diff --git a/.gitattributes b/.gitattributes new file mode 100644 index 0000000000000000000000000000000000000000..1ef325f1b111266a6b26e0196871bd78baa8c2f3 --- /dev/null +++ b/.gitattributes @@ -0,0 +1,59 @@ +*.7z filter=lfs diff=lfs merge=lfs -text +*.arrow filter=lfs diff=lfs merge=lfs -text +*.bin filter=lfs diff=lfs merge=lfs -text +*.bz2 filter=lfs diff=lfs merge=lfs -text +*.ckpt filter=lfs diff=lfs merge=lfs -text +*.ftz filter=lfs diff=lfs merge=lfs -text +*.gz filter=lfs diff=lfs merge=lfs -text +*.h5 filter=lfs diff=lfs merge=lfs -text +*.joblib filter=lfs diff=lfs merge=lfs -text +*.lfs.* filter=lfs diff=lfs merge=lfs -text +*.lz4 filter=lfs diff=lfs merge=lfs -text +*.mds filter=lfs diff=lfs merge=lfs -text +*.mlmodel filter=lfs diff=lfs merge=lfs -text +*.model filter=lfs diff=lfs merge=lfs -text +*.msgpack filter=lfs diff=lfs merge=lfs -text +*.npy filter=lfs diff=lfs merge=lfs -text +*.npz filter=lfs diff=lfs merge=lfs -text +*.onnx filter=lfs diff=lfs merge=lfs -text +*.ot filter=lfs diff=lfs merge=lfs -text +*.parquet filter=lfs diff=lfs merge=lfs -text +*.pb filter=lfs diff=lfs merge=lfs -text +*.pickle filter=lfs diff=lfs merge=lfs -text +*.pkl filter=lfs diff=lfs merge=lfs -text +*.pt filter=lfs diff=lfs merge=lfs -text +*.pth filter=lfs diff=lfs merge=lfs -text +*.rar filter=lfs diff=lfs merge=lfs -text +*.safetensors filter=lfs diff=lfs merge=lfs -text +saved_model/**/* filter=lfs diff=lfs merge=lfs -text +*.tar.* filter=lfs diff=lfs merge=lfs -text +*.tar filter=lfs diff=lfs merge=lfs -text +*.tflite filter=lfs diff=lfs merge=lfs -text +*.tgz filter=lfs diff=lfs merge=lfs -text +*.wasm filter=lfs diff=lfs merge=lfs -text +*.xz filter=lfs diff=lfs merge=lfs -text +*.zip filter=lfs diff=lfs merge=lfs -text +*.zst filter=lfs diff=lfs merge=lfs -text +*tfevents* filter=lfs diff=lfs merge=lfs -text +# Audio files - uncompressed +*.pcm filter=lfs diff=lfs merge=lfs -text +*.sam filter=lfs diff=lfs merge=lfs -text +*.raw filter=lfs diff=lfs merge=lfs -text +# Audio files - compressed +*.aac filter=lfs diff=lfs merge=lfs -text +*.flac filter=lfs diff=lfs merge=lfs -text +*.mp3 filter=lfs diff=lfs merge=lfs -text +*.ogg filter=lfs diff=lfs merge=lfs -text +*.wav filter=lfs diff=lfs merge=lfs -text +# Image files - uncompressed +*.bmp filter=lfs diff=lfs merge=lfs -text +*.gif filter=lfs diff=lfs merge=lfs -text +*.png filter=lfs diff=lfs merge=lfs -text +*.tiff filter=lfs diff=lfs merge=lfs -text +# Image files - compressed +*.jpg filter=lfs diff=lfs merge=lfs -text +*.jpeg filter=lfs diff=lfs merge=lfs -text +*.webp filter=lfs diff=lfs merge=lfs -text +# Video files - compressed +*.mp4 filter=lfs diff=lfs merge=lfs -text +*.webm filter=lfs diff=lfs merge=lfs -text diff --git a/README.md b/README.md new file mode 100644 index 0000000000000000000000000000000000000000..adef2e4f6dbb580223d23a941f0f202dbd70ab55 --- /dev/null +++ b/README.md @@ -0,0 +1,1045 @@ +--- +dataset_info: +- config_name: default + features: + - name: metrics.id + dtype: string + - name: metrics.json + dtype: string + - name: metrics.aspect_ratio + dtype: float64 + - name: metrics.aspect_ratio_over_edge_rotational_transform + dtype: float64 + - name: metrics.average_triangularity + dtype: float64 + - name: metrics.axis_magnetic_mirror_ratio + dtype: float64 + - name: metrics.axis_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.edge_magnetic_mirror_ratio + dtype: float64 + - name: metrics.edge_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.flux_compression_in_regions_of_bad_curvature + dtype: float64 + - name: metrics.max_elongation + dtype: float64 + - name: metrics.minimum_normalized_magnetic_gradient_scale_length + dtype: float64 + - name: metrics.qi + dtype: float64 + - name: metrics.vacuum_well + dtype: float64 + - name: boundary.json + dtype: string + - name: boundary.is_stellarator_symmetric + dtype: bool + - name: boundary.n_field_periods + dtype: int64 + - name: boundary.n_periodicity + dtype: int64 + - name: boundary.r_cos + sequence: + sequence: float64 + - name: boundary.r_sin + dtype: 'null' + - name: boundary.z_cos + dtype: 'null' + - name: boundary.z_sin + sequence: + sequence: float64 + - name: omnigenous_field_and_targets.id + dtype: string + - name: omnigenous_field_and_targets.json + dtype: string + - name: omnigenous_field_and_targets.aspect_ratio + dtype: float64 + - name: omnigenous_field_and_targets.major_radius + dtype: float64 + - name: omnigenous_field_and_targets.max_elongation + dtype: float64 + - name: omnigenous_field_and_targets.omnigenous_field.modB_spline_knot_coefficients + sequence: + sequence: float64 + - name: omnigenous_field_and_targets.omnigenous_field.n_field_periods + dtype: int64 + - name: omnigenous_field_and_targets.omnigenous_field.poloidal_winding + dtype: int64 + - name: omnigenous_field_and_targets.omnigenous_field.torodial_winding + dtype: int64 + - name: omnigenous_field_and_targets.omnigenous_field.x_lmn + sequence: + sequence: + sequence: float64 + - name: omnigenous_field_and_targets.rotational_transform + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.id + dtype: string + - name: desc_omnigenous_field_optimization_settings.json + dtype: string + - name: desc_omnigenous_field_optimization_settings.equilibrium_settings.check_orientation + dtype: bool + - name: desc_omnigenous_field_optimization_settings.equilibrium_settings.max_poloidal_mode + dtype: int64 + - name: desc_omnigenous_field_optimization_settings.equilibrium_settings.max_toroidal_mode + dtype: int64 + - name: desc_omnigenous_field_optimization_settings.equilibrium_settings.psi + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.aspect_ratio + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.elongation + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.is_iota_positive + dtype: bool + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.is_stellarator_symmetric + dtype: bool + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.major_radius + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.max_elongation + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.max_poloidal_mode + dtype: int64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.max_toroidal_mode + dtype: int64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.mirror_ratio + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.n_field_periods + dtype: int64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.rotational_transform + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.initial_guess_settings.torsion + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.objective_settings.aspect_ratio_settings.name + dtype: string + - name: desc_omnigenous_field_optimization_settings.objective_settings.aspect_ratio_settings.target_kind + dtype: string + - name: desc_omnigenous_field_optimization_settings.objective_settings.aspect_ratio_settings.weight + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.objective_settings.elongation_settings.name + dtype: string + - name: desc_omnigenous_field_optimization_settings.objective_settings.elongation_settings.target_kind + dtype: string + - name: desc_omnigenous_field_optimization_settings.objective_settings.elongation_settings.weight + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.eq_lcfs_grid_M_factor + dtype: int64 + - name: desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.eq_lcfs_grid_N_factor + dtype: int64 + - name: desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.eq_lcfs_grid_rho + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.eta_weight + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.name + dtype: string + - name: desc_omnigenous_field_optimization_settings.objective_settings.omnigenity_settings.weight + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.objective_settings.rotational_transform_settings.name + dtype: string + - name: desc_omnigenous_field_optimization_settings.objective_settings.rotational_transform_settings.target_kind + dtype: string + - name: desc_omnigenous_field_optimization_settings.objective_settings.rotational_transform_settings.weight + dtype: float64 + - name: desc_omnigenous_field_optimization_settings.optimizer_settings.maxiter + dtype: int64 + - name: desc_omnigenous_field_optimization_settings.optimizer_settings.name + dtype: string + - name: desc_omnigenous_field_optimization_settings.optimizer_settings.verbose + dtype: int64 + - name: vmec_omnigenous_field_optimization_settings.id + dtype: string + - name: vmec_omnigenous_field_optimization_settings.json + dtype: string + - name: vmec_omnigenous_field_optimization_settings.gradient_based_relative_objectives_tolerance + dtype: float64 + - name: vmec_omnigenous_field_optimization_settings.gradient_free_budget_per_design_variable + dtype: int64 + - name: vmec_omnigenous_field_optimization_settings.gradient_free_max_time + dtype: int64 + - name: vmec_omnigenous_field_optimization_settings.gradient_free_optimization_hypercube_bounds + dtype: float64 + - name: vmec_omnigenous_field_optimization_settings.infinity_norm_spectrum_scaling + dtype: float64 + - name: vmec_omnigenous_field_optimization_settings.max_poloidal_mode + dtype: int64 + - name: vmec_omnigenous_field_optimization_settings.max_toroidal_mode + dtype: int64 + - name: vmec_omnigenous_field_optimization_settings.n_inner_optimizations + dtype: int64 + - name: vmec_omnigenous_field_optimization_settings.use_continuation_method_in_fourier_space + dtype: bool + - name: vmec_omnigenous_field_optimization_settings.verbose + dtype: bool + - name: qp_init_omnigenous_field_optimization_settings.id + dtype: string + - name: qp_init_omnigenous_field_optimization_settings.json + dtype: string + - name: qp_init_omnigenous_field_optimization_settings.aspect_ratio + dtype: float64 + - name: qp_init_omnigenous_field_optimization_settings.elongation + dtype: float64 + - name: qp_init_omnigenous_field_optimization_settings.is_iota_positive + dtype: bool + - name: qp_init_omnigenous_field_optimization_settings.is_stellarator_symmetric + dtype: bool + - name: qp_init_omnigenous_field_optimization_settings.major_radius + dtype: float64 + - name: qp_init_omnigenous_field_optimization_settings.mirror_ratio + dtype: float64 + - name: qp_init_omnigenous_field_optimization_settings.n_field_periods + dtype: int64 + - name: qp_init_omnigenous_field_optimization_settings.torsion + dtype: float64 + - name: nae_init_omnigenous_field_optimization_settings.id + dtype: string + - name: nae_init_omnigenous_field_optimization_settings.json + dtype: string + - name: nae_init_omnigenous_field_optimization_settings.aspect_ratio + dtype: float64 + - name: nae_init_omnigenous_field_optimization_settings.max_elongation + dtype: float64 + - name: nae_init_omnigenous_field_optimization_settings.max_poloidal_mode + dtype: int64 + - name: nae_init_omnigenous_field_optimization_settings.max_toroidal_mode + dtype: int64 + - name: nae_init_omnigenous_field_optimization_settings.mirror_ratio + dtype: float64 + - name: nae_init_omnigenous_field_optimization_settings.n_field_periods + dtype: int64 + - name: nae_init_omnigenous_field_optimization_settings.rotational_transform + dtype: float64 + - name: misc.vmecpp_wout_id + dtype: string + - name: misc.has_optimize_boundary_omnigenity_vmec_error + dtype: bool + - name: misc.has_optimize_boundary_omnigenity_desc_error + dtype: bool + - name: misc.has_generate_qp_initialization_from_targets_error + dtype: bool + - name: misc.has_generate_nae_initialization_from_targets_error + dtype: bool + - name: misc.has_neurips_2025_forward_model_error + dtype: bool + - name: plasma_config_id + dtype: string + splits: + - name: train + num_bytes: 1240651097.3174775 + num_examples: 182222 + download_size: 610201645 + dataset_size: 1240651097.3174775 +- config_name: finite_beta_1pct + features: + - name: metrics.id + dtype: string + - name: metrics.json + dtype: string + - name: metrics.aspect_ratio + dtype: float64 + - name: metrics.aspect_ratio_over_edge_rotational_transform + dtype: float64 + - name: metrics.average_triangularity + dtype: float64 + - name: metrics.axis_magnetic_mirror_ratio + dtype: float64 + - name: metrics.axis_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.edge_magnetic_mirror_ratio + dtype: float64 + - name: metrics.edge_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.flux_compression_in_regions_of_bad_curvature + dtype: float64 + - name: metrics.max_elongation + dtype: float64 + - name: metrics.minimum_normalized_magnetic_gradient_scale_length + dtype: float64 + - name: metrics.qi + dtype: float64 + - name: metrics.vacuum_well + dtype: float64 + - name: misc.vmecpp_wout_id + dtype: string + - name: misc.source_plasma_config_id + dtype: string + - name: misc.has_neurips_2025_forward_model_error + dtype: bool + - name: plasma_config_id + dtype: string + splits: + - name: train + num_bytes: 76508664.04284965 + num_examples: 112804 + download_size: 52556502 + dataset_size: 76508664.04284965 +- config_name: finite_beta_2pct + features: + - name: metrics.id + dtype: string + - name: metrics.json + dtype: string + - name: metrics.aspect_ratio + dtype: float64 + - name: metrics.aspect_ratio_over_edge_rotational_transform + dtype: float64 + - name: metrics.average_triangularity + dtype: float64 + - name: metrics.axis_magnetic_mirror_ratio + dtype: float64 + - name: metrics.axis_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.edge_magnetic_mirror_ratio + dtype: float64 + - name: metrics.edge_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.flux_compression_in_regions_of_bad_curvature + dtype: float64 + - name: metrics.max_elongation + dtype: float64 + - name: metrics.minimum_normalized_magnetic_gradient_scale_length + dtype: float64 + - name: metrics.qi + dtype: float64 + - name: metrics.vacuum_well + dtype: float64 + - name: misc.vmecpp_wout_id + dtype: string + - name: misc.source_plasma_config_id + dtype: string + - name: misc.has_neurips_2025_forward_model_error + dtype: bool + - name: plasma_config_id + dtype: string + splits: + - name: train + num_bytes: 47402708.67692375 + num_examples: 82722 + download_size: 38593722 + dataset_size: 47402708.67692375 +- config_name: finite_beta_3pct + features: + - name: metrics.id + dtype: string + - name: metrics.json + dtype: string + - name: metrics.aspect_ratio + dtype: float64 + - name: metrics.aspect_ratio_over_edge_rotational_transform + dtype: float64 + - name: metrics.average_triangularity + dtype: float64 + - name: metrics.axis_magnetic_mirror_ratio + dtype: float64 + - name: metrics.axis_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.edge_magnetic_mirror_ratio + dtype: float64 + - name: metrics.edge_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.flux_compression_in_regions_of_bad_curvature + dtype: float64 + - name: metrics.max_elongation + dtype: float64 + - name: metrics.minimum_normalized_magnetic_gradient_scale_length + dtype: float64 + - name: metrics.qi + dtype: float64 + - name: metrics.vacuum_well + dtype: float64 + - name: misc.vmecpp_wout_id + dtype: string + - name: