{
  "device": "cuda",
  "math_check": {
    "closed_residual": 0.0,
    "coclosed_residual": 1.0385185452638061e-16,
    "weighted_orthonormality": 1.0,
    "max_gauge_residual": 6.661338147750939e-16,
    "max_reconstruction_residual": 2.220446049250313e-16,
    "period_basis_residual": 0.0
  },
  "results": {
    "baseline": {
      "field_rmse": 0.1842520833015442,
      "period_rmse": 0.8797605037689209,
      "far_edge_rmse": 0.20344200730323792,
      "parameters": 2497
    },
    "harmonic": {
      "field_rmse": 0.021079756319522858,
      "period_rmse": 0.10729455202817917,
      "far_edge_rmse": 0.018807608634233475,
      "parameters": 3122
    }
  },
  "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"
}