1{
 2  "device": "cuda",
 3  "math_check": {
 4    "closed_residual": 0.0,
 5    "coclosed_residual": 1.0385185452638061e-16,
 6    "weighted_orthonormality": 1.0,
 7    "max_gauge_residual": 6.661338147750939e-16,
 8    "max_reconstruction_residual": 2.220446049250313e-16,
 9    "period_basis_residual": 0.0
10  },
11  "results": {
12    "baseline": {
13      "field_rmse": 0.1842520833015442,
14      "period_rmse": 0.8797605037689209,
15      "far_edge_rmse": 0.20344200730323792,
16      "parameters": 2497
17    },
18    "harmonic": {
19      "field_rmse": 0.021079756319522858,
20      "period_rmse": 0.10729455202817917,
21      "far_edge_rmse": 0.018807608634233475,
22      "parameters": 3122
23    }
24  },
25  "setup": "24-edge weighted cycle with no 2-simplices; source scalar at one node; randomized global harmonic circulation target; 4 message-passing layers; 700 Adam steps; harmonic head has 3122 vs baseline 2497 parameters"
26}