Exact Neural de Rham Backbone / results.json

Mechanism confirmed, baseline not beaten

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 1{
 2  "device": "cuda",
 3  "math": {
 4    "nilpotence_max_abs": 0.0,
 5    "derivative_identity_max_abs": 0.0,
 6    "scale_sweep": [
 7      {
 8        "scale": 0.25,
 9        "K0_norm": 0.24999999999999997,
10        "K1K0_max": 0.0
11      },
12      {
13        "scale": 0.5,
14        "K0_norm": 0.49999999999999994,
15        "K1K0_max": 0.0
16      },
17      {
18        "scale": 1.0,
19        "K0_norm": 0.9999999999999999,
20        "K1K0_max": 0.0
21      },
22      {
23        "scale": 2.0,
24        "K0_norm": 1.9999999999999998,
25        "K1K0_max": 0.0
26      },
27      {
28        "scale": 4.0,
29        "K0_norm": 3.9999999999999996,
30        "K1K0_max": 0.0
31      }
32    ],
33    "loglog_scaling_exponent_observed": 1.0,
34    "predicted_scaling_exponent": 1.0
35  },
36  "comparison": {
37    "exact_params": 28,
38    "mlp_params": 722,
39    "exact_mse": 0.259014390706531,
40    "mlp_mse": 0.001457979094334472,
41    "exact_curl_rms": 4.537421195513984e-16,
42    "mlp_curl_rms": 0.7164537548258979
43  }
44}