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1 value
is_ood
bool
1 class
beta1
int64
0
2
beta2
int64
0
2
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stringclasses
1 value
seed
int64
913k
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geometry
dict
box
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3
3
topology
dict
mesh_quality
dict
boundary_encoding
dict
tno_complex
dict
files
dict
PB_train_0100_b10
B
beta1_ood
train
false
1
0
A
1,536,693,112
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.7714397711947814, 0.27637878025518, 0 ], "end": [ 0.7714397711947814, 0.27637878025518, 1 ], "radius": 0.13442777366145747 } ], "cavities": [], ...
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{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2374, "n_edges": 13656, "n_faces": 21225, "n_tetrahedra": 9943, "nonmanifold_faces": 0 }
{ "minimum": 0.5845491886138916, "p01": 0.669930191040039, "mean": 0.862015426158905, "maximum": 0.9993945956230164 }
{ "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" }
PB_train_0101_b20
B
beta1_ood
train
false
2
0
A
1,855,842,601
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.6305910267927002, 0.2646446232091271, 0 ], "end": [ 1.6305910267927002, 0.2646446232091271, 1 ], "radius": 0.13367271801585118 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2701, "n_edges": 15481, "n_faces": 23959, "n_tetrahedra": 11180, "nonmanifold_faces": 0 }
{ "minimum": 0.4099157750606537, "p01": 0.6350326919555664, "mean": 0.8531128764152527, "maximum": 0.9979184865951538 }
{ "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" }
PB_train_0102_b00
B
beta1_ood
train
false
0
0
A
904,190,406
{ "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" }
PB_train_0103_b10
B
beta1_ood
train
false
1
0
A
1,388,635,063
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.9295722753282654, 0.7883396010614174, 0 ], "end": [ 0.9295722753282654, 0.7883396010614174, 1 ], "radius": 0.10327909580749309 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2316, "n_edges": 13309, "n_faces": 20674, "n_tetrahedra": 9681, "nonmanifold_faces": 0 }
{ "minimum": 0.4849216938018799, "p01": 0.6262442231178283, "mean": 0.8590127825737, "maximum": 0.9999432563781738 }
{ "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" }
PB_train_0104_b20
B
beta1_ood
train
false
2
0
A
978,086,267
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.659831799399732, 0.39094673196913804, 0 ], "end": [ 1.659831799399732, 0.39094673196913804, 1 ], "radius": 0.11542208591130579 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2716, "n_edges": 15628, "n_faces": 24253, "n_tetrahedra": 11342, "nonmanifold_faces": 0 }
{ "minimum": 0.4713483452796936, "p01": 0.6535239779949188, "mean": 0.8555454015731812, "maximum": 0.9988986849784851 }
{ "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" }
PB_train_0105_b00
B
beta1_ood
train
false
0
0
A
1,272,565,021
{ "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" }
PB_train_0106_b10
B
beta1_ood
train
false
1
0
A
1,298,764,818
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.6223849819533198, 0.3886532830383467, 0 ], "end": [ 1.6223849819533198, 0.3886532830383467, 1 ], "radius": 0.1008758570022017 } ], "cavities": [],...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2126, "n_edges": 12156, "n_faces": 18837, "n_tetrahedra": 8807, "nonmanifold_faces": 0 }
{ "minimum": 0.5328134894371033, "p01": 0.66232328414917, "mean": 0.8601173162460327, "maximum": 0.9981149435043335 }
{ "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" }
PB_train_0107_b20
B
beta1_ood
train
false
2
0
A
1,147,560,853
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.5910086064855662, 0.38956144881312704, 0 ], "end": [ 1.5910086064855662, 0.38956144881312704, 1 ], "radius": 0.10916289870398029 }, { "kind"...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2826, "n_edges": 16453, "n_faces": 25705, "n_tetrahedra": 12079, "nonmanifold_faces": 0 }
{ "minimum": 0.4617365002632141, "p01": 0.6609106981754302, "mean": 0.8609257340431213, "maximum": 0.999847412109375 }
{ "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" }
PB_train_0108_b00
B
beta1_ood
train
false
0
0
A
1,677,689,768
{ "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" }
PB_train_0109_b10
B
beta1_ood
train
false
1
0
A
1,076,073,996
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.5187810291912189, 0.6163453663195193, 0 ], "end": [ 0.5187810291912189, 0.6163453663195193, 1 ], "radius": 0.12828082277708994 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2229, "n_edges": 12784, "n_faces": 19839, "n_tetrahedra": 9284, "nonmanifold_faces": 0 }
{ "minimum": 0.5182198882102966, "p01": 0.6627000999450684, "mean": 0.8605583310127258, "maximum": 0.999457061290741 }
{ "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" }
PB_train_0110_b20
B
beta1_ood
train
false
2
0
A
1,417,023,901
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.4407848273299303, 0.4658443198663169, 0 ], "end": [ 0.4407848273299303, 0.4658443198663169, 1 ], "radius": 0.12574626262338817 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2838, "n_edges": 16445, "n_faces": 25637, "n_tetrahedra": 12031, "nonmanifold_faces": 0 }
{ "minimum": 0.4619908332824707, "p01": 0.6571340680122375, "mean": 0.8603962063789368, "maximum": 0.9992767572402954 }
{ "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" }
