{ "math": { "true_alpha": 0.7, "fitted_alpha": 0.7, "true_beta": 0.62, "fitted_beta": 0.6199999999977361, "amplitude_abs_error": 0.0, "width_abs_error": 2.2638557695131567e-12, "rg_L": [ 1.25, 1.5, 2.0, 3.0 ], "rg_exact_residual": [ 1.7330834682522382e-16, 1.7643127609576256e-16, 1.3580559542509378e-16, 1.9987542215662536e-16 ], "rg_wrong_eta_residual": [ 0.15916303759626838, 0.3061545083459753, 0.5730789317403018, 1.0350823782691672 ], "predictions": [ "log peak amplitude slope equals alpha", "log profile width slope equals beta", "matched RG rescaling gives zero residual while eta/L does not" ] }, "mini_experiment": { "device": "cpu", "baseline": { "accuracy": 1.0, "loss": 0.03184313699603081 }, "idea": { "accuracy": 0.776, "loss": 0.41361381113529205 }, "train_size": 1600, "validation_size": 500 } }