Dataset Viewer (First 5GB)
metrics.id
string | metrics.json
string | metrics.aspect_ratio
float64 | metrics.aspect_ratio_over_edge_rotational_transform
float64 | metrics.average_triangularity
float64 | metrics.axis_magnetic_mirror_ratio
float64 | metrics.axis_rotational_transform_over_n_field_periods
float64 | metrics.edge_magnetic_mirror_ratio
float64 | metrics.edge_rotational_transform_over_n_field_periods
float64 | metrics.flux_compression_in_regions_of_bad_curvature
float64 | metrics.max_elongation
float64 | metrics.minimum_normalized_magnetic_gradient_scale_length
float64 | metrics.qi
float64 | metrics.vacuum_well
float64 | boundary.json
string | boundary.is_stellarator_symmetric
bool | boundary.n_field_periods
int64 | boundary.r_cos
sequence | boundary.r_sin
null | boundary.z_cos
null | boundary.z_sin
sequence | omnigenous_field_and_targets.id
string | omnigenous_field_and_targets.json
string | omnigenous_field_and_targets.aspect_ratio
float64 | omnigenous_field_and_targets.major_radius
float64 | omnigenous_field_and_targets.max_elongation
float64 | omnigenous_field_and_targets.omnigenous_field.modB_spline_knot_coefficients
sequence | omnigenous_field_and_targets.omnigenous_field.n_field_periods
int64 | omnigenous_field_and_targets.omnigenous_field.poloidal_winding
int64 | omnigenous_field_and_targets.omnigenous_field.torodial_winding
int64 | omnigenous_field_and_targets.omnigenous_field.x_lmn
sequence | omnigenous_field_and_targets.rotational_transform
float64 | desc_omnigenous_field_optimization_settings.id
string | desc_omnigenous_field_optimization_settings.json
string | desc_omnigenous_field_optimization_settings.equilibrium_settings.check_orientation
bool | desc_omnigenous_field_optimization_settings.equilibrium_settings.max_poloidal_mode
int64 | desc_omnigenous_field_optimization_settings.equilibrium_settings.max_toroidal_mode
int64 | desc_omnigenous_field_optimization_settings.equilibrium_settings.psi
float64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.aspect_ratio
float64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.elongation
float64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.is_iota_positive
bool | desc_omnigenous_field_optimization_settings.initial_guess_settings.is_stellarator_symmetric
bool | desc_omnigenous_field_optimization_settings.initial_guess_settings.major_radius
float64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.max_elongation
float64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.max_poloidal_mode
int64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.max_toroidal_mode
int64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.mirror_ratio
float64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.n_field_periods
int64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.rotational_transform
float64 | desc_omnigenous_field_optimization_settings.initial_guess_settings.torsion
float64 | desc_omnigenous_field_optimization_settings.objective_settings.aspect_ratio_settings.name
string | desc_omnigenous_field_optimization_settings.objective_settings.aspect_ratio_settings.target_kind
string | desc_omnigenous_field_optimization_settings.objective_settings.aspect_ratio_settings.weight
float64 | desc_omnigenous_field_optimization_settings.objective_settings.elongation_settings.name
string | desc_omnigenous_field_optimization_settings.objective_settings.elongation_settings.target_kind
string | desc_omnigenous_field_optimization_settings.objective_settings.elongation_settings.weight
float64 | desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.eq_lcfs_grid_M_factor
int64 | desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.eq_lcfs_grid_N_factor
int64 | desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.eq_lcfs_grid_rho
float64 | desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.eta_weight
float64 | desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.name
string | desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.weight
float64 | desc_omnigenous_field_optimization_settings.objective_settings.rotational_transform_settings.name
string | desc_omnigenous_field_optimization_settings.objective_settings.rotational_transform_settings.target_kind
string | desc_omnigenous_field_optimization_settings.objective_settings.rotational_transform_settings.weight