misc.source_plasma_config_id + dtype: string + - name: misc.has_neurips_2025_forward_model_error + dtype: bool + - name: plasma_config_id + dtype: string + splits: + - name: train + num_bytes: 25395079.54877086 + num_examples: 55448 + download_size: 25947395 + dataset_size: 25395079.54877086 +- config_name: finite_beta_4pct + features: + - name: metrics.id + dtype: string + - name: metrics.json + dtype: string + - name: metrics.aspect_ratio + dtype: float64 + - name: metrics.aspect_ratio_over_edge_rotational_transform + dtype: float64 + - name: metrics.average_triangularity + dtype: float64 + - name: metrics.axis_magnetic_mirror_ratio + dtype: float64 + - name: metrics.axis_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.edge_magnetic_mirror_ratio + dtype: float64 + - name: metrics.edge_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.flux_compression_in_regions_of_bad_curvature + dtype: float64 + - name: metrics.max_elongation + dtype: float64 + - name: metrics.minimum_normalized_magnetic_gradient_scale_length + dtype: float64 + - name: metrics.qi + dtype: float64 + - name: metrics.vacuum_well + dtype: float64 + - name: misc.vmecpp_wout_id + dtype: string + - name: misc.source_plasma_config_id + dtype: string + - name: misc.has_neurips_2025_forward_model_error + dtype: bool + - name: plasma_config_id + dtype: string + splits: + - name: train + num_bytes: 13509704.764567751 + num_examples: 36444 + download_size: 17086365 + dataset_size: 13509704.764567751 +- config_name: finite_beta_5pct + features: + - name: metrics.id + dtype: string + - name: metrics.json + dtype: string + - name: metrics.aspect_ratio + dtype: float64 + - name: metrics.aspect_ratio_over_edge_rotational_transform + dtype: float64 + - name: metrics.average_triangularity + dtype: float64 + - name: metrics.axis_magnetic_mirror_ratio + dtype: float64 + - name: metrics.axis_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.edge_magnetic_mirror_ratio + dtype: float64 + - name: metrics.edge_rotational_transform_over_n_field_periods + dtype: float64 + - name: metrics.flux_compression_in_regions_of_bad_curvature + dtype: float64 + - name: metrics.max_elongation + dtype: float64 + - name: metrics.minimum_normalized_magnetic_gradient_scale_length + dtype: float64 + - name: metrics.qi + dtype: float64 + - name: metrics.vacuum_well + dtype: float64 + - name: misc.vmecpp_wout_id + dtype: string + - name: misc.source_plasma_config_id + dtype: string + - name: misc.has_neurips_2025_forward_model_error + dtype: bool + - name: plasma_config_id + dtype: string + splits: + - name: train + num_bytes: 8792377.219300479 + num_examples: 26729 + download_size: 12538180 + dataset_size: 8792377.219300479 +- config_name: vmecpp_wout + features: + - name: plasma_config_id + dtype: string + - name: id + dtype: string + - name: json + dtype: string + splits: + - name: train + num_bytes: 1100757693175 + num_examples: 148292 + download_size: 956063943 + dataset_size: 1100757693175 +- config_name: vmecpp_wout_finite_beta_1pct + features: + - name: plasma_config_id + dtype: string + - name: id + dtype: string + - name: json + dtype: string + splits: + - name: train + num_bytes: 1100757693175 + num_examples: 148292 + download_size: 956063943 + dataset_size: 1100757693175 +- config_name: vmecpp_wout_finite_beta_2pct + features: + - name: plasma_config_id + dtype: string + - name: id + dtype: string + - name: json + dtype: string + splits: + - name: train + num_bytes: 1100757693175 + num_examples: 148292 + download_size: 956063943 + dataset_size: 1100757693175 +- config_name: vmecpp_wout_finite_beta_3pct + features: + - name: plasma_config_id + dtype: string + - name: id + dtype: string + - name: json + dtype: string + splits: + - name: train + num_bytes: 1100757693175 + num_examples: 148292 + download_size: 956063943 + dataset_size: 1100757693175 +- config_name: vmecpp_wout_finite_beta_4pct + features: + - name: plasma_config_id + dtype: string + - name: id + dtype: string + - name: json + dtype: string + splits: + - name: train + num_bytes: 1100757693175 + num_examples: 148292 + download_size: 956063943 + dataset_size: 1100757693175 +- config_name: vmecpp_wout_finite_beta_5pct + features: + - name: plasma_config_id + dtype: string + - name: id + dtype: string + - name: json + dtype: string + splits: + - name: train + num_bytes: 1100757693175 + num_examples: 148292 + download_size: 956063943 + dataset_size: 1100757693175 +configs: +- config_name: default + data_files: + - split: train + path: data/train-* +- config_name: finite_beta_1pct + data_files: + - split: train + path: finite_beta_1pct/train-* +- config_name: finite_beta_2pct + data_files: + - split: train + path: finite_beta_2pct/train-* +- config_name: finite_beta_3pct + data_files: + - split: train + path: finite_beta_3pct/train-* +- config_name: finite_beta_4pct + data_files: + - split: train + path: finite_beta_4pct/train-* +- config_name: finite_beta_5pct + data_files: + - split: train + path: finite_beta_5pct/train-* +- config_name: vmecpp_wout + data_files: + - split: train + path: vmecpp_wout/part* +- config_name: vmecpp_wout_finite_beta_1pct + data_files: + - split: train + path: vmecpp_wout_finite_beta_1pct/part* +- config_name: vmecpp_wout_finite_beta_2pct + data_files: + - split: train + path: vmecpp_wout_finite_beta_2pct/part* +- config_name: vmecpp_wout_finite_beta_3pct + data_files: + - split: train + path: vmecpp_wout_finite_beta_3pct/part* +- config_name: vmecpp_wout_finite_beta_4pct + data_files: + - split: train + path: vmecpp_wout_finite_beta_4pct/part* +- config_name: vmecpp_wout_finite_beta_5pct + data_files: + - split: train + path: vmecpp_wout_finite_beta_5pct/part* +license: mit +language: +- en +tags: +- physics +- fusion +- optimization +- neurips +pretty_name: ConStellaration +size_categories: +- 100K + +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. + +The performance metrics and ideal MHD equilibria were evaluated under vacuum (default) and with plasma inside (finite beta). + +## 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 + +![Diagram of the computation of metrics of interest from a plasma boundary via the MHD equilibrium](assets/mhd_intro_v2.png) + +### Dataset Sources + + + +- **Repository:** https://huggingface.co/datasets/proxima-fusion/constellaration +- **Paper:** https://arxiv.org/abs/2506.19583 +- **Code:** https://github.com/proximafusion/constellaration + +## Dataset Structure + + + +There are 6 tuples of datasets, one for each percentage of volume-averaged plasma inside the boundary: + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
ConditionBoundaries, Metrics, Generation Settings, MiscIdeal MHD Equilibira
Vacuumdefaultvmecpp_wout
1% Betafinte_beta_1pctvmecpp_wout_finite_beta_1pct
2% Betafinte_beta_2pctvmecpp_wout_finite_beta_2pct
3% Betafinte_beta_3pctvmecpp_wout_finite_beta_3pct
4% Betafinte_beta_4pctvmecpp_wout_finite_beta_4pct
5% Betafinte_beta_5pctvmecpp_wout_finite_beta_5pct
+
+Contents of datasets: + + + + + + + + + + + + + + + + + + + + +
defaultvmecpp_wout
+ Contains information about: +
    +
  • Plasma boundaries
  • +
  • Ideal MHD metrics in vacuum
  • +
  • Omnigenous field and targets, used as input for sampling of plasma boundaries
  • +
  • Sampling settings for various methods (DESC, VMEC, QP initialization, Near-axis expansion)
  • +
  • Miscellaneous information +
      +
    • the corresponding ideal MHD equilibrium ID in vmecpp_wout
    • +
    • errors that might have occurred during sampling or metrics computation.
