{ "adapter": "passive_scalar_coarse", "field_kind": "signed", "quantile": 0.9999, "clip_c": 1.1251138597965493, "range": [ -1.1251138597965493, 1.1251138597965493 ], "n_train_states": 65600, "field_shape": [ 128, 128 ], "pixel_stride": 4, "n_pixel_values": 67174400, "map": "uint8 = rint((clip(w,-c,c)+c)/(2c)*255)", "channels": "3 identical (grayscale scalar field), no colormap", "source": { "packaged_dataset_path": "", "block": "vecs_train", "ics": "canonical rows 0..79", "members": "j < 20", "snapshots": "all", "pixel_stride": 4, "n_states": 65600, "rule": "training data only; validation, test and generated data never enter" }, "state": "196-D coarse spectral passive scalar (98 complex modes |k| <= 8, Hermitian half, theta_hat / N^2)", "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(|theta|) over the training pool", "physical_diagnostic": "scalar_variance_ratio = mean_gen sum|theta_hat_k|^2 / mean_truth sum|theta_hat_k|^2" }