float64 | desc_omnigenous_field_optimization_settings.optimizer_settings.maxiter
int64 | desc_omnigenous_field_optimization_settings.optimizer_settings.name
string | desc_omnigenous_field_optimization_settings.optimizer_settings.verbose
int64 | vmec_omnigenous_field_optimization_settings.id
string | vmec_omnigenous_field_optimization_settings.json
string | vmec_omnigenous_field_optimization_settings.gradient_based_relative_objectives_tolerance
float64 | vmec_omnigenous_field_optimization_settings.gradient_free_budget_per_design_variable
int64 | vmec_omnigenous_field_optimization_settings.gradient_free_max_time
int64 | vmec_omnigenous_field_optimization_settings.gradient_free_optimization_hypercube_bounds
float64 | vmec_omnigenous_field_optimization_settings.infinity_norm_spectrum_scaling
float64 | vmec_omnigenous_field_optimization_settings.max_poloidal_mode
int64 | vmec_omnigenous_field_optimization_settings.max_toroidal_mode
int64 | vmec_omnigenous_field_optimization_settings.n_inner_optimizations
int64 | vmec_omnigenous_field_optimization_settings.use_continuation_method_in_fourier_space
bool | vmec_omnigenous_field_optimization_settings.verbose
bool | qp_init_omnigenous_field_optimization_settings.id
string | qp_init_omnigenous_field_optimization_settings.json
string | qp_init_omnigenous_field_optimization_settings.aspect_ratio
float64 | qp_init_omnigenous_field_optimization_settings.elongation
float64 | qp_init_omnigenous_field_optimization_settings.is_iota_positive
bool | qp_init_omnigenous_field_optimization_settings.is_stellarator_symmetric
bool | qp_init_omnigenous_field_optimization_settings.major_radius
float64 | qp_init_omnigenous_field_optimization_settings.mirror_ratio
float64 | qp_init_omnigenous_field_optimization_settings.n_field_periods
int64 | qp_init_omnigenous_field_optimization_settings.torsion
float64 | nae_init_omnigenous_field_optimization_settings.id
string | nae_init_omnigenous_field_optimization_settings.json
string | nae_init_omnigenous_field_optimization_settings.aspect_ratio
float64 | nae_init_omnigenous_field_optimization_settings.max_elongation
float64 | nae_init_omnigenous_field_optimization_settings.max_poloidal_mode
int64 | nae_init_omnigenous_field_optimization_settings.max_toroidal_mode
int64 | nae_init_omnigenous_field_optimization_settings.mirror_ratio
float64 | nae_init_omnigenous_field_optimization_settings.n_field_periods
int64 | nae_init_omnigenous_field_optimization_settings.rotational_transform
float64 | misc.vmecpp_wout_id
string | misc.has_optimize_boundary_omnigenity_vmec_error
bool | misc.has_optimize_boundary_omnigenity_desc_error
bool | misc.has_generate_qp_initialization_from_targets_error
bool | misc.has_generate_nae_initialization_from_targets_error
bool | misc.has_neurips_2025_forward_model_error
bool | plasma_config_id
string |
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DfpsEPzxXHTUgveVPNFVxyw | {"qi": 0.01009405406091255, "vacuum_well": -0.021611020313946096, "aspect_ratio": 7.795513400650317, "max_elongation": 7.994727744935367, "average_triangularity": 0.6554358723727324, "axis_magnetic_mirror_ratio": 0.2098238665089877, "edge_magnetic_mirror_ratio": 0.3517834835349602, "aspect_ratio_over_edge_rotational_transform": 4.762236037178946, "flux_compression_in_regions_of_bad_curvature": 2.0642189328396086, "axis_rotational_transform_over_n_field_periods": 0.3285320154327465, "edge_rotational_transform_over_n_field_periods": 0.32738878710716846, "minimum_normalized_magnetic_gradient_scale_length": 5.033264945800085} | 7.795513 | 4.762236 | 0.702808 | 0.209824 | 0.328532 | 0.351783 | 0.327389 | 2.064219 | 7.994728 | 5.033265 | 0.010094 | -0.021611 | {"r_cos":[[0.0,0.0,0.0,0.0,0.9994871156625027,0.0007679559754304358,-0.016604757641924782,0.0005577962628848872,2.714019646363977e-6],[0.0009075131407330647,-0.0036262418836543837,-0.025384599426505432,-0.07735636324742266,0.21362558678411941,-0.043046016019591335,0.007048834323017162,-0.0019436948500207022,-0.00014148275563164348],[0.0011192065280635987,0.006254891767271132,0.02522045685902937,0.022215791217253165,-0.01701182445531431,-0.001974151333782386,0.003024509446066352,-0.0008555471856472392,0.00019454938203990917],[-0.0010991916653943744,-0.003039040301184736,-0.0019016939480509573,-0.005215512599246175,-0.005704765698896747,0.002057530261836551,-0.00011494284308065004,0.00016793350200585149,-0.000045783151867308204],[0.00023317011787441175,-0.00020279878452658318,0.00040295872689938923,0.00007219852925969411,0.00013698037512634154,-0.00007044833932633165,0.0002951630791869788,-0.00009083773917949355,-6.269330636492161e-6]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.19625533274993348,0.01967467138665914,-0.0022323306491359145,0.0006194477761604159],[-0.0005152441044054715,-0.003820823310981155,-0.034611121021085066,-0.07369732841278012,-0.09472501941864532,0.014400888467469761,-0.004853791685726409,0.0011153369071083407,0.00018119010548950506],[0.0008886214014461183,0.0047645323429742455,0.014033616946715167,-0.01399242101991795,0.01416016244184376,0.0003731189366999862,-0.000792154403539201,-0.00024587194317167004,-0.00004474544143696804],[-0.001112074747146044,-0.00516785585947803,-0.0036563093466202515,0.013665700032176271,0.0012210784695865114,-0.0007206911512159719,-0.0006125018352762122,0.00022508669579762546,-0.0000564124076801604],[0.00015477309027723228,0.0006214526343603964,0.00030922386325661915,0.00003241896207535307,0.00024620452957893634,-0.0006805964281727681,0.00019614708533511878,-0.00005138403786701673,0.00003986290719673516]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true} | true | 5 | [
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] | DizF8SUgW9v6ov9U4zFX8MA | {"aspect_ratio": 6.75561906142382, "major_radius": 1.0, "max_elongation": 5.249204534090255, "omnigenous_field": {"x_lmn": [[[0.0, 0.0, 0.0, 0.0, 0.0], [0.028290225341817996, -0.20909138007059194, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0]]], "n_field_periods": 5, "poloidal_winding": 0, "torodial_winding": 5, "modB_spline_knot_coefficients": [[0.7326013210221733, 0.7326515784149583, 0.7330858736960136, 0.7343676114764688, 0.736922431317623, 0.7410940101201081, 0.7471291390479781, 0.7551757949310273, 0.7652882212338376, 0.7774359885584131, 0.7915152533529681, 0.8073610744401903, 0.8247600196286082, 0.8434625311496456, 0.86319467871553, 0.8836690427207391, 0.9045945539826955, 0.9256851800580017, 0.9466673975080546, 0.9672864283423329, 0.9873112497942435, 1.0065384113481448, 1.0247947127905306, 1.0419388129152838, 1.0578618510497528, 1.072487173297571, 1.0857692627092974, 1.097691977799528, 1.1082662071701814, 1.1175270496653837, 1.1255306296260899, 1.1323506555537872, 1.1380748279288389, 1.1428011981359112, 1.1466345754844274, 1.149683073218185, 1.1520548772127728, 1.1538553127756417, 1.1551842755906583, 1.1561340823700015, 1.1567877851566777, 1.1572179804039437, 1.157486129858406, 1.1576423947675742, 1.15772596784068, 1.15776586844952, 1.1577821453629706, 1.1577874072248298, 1.1577885729101587, 1.1577886997165376, 1.1577887021551052], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]}, "rotational_transform": 1.4469798701752479} | 6.755619 | 1 | 5.249205 | [
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DekPZuTzkVgfNVqzpvKqCWY | {"qi": 0.001330317897467015, "vacuum_well": -0.1457706984599679, "aspect_ratio": 9.466206627558703, "max_elongation": 6.878850769037572, "average_triangularity": 0.17479892109895703, "axis_magnetic_mirror_ratio": 0.3007731508063828, "edge_magnetic_mirror_ratio": 0.39854081098332905, "aspect_ratio_over_edge_rotational_transform": 10.028358860704644, "flux_compression_in_regions_of_bad_curvature": 1.3088416119086066, "axis_rotational_transform_over_n_field_periods": 0.18606566708950945, "edge_rotational_transform_over_n_field_periods": 0.18878874916715055, "minimum_normalized_magnetic_gradient_scale_length": 9.346303238777145} | 9.466207 | 10.028359 | 0.267935 | 0.300773 | 0.186066 | 0.398541 | 0.188789 | 1.308842 | 6.878851 | 9.346303 | 0.00133 | -0.145771 | {"r_cos":[[0.0,0.0,0.0,0.0,1.0,-0.04042060269994076,-0.0014946138908915434,-0.001037563485032672,-0.00007070744133578622],[-0.00023808282789630913,0.002420555183568059,-0.0030851876844005285,0.04398038171848661,0.09075853736502884,-0.02454117234120321,-0.0017916909328350703,-0.0015240745115751146,0.00044375546551432684],[-0.00005868469214205997,0.0004720807152981967,0.003337038267095819,-0.033469035992107425,0.004793696265632934,-0.00418179038503959,0.0003723347700645672,0.00038814450252625367,-0.000023169499265750834],[0.00033083195811511504,-0.0005715540329883245,-0.0023171329561172253,0.013918092779537192,-0.0025807482850868477,-0.0020972408998965256,0.000730208891951235,0.00019238067532972115,-0.00006593666630379686],[-0.00023125973751896267,0.00011969958262284127,0.0009108793293219684,-0.0021508377466720437,0.00028348374281201,0.0013474492096603307,-0.0007917922831881517,0.0000946270630265819,-0.000025273762566962782]],"z_sin":[[0.0,0.0,0.0,0.0,0.0,-0.0007459481255038147,0.0035261318101884108,-0.0007021906404047055,-0.0002270494228338461],[0.00022072570115434136,-0.00017277750718692206,0.0014079256031730436,0.06797150959637022,-0.17552967197914807,0.03415377157359919,-0.003735371145592901,-0.0003635970046897857,0.000020826547959923333],[-0.00018207760688096586,-0.0001646336654196845,-0.0034331663456439307,-0.03012478124887154,0.01826657816022326,-0.0008636784889942128,-0.0035925033882514626,0.00013093711185306058,0.00003725799017401704],[0.000026374818277596352,0.0011975231503678855,0.0002939765353330715,0.0027234501103032996,-0.002768254897825565,-0.0016162102468457481,0.0005380569307006685,-0.0003780358540950748,-0.00004822534888654322],[0.00020636900964055428,-0.00014599049280361164,0.00015181894314175693,-0.00016293302543012397,0.0007743472002812722,-0.0007403306260423059,0.0001938798392525159,-0.00005831143311504928,-0.00003093941920919356]],"r_sin":null,"z_cos":null,"n_field_periods":5,"is_stellarator_symmetric":true} | true | 5 | [
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End of preview. Expand
in Data Studio
Dataset Card for ConStellaration
A dataset of diverse quasi-isodynamic (QI) stellarator boundary shapes with corresponding performance metrics and ideal magneto-hydrodynamic (MHD) equilibria, as well as settings for their generation.
Dataset Details
Dataset Description
Stellarators are magnetic confinement devices that are being pursued to deliver steady-state carbon-free fusion energy. Their design involves a high-dimensional, constrained optimization problem that requires expensive physics simulations and significant domain expertise. Specifically, QI-stellarators are seen as a promising path to commercial fusion due to their intrinsic avoidance of current-driven disruptions. With the release of this dataset, we aim to lower the barrier for optimization and machine learning researchers to contribute to stellarator design, and to accelerate cross-disciplinary progress toward bringing fusion energy to the grid.
- Curated by: Proxima Fusion
- License: MIT
Dataset Sources
- Repository: https://huggingface.co/datasets/proxima-fusion/constellaration
- Paper: [not published yet]
- Code: https://github.com/proximafusion/constellaration
Dataset Structure
The dataset consists of 2 tabular parts. Both parts have a column plasma_config_id in common which can be used to associate respective entries:
| default | vmecpp_wout |
|---|---|
Contains information about:
|
Contains, for each plasma boundary, a JSON-string representations of the "WOut" file as obtained when running VMEC, initialized on the boundary. The JSON representation can be converted to a VMEC2000 output file. |
The columns plasma_config_id and vmecpp_wout_id are present in both parts and link the two in both directions.
Uses
Install Huggingface Datasets: pip install datasets
Basic Usage
Load the dataset and convert to a Pandas Dataframe (here, torch is used as an example; install it with" pip install torch):
import datasets
import torch
from pprint import pprint
ds = datasets.load_dataset(
"proxima-fusion/constellaration",
split="train",
num_proc=4,
)
ds = ds.select_columns([c for c in ds.column_names
if c.startswith("boundary.")
or c.startswith("metrics.")])
ds = ds.filter(
lambda x: x == 3,
input_columns=["boundary.n_field_periods"],
num_proc=4,
)
ml_ds = ds.remove_columns([
"boundary.n_field_periods", "boundary.is_stellarator_symmetric", # all same value
"boundary.r_sin", "boundary.z_cos", # empty
"boundary.json", "metrics.json", "metrics.id", # not needed
])
device = torch.device("cuda" if torch.cuda.is_available() else "cpu")
torch_ds = ml_ds.with_format("torch", device=device) # other options: "jax", "tensorflow" etc.
