{
    "meta":  {
                 "generated_at_utc":  "2026-02-24T16:22:56.225154+00:00",
                 "manifest":  "interaction_holdout_protocol_v1",
                 "protocol":  "S3_interaction_holdout",
                 "validation_data":  "materials_validation_dataset_v1",
                 "adapters":  [
                                  "flux"
                              ],
                 "resolved_adapters":  [
                                           "flux"
                                       ],
                 "selected_fold_ids":  "all",
                 "num_folds":  15,
                 "holdout_mode":  "strict"
             },
    "fold_results":  [
                         {
                             "fold_id":  "itype:AA",
                             "holdout_key":  "AA",
                             "holdout_size":  5,
                             "train_size":  175,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  5,
                                                                                 "N_pred":  5,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.022898467536293765,
                                                                                 "MAPE":  0.5025418004312263,
                                                                                 "median_APE":  0.4513497365000063,
                                                                                 "p90_AE":  0.053705456696783394
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  5,
                                                                                     "N_pred":  5,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  1.1480574488084272,
                                                                                     "MAPE":  1.6117829069623213,
                                                                                     "median_APE":  1.1920405709748434,
                                                                                     "p90_AE":  2.503056347616784
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  5,
                                                                                       "N_pred":  5,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  8.17338784995702,
                                                                                       "MAPE":  0.37328627305796785,
                                                                                       "median_APE":  0.23458023201264536,
                                                                                       "p90_AE":  12.382873359003497
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  5,
                                                                                         "N_pred":  5,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.07599740325030165,
                                                                                         "MAPE":  4.67949729642874,
                                                                                         "median_APE":  1.6626107901206408,
                                                                                         "p90_AE":  0.20849309004446526
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  5,
                                                                                      "N_pred":  5,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.18618356044228362,
                                                                                      "MAPE":  0.2161895236248046,
                                                                                      "median_APE":  0.18211430298415815,
                                                                                      "p90_AE":  0.3371364938695933
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  25,
                                                                  "overall_MAPE":  1.4766595601010115,
                                                                  "overall_median_APE":  0.3966311692583451
                                                              },
                                                "runtime":  {
                                                                "N_calls":  5,
                                                                "mean_ms":  0.41865999810397625,
                                                                "p95_ms":  0.7796999998390675
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:AEAE",
                             "holdout_key":  "AEAE",
                             "holdout_size":  5,
                             "train_size":  175,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  5,
                                                                                 "N_pred":  5,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.36514571345523594,
                                                                                 "MAPE":  3.0664980809419005,
                                                                                 "median_APE":  1.37538420876175,
                                                                                 "p90_AE":  0.7262176894692374
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  5,
                                                                                     "N_pred":  5,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  19.374977389405338,
                                                                                     "MAPE":  5.1238646000152706,
                                                                                     "median_APE":  2.9697806670058178,
                                                                                     "p90_AE":  55.32093578980965
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  5,
                                                                                       "N_pred":  5,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  310.43464080414805,
                                                                                       "MAPE":  3.5078294548270974,
                                                                                       "median_APE":  0.8454420291427878,
                                                                                       "p90_AE":  1035.5927965410738
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  5,
                                                                                         "N_pred":  5,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.0127025073358356,
                                                                                         "MAPE":  0.5008869035372305,
                                                                                         "median_APE":  0.7036185623285436,
                                                                                         "p90_AE":  0.02505592950080837
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  5,
                                                                                      "N_pred":  5,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  16.04162021606937,
                                                                                      "MAPE":  9.224753462110524,
                                                                                      "median_APE":  0.4117241075467502,
                                                                                      "p90_AE":  40.465204646067974
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  25,
                                                                  "overall_MAPE":  4.284766500286405,
                                                                  "overall_median_APE":  0.8454420291427878
                                                              },
                                                "runtime":  {
                                                                "N_calls":  5,
                                                                "mean_ms":  0.20587999606505036,
                                                                "p95_ms":  0.21819997346028686
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:AEC",
                             "holdout_key":  "AEC",
                             "holdout_size":  20,
                             "train_size":  160,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  20,
                                                                                 "N_pred":  20,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.3205058901235388,
                                                                                 "MAPE":  0.42378830170823195,
                                                                                 "median_APE":  0.31968200382506906,
                                                                                 "p90_AE":  0.6158795352756954
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  20,
                                                                                     "N_pred":  20,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  6.799290767177124,
                                                                                     "MAPE":  1.3009330945596147,
                                                                                     "median_APE":  0.5720304380027326,
                                                                                     "p90_AE":  17.06973290001997
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  20,
                                                                                       "N_pred":  20,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  90.08312162089061,
                                                                                       "MAPE":  1.6532555389571595,
                                                                                       "median_APE":  1.1377531374156737,
                                                                                       "p90_AE":  159.64982628641155
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  20,
                                                                                         "N_pred":  20,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.025321660480428367,
                                                                                         "MAPE":  0.5682796686655969,
                                                                                         "median_APE":  0.37226794964137555,
                                                                                         "p90_AE":  0.0677179882481278
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  5,
                                                                                      "N_pred":  5,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.07394439499932207,
                                                                                      "MAPE":  0.13505345292839174,
                                                                                      "median_APE":  0.0640881245598616,
                                                                                      "p90_AE":  0.22216417024657176
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  85,
                                                                  "overall_MAPE":  0.9364752863818119,
                                                                  "overall_median_APE":  0.5073275534509212
