"
} |
PD_train_0742_b00 | D | mix_ood | train | false | 0 | 0 | A | 2,081,823,562 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
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"euler_characteristic": 1,
"boundary_components": 1,
"n_vertices": 1610,
"n_edges": 9058,
"n_faces": 13952,
"n_tetrahedra": 6503,
"nonmanifold_faces": 0
} | {
"minimum": 0.5418422222137451,
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"mean": 0.8633638620376587,
"maximum": 0.9988067150115967
} | {
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"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"
} |
PD_train_0743_b12 | D | mix_ood | train | false | 1 | 2 | A | 1,515,957,695 | {
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{
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],
"cavities": [
... | [
2,
1,
1
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"boundary_components": 3,
"n_vertices": 2706,
"n_edges": 15853,
"n_faces": 24863,
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"nonmanifold_faces": 0
} | {
"minimum": 0.4293602406978607,
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"mean": 0.8612639904022217,
"maximum": 0.9961369633674622
} | {
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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 ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0744_b01 | D | mix_ood | train | false | 0 | 1 | A | 1,649,924,997 | {
"family": "A",
"tunnels": [],
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{
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1,
1
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"n_vertices": 1843,
"n_edges": 10572,
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} | {
"minimum": 0.5520011782646179,
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"mean": 0.8602916598320007,
"maximum": 0.9981738328933716
} | {
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"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... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0745_b20 | D | mix_ood | train | false | 2 | 0 | A | 1,379,135,151 | {
"family": "A",
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{
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],
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},
{
"kind": ... | [
2,
1,
1
] | {
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"beta2": 0,
"beta3": 0,
"euler_characteristic": -1,
"boundary_components": 1,
"n_vertices": 2577,
"n_edges": 14702,
"n_faces": 22710,
"n_tetrahedra": 10586,
"nonmanifold_faces": 0
} | {
"minimum": 0.431280255317688,
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"mean": 0.8559678196907043,
"maximum": 0.99932861328125
} | {
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"orientation": "canonical ascending vertices for edges/faces; tetrahedra oriented to positive volume",
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0746_b10 | D | mix_ood | train | false | 1 | 0 | A | 1,735,285,049 | {
"family": "A",
"tunnels": [
{
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"radius": 0.12125664517189969
}
],
"cavities": []... | [
2,
1,
1
] | {
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"boundary_components": 1,
"n_vertices": 2178,
"n_edges": 12451,
"n_faces": 19293,
"n_tetrahedra": 9020,
"nonmanifold_faces": 0
} | {
"minimum": 0.5037967562675476,
"p01": 0.6593139177560806,
"mean": 0.8601325750350952,
"maximum": 0.9982481598854065
} | {
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
"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"
} |
PD_train_0747_b02 | D | mix_ood | train | false | 0 | 2 | A | 449,108,290 | {
"family": "A",
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{
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"axes": [
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1,
1
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"beta3": 0,
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"n_vertices": 2198,
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} | {
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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"
} |
PD_train_0748_b21 | D | mix_ood | train | false | 2 | 1 | A | 1,103,401,743 | {
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{
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{
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2,
1,
1
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"n_vertices": 2972,
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"n_faces": 26955,
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} | {
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"mean": 0.8570435047149658,
"maximum": 0.9993194937705994
} | {
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"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"
} |
PD_train_0749_b22 | D | mix_ood | train | false | 2 | 2 | A | 518,227,464 | {
"family": "A",
"tunnels": [
{
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],
"radius": 0.12941809878720023
},
{
"kind": ... | [
2,
1,
1
] | {
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"beta3": 0,
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"boundary_components": 3,
"n_vertices": 3024,
"n_edges": 17593,
"n_faces": 27426,
"n_tetrahedra": 12856,
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} | {
"minimum": 0.49426472187042236,
"p01": 0.6443686246871948,
"mean": 0.8559390902519226,
"maximum": 0.9995746612548828
} | {
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"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... | {
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"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"
} |
PD_train_0750_b11 | D | mix_ood | train | false | 1 | 1 | A | 565,656,836 | {
"family": "A",
"tunnels": [
{
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"radius": 0.1293192289438642
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],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
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"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2458,
"n_edges": 14237,
"n_faces": 22182,
"n_tetrahedra": 10402,
"nonmanifold_faces": 0
} | {
"minimum": 0.5248417854309082,
"p01": 0.6651403653621674,
"mean": 0.8590673208236694,
"maximum": 0.9995994567871094
} | {
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"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"
} |
PD_train_0751_b00 | D | mix_ood | train | false | 0 | 0 | A | 1,478,480,229 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
"beta0": 1,
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"euler_characteristic": 1,
"boundary_components": 1,
"n_vertices": 1610,
"n_edges": 9058,
"n_faces": 13952,
"n_tetrahedra": 6503,
"nonmanifold_faces": 0
} | {
"minimum": 0.5418422222137451,
"p01": 0.6758164846897126,
