{
  "scope": "Supplied-point functionality and checkpoint inference check, not a paper accuracy benchmark.",
  "device": "cpu",
  "torch": "2.14.1+cu130",
  "configuration": {
    "shape": "Interval",
    "x_min": 0.0,
    "x_max": 1.0,
    "y_min": 0.0,
    "y_max": 1.0,
    "t_min": 0.0,
    "t_max": 1.0,
    "cylinder_x": 0.2,
    "cylinder_y": 0.2,
    "cylinder_radius": 0.05,
    "fourth_order": 0.00152587890625,
    "startup_time": 0.1,
    "points": 32,
    "boundary_points": 16,
    "adaptive_sampling": {},
    "sampling": "grid",
    "seed": 7,
    "source": 2.0,
    "layers": [
      16,
      16
    ],
    "iterations": 100,
    "lr": 0.005,
    "device": "cpu",
    "loss_formulation": "mean",
    "pde_weight": 1.0,
    "boundary_weight": 10.0,
    "bc_types": {
      "left": "Dirichlet",
      "right": "Dirichlet",
      "bottom": "Dirichlet",
      "top": "Dirichlet"
    },
    "bc_values": {
      "left": 0.0,
      "right": 0.0,
      "bottom": 0.0,
      "top": 0.0
    },
    "boundary_sampling": {},
    "pde_expression": "",
    "bc_targets": {},
    "bc_operators": {},
    "interior_data": {},
    "boundary_data": {},
    "network_seed": null,
    "method": "baseline",
    "expert_settings": {
      "chunks": 8,
      "causal_epsilon": 1.0,
      "balance_every": 1000,
      "momentum": 0.9,
      "decay_rate": 0.9,
      "decay_steps": 2000,
      "gradient_floor": 1e-12,
      "weight_cap": 1000000.0,
      "balance_mode": "gradient",
      "ntk_points": 16,
      "windows": 1,
      "window_steps": 1000
    },
    "physics": "scalar",
    "viscosity": 0.01,
    "flow_residuals": [
      "u*D(u,x)+v*D(u,y)+D(p,x)-nu*laplace(u)",
      "u*D(v,x)+v*D(v,y)+D(p,y)-nu*laplace(v)",
      "D(u,x)+D(v,y)"
    ],
    "flow_boundary": {
      "left": {
        "u": {
          "type": "Dirichlet",
          "target": "y",
          "operator": ""
        },
        "v": {
          "type": "Dirichlet",
          "target": "0",
          "operator": ""
        }
      },
      "right": {
        "u": {
          "type": "Dirichlet",
          "target": "y",
          "operator": ""
        },
        "v": {
          "type": "Dirichlet",
          "target": "0",
          "operator": ""
        }
      },
      "bottom": {
        "u": {
          "type": "Dirichlet",
          "target": "y",
          "operator": ""
        },
        "v": {
          "type": "Dirichlet",
          "target": "0",
          "operator": ""
        }
      },
      "top": {
        "u": {
          "type": "Dirichlet",
          "target": "y",
          "operator": ""
        },
        "v": {
          "type": "Dirichlet",
          "target": "0",
          "operator": ""
        }
      }
    },
    "pressure_point": [
      0.0,
      0.0
    ],
    "pressure_value": 0.0,
    "pressure_weight": 1.0,
    "pde_preset": "poisson",
    "pde_forcing": "0",
    "sa_lr": 0.005,
    "sa_initial": 1.0,
    "sa_max": 1000.0,
    "sa_boundary": false,
    "lra_alpha": 0.9,
    "lra_interval": 10,
    "lra_epsilon": 1e-12,
    "lra_max": 1000000.0,
    "network_type": "fcnn",
    "network_options": {},
    "scale_settings": {
      "tau_sc": 0.45,
      "tau_alpha": 1.5,
      "gamma": 0.0001,
      "strength": 1.0,
      "fresh": true
    }
  },
  "training_steps": 100,
  "evaluation_optimizer_updates": 0,
  "trained_state_unchanged": true,
  "points": [
    [
      0.75
    ],
    [
      0.0
    ],
    [
      0.25
    ],
    [
      1.0
    ]
  ],
  "point_ids": [
    "node-B",
    "node-A",
    "node-D",
    "node-C"
  ],
  "predictions": [
    0.18802225589752197,
    -0.00916413962841034,
    0.19052281975746155,
    0.017586946487426758
  ],
  "reference": [
    0.1875,
    0.0,
    0.1875,
    0.0
  ],
  "rmse": 0.01003359771454399,
  "max_error": 0.017586946487426758,
  "evaluation": {
    "kind": "supplied",
    "source_name": "supplied-points.csv",
    "sha256": "b4c54c80654e10e8c9edd9729610177b9b5b5f5e60eda0a9ea735e1235a0a31e"
  },
  "reference_provenance": {
    "kind": "supplied",
    "source_name": "reference-values.csv",
    "sha256": "efee702c919bafae11aee69f5e5f32248fcb96759be3538a2d94101405742ed6"
  },
  "exports": [
    "comparison.csv",
    "comparison.vtu"
  ]
}