PB_train_0111_b00
B
beta1_ood
train
false
0
0
A
1,112,465,335
{ "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" }
PB_train_0112_b10
B
beta1_ood
train
false
1
0
A
1,634,965,119
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.6234604592753619, 0.694855828306221, 0 ], "end": [ 0.6234604592753619, 0.694855828306221, 1 ], "radius": 0.12742823639078715 } ], "cavities": [], ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2259, "n_edges": 12950, "n_faces": 20096, "n_tetrahedra": 9405, "nonmanifold_faces": 0 }
{ "minimum": 0.5591459274291992, "p01": 0.6610506916046143, "mean": 0.8599951863288879, "maximum": 0.997803807258606 }
{ "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" }
PB_train_0113_b20
B
beta1_ood
train
false
2
0
A
3,785,015
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.2216440786566682, 0.5567057969484211, 0 ], "end": [ 1.2216440786566682, 0.5567057969484211, 1 ], "radius": 0.10489871193958032 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2870, "n_edges": 16596, "n_faces": 25834, "n_tetrahedra": 12109, "nonmanifold_faces": 0 }
{ "minimum": 0.48038449883461, "p01": 0.6559395909309387, "mean": 0.8602270483970642, "maximum": 0.9993545413017273 }
{ "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" }
PB_train_0114_b00
B
beta1_ood
train
false
0
0
A
1,931,372,412
{ "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" }
PB_train_0115_b10
B
beta1_ood
train
false
1
0
A
1,640,451,925
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.5618146749653485, 0.43900015932743053, 0 ], "end": [ 1.5618146749653485, 0.43900015932743053, 1 ], "radius": 0.1348369223349398 } ], "cavities": [...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2243, "n_edges": 12809, "n_faces": 19834, "n_tetrahedra": 9268, "nonmanifold_faces": 0 }
{ "minimum": 0.4915783703327179, "p01": 0.6592005497217178, "mean": 0.8608546853065491, "maximum": 0.9994624257087708 }
{ "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" }
PB_train_0116_b20
B
beta1_ood
train
false
2
0
A
1,049,348,916
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.3980580302234973, 0.5167964052318985, 0 ], "end": [ 1.3980580302234973, 0.5167964052318985, 1 ], "radius": 0.1300474522230555 }, { "kind": "...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2655, "n_edges": 15279, "n_faces": 23712, "n_tetrahedra": 11089, "nonmanifold_faces": 0 }
{ "minimum": 0.43326258659362793, "p01": 0.6516369819641114, "mean": 0.855710506439209, "maximum": 0.998772382736206 }
{ "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" }
PB_train_0117_b00
B
beta1_ood
train
false
0
0
A
1,953,407,122
{ "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" }
PB_train_0118_b10
B
beta1_ood
train
false
1
0
A
1,668,282,590
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.2810099224498361, 0.7492308414472156, 0 ], "end": [ 0.2810099224498361, 0.7492308414472156, 1 ], "radius": 0.13173708312887772 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2218, "n_edges": 12610, "n_faces": 19474, "n_tetrahedra": 9082, "nonmanifold_faces": 0 }
{ "minimum": 0.5324996113777161, "p01": 0.6482549995183945, "mean": 0.859725296497345, "maximum": 0.9991558194160461 }
{ "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" }
PB_train_0119_b20
B
beta1_ood
train
false
2
0
A
1,729,191,937
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.5364354655046135, 0.5309613262004835, 0 ], "end": [ 1.5364354655046135, 0.5309613262004835, 1 ], "radius": 0.1300356697734167 }, { "kind": "...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2814, "n_edges": 16344, "n_faces": 25507, "n_tetrahedra": 11978, "nonmanifold_faces": 0 }
{ "minimum": 0.5313887000083923, "p01": 0.6604778540134429, "mean": 0.8609234094619751, "maximum": 0.9984554052352905 }
{ "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" }
PB_train_0120_b00
B
beta1_ood
train
false
0
0
A
1,769,861,980
{ "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" }
PB_train_0121_b10
B
beta1_ood
train
false
1
0
A
2,098,106,375
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.653508439437531, 0.732990979396829, 0 ], "end": [ 1.653508439437531, 0.732990979396829, 1 ], "radius": 0.13451932883718673 } ], "cavities": [], ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2277, "n_edges": 12994, "n_faces": 20104, "n_tetrahedra": 9387, "nonmanifold_faces": 0 }
{ "minimum": 0.4850338399410248, "p01": 0.6452691507339477, "mean": 0.8579011559486389, "maximum": 0.9996824264526367 }
{ "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" }
PB_train_0122_b20
B
beta1_ood
train
false
2
0
A
1,262,329,077
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.21736660372577465, 0.5801908387980235, 0 ], "end": [ 0.21736660372577465, 0.5801908387980235, 1 ], "radius": 0.11423400317815409 }, { "kind"...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2844, "n_edges": 16444, "n_faces": 25590, "n_tetrahedra": 11991, "nonmanifold_faces": 0 }
{ "minimum": 0.5179389715194702, "p01": 0.6490774393081665, "mean": 0.856578528881073, "maximum": 0.9984962940216064 }
{ "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" }
PB_train_0123_b00
B
beta1_ood
train
false
0
0
A
398,922,855
{ "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" }
PB_train_0124_b10
B
beta1_ood
train
false
1
0
A
1,688,114,445