"mean": 0.8633638620376587,
"maximum": 0.9988067150115967
} | {
"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"
} |
PD_train_0752_b12 | D | mix_ood | train | false | 1 | 2 | A | 1,482,010,862 | {
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{
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],
"cavities": [
... | [
2,
1,
1
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"beta0": 1,
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"euler_characteristic": 2,
"boundary_components": 3,
"n_vertices": 2717,
"n_edges": 15856,
"n_faces": 24807,
"n_tetrahedra": 11666,
"nonmanifold_faces": 0
} | {
"minimum": 0.4464225769042969,
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"mean": 0.8603033423423767,
"maximum": 0.9980860948562622
} | {
"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"
} |
PD_train_0753_b01 | D | mix_ood | train | false | 0 | 1 | A | 1,066,280,209 | {
"family": "A",
"tunnels": [],
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{
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"axes": [
0.13219153037939624,
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2,
1,
1
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"euler_characteristic": 2,
"boundary_components": 2,
"n_vertices": 1899,
"n_edges": 10945,
"n_faces": 17070,
"n_tetrahedra": 8022,
"nonmanifold_faces": 0
} | {
"minimum": 0.5420026779174805,
"p01": 0.6724218475818634,
"mean": 0.8669934272766113,
"maximum": 0.9975121021270752
} | {
"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"
} |
PD_train_0754_b20 | D | mix_ood | train | false | 2 | 0 | A | 671,885,701 | {
"family": "A",
"tunnels": [
{
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"radius": 0.13197006999372612
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{
"kind": "c... | [
2,
1,
1
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"euler_characteristic": -1,
"boundary_components": 1,
"n_vertices": 2831,
"n_edges": 16357,
"n_faces": 25426,
"n_tetrahedra": 11901,
"nonmanifold_faces": 0
} | {
"minimum": 0.4377140700817108,
"p01": 0.6367921233177185,
"mean": 0.8562968969345093,
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} | {
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"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"
} |
PD_train_0755_b10 | D | mix_ood | train | false | 1 | 0 | A | 930,149,237 | {
"family": "A",
"tunnels": [
{
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"end": [
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"radius": 0.13021480039352964
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],
"cavities": []... | [
2,
1,
1
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"beta0": 1,
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"n_vertices": 2282,
"n_edges": 13081,
"n_faces": 20301,
"n_tetrahedra": 9502,
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} | {
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"mean": 0.8608782887458801,
"maximum": 0.997358500957489
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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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PD_train_0756_b02 | D | mix_ood | train | false | 0 | 2 | A | 2,109,892,832 | {
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"n_faces": 19747,
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} | {
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"mean": 0.8673669099807739,
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} | {
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"y_normalized",
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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"
} |
PD_train_0757_b21 | D | mix_ood | train | false | 2 | 1 | A | 1,444,363,074 | {
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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"
} |
PD_train_0758_b22 | D | mix_ood | train | false | 2 | 2 | A | 1,170,037,779 | {
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{
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{
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1
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"n_faces": 28386,
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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 ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0759_b11 | D | mix_ood | train | false | 1 | 1 | A | 1,586,633,729 | {
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{
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],
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... | [
2,
1,
1
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"n_faces": 23854,
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} | {
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"mean": 0.8676556348800659,
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0760_b00 | D | mix_ood | train | false | 0 | 0 | A | 1,086,878,894 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
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} | {
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0761_b12 | D | mix_ood | train | false | 1 | 2 | A | 901,125,246 | {
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{
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],
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... | [
2,
1,
1
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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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"vtu": "mesh.vtu",
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} |
PD_train_0762_b01 | D | mix_ood | train | false | 0 | 1 | A | 1,899,367,301 | {
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{
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0763_b20 | D | mix_ood | train | false | 2 | 0 | A | 1,004,346,084 | {
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{
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{
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2,
1,
1
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} | {
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0764_b10 | D | mix_ood | train | false | 1 | 0 | A | 693,643,610 | {
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{
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],
"cavities": []... | [
2,
1,
1
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"n_vertices": 2308,
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} | {
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"mean": 0.8617006540298462,
"maximum": 0.9983558654785156
} | {
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0765_b02 | D | mix_ood | train | false | 0 | 2 | A | 1,588,145,788 | {
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{
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"axes": [
