Dataset Viewer
Auto-converted to Parquet Duplicate
case_id
stringlengths
8
15
split
stringclasses
1 value
depth
float64
0.02
0.03
radius
float64
0.01
0.02
waist
float64
0.04
0.38
bow
float64
0.01
0.03
physical_load_N
float64
1k
10k
mass_kg
float64
1.07
1.53
seat_deflection_mm_at_10kN
float64
0.03
0.16
training_prefix_index
int64
0
127
mesh_volume_relative_error
float64
0
0.01
lhs64_38
train
0.021823
0.015871
0.260251
0.017256
1,000
1.211562
0.068577
0
0.003434
expand_09
train
0.015151
0.021777
0.095307
0.013791
10,000
1.281669
0.049736
1
0.007603
lhs64_27
train
0.023295
0.012201
0.104311
0.005224
1,000
1.21977
0.057513
2
0.008791
expand_06
train
0.031424
0.020319
0.254589
0.014571
10,000
1.477032
0.036328
3
0.008359
lhs64_10
train
0.024371
0.01932
0.081598
0.024122
1,000
1.416587
0.048658
4
0.008847
expand_11
train
0.028942
0.010141
0.269295
0.010903
10,000
1.163315
0.080939
5
0.004819
expand_14
train
0.016873
0.014169
0.374447
0.02833
10,000
1.085862
0.142929
6
0.011967
expand_15
train
0.030913
0.015167
0.204351
0.024441
10,000
1.338262
0.061929
7
0.006653
lhs64_17
train
0.022319
0.019452
0.182847
0.006141
1,000
1.340909
0.041687
8
0.004929
expand_01
train
0.016192
0.016194
0.23916
0.006908
10,000
1.16053
0.067362
9
0.008967
lhs64_09
train
0.018193
0.012092
0.161141
0.015771
1,000
1.133539
0.097611
10
0.01142
lhs64_34
train
0.025584
0.012446
0.117235
0.023167
1,000
1.23534
0.082061
11
0.007214
expand_08
train
0.029492
0.01258
0.359085
0.018713
10,000
1.193381
0.085677
12
0.008587
lhs64_15
train
0.025335
0.014944
0.315917
0.009603
1,000
1.225441
0.059146
13
0.007546
lhs64_22
train
0.019313
0.017327
0.093303
0.018821
1,000
1.27226
0.058767
14
0.006469
expand_10
train
0.018738
0.018502
0.314567
0.02906
10,000
1.187575
0.088523
15
0.008455
lhs64_21
train
0.02698
0.013056
0.185554
0.014497
1,000
1.256272
0.064522
16
0.011356
lhs64_40
train
0.020228
0.013541
0.224083
0.02465
1,000
1.155123
0.101568
17
0.007555
lhs64_39
train
0.025057
0.01832
0.133384
0.01291
1,000
1.388605
0.042083
18
0.008038
lhs64_37
train
0.02073
0.013356
0.217533
0.005421
1,000
1.173744
0.064483
19
0.007707
lhs64_13
train
0.027188
0.019792
0.240301
0.008652
1,000
1.407979
0.038146
20
0.010303
lhs64_11
train
0.018953
0.016649
0.353149
0.015537
1,000
1.160217
0.077499
21
0.007552
lhs64_32
train
0.026018
0.018015
0.303386
0.015983
1,000
1.306194
0.052453
22
0.010738
lhs64_20
train
0.025439
0.015239
0.166663
0.006408
1,000
1.297349
0.046984
23
0.00446
expand_00
train
0.02162
0.022624
0.112682
0.026169
10,000
1.413371
0.047818
24
0.004392
expand_07
train
0.026051
0.018752
0.181728
0.025062
10,000
1.366958
0.053802
25
0.002849
lhs64_44
train
0.022514
0.012665
0.316464
0.014998
1,000
1.148984
0.090443
26
0.012472
lhs64_16
train
0.018108
0.015938
0.322086
0.022787
1,000
1.143353
0.095066
27
0.0084
lhs64_14
train
0.020158
0.019234
0.251495
0.020734
1,000
1.259876
0.061563
28
0.009844
lhs64_24
train
0.027859
0.016524
0.210024
0.017566
1,000
1.337141
0.051493
29
0.005509
expand_05
train
0.022784
0.015675
0.141564
0.021389
10,000
1.270124
0.065168
30
0.007423
expand_04
train
0.027392
0.013178
0.231311
0.02748