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.5233062897130325, 0.7478528620967653, 0 ], "end": [ 1.5233062897130325, 0.7478528620967653, 1 ], "radius": 0.11891112472387104 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2260, "n_edges": 12929, "n_faces": 20039, "n_tetrahedra": 9370, "nonmanifold_faces": 0 }
{ "minimum": 0.5501711964607239, "p01": 0.6586235541105271, "mean": 0.860012412071228, "maximum": 0.9992094039916992 }
{ "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" }
PB_train_0125_b20
B
beta1_ood
train
false
2
0
A
1,407,736,115
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.4565335002572706, 0.23394361952623624, 0 ], "end": [ 1.4565335002572706, 0.23394361952623624, 1 ], "radius": 0.1226781774122296 }, { "kind":...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2939, "n_edges": 17073, "n_faces": 26637, "n_tetrahedra": 12504, "nonmanifold_faces": 0 }
{ "minimum": 0.3817823529243469, "p01": 0.6326180642843247, "mean": 0.8569297790527344, "maximum": 0.9988319277763367 }
{ "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" }
PB_train_0126_b00
B
beta1_ood
train
false
0
0
A
1,642,641,698
{ "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" }
PB_train_0127_b10
B
beta1_ood
train
false
1
0
A
674,534,302
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.1062329397157777, 0.3354270800667309, 0 ], "end": [ 1.1062329397157777, 0.3354270800667309, 1 ], "radius": 0.10298573685584096 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2270, "n_edges": 13104, "n_faces": 20415, "n_tetrahedra": 9581, "nonmanifold_faces": 0 }
{ "minimum": 0.41575688123703003, "p01": 0.6609187960624695, "mean": 0.8593763113021851, "maximum": 0.9987576007843018 }
{ "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" }
PB_train_0128_b20
B
beta1_ood
train
false
2
0
A
726,813,688
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.3735482398408578, 0.2571186345656324, 0 ], "end": [ 1.3735482398408578, 0.2571186345656324, 1 ], "radius": 0.12946668630230534 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2996, "n_edges": 17389, "n_faces": 27123, "n_tetrahedra": 12731, "nonmanifold_faces": 0 }
{ "minimum": 0.42095229029655457, "p01": 0.6376265227794647, "mean": 0.8600823879241943, "maximum": 0.9994450211524963 }
{ "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" }
PB_train_0129_b00
B
beta1_ood
train
false
0
0
A
600,539,681
{ "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" }
PB_train_0130_b10
B
beta1_ood
train
false
1
0
A
1,835,366,762
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.26148398895941777, 0.34365126529626056, 0 ], "end": [ 0.26148398895941777, 0.34365126529626056, 1 ], "radius": 0.12637500311010436 } ], "cavities"...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2183, "n_edges": 12418, "n_faces": 19181, "n_tetrahedra": 8946, "nonmanifold_faces": 0 }
{ "minimum": 0.40622642636299133, "p01": 0.6284911185503006, "mean": 0.8543258309364319, "maximum": 0.9985930323600769 }
{ "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" }
PB_train_0131_b20
B
beta1_ood
train
false
2
0
A
162,806,184
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.4405483878940806, 0.4157197452967629, 0 ], "end": [ 1.4405483878940806, 0.4157197452967629, 1 ], "radius": 0.12297297840133149 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2834, "n_edges": 16406, "n_faces": 25556, "n_tetrahedra": 11985, "nonmanifold_faces": 0 }
{ "minimum": 0.5303492546081543, "p01": 0.653321828842163, "mean": 0.8586319088935852, "maximum": 0.9992834329605103 }
{ "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" }
PB_train_0132_b00
B
beta1_ood
train
false
0
0
A
1,677,187,641
{ "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" }
PB_train_0133_b10
B
beta1_ood
train
false
1
0
A
440,695,628
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.43257039689519433, 0.7457360746790966, 0 ], "end": [ 0.43257039689519433, 0.7457360746790966, 1 ], "radius": 0.10399202549688218 } ], "cavities": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2173, "n_edges": 12425, "n_faces": 19249, "n_tetrahedra": 8997, "nonmanifold_faces": 0 }
{ "minimum": 0.514859139919281, "p01": 0.6509220051765442, "mean": 0.8567081093788147, "maximum": 0.9971383810043335 }
{ "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" }
PB_train_0134_b20
B
beta1_ood
train
false
2
0
A
661,109,659
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.3539084223106663, 0.5612559213592693, 0 ], "end": [ 0.3539084223106663, 0.5612559213592693, 1 ], "radius": 0.12851453141809072 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2687, "n_edges": 15499, "n_faces": 24084, "n_tetrahedra": 11273, "nonmanifold_faces": 0 }
{ "minimum": 0.487723171710968, "p01": 0.6471357440948486, "mean": 0.8545891046524048, "maximum": 0.9983999729156494 }
{ "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" }
PB_train_0135_b00
B
beta1_ood
train
false
0
0
A
62,922,419
{ "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" }
PB_train_0136_b10
B
beta1_ood
train
false
1
0
A
1,071,626,741
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.39659322707533073, 0.4127677467456501, 0 ], "end": [ 0.39659322707533073, 0.4127677467456501, 1 ], "radius": 0.10753095790253102 } ], "cavities": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2143, "n_edges": 12252, "n_faces": 18985, "n_tetrahedra": 8876, "nonmanifold_faces": 0 }
{ "minimum": 0.4782025218009949, "p01": 0.6512589007616043, "mean": 0.8584029674530029, "maximum": 0.9984716176986694 }