    • +
    +
  • +
+
+ Contains: +
    +
  • For each plasma boundary in default, a JSON-string representation 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 corresponding plasma configuration ID in default
  • +
+
+ The default (vacuum) subset above is special in the sense that it contains more information than the other subsets (finite betas) below. Those are derived from the default (vacuum) subset by setting for each plasma boundary the respective volume-averaged beta percentage and re-computing the performance metrics and ideal MHD equilibria: +
finite_beta_*pctvmecpp_wout_finite_beta_*pct
+ Contains information about: +
    +
  • Ideal MHD metrics with plasma
  • +
  • Miscellaneous information +
      +
    • the corresponding source plasma configuration ID in default
    • +
    • the corresponding ideal MHD equilibrium ID in vmecpp_wout_finite_beta_*pct
    • +
    • errors that might have occurred metrics computation.
    • +
    +
  • +
+
+ Same as vmecpp_wout above, corresponding to finite_beta_*pct +
+ +For each of the components above there is an identifier column (ending with `.id`), a JSON column containing a JSON-string representation, as well as one column per leaf in the nested JSON structure (with `.` separating the keys on the JSON path to the respective leaf). + +## 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`): +```python +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 + +```python +{'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](https://github.com/proximafusion/constellaration): +`pip install constellaration` + +Load and instantiate plasma boundaries: +```python +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: +```python +from constellaration.utils import visualization + +visualization.plot_surface(boundary).show() +visualization.plot_boundary(boundary).get_figure().show() +``` +Boundary | Cross-sections +:-------------------------:|:-------------------------: +![Plot of plasma boundary](assets/boundary.png) | ![Plot of boundary cross-sections](assets/boundary_cross_sections.png) + +Stream and instantiate the VMEC ideal MHD equilibria: +```python +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: +```python +from constellaration.utils import visualization + +visualization.plot_flux_surfaces(vmecpp_wout, boundary) +``` +![Plot of flux surfaces](assets/flux_surfaces.png) + +Save ideal MHD equilibrium to *VMEC2000 WOut* file: +```python +import pathlib +from constellaration.utils import file_exporter + +file_exporter.to_vmec2000_wout_file(vmecpp_wout, pathlib.Path("vmec2000_wout.nc")) +``` +Match the boundaries from the **default** dataset to the corresponding metrics under a certain plasma condition: +```python +import datasets + +# Load default dataset to get the boundaries +default_ds = datasets.load_dataset( + "proxima-fusion/constellaration", + split="train", + num_proc=4, +) + +# Load finite beta 3% dataset +finite_beta_3pct_ds = datasets.load_dataset( + "proxima-fusion/constellaration", + name="finite_beta_3pct", + split="train", + num_proc=4, +) + +# Join the two datasets on plasma_config_id <-> misc.source_plasma_config_id +default_df = ( + default_ds + .to_pandas() + .set_index("plasma_config_id") + .filter(like="boundary.") +) +finite_beta_3pct_df = ( + finite_beta_3pct_ds + .to_pandas() + .set_index("misc.source_plasma_config_id") +) +finite_beta_3pct_with_boundaries_df = ( + finite_beta_3pct_df + .join(default_df, how="inner") # joins on index + .reset_index(names="misc.source_plasma_config_id") +) +``` + +## 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{cadena2025constellaration, + title={ConStellaration: A dataset of QI-like stellarator plasma boundaries and optimization benchmarks}, + author={Cadena, Santiago A and Merlo, Andrea and Laude, Emanuel and Bauer, Alexander and Agrawal, Atul and Pascu, Maria and Savtchouk, Marija and Guiraud, Enrico and Bonauer, Lukas and Hudson, Stuart and others}, + journal={arXiv preprint arXiv:2506.19583}, + year={2025} +} +``` + +## Glossary + + + +| Abbreviation | Expansion | +| -------- | ------- | +| QI | Quasi-Isodynamic(ity) | +| MHD | Magneto-Hydrodynamic | +| [DESC](https://desc-docs.readthedocs.io/en/stable/) | Dynamical Equilibrium Solver for Confinement | +| VMEC/[VMEC++](https://github.com/proximafusion/vmecpp) | 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. 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