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2,
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"n_vertices": 2095,
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} | {
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"mean": 0.8626217842102051,
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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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} |
PD_train_0766_b21 | D | mix_ood | train | false | 2 | 1 | A | 842,768,649 | {
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{
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{
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2,
1,
1
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"n_vertices": 3087,
"n_edges": 17986,
"n_faces": 28080,
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} | {
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"mean": 0.8584311008453369,
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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": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0767_b22 | D | mix_ood | train | false | 2 | 2 | A | 1,644,284,838 | {
"family": "A",
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{
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"radius": 0.11574712711079585
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{
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2,
1,
1
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"n_vertices": 2979,
"n_edges": 17383,
"n_faces": 27156,
"n_tetrahedra": 12751,
"nonmanifold_faces": 0
} | {
"minimum": 0.4940001964569092,
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"mean": 0.8577825427055359,
"maximum": 0.9995678067207336
} | {
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"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... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0768_b11 | D | mix_ood | train | false | 1 | 1 | A | 787,484,881 | {
"family": "A",
"tunnels": [
{
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],
"cavities": ... | [
2,
1,
1
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"beta0": 1,
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"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2510,
"n_edges": 14669,
"n_faces": 22984,
"n_tetrahedra": 10824,
"nonmanifold_faces": 0
} | {
"minimum": 0.4142254590988159,
"p01": 0.6592603874206543,
"mean": 0.8642144799232483,
"maximum": 0.9996519088745117
} | {
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"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... | {
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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"
} |
PD_train_0769_b00 | D | mix_ood | train | false | 0 | 0 | A | 174,243,791 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
"beta0": 1,
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"n_vertices": 1610,
"n_edges": 9058,
"n_faces": 13952,
"n_tetrahedra": 6503,
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} | {
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"mean": 0.8633638620376587,
"maximum": 0.9988067150115967
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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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PD_train_0770_b12 | D | mix_ood | train | false | 1 | 2 | A | 1,062,124,690 | {
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{
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} | {
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"y_normalized",
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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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} |
PD_train_0771_b01 | D | mix_ood | train | false | 0 | 1 | A | 1,117,162,294 | {
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{
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"n_vertices": 1889,
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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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"npz": "mesh.npz"
} |
PD_train_0772_b20 | D | mix_ood | train | false | 2 | 0 | A | 1,815,427,461 | {
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{
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1
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"n_faces": 25325,
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} | {
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"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0773_b10 | D | mix_ood | train | false | 1 | 0 | A | 613,770,421 | {
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{
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],
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... | [
2,
1,
1
] | {
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"n_faces": 20453,
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0774_b02 | D | mix_ood | train | false | 0 | 2 | A | 932,597,237 | {
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{
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1,
1
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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"
} |
PD_train_0775_b21 | D | mix_ood | train | false | 2 | 1 | A | 718,150,057 | {
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{
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{
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2,
1,
1
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0776_b22 | D | mix_ood | train | false | 2 | 2 | A | 313,650,049 | {
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{
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2,
1,
1
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"n_faces": 28437,
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} | {
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"mean": 0.8576194047927856,
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0777_b11 | D | mix_ood | train | false | 1 | 1 | A | 1,569,256,725 | {
"family": "A",
"tunnels": [
{
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],
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... | [
2,
1,
1
] | {
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"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2473,
"n_edges": 14355,
"n_faces": 22429,
"n_tetrahedra": 10546,
"nonmanifold_faces": 0
} | {
"minimum": 0.536941409111023,
"p01": 0.673409816622734,
"mean": 0.8638068437576294,
"maximum": 0.9989902973175049
} | {
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0778_b00 | D | mix_ood | train | false | 0 | 0 | A | 795,267,861 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
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"euler_characteristic": 1,
"boundary_components": 1,
"n_vertices": 1610,
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"nonmanifold_faces": 0