10,000
1.228954
0.091092
31
0.011282
lhs64_19
train
0.023757
0.016068
0.234364
0.023119
1,000
1.251972
0.070225
32
0.008455
lhs64_43
train
0.022759
0.014689
0.213675
0.01094
1,000
1.228676
0.060708
33
0.008861
expand_12
train
0.025442
0.017574
0.102803
0.005904
10,000
1.396803
0.038684
34
0.008052
lhs64_06
train
0.023389
0.014233
0.092167
0.01033
1,000
1.275458
0.053979
35
0.008239
expand_03
train
0.02823
0.010754
0.286276
0.017029
10,000
1.164263
0.096521
36
0.006407
lhs64_04
train
0.022071
0.019877
0.111362
0.010229
1,000
1.388321
0.040232
37
0.0109
lhs64_08
train
0.021106
0.015084
0.350269
0.020144
1,000
1.163119
0.08878
38
0.012805
lhs64_47
train
0.018622
0.013416
0.141992
0.02043
1,000
1.163305
0.090951
39
0.008033
lhs64_36
train
0.024457
0.012974
0.20174
0.018337
1,000
1.203459
0.078541
40
0.003223
lhs64_02
train
0.019147
0.017537
0.157722
0.016776
1,000
1.255467
0.059513
41
0.011044
lhs64_42
train
0.026232
0.019528
0.126519
0.021296
1,000
1.436252
0.044332
42
0.00847
lhs64_33
train
0.025756
0.013911
0.192718
0.02475
1,000
1.245264
0.079276
43
0.009877
lhs64_28
train
0.021623
0.01557
0.356178
0.013904
1,000
1.175501
0.073687
44
0.008077
lhs64_41
train
0.023954
0.013172
0.176745
0.007541
1,000
1.221989
0.058479
45
0.006198
lhs64_29
train
0.022559
0.012835
0.299595
0.010754
1,000
1.155735
0.077235
46
0.008365
lhs64_31
train
0.021493
0.018587
0.204465
0.019247
1,000
1.291086
0.056207
47
0.008865
lhs64_35
train
0.02731
0.01231
0.295243
0.019745
1,000
1.185547
0.08931
48
0.0057
lhs64_26
train
0.019443
0.015398
0.287884
0.016533
1,000
1.162946
0.079171
49
0.004004
lhs64_23
train
0.026695
0.017862
0.276013
0.012492
1,000
1.32448
0.047217
50
0.005917
expand_13
train
0.021245
0.014801
0.220232
0.021682
10,000
1.197909
0.080813
51
0.008124
lhs64_05
train
0.026863
0.014763
0.27159
0.00894
1,000
1.260871
0.053827
52
0.008797
lhs64_03
train
0.020814
0.013706
0.266449
0.00679
1,000
1.169584
0.067431
53
0.011115
lhs64_25
train
0.024222
0.016206
0.326397
0.011921
1,000
1.227626
0.059586
54
0.00393
lhs64_07
train
0.023893
0.014491
0.107814
0.006999
1,000
1.2846
0.049682
55
0.007687
lhs64_00
train
0.021132
0.016798
0.343951
0.017039
1,000
1.191589
0.071824
56
0.006768
lhs64_12
train
0.024574
0.017879
0.098461
0.015111
1,000
1.389739
0.044147
57
0.011839
lhs64_18
train
0.023477
0.013805
0.140664
0.009273
1,000
1.253266
0.056785
58
0.013023
lhs64_01
train
0.025903
0.018187
0.147538
0.023537
1,000
1.370999
0.052193
59
0.002576
expand_02
train
0.02444
0.017632
0.130737
0.007709
10,000
1.368991
0.041474
60
0.010777
lhs64_45
train
0.018829
0.017076
0.340108
0.021617
1,000
1.165611
0.084103
61
0.008171
lhs64_46
train
0.020515
0.015633
0.25844
0.019447
1,000
1.193019
0.076435
62
0.007562
lhs64_30
train
0.026441
0.017244
0.282732
0.013267
1,000
1.300933
0.050643
63
0.005341
fresh_train_000
train
0.022352
0.014192
0.272467
0.013266
10,000
1.193548
0.071687
64
0.012001
fresh_train_001
train
0.021278
0.013437
0.100865
0.013822
10,000
1.220007
0.067808
65
0.009122
fresh_train_002
train
0.026084
0.014477
0.31634
0.009524
10,000
1.22642
0.059669
66
0.00965
fresh_train_003
train
0.022919
