{
 "adapter": "heterogeneous_waves_augmented_coarse",
 "field_kind": "signed",
 "quantile": 0.9999,
 "clip_c": 2.3817124402523167,
 "range": [
  -2.3817124402523167,
  2.3817124402523167
 ],
 "n_train_states": 1600,
 "field_shape": [
  128,
  128
 ],
 "pixel_stride": 1,
 "n_pixel_values": 26214400,
 "map": "uint8 = rint((clip(w,-c,c)+c)/(2c)*255)",
 "channels": "3 identical (grayscale scalar field), no colormap",
 "source": {
  "packaged_dataset_path": "<dataset>",
  "block": "vecs_train",
  "ics": "canonical rows 0..79",
  "members": "j < 20",
  "snapshots": [
   40
  ],
  "pixel_stride": 1,
  "n_states": 1600,
  "rule": "training data only; validation, test and generated data never enter"
 },
 "state": "392-D augmented state (196-D coarse displacement u + 196-D finite-difference coarse velocity v_hat); this adapter reads ONLY the first 196 (displacement) coordinates -- identical reconstruction to heterogeneous_waves_coarse",
 "reconstruction": "exact inverse FFT of the |k| <= 8 modes on a 128x128 grid (alias-free)",
 "n_disp": 128,
 "k_c": 8,
 "clip": "symmetric [-c, c], c = Q_q(|u|) over the training pool",
 "physical_diagnostic": "displacement_variance_ratio = mean_gen sum|u_hat_k|^2 / mean_truth sum|u_hat_k|^2; gradient_energy_ratio = mean_gen sum|k|^2|u_hat_k|^2 / mean_truth sum|k|^2|u_hat_k|^2"
}