{ "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" }
PB_train_0137_b20
B
beta1_ood
train
false
2
0
A
1,496,443,549
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.7978300516499224, 0.7858949126802148, 0 ], "end": [ 1.7978300516499224, 0.7858949126802148, 1 ], "radius": 0.10072858219547468 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2705, "n_edges": 15479, "n_faces": 23945, "n_tetrahedra": 11172, "nonmanifold_faces": 0 }
{ "minimum": 0.419254869222641, "p01": 0.6261413317918777, "mean": 0.8517580628395081, "maximum": 0.9988431334495544 }
{ "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" }
PB_train_0138_b00
B
beta1_ood
train
false
0
0
A
1,864,630,890
{ "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" }
PB_train_0139_b10
B
beta1_ood
train
false
1
0
A
2,018,986,986
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.6477342266574804, 0.6677787139620739, 0 ], "end": [ 0.6477342266574804, 0.6677787139620739, 1 ], "radius": 0.12139470279031674 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2258, "n_edges": 12948, "n_faces": 20098, "n_tetrahedra": 9408, "nonmanifold_faces": 0 }
{ "minimum": 0.4428459703922272, "p01": 0.6646874302625656, "mean": 0.8609886169433594, "maximum": 0.9973328709602356 }
{ "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" }
PB_train_0140_b20
B
beta1_ood
train
false
2
0
A
320,793,564
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.9000496967502266, 0.705362284338853, 0 ], "end": [ 0.9000496967502266, 0.705362284338853, 1 ], "radius": 0.10799706043218155 }, { "kind": "c...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2867, "n_edges": 16690, "n_faces": 26067, "n_tetrahedra": 12245, "nonmanifold_faces": 0 }
{ "minimum": 0.3893684148788452, "p01": 0.6349831342697143, "mean": 0.8568339347839355, "maximum": 0.9987148642539978 }
{ "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" }
PB_train_0141_b00
B
beta1_ood
train
false
0
0
A
1,149,604,166
{ "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" }
PB_train_0142_b10
B
beta1_ood
train
false
1
0
A
255,205,659
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.1124267425959424, 0.49651683404427865, 0 ], "end": [ 1.1124267425959424, 0.49651683404427865, 1 ], "radius": 0.1225562578195504 } ], "cavities": [...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2262, "n_edges": 13035, "n_faces": 20284, "n_tetrahedra": 9511, "nonmanifold_faces": 0 }
{ "minimum": 0.5367113947868347, "p01": 0.6686290204524994, "mean": 0.8608499765396118, "maximum": 0.9964985847473145 }
{ "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" }
PB_train_0143_b20
B
beta1_ood
train
false
2
0
A
2,062,911,033
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.3169358536653855, 0.4896009361389714, 0 ], "end": [ 1.3169358536653855, 0.4896009361389714, 1 ], "radius": 0.11394065215221216 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2666, "n_edges": 15385, "n_faces": 23910, "n_tetrahedra": 11192, "nonmanifold_faces": 0 }
{ "minimum": 0.4367031455039978, "p01": 0.6422519129514694, "mean": 0.8564643263816833, "maximum": 0.9983376860618591 }
{ "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" }
PB_train_0144_b00
B
beta1_ood
train
false
0
0
A
757,188,032
{ "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" }
PB_train_0145_b10
B
beta1_ood
train
false
1
0
A
619,138,382
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.539032344505625, 0.5560552210662297, 0 ], "end": [ 0.539032344505625, 0.5560552210662297, 1 ], "radius": 0.12410016113341435 } ], "cavities": [], ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2259, "n_edges": 12939, "n_faces": 20070, "n_tetrahedra": 9390, "nonmanifold_faces": 0 }
{ "minimum": 0.5425097942352295, "p01": 0.6660346782207489, "mean": 0.8588482737541199, "maximum": 0.999322772026062 }
{ "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" }
PB_train_0146_b20
B
beta1_ood
train
false
2
0
A
283,031,702
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.255881223789829, 0.31980089544520773, 0 ], "end": [ 0.255881223789829, 0.31980089544520773, 1 ], "radius": 0.12618097635991216 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2683, "n_edges": 15308, "n_faces": 23640, "n_tetrahedra": 11016, "nonmanifold_faces": 0 }
{ "minimum": 0.44358402490615845, "p01": 0.634017676115036, "mean": 0.8537290692329407, "maximum": 0.9978573322296143 }
{ "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" }
PB_train_0147_b00
B
beta1_ood
train
false
0
0
A
1,963,524,882
{ "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" }
PB_train_0148_b10
B
beta1_ood
train
false
1
0
A
2,038,828,354
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.2163677698338748, 0.5774897786590257, 0 ], "end": [ 1.2163677698338748, 0.5774897786590257, 1 ], "radius": 0.12933916141770674 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2291, "n_edges": 13206, "n_faces": 20552, "n_tetrahedra": 9637, "nonmanifold_faces": 0 }
{ "minimum": 0.4651173949241638, "p01": 0.6630819034576416, "mean": 0.8616973757743835, "maximum": 0.9982479810714722 }
{ "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" }
PB_train_0149_b20
B
beta1_ood
train
false
2
0
A
1,511,651,671