} | {
"minimum": 0.5418422222137451,
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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": [
"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 ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0779_b12 | D | mix_ood | train | false | 1 | 2 | A | 1,200,133,481 | {
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{
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],
"cavities": ... | [
2,
1,
1
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"boundary_components": 3,
"n_vertices": 2568,
"n_edges": 14949,
"n_faces": 23360,
"n_tetrahedra": 10977,
"nonmanifold_faces": 0
} | {
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"p01": 0.6569033813476562,
"mean": 0.8602888584136963,
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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",
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} |
PD_train_0780_b01 | D | mix_ood | train | false | 0 | 1 | A | 1,132,447,199 | {
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{
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"rotation_axis": [... | [
2,
1,
1
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"euler_characteristic": 2,
"boundary_components": 2,
"n_vertices": 2008,
"n_edges": 11634,
"n_faces": 18182,
"n_tetrahedra": 8554,
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} | {
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"p01": 0.6745754390954971,
"mean": 0.8660457134246826,
"maximum": 0.9983812570571899
} | {
"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": [
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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",
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} |
PD_train_0781_b20 | D | mix_ood | train | false | 2 | 0 | A | 611,757,720 | {
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{
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{
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2,
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1
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"boundary_components": 1,
"n_vertices": 2673,
"n_edges": 15327,
"n_faces": 23745,
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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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} |
PD_train_0782_b10 | D | mix_ood | train | false | 1 | 0 | A | 712,521,905 | {
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{
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],
"cavities": []... | [
2,
1,
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"boundary_components": 1,
"n_vertices": 2208,
"n_edges": 12668,
"n_faces": 19667,
"n_tetrahedra": 9207,
"nonmanifold_faces": 0
} | {
"minimum": 0.44774383306503296,
"p01": 0.6595388662815094,
"mean": 0.8604077696800232,
"maximum": 0.9968956112861633
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0783_b02 | D | mix_ood | train | false | 0 | 2 | A | 291,653,062 | {
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{
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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PD_train_0784_b21 | D | mix_ood | train | false | 2 | 1 | A | 1,448,710,722 | {
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"n_faces": 26427,
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} | {
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"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0785_b22 | D | mix_ood | train | false | 2 | 2 | A | 346,930,192 | {
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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"
} |
PD_train_0786_b11 | D | mix_ood | train | false | 1 | 1 | A | 1,279,634,816 | {
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{
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],
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... | [
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1,
1
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"boundary_components": 2,
"n_vertices": 2487,
"n_edges": 14495,
"n_faces": 22685,
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} | {
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"p01": 0.6534895896911621,
"mean": 0.8625162839889526,
"maximum": 0.9975940585136414
} | {
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"geometry_feature_names": [
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"y_normalized",
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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"
} |
PD_train_0787_b00 | D | mix_ood | train | false | 0 | 0 | A | 1,362,151,031 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
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"boundary_components": 1,
"n_vertices": 1610,
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} | {
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0788_b12 | D | mix_ood | train | false | 1 | 2 | A | 52,443,014 | {
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{
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],
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... | [
2,
1,
1
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"n_vertices": 2614,
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} | {
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0789_b01 | D | mix_ood | train | false | 0 | 1 | A | 770,678,781 | {
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{
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1
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"n_vertices": 1819,
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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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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0790_b20 | D | mix_ood | train | false | 2 | 0 | A | 849,163,460 | {
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{
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{
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2,
1,
1
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"n_vertices": 2863,
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"n_faces": 25922,
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} | {
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"mean": 0.8605060577392578,
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} | {
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"geometry_feature_names": [
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"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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} |
PD_train_0791_b10 | D | mix_ood | train | false | 1 | 0 | A | 2,038,757,676 | {
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{