for batch in torch.utils.data.DataLoader(torch_ds, batch_size=4, num_workers=4):
pprint(batch)
break
Output
{'boundary.r_cos': tensor([[[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 1.0000e+00,
-6.5763e-02, -3.8500e-02, 2.2178e-03, 4.6007e-04],
[-6.6648e-04, -1.0976e-02, 5.6475e-02, 1.4193e-02, 8.3476e-02,
-4.6767e-02, -1.3679e-02, 3.9562e-03, 1.0087e-04],
[-3.5474e-04, 4.7144e-03, 8.3967e-04, -1.9705e-02, -9.4592e-03,
-5.8859e-03, 1.0172e-03, 9.2020e-04, -2.0059e-04],
[ 2.9056e-03, 1.6125e-04, -4.0626e-04, -8.0189e-03, 1.3228e-03,
-5.3636e-04, -7.3536e-04, 3.4558e-05, 1.4845e-04],
[-1.2475e-04, -4.9942e-04, -2.6091e-04, -5.6161e-04, 8.3187e-05,
-1.2714e-04, -2.1174e-04, 4.1940e-06, -4.5643e-05]],
[[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 9.9909e-01,
-6.8512e-02, -8.1567e-02, 2.5140e-02, -2.4035e-03],
[-3.4328e-03, 1.6768e-02, 1.2305e-02, -3.6708e-02, 1.0285e-01,
1.1224e-02, -2.3418e-02, -5.4137e-04, 9.3986e-04],
[-2.8389e-03, 1.4652e-03, 1.0112e-03, 9.8102e-04, -2.3162e-02,
-6.1180e-03, 1.5327e-03, 9.4122e-04, -1.2781e-03],
[ 3.9240e-04, -2.3131e-04, 4.5690e-04, -3.8244e-03, -1.5314e-03,
1.8863e-03, 1.1882e-03, -5.2338e-04, 2.6766e-04],
[-2.8441e-04, -3.4162e-04, 5.4013e-05, 7.4252e-04, 4.9895e-04,
-6.1110e-04, -8.7185e-04, -1.1714e-04, 9.9285e-08]],
[[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 1.0000e+00,
6.9176e-02, -1.8489e-02, -6.5094e-03, -7.6238e-04],
[ 1.4062e-03, 4.2645e-03, -1.0647e-02, -8.1579e-02, 1.0522e-01,
1.6914e-02, 6.5321e-04, 6.9397e-04, 2.0881e-04],
[-6.5155e-05, -1.2232e-03, -3.3660e-03, 9.8742e-03, -1.4611e-02,
6.0985e-03, 9.5693e-04, -1.0049e-04, 5.4173e-05],
[-4.3969e-04, -5.1155e-04, 6.9611e-03, -2.8698e-04, -5.8589e-03,
-5.4844e-05, -7.3797e-04, -5.4401e-06, -3.3698e-05],
[-1.9741e-04, 1.0003e-04, -2.0176e-04, 4.9546e-04, -1.6201e-04,
-1.9169e-04, -3.9886e-04, 3.3773e-05, -3.5972e-05]],
[[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 1.0000e+00,
1.1652e-01, -1.5593e-02, -1.0215e-02, -1.8656e-03],
[ 3.1697e-03, 2.1618e-02, 2.7072e-02, -2.4032e-02, 8.6125e-02,
-7.1168e-04, -1.2433e-02, -2.0902e-03, 1.5868e-04],
[-2.3877e-04, -4.9871e-03, -2.4145e-02, -2.1623e-02, -3.1477e-02,
-8.3460e-03, -8.8675e-04, -5.3290e-04, -2.2784e-04],
[-1.0006e-03, 2.1055e-05, -1.7186e-03, -5.2886e-03, 4.5186e-03,
-1.1530e-03, 6.2732e-05, 1.4212e-04, 4.3367e-05],
[ 7.8993e-05, -3.9503e-04, 1.5458e-03, -4.9707e-04, -3.9470e-04,
6.0808e-04, -3.6447e-04, 1.2936e-04, 6.3461e-07]]]),
'boundary.z_sin': tensor([[[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,
-1.4295e-02, 1.4929e-02, -6.6461e-03, -3.0652e-04],
[ 9.6958e-05, -1.6067e-03, 5.7568e-02, -2.2848e-02, -1.6101e-01,
1.6560e-02, 1.5032e-02, -1.2463e-03, -4.0128e-04],
[-9.9541e-04, 3.6108e-03, -1.1401e-02, -1.8894e-02, -7.7459e-04,
9.4527e-03, -4.6871e-04, -5.5180e-04, 3.2248e-04],
[ 2.3465e-03, -2.4885e-03, -8.4212e-03, 8.9649e-03, -1.9880e-03,
-1.6269e-03, 8.4700e-04, 3.7171e-04, -6.8400e-05],
[-3.6228e-04, -1.8575e-04, 6.0890e-04, 5.0270e-04, -6.9953e-04,