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.8529423211044136, 0.7015668350856961, 0 ], "end": [ 0.8529423211044136, 0.7015668350856961, 1 ], "radius": 0.1171210850495639 }, { "kind": "...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2767, "n_edges": 15938, "n_faces": 24760, "n_tetrahedra": 11590, "nonmanifold_faces": 0 }
{ "minimum": 0.4478059709072113, "p01": 0.6481101912260055, "mean": 0.85795658826828, "maximum": 0.9983212947845459 }
{ "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" }
PB_train_0150_b00
B
beta1_ood
train
false
0
0
A
2,132,111,368
{ "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" }
PB_train_0151_b10
B
beta1_ood
train
false
1
0
A
1,024,234,912
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.4877968712390404, 0.7285289153247785, 0 ], "end": [ 1.4877968712390404, 0.7285289153247785, 1 ], "radius": 0.11251557579842644 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2223, "n_edges": 12721, "n_faces": 19721, "n_tetrahedra": 9223, "nonmanifold_faces": 0 }
{ "minimum": 0.47516146302223206, "p01": 0.6605635190010071, "mean": 0.8609258532524109, "maximum": 0.9992124438285828 }
{ "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" }
PB_train_0152_b20
B
beta1_ood
train
false
2
0
A
1,599,455,487
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.31904132330822926, 0.7045457915150297, 0 ], "end": [ 0.31904132330822926, 0.7045457915150297, 1 ], "radius": 0.10431140130513734 }, { "kind"...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2609, "n_edges": 14983, "n_faces": 23221, "n_tetrahedra": 10848, "nonmanifold_faces": 0 }
{ "minimum": 0.47954726219177246, "p01": 0.6503896307945252, "mean": 0.8525275588035583, "maximum": 0.9980942010879517 }
{ "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" }
PB_train_0153_b00
B
beta1_ood
train
false
0
0
A
981,755,239
{ "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" }
PB_train_0154_b10
B
beta1_ood
train
false
1
0
A
379,622,259
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.7230658587262542, 0.7306884895096677, 0 ], "end": [ 1.7230658587262542, 0.7306884895096677, 1 ], "radius": 0.12718414751681012 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2170, "n_edges": 12367, "n_faces": 19118, "n_tetrahedra": 8921, "nonmanifold_faces": 0 }
{ "minimum": 0.45847123861312866, "p01": 0.6506305813789368, "mean": 0.8594128489494324, "maximum": 0.9982097148895264 }
{ "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" }
PB_train_0155_b20
B
beta1_ood
train
false
2
0
A
1,390,116,898
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.8397646845350604, 0.4942918753441034, 0 ], "end": [ 0.8397646845350604, 0.4942918753441034, 1 ], "radius": 0.10442063173970052 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2685, "n_edges": 15460, "n_faces": 23999, "n_tetrahedra": 11225, "nonmanifold_faces": 0 }
{ "minimum": 0.48942720890045166, "p01": 0.6482816529273987, "mean": 0.8569512367248535, "maximum": 0.9990593194961548 }
{ "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" }
PB_train_0156_b00
B
beta1_ood
train
false
0
0
A
240,670,628
{ "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" }
PB_train_0157_b10
B
beta1_ood
train
false
1
0
A
658,024,394
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.43027416456908596, 0.47529105879779066, 0 ], "end": [ 0.43027416456908596, 0.47529105879779066, 1 ], "radius": 0.10549817736152893 } ], "cavities"...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2164, "n_edges": 12397, "n_faces": 19226, "n_tetrahedra": 8993, "nonmanifold_faces": 0 }
{ "minimum": 0.5104444622993469, "p01": 0.655037772655487, "mean": 0.8594338297843933, "maximum": 0.997111439704895 }
{ "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" }
PB_train_0158_b20
B
beta1_ood
train
false
2
0
A
970,054,567
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.374476248594704, 0.6089525473660665, 0 ], "end": [ 0.374476248594704, 0.6089525473660665, 1 ], "radius": 0.12128779107271168 }, { "kind": "c...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2868, "n_edges": 16692, "n_faces": 26080, "n_tetrahedra": 12257, "nonmanifold_faces": 0 }
{ "minimum": 0.3951271176338196, "p01": 0.6460615777969361, "mean": 0.8606096506118774, "maximum": 0.9982085227966309 }
{ "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" }
PB_train_0159_b00
B
beta1_ood
train
false
0
0
A
381,068,151
{ "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" }
PB_train_0160_b10
B
beta1_ood
train
false
1
0
A
1,195,092
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.3355792257693018, 0.42250921521450735, 0 ], "end": [ 0.3355792257693018, 0.42250921521450735, 1 ], "radius": 0.13403482397119437 } ], "cavities": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2248, "n_edges": 12850, "n_faces": 19904, "n_tetrahedra": 9302, "nonmanifold_faces": 0 }
{ "minimum": 0.5603020191192627, "p01": 0.6629637640714645, "mean": 0.858481228351593, "maximum": 0.9970084428787231 }
{ "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" }
PB_train_0161_b20
B
beta1_ood
train
false
2
0
A
1,120,150,348
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.43414556800382975, 0.768107693863924, 0 ], "end": [ 0.43414556800382975, 0.768107693863924, 1 ], "radius": 0.1166162839055866 }, { "kind": "...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2763, "n_edges": 15849, "n_faces": 24560, "n_tetrahedra": 11475, "nonmanifold_faces": 0 }
{ "minimum": 0.45872724056243896, "p01": 0.6289217042922973, "mean": 0.8561317324638367, "maximum": 0.9991751909255981 }