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"radius": 0.11064215941054913
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],
"cavities": [],
... | [
2,
1,
1
] | {
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"boundary_components": 1,
"n_vertices": 2279,
"n_edges": 13107,
"n_faces": 20367,
"n_tetrahedra": 9539,
"nonmanifold_faces": 0
} | {
"minimum": 0.4371820092201233,
"p01": 0.6602526450157166,
"mean": 0.859765887260437,
"maximum": 0.9973558783531189
} | {
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
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} |
PD_train_0792_b02 | D | mix_ood | train | false | 0 | 2 | A | 1,267,124,129 | {
"family": "A",
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{
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2,
1,
1
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"beta3": 0,
"euler_characteristic": 3,
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"n_vertices": 2044,
"n_edges": 11779,
"n_faces": 18321,
"n_tetrahedra": 8583,
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} | {
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"p01": 0.6500241565704346,
"mean": 0.8587883114814758,
"maximum": 0.9979824423789978
} | {
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
"msh": "mesh.msh",
"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0793_b21 | D | mix_ood | train | false | 2 | 1 | A | 315,880,028 | {
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{
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],
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{
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2,
1,
1
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"n_vertices": 2792,
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"n_faces": 25094,
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} | {
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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": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0794_b22 | D | mix_ood | train | false | 2 | 2 | A | 378,721,919 | {
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{
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"radius": 0.10092888426140097
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{
"kind": ... | [
2,
1,
1
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"n_vertices": 2966,
"n_edges": 17315,
"n_faces": 27065,
"n_tetrahedra": 12715,
"nonmanifold_faces": 0
} | {
"minimum": 0.4690329134464264,
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"mean": 0.8575723171234131,
"maximum": 0.999531090259552
} | {
"boundary_mask": "bit flags: outer=1, tunnel=2, cavity=4; 0 means interior",
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"distance_note": "Distances are nearest-node approximations in box-length units; 2.5 means that boundary class is absent.",
"geometry_feature_names": [
"x_normalized",
"y_normalized",
"z_normaliz... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
"npz": "mesh.npz"
} |
PD_train_0795_b11 | D | mix_ood | train | false | 1 | 1 | A | 884,220,638 | {
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"tunnels": [
{
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"end": [
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],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
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"euler_characteristic": 1,
"boundary_components": 2,
"n_vertices": 2564,
"n_edges": 14974,
"n_faces": 23462,
"n_tetrahedra": 11051,
"nonmanifold_faces": 0
} | {
"minimum": 0.5287245512008667,
"p01": 0.6687811315059662,
"mean": 0.8654448986053467,
"maximum": 0.9979104399681091
} | {
"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... | {
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"chain_identity": "incidence_1 @ incidence_2 = 0 and incidence_2 @ incidence_3 = 0",
"harmonic_basis": "Euclidean combinatorial Hodge bases ... | {
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"vtu": "mesh.vtu",
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} |
PD_train_0796_b00 | D | mix_ood | train | false | 0 | 0 | A | 1,022,031,471 | {
"family": "A",
"tunnels": [],
"cavities": [],
"measured_min_clearance": 1
} | [
2,
1,
1
] | {
"beta0": 1,
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"euler_characteristic": 1,
"boundary_components": 1,
"n_vertices": 1610,
"n_edges": 9058,
"n_faces": 13952,
"n_tetrahedra": 6503,
"nonmanifold_faces": 0
} | {
"minimum": 0.5418422222137451,
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"mean": 0.8633638620376587,
"maximum": 0.9988067150115967
} | {
"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"
} |
PD_train_0797_b12 | D | mix_ood | train | false | 1 | 2 | A | 275,917,619 | {
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{
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"end": [
1.7791476934956814,
0.6069434122472754,
1
],
"radius": 0.10559517654362913
}
],
"cavities": [
... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 1,
"beta2": 2,
"beta3": 0,
"euler_characteristic": 2,
"boundary_components": 3,
"n_vertices": 2620,
"n_edges": 15262,
"n_faces": 23853,
"n_tetrahedra": 11209,
"nonmanifold_faces": 0
} | {
"minimum": 0.4190528988838196,
"p01": 0.6557842636108399,
"mean": 0.8616353869438171,
"maximum": 0.9985116720199585
} | {
"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"
} |
PD_train_0798_b01 | D | mix_ood | train | false | 0 | 1 | A | 1,936,497,960 | {
"family": "A",
"tunnels": [],
"cavities": [
{
"kind": "sphere",
"center": [
1.3649721541965003,
0.4018207899403059,
0.7750248934332137
],
"axes": [
0.12098282471306275,
0.12098282471306275,
0.12098282471306275
],
"rotation_a... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 0,
"beta2": 1,
"beta3": 0,
"euler_characteristic": 2,
"boundary_components": 2,
"n_vertices": 1869,
"n_edges": 10757,
"n_faces": 16760,
"n_tetrahedra": 7870,
"nonmanifold_faces": 0
} | {
"minimum": 0.5553781390190125,
"p01": 0.6659115010499954,
"mean": 0.8641965985298157,
"maximum": 0.9991201162338257
} | {
"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"
} |
PD_train_0799_b20 | D | mix_ood | train | false | 2 | 0 | A | 1,236,657,381 | {
"family": "A",
"tunnels": [
{
"kind": "circular_cylinder",
"start": [
0.894109748862653,
0.6662239422863505,
0
],
"end": [
0.894109748862653,
0.6662239422863505,
1
],
"radius": 0.13435983892944556
},
{
"kind": "c... | [
2,
1,
1
] | {
"beta0": 1,
"beta1": 2,
"beta2": 0,
"beta3": 0,
"euler_characteristic": -1,
"boundary_components": 1,
"n_vertices": 2694,
"n_edges": 15472,
"n_faces": 23986,
"n_tetrahedra": 11209,
"nonmanifold_faces": 0
} | {
"minimum": 0.5322350263595581,
"p01": 0.6451100540161133,
"mean": 0.8551127910614014,
"maximum": 0.998166561126709
} | {
"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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