-7.6356e-05, 2.3796e-04, -3.2524e-05, 5.3396e-05]],
[[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,
-8.5341e-02, 2.4825e-02, 8.0996e-03, -7.1501e-03],
[-1.3470e-03, 4.6367e-03, 4.1579e-02, -3.6802e-02, -1.5076e-01,
7.1852e-02, -1.9793e-02, 8.2575e-03, -3.8958e-03],
[-2.3956e-03, -5.7497e-03, 5.8264e-03, 9.4471e-03, -3.5171e-03,
-1.0481e-02, -3.2885e-03, 4.0624e-03, 4.3130e-04],
[ 6.3403e-05, -9.2162e-04, -2.4765e-03, 5.4090e-04, 1.9999e-03,
-1.1500e-03, 2.7581e-03, -5.7271e-04, 3.0363e-04],
[ 4.6278e-04, 4.3696e-04, 8.0524e-05, -2.4660e-04, -2.3747e-04,
5.5060e-05, -1.3221e-04, -5.4823e-05, 1.6025e-04]],
[[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,
-1.6090e-01, -1.4364e-02, 3.7923e-03, 1.8234e-03],
[ 1.2118e-03, 3.1261e-03, 3.2037e-03, -5.7482e-02, -1.5461e-01,
-1.8058e-03, -5.7149e-03, -7.4521e-04, 2.9463e-04],
[ 8.7049e-04, -3.2717e-04, -1.0188e-02, 1.1215e-02, -7.4697e-03,
-1.3592e-03, -1.4984e-03, -3.1362e-04, 1.5780e-06],
[ 1.2617e-04, -1.2257e-04, -6.9928e-04, 8.7431e-04, -2.5848e-03,
1.2087e-03, -2.4723e-04, -1.6535e-05, -6.4372e-05],
[-4.3932e-04, -1.8130e-04, 7.4368e-04, -6.1396e-04, -4.1518e-04,
4.8132e-04, 1.6036e-04, 5.3081e-05, 1.6636e-05]],
[[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00,
-1.1264e-02, -1.8349e-03, 7.2464e-03, 2.3807e-03],
[ 3.2969e-03, 1.9590e-02, 2.8355e-02, -1.0493e-02, -1.3216e-01,
1.7804e-02, 7.9768e-03, 2.1362e-03, -6.9118e-04],
[-5.2572e-04, -4.1409e-03, -3.6560e-02, 2.1644e-02, 1.6418e-02,
9.3557e-03, 3.3846e-03, 7.4172e-05, 1.8406e-04],
[-1.4907e-03, 2.0496e-03, -4.8581e-03, 3.5471e-03, -2.9191e-03,
-1.5056e-03, 7.7168e-04, -2.3136e-04, -1.2064e-05],
[-2.3742e-04, 4.5083e-04, -1.2933e-03, -4.4028e-04, 6.4168e-04,
-8.2755e-04, 4.1233e-04, -1.1037e-04, -6.3762e-06]]]),
'metrics.aspect_ratio': tensor([9.6474, 9.1036, 9.4119, 9.5872]),
'metrics.aspect_ratio_over_edge_rotational_transform': tensor([ 9.3211, 106.7966, 13.8752, 8.9834]),
'metrics.average_triangularity': tensor([-0.6456, -0.5325, -0.6086, -0.6531]),
'metrics.axis_magnetic_mirror_ratio': tensor([0.2823, 0.4224, 0.2821, 0.2213]),
'metrics.axis_rotational_transform_over_n_field_periods': tensor([0.2333, 0.0818, 0.1887, 0.1509]),
'metrics.edge_magnetic_mirror_ratio': tensor([0.4869, 0.5507, 0.3029, 0.2991]),
'metrics.edge_rotational_transform_over_n_field_periods': tensor([0.3450, 0.0284, 0.2261, 0.3557]),
'metrics.flux_compression_in_regions_of_bad_curvature': tensor([1.4084, 0.9789, 1.5391, 1.1138]),
'metrics.max_elongation': tensor([6.7565, 6.9036, 5.6105, 5.8703]),
'metrics.minimum_normalized_magnetic_gradient_scale_length': tensor([5.9777, 4.2971, 8.5928, 4.8531]),
'metrics.qi': tensor([0.0148, 0.0157, 0.0016, 0.0248]),
'metrics.vacuum_well': tensor([-0.2297, -0.1146, -0.0983, -0.1738])}
Advanced Usage
For advanced manipulation and visualization of data contained in this dataset, install constellaration from here:
pip install constellaration
Load and instantiate plasma boundaries:
from constellaration.geometry import surface_rz_fourier