{ "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" }
PB_train_0162_b00
B
beta1_ood
train
false
0
0
A
619,474,897
{ "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" }
PB_train_0163_b10
B
beta1_ood
train
false
1
0
A
1,043,230,353
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.3030558953713811, 0.4788157108228737, 0 ], "end": [ 1.3030558953713811, 0.4788157108228737, 1 ], "radius": 0.10095866860857323 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2211, "n_edges": 12701, "n_faces": 19735, "n_tetrahedra": 9245, "nonmanifold_faces": 0 }
{ "minimum": 0.3711552619934082, "p01": 0.648711462020874, "mean": 0.8610652089118958, "maximum": 0.9990173578262329 }
{ "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" }
PB_train_0164_b20
B
beta1_ood
train
false
2
0
A
295,191,905
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.7221727658736548, 0.7283134662877218, 0 ], "end": [ 0.7221727658736548, 0.7283134662877218, 1 ], "radius": 0.11813979632370317 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2755, "n_edges": 15871, "n_faces": 24656, "n_tetrahedra": 11541, "nonmanifold_faces": 0 }
{ "minimum": 0.4619593024253845, "p01": 0.660865592956543, "mean": 0.8600432872772217, "maximum": 0.9963368773460388 }
{ "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" }
PB_train_0165_b00
B
beta1_ood
train
false
0
0
A
327,178,379
{ "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" }
PB_train_0166_b10
B
beta1_ood
train
false
1
0
A
1,067,206,262
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.7144377549735775, 0.3770488273661067, 0 ], "end": [ 0.7144377549735775, 0.3770488273661067, 1 ], "radius": 0.13261888594295196 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2252, "n_edges": 12887, "n_faces": 19993, "n_tetrahedra": 9358, "nonmanifold_faces": 0 }
{ "minimum": 0.49212315678596497, "p01": 0.671845708489418, "mean": 0.8617923259735107, "maximum": 0.998332142829895 }
{ "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" }
PB_train_0167_b20
B
beta1_ood
train
false
2
0
A
987,096,981
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.35668250847445915, 0.29830304190806567, 0 ], "end": [ 0.35668250847445915, 0.29830304190806567, 1 ], "radius": 0.10686601247548033 }, { "kin...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2714, "n_edges": 15655, "n_faces": 24337, "n_tetrahedra": 11397, "nonmanifold_faces": 0 }
{ "minimum": 0.4737483263015747, "p01": 0.648778555393219, "mean": 0.8570465445518494, "maximum": 0.9985212683677673 }
{ "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" }
PB_train_0168_b00
B
beta1_ood
train
false
0
0
A
1,192,317,241
{ "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" }
PB_train_0169_b10
B
beta1_ood
train
false
1
0
A
1,593,226,275
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.8488766871108322, 0.5729102503364565, 0 ], "end": [ 0.8488766871108322, 0.5729102503364565, 1 ], "radius": 0.10932654167052085 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2300, "n_edges": 13310, "n_faces": 20752, "n_tetrahedra": 9742, "nonmanifold_faces": 0 }
{ "minimum": 0.5548697710037231, "p01": 0.6708034974336624, "mean": 0.8620169758796692, "maximum": 0.9991376996040344 }
{ "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" }
PB_train_0170_b20
B
beta1_ood
train
false
2
0
A
522,323,795
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.2972724446742637, 0.7140469589963844, 0 ], "end": [ 0.2972724446742637, 0.7140469589963844, 1 ], "radius": 0.12108597670924962 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2711, "n_edges": 15597, "n_faces": 24218, "n_tetrahedra": 11333, "nonmanifold_faces": 0 }
{ "minimum": 0.4313182830810547, "p01": 0.649292814731598, "mean": 0.8593730926513672, "maximum": 0.9986817240715027 }
{ "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" }
PB_train_0171_b00
B
beta1_ood
train
false
0
0
A
1,951,206,774
{ "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" }
PB_train_0172_b10
B
beta1_ood
train
false
1
0
A
648,079,062
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.467783315278889, 0.7326521873081233, 0 ], "end": [ 1.467783315278889, 0.7326521873081233, 1 ], "radius": 0.10481532564709954 } ], "cavities": [], ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2207, "n_edges": 12644, "n_faces": 19614, "n_tetrahedra": 9177, "nonmanifold_faces": 0 }
{ "minimum": 0.47718289494514465, "p01": 0.6622648239135742, "mean": 0.8612126708030701, "maximum": 0.999277651309967 }
{ "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" }
PB_train_0173_b20
B
beta1_ood
train
false
2
0
A
249,529,779
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.1626158075121584, 0.253094057221052, 0 ], "end": [ 1.1626158075121584, 0.253094057221052, 1 ], "radius": 0.11710188886000505 }, { "kind": "c...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2733, "n_edges": 15695, "n_faces": 24334, "n_tetrahedra": 11373, "nonmanifold_faces": 0 }
{ "minimum": 0.40026065707206726, "p01": 0.6439608335494995, "mean": 0.8558774590492249, "maximum": 0.9994431138038635 }
{ "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" }
PB_train_0174_b00
B
beta1_ood
train
false
0
0
A
227,272,507
{ "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" }
PB_train_0175_b10
B
beta1_ood
train
false
1
0
A
593,669,321
