Exact Neural de Rham Backbone / results.json
Mechanism confirmed, baseline not beaten
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}