0.021025
0.355539
0.028854
10,000
1.273149
0.068302
67
0.008321
fresh_train_004
train
0.027026
0.015999
0.123083
0.020173
10,000
1.355602
0.053238
68
0.008175
fresh_train_005
train
0.030622
0.010764
0.087771
0.022764
10,000
1.251334
0.084517
69
0.000969
fresh_train_006
train
0.024095
0.022182
0.230135
0.029704
10,000
1.391459
0.055019
70
0.01341
fresh_train_007
train
0.027967
0.013605
0.191406
0.022123
10,000
1.262247
0.071447
71
0.00319
fresh_train_008
train
0.018828
0.021223
0.185934
0.005087
10,000
1.316057
0.043411
72
0.008686
fresh_train_009
train
0.024408
0.013912
0.305186
0.019808
10,000
1.192395
0.083247
73
0.010852
fresh_train_010
train
0.015919
0.015093
0.331038
0.014483
10,000
1.104517
0.094683
74
0.004411
fresh_train_011
train
0.025869
0.010544
0.078516
0.023415
10,000
1.193808
0.100237
75
0.002379
fresh_train_012
train
0.018542
0.021552
0.136244
0.02463
10,000
1.31964
0.055774
76
0.007928
fresh_train_013
train
0.024987
0.011608
0.07052
0.018275
10,000
1.224131
0.078797
77
0.004437
fresh_train_014
train
0.025247
0.010219
0.245242
0.018841
10,000
1.133264
0.114178
78
0.004391
fresh_train_015
train
0.031573
0.017271
0.259232
0.017747
10,000
1.381641
0.04676
79
0.004416
fresh_train_016
train
0.022442
0.014876
0.366138
0.016159
10,000
1.15758
0.080629
80
0.000275
fresh_train_017
train
0.031929
0.018752
0.143865
0.00855
10,000
1.529583
0.032337
81
0.011322
fresh_train_018
train
0.01745
0.016624
0.311657
0.012048
10,000
1.154446
0.073402
82
0.005129
fresh_train_019
train
0.017065
0.013829
0.050738
0.00623
10,000
1.185475
0.06291
83
0.007731
fresh_train_020
train
0.016542
0.019594
0.110813
0.012565
10,000
1.26421
0.052194
84
0.006328
fresh_train_021
train
0.02552
0.020037
0.378535
0.006615
10,000
1.305418
0.044866
85
0.007678
fresh_train_022
train
0.027668
0.014409
0.3358
0.024141
10,000
1.21731
0.082958
86
0.007642
fresh_train_023
train
0.020783
0.018032
0.043208
0.02599
10,000
1.328028
0.060017
87
0.006612
fresh_train_024
train
0.028647
0.020216
0.203209
0.022975
10,000
1.448281
0.04457
88
0.008462
fresh_train_025
train
0.019006
0.018704
0.323911
0.008378
10,000
1.205388
0.057798
89
0.003185
fresh_train_026
train
0.023343
0.013233
0.149763
0.014094
10,000
1.227075
0.067937
90
0.010727
fresh_train_027
train
0.031236
0.020676
0.225085
0.02867
10,000
1.47183
0.047823
91
0.002039
fresh_train_028
train
0.024809
0.015422
0.298982
0.012951
10,000
1.234607
0.061389
92
0.008573
fresh_train_029
train
0.023779
0.01929
0.076609
0.010513
10,000
1.423242
0.038126
93
0.007907
fresh_train_030
train
0.031125
0.021937
0.33951
0.029531
10,000
1.428925
0.051808
94
0.009811
fresh_train_031
train
0.015162
0.011294
0.231307
0.011792
10,000
1.072732
0.116634
95
0.013265
fresh_train_032
train
0.018305
0.018388
0.180724
0.025453
10,000
1.234359
0.072355
96
0.008089
fresh_train_033
train
0.017765
0.020953
0.178049
0.021567
10,000
1.273012
0.057703
97
0.003672
fresh_train_034
train
0.030358
0.021604
0.293921
0.015198
10,000
1.465597
0.036901
98
0.010071
fresh_train_035
train
0.026192
0.011792
0.090686
0.010187
10,000
1.251757
0.060311
99
0.010926
End of preview. Expand in Data Studio