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.119715485368567, 0.57374320366869, 0 ], "end": [ 1.119715485368567, 0.57374320366869, 1 ], "radius": 0.11664762708716989 } ], "cavities": [], "m...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2292, "n_edges": 13202, "n_faces": 20543, "n_tetrahedra": 9633, "nonmanifold_faces": 0 }
{ "minimum": 0.5214617848396301, "p01": 0.6629179763793945, "mean": 0.8614025115966797, "maximum": 0.9991217851638794 }
{ "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" }
PB_train_0176_b20
B
beta1_ood
train
false
2
0
A
2,040,389,048
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.7134789498009937, 0.6320270998521809, 0 ], "end": [ 1.7134789498009937, 0.6320270998521809, 1 ], "radius": 0.10736190202600855 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2663, "n_edges": 15322, "n_faces": 23769, "n_tetrahedra": 11111, "nonmanifold_faces": 0 }
{ "minimum": 0.4374500513076782, "p01": 0.6359348297119141, "mean": 0.8542366027832031, "maximum": 0.9977862238883972 }
{ "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" }
PB_train_0177_b00
B
beta1_ood
train
false
0
0
A
512,944,041
{ "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" }
PB_train_0178_b10
B
beta1_ood
train
false
1
0
A
1,013,861,322
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.5654914567643625, 0.491794398970426, 0 ], "end": [ 1.5654914567643625, 0.491794398970426, 1 ], "radius": 0.10473683936460136 } ], "cavities": [], ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2196, "n_edges": 12599, "n_faces": 19569, "n_tetrahedra": 9166, "nonmanifold_faces": 0 }
{ "minimum": 0.4806508421897888, "p01": 0.6642403185367585, "mean": 0.8632036447525024, "maximum": 0.9986109137535095 }
{ "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" }
PB_train_0179_b20
B
beta1_ood
train
false
2
0
A
374,988,204
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.9079121508054405, 0.3115520630647973, 0 ], "end": [ 0.9079121508054405, 0.3115520630647973, 1 ], "radius": 0.1148463297795472 }, { "kind": "...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2874, "n_edges": 16738, "n_faces": 26153, "n_tetrahedra": 12290, "nonmanifold_faces": 0 }
{ "minimum": 0.4638301134109497, "p01": 0.6601386427879333, "mean": 0.8596193194389343, "maximum": 0.9983944296836853 }
{ "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" }
PB_train_0180_b00
B
beta1_ood
train
false
0
0
A
1,292,142,792
{ "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" }
PB_train_0181_b10
B
beta1_ood
train
false
1
0
A
1,053,170,866
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.4909629250153128, 0.6496991379461021, 0 ], "end": [ 0.4909629250153128, 0.6496991379461021, 1 ], "radius": 0.11061005835727938 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2207, "n_edges": 12682, "n_faces": 19700, "n_tetrahedra": 9225, "nonmanifold_faces": 0 }
{ "minimum": 0.5369957089424133, "p01": 0.6707700562477111, "mean": 0.8590982556343079, "maximum": 0.9982237815856934 }
{ "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" }
PB_train_0182_b20
B
beta1_ood
train
false
2
0
A
752,090,336
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.2082660238214822, 0.48982380966143724, 0 ], "end": [ 1.2082660238214822, 0.48982380966143724, 1 ], "radius": 0.10897104564747367 }, { "kind"...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2792, "n_edges": 16254, "n_faces": 25388, "n_tetrahedra": 11927, "nonmanifold_faces": 0 }
{ "minimum": 0.5462455153465271, "p01": 0.6504786944389344, "mean": 0.8590479493141174, "maximum": 0.9985541701316833 }
{ "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" }
PB_train_0183_b00
B
beta1_ood
train
false
0
0
A
676,081,219
{ "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" }
PB_train_0184_b10
B
beta1_ood
train
false
1
0
A
744,069,587
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.9431956381624195, 0.25505388557184183, 0 ], "end": [ 0.9431956381624195, 0.25505388557184183, 1 ], "radius": 0.119837909832873 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2348, "n_edges": 13506, "n_faces": 20994, "n_tetrahedra": 9836, "nonmanifold_faces": 0 }
{ "minimum": 0.4858931601047516, "p01": 0.6445673316717148, "mean": 0.8582144379615784, "maximum": 0.9981910586357117 }
{ "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" }
PB_train_0185_b20
B
beta1_ood
train
false
2
0
A
1,250,248,498
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.7748121761813567, 0.4520844184899758, 0 ], "end": [ 0.7748121761813567, 0.4520844184899758, 1 ], "radius": 0.12566762536567325 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2662, "n_edges": 15207, "n_faces": 23504, "n_tetrahedra": 10960, "nonmanifold_faces": 0 }
{ "minimum": 0.521454393863678, "p01": 0.650317884683609, "mean": 0.8525392413139343, "maximum": 0.9983814358711243 }
{ "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" }
PB_train_0186_b00
B
beta1_ood
train
false
0
0
A
2,135,523,066
{ "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" }
PB_train_0187_b10
B
beta1_ood
train
false
1
0
A
1,890,950,798
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.337596158286041, 0.35884474999156535, 0 ], "end": [ 1.337596158286041, 0.35884474999156535, 1 ], "radius": 0.11299632868470416 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2248, "n_edges": 12929, "n_faces": 20098, "n_tetrahedra": 9417, "nonmanifold_faces": 0 }
{ "minimum": 0.4595152735710144, "p01": 0.6601287722587585, "mean": 0.8611940145492554, "maximum": 0.9984153509140015 }