ds = datasets.load_dataset(
"proxima-fusion/constellaration",
columns=["plasma_config_id", "boundary.json"],
split="train",
num_proc=4,
)
pandas_ds = ds.to_pandas().set_index("plasma_config_id")
plasma_config_id = "DQ4abEQAQjFPGp9nPQN9Vjf"
boundary_json = pandas_ds.loc[plasma_config_id]["boundary.json"]
boundary = surface_rz_fourier.SurfaceRZFourier.model_validate_json(boundary_json)
Plot boundary:
from constellaration.utils import visualization
visualization.plot_surface(boundary).show()
visualization.plot_boundary(boundary).get_figure().show()
| Boundary | Cross-sections |
|---|---|
 |
 |
Stream and instantiate the VMEC ideal MHD equilibria:
from constellaration.mhd import vmec_utils
wout_ds = datasets.load_dataset(
"proxima-fusion/constellaration",
"vmecpp_wout",
split="train",
streaming=True,
)
row = next(wout_ds.__iter__())
vmecpp_wout_json = row["json"]
vmecpp_wout = vmec_utils.VmecppWOut.model_validate_json(vmecpp_wout_json)
# Fetch corresponding boundary
plasma_config_id = row["plasma_config_id"]
boundary_json = pandas_ds.loc[plasma_config_id]["boundary.json"]
boundary = surface_rz_fourier.SurfaceRZFourier.model_validate_json(boundary_json)
Plot flux surfaces:
from constellaration.utils import visualization
visualization.plot_flux_surfaces(vmecpp_wout, boundary)
Save ideal MHD equilibrium to VMEC2000 WOut file:
import pathlib
from constellaration.utils import file_exporter
file_exporter.to_vmec2000_wout_file(vmecpp_wout, pathlib.Path("vmec2000_wout.nc"))
Dataset Creation
Curation Rationale
Wide-spread community progress is currently bottlenecked by the lack of standardized optimization problems with strong baselines and datasets that enable data-driven approaches, particularly for quasi-isodynamic (QI) stellarator configurations.
Source Data
Data Collection and Processing
We generated this dataset by sampling diverse QI fields and optimizing stellarator plasma boundaries to target key properties, using four different methods.
Who are the source data producers?
Proxima Fusion's stellarator optimization team.
Personal and Sensitive Information
The dataset contains no personally identifiable information.
Citation
BibTeX:
@article{article_id, author = {Santiago A Cadena, Andrea Merlo, Emanuel Laude, Alexander Bauer, Atul Agrawal, Maria Pascu, Marija Savtchouk, Lukas Bonauer, Enrico Guiraud, Stuart R. Hudson, Markus Kaiser}, title = {ConStellaration: A dataset of QI-like stellarator plasma boundaries and optimization benchmarks}, journal = {NeurIPS 2025 Datasets and Benchmarks Track}, year = {2025} }
Glossary
| Abbreviation | Expansion |
|---|---|
| QI | Quasi-Isodynamic(ity) |
| MHD | Magneto-Hydrodynamic |
| DESC | Dynamical Equilibrium Solver for Confinement |
| VMEC/VMEC++ | Variational Moments Equilibrium Code (Fortran/C++) |
| QP | Quasi-Poloidal |
| NAE | Near-Axis Expansion |
| NFP | Number of Field Periods |
Dataset Card Authors
Alexander Bauer, Santiago A. Cadena
Dataset Card Contact
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