From finite elements to physical AI

AgentFEM structural family

176 three-dimensional FEM geometries. Real CAD, meshes and displacement fields. An open, reproducible starting point for geometry-conditioned physical learning.

Interactive lab · Trained model · AgentFEM · AgentFEM-Learning

What is inside

A symmetric double-arm support bracket under a uniform downward top-seat load, with fixed foot undersides. Four parameters vary the arm half-width, half-thickness, waist and bow. Material: linear isotropic elasticity, E = 70 GPa, nu = 0.33, density = 2700 kg/m³. Height: 189 mm.

128 training / 16 validation / 32 fresh test geometries. Nested training prefixes: 32, 64, 128. The first 64 training cases reuse the existing campaign; 64 new training cases, 4 new validation cases and 32 fresh test cases were computed for this release.

Files Contents
train.csv, validation.csv, test.csv Parameters, loads, mass, top-seat displacement, nested prefix order
fields-*.zip fem/<id>/fields.npz and summary.json
geometry-*.zip Optional STEP solids and Gmsh tetrahedral meshes
protocol.json Frozen split, sampling seeds, bounds and training settings
reproduce.zip Geometry generation, AgentFEM campaign, training and evaluation code
evaluation.json, learning_curve.csv Per-case errors and all three training seeds

fields.npz: points (N,3) in metres; displacement (N,3) in metres; stress (N,) sampled von Mises stress in Pa; triangles (F,3) surface connectivity indexing points. Raw fields retain their physical load, either 1000 or 10000 N, recorded in each summary.json. Multiply displacement/stress by target_load_N / physical_load_N for this linear-elastic problem. Learning uses a 1000 N reference; the gallery and CSV deflection use 10000 N. Load scaling is not a new independent geometry sample.

Start with NumPy

from huggingface_hub import hf_hub_download
import io, zipfile, numpy as np
archive = hf_hub_download("HaomingLuo/AgentFEM-Bracket-Elasticity", "fields-test-00.zip", repo_type="dataset")
with zipfile.ZipFile(archive) as z:
    sample = next(n for n in z.namelist() if n.endswith("fields.npz"))
    d = np.load(io.BytesIO(z.read(sample)), allow_pickle=False)
    points, displacement = d["points"], d["displacement"]

Learning curves

Learning curves

Training geometries GINO field error GINO + correction Coordinate MLP
32 30.74% 7.99% 6.44%
64 30.05% 5.49% 4.05%
128 24.86% 3.27% 2.85%

Values are mean test surface-node displacement relative L2, averaged over three training seeds. The same 32 fresh test geometries are used in every row; checkpoints are selected on validation only. Full per-case, scalar-deflection and baseline results are included. Whiskers show seed range, not confidence bounds. The inherited 64-case pool mixes inner-domain and wider-domain samples; this is a practical nested expansion, not an iid scaling-law experiment.

Reproduce or extend

Extract reproduce.zip, then extract the field archives into bracket_lab/study_128/. Install a FEniCSx environment (tested: DOLFINx 0.11.0, Gmsh 4.15.2, Python 3.11), AgentFEM and AgentFEM-Learning; tested source revisions are listed in environment.json. Run run_study.py prepare, run_study.py gino, run_study.py correction, then evaluate_study.py. Missing FEM fields are regenerated from the protocol; existing fields are reused. The example inference in the model repository does not require FEniCSx.

Numerical scope

AgentFEM solves 3D quadratic displacement elements; exported displacement is sampled at linear mesh nodes. Reported learning metrics use all surface nodes, not a volume/energy norm. Top-seat deflection is a nodal mean. Every case is checked for finite fields, fixed-face zero displacement, parameter/load consistency and disconnected IDs. The nominal mesh size is 9 mm; this V1 is not a mesh-converged industrial qualification dataset. Sharp junction stress values are provided as raw FEM outputs, not validated strength labels. No bolt contact, plasticity, fracture or experimental measurements are represented.

Attribution

Data and geometry: CC BY 4.0, Haoming Luo (2026). Code: Apache-2.0. Please cite this repository, its exact revision, AgentFEM, and the relevant model method. GINO: Li et al., NeurIPS 2023. This release is a computational benchmark, not a claim of a new GINO architecture.

Downloads last month
176

Models trained or fine-tuned on HaomingLuo/AgentFEM-Bracket-Elasticity

Paper for HaomingLuo/AgentFEM-Bracket-Elasticity