{ "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" }
PB_train_0188_b20
B
beta1_ood
train
false
2
0
A
332,531,717
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.4115669544683683, 0.733582798127524, 0 ], "end": [ 0.4115669544683683, 0.733582798127524, 1 ], "radius": 0.11112660487693485 }, { "kind": "c...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2565, "n_edges": 14752, "n_faces": 22877, "n_tetrahedra": 10691, "nonmanifold_faces": 0 }
{ "minimum": 0.45132920145988464, "p01": 0.6419311940670014, "mean": 0.8573072552680969, "maximum": 0.9986729621887207 }
{ "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" }
PB_train_0189_b00
B
beta1_ood
train
false
0
0
A
502,787,993
{ "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" }
PB_train_0190_b10
B
beta1_ood
train
false
1
0
A
974,358,235
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.4734326770257946, 0.5902342025544595, 0 ], "end": [ 1.4734326770257946, 0.5902342025544595, 1 ], "radius": 0.1024786800030372 } ], "cavities": [],...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2199, "n_edges": 12645, "n_faces": 19646, "n_tetrahedra": 9200, "nonmanifold_faces": 0 }
{ "minimum": 0.4631352424621582, "p01": 0.6470923787355423, "mean": 0.858440637588501, "maximum": 0.9992280602455139 }
{ "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" }
PB_train_0191_b20
B
beta1_ood
train
false
2
0
A
1,398,351,576
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.4880300130602645, 0.23895815245786656, 0 ], "end": [ 0.4880300130602645, 0.23895815245786656, 1 ], "radius": 0.10299761946905503 }, { "kind"...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2893, "n_edges": 16774, "n_faces": 26126, "n_tetrahedra": 12246, "nonmanifold_faces": 0 }
{ "minimum": 0.387440025806427, "p01": 0.6319607704877853, "mean": 0.8563617467880249, "maximum": 0.9980169534683228 }
{ "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" }
PB_train_0192_b00
B
beta1_ood
train
false
0
0
A
146,053,622
{ "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" }
PB_train_0193_b10
B
beta1_ood
train
false
1
0
A
1,465,944,535
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.1322872185619732, 0.7441183553488667, 0 ], "end": [ 1.1322872185619732, 0.7441183553488667, 1 ], "radius": 0.12352084981294585 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2366, "n_edges": 13589, "n_faces": 21108, "n_tetrahedra": 9885, "nonmanifold_faces": 0 }
{ "minimum": 0.4509600102901459, "p01": 0.6381005477905274, "mean": 0.8581682443618774, "maximum": 0.997594952583313 }
{ "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" }
PB_train_0194_b20
B
beta1_ood
train
false
2
0
A
7,760,248
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.9463144301370003, 0.4769118234395664, 0 ], "end": [ 0.9463144301370003, 0.4769118234395664, 1 ], "radius": 0.1173880825523241 }, { "kind": "...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2736, "n_edges": 15833, "n_faces": 24645, "n_tetrahedra": 11549, "nonmanifold_faces": 0 }
{ "minimum": 0.4948776364326477, "p01": 0.660412437915802, "mean": 0.8578687906265259, "maximum": 0.9987701177597046 }
{ "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" }
PB_train_0195_b00
B
beta1_ood
train
false
0
0
A
1,610,635,995
{ "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" }
PB_train_0196_b10
B
beta1_ood
train
false
1
0
A
494,379,367
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.5330890314058778, 0.2884215250831237, 0 ], "end": [ 0.5330890314058778, 0.2884215250831237, 1 ], "radius": 0.12475620097418232 } ], "cavities": []...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2248, "n_edges": 12869, "n_faces": 19947, "n_tetrahedra": 9326, "nonmanifold_faces": 0 }
{ "minimum": 0.4889148771762848, "p01": 0.6652321070432663, "mean": 0.8601858615875244, "maximum": 0.9988253712654114 }
{ "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" }
PB_train_0197_b20
B
beta1_ood
train
false
2
0
A
1,997,451,982
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 1.6735013108841077, 0.5795901697682055, 0 ], "end": [ 1.6735013108841077, 0.5795901697682055, 1 ], "radius": 0.11842366548483214 }, { "kind": ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 2, "beta2": 0, "beta3": 0, "euler_characteristic": -1, "boundary_components": 1, "n_vertices": 2793, "n_edges": 16156, "n_faces": 25152, "n_tetrahedra": 11790, "nonmanifold_faces": 0 }
{ "minimum": 0.44191405177116394, "p01": 0.6562940794229507, "mean": 0.857022225856781, "maximum": 0.9979551434516907 }
{ "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" }
PB_train_0198_b00
B
beta1_ood
train
false
0
0
A
320,348,811
{ "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" }
PB_train_0199_b10
B
beta1_ood
train
false
1
0
A
238,706,205
{ "family": "A", "tunnels": [ { "kind": "circular_cylinder", "start": [ 0.8063022131598298, 0.443644268738911, 0 ], "end": [ 0.8063022131598298, 0.443644268738911, 1 ], "radius": 0.1322295714676822 } ], "cavities": [], ...
[ 2, 1, 1 ]
{ "beta0": 1, "beta1": 1, "beta2": 0, "beta3": 0, "euler_characteristic": 0, "boundary_components": 1, "n_vertices": 2270, "n_edges": 13020, "n_faces": 20225, "n_tetrahedra": 9475, "nonmanifold_faces": 0 }
{ "minimum": 0.5488764643669128, "p01": 0.676482516527176, "mean": 0.8651412129402161, "maximum": 0.9993463158607483 }
{ "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" }