                                                              },
                                                "runtime":  {
                                                                "N_calls":  20,
                                                                "mean_ms":  0.3045399993425235,
                                                                "p95_ms":  0.3220000071451068
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:AEX",
                             "holdout_key":  "AEX",
                             "holdout_size":  4,
                             "train_size":  176,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  4,
                                                                                 "N_pred":  4,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.058620528951491835,
                                                                                 "MAPE":  0.07086709574117808,
                                                                                 "median_APE":  0.06956971805781448,
                                                                                 "p90_AE":  0.13474776944477185
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  4,
                                                                                     "N_pred":  4,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  3.7791731835689717,
                                                                                     "MAPE":  0.9209179815261884,
                                                                                     "median_APE":  0.9587339958185626,
                                                                                     "p90_AE":  4.606126488759969
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  4,
                                                                                       "N_pred":  4,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  19.49242910862472,
                                                                                       "MAPE":  0.3667313468608408,
                                                                                       "median_APE":  0.25987926349257806,
                                                                                       "p90_AE":  46.641171887393284
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  4,
                                                                                         "N_pred":  4,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.0136576156123146,
                                                                                         "MAPE":  0.3227239703801391,
                                                                                         "median_APE":  0.18275660254483939,
                                                                                         "p90_AE":  0.03736439073083009
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  4,
                                                                                      "N_pred":  4,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.02517168267759784,
                                                                                      "MAPE":  0.24654380958395822,
                                                                                      "median_APE":  0.2814412816568283,
                                                                                      "p90_AE":  0.03439509701344434
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  20,
                                                                  "overall_MAPE":  0.3855568408184609,
                                                                  "overall_median_APE":  0.26207211235218963
                                                              },
                                                "runtime":  {
                                                                "N_calls":  4,
                                                                "mean_ms":  0.2662999904714525,
                                                                "p95_ms":  0.31599996145814657
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:AX",
                             "holdout_key":  "AX",
                             "holdout_size":  20,
                             "train_size":  160,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  20,
                                                                                 "N_pred":  20,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.11683807959723662,
                                                                                 "MAPE":  0.5304746875935853,
                                                                                 "median_APE":  0.453440827489514,
                                                                                 "p90_AE":  0.25343203767567957
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  20,
                                                                                     "N_pred":  20,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  6.862521824479484,
                                                                                     "MAPE":  2.633732940543207,
                                                                                     "median_APE":  2.1257327477783514,
                                                                                     "p90_AE":  9.875266516182535
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  20,
                                                                                       "N_pred":  20,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  26.239877625603448,
                                                                                       "MAPE":  0.7766905596985743,
                                                                                       "median_APE":  0.6612282715929227,
                                                                                       "p90_AE":  48.15274290924981
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  20,
                                                                                         "N_pred":  20,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.03464343374377321,
                                                                                         "MAPE":  1.079036940442693,
                                                                                         "median_APE":  0.9149620625216637,
                                                                                         "p90_AE":  0.0733606463534926
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  20,
                                                                                      "N_pred":  20,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.025066694917451737,
                                                                                      "MAPE":  0.7248512324300987,
                                                                                      "median_APE":  0.39790522499378256,
                                                                                      "p90_AE":  0.04100065813848275
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  100,
                                                                  "overall_MAPE":  1.1489572721416317,
                                                                  "overall_median_APE":  0.6732846033263149
                                                              },
                                                "runtime":  {
                                                                "N_calls":  20,
                                                                "mean_ms":  0.40983499493449926,
                                                                "p95_ms":  0.46660000225529075
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:BB",
                             "holdout_key":  "BB",
                             "holdout_size":  6,
                             "train_size":  174,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  6,
                                                                                 "N_pred":  6,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.8555615610000432,
                                                                                 "MAPE":  0.5423092163106128,
                                                                                 "median_APE":  0.5121350055603939,
                                                                                 "p90_AE":  2.698842222069942
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  6,
                                                                                     "N_pred":  6,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  44.95289432908396,
                                                                                     "MAPE":  5.264431130826684,
                                                                                     "median_APE":  4.891861682729907,
                                                                                     "p90_AE":  138.91487425117225
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  6,
                                                                                       "N_pred":  6,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  209.43192016087724,
                                                                                       "MAPE":  2.562565059690638,
                                                                                       "median_APE":  1.4096483410477225,
                                                                                       "p90_AE":  765.2469927648126
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  6,
                                                                                         "N_pred":  6,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.17276523914231112,
                                                                                         "MAPE":  4.918058588696042,
                                                                                         "median_APE":  0.6236050401447488,
                                                                                         "p90_AE":  0.6350421980824432
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  6,
                                                                                      "N_pred":  6,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  10.8938414156542,
                                                                                      "MAPE":  3.1085476521086517,
                                                                                      "median_APE":  0.27332336720291533,
                                                                                      "p90_AE":  60.910830754584595
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  30,
                                                                  "overall_MAPE":  3.2791823295265257,
                                                                  "overall_median_APE":  0.654786581729828
                                                              },
                                                "runtime":  {
                                                                "N_calls":  6,
                                                                "mean_ms":  0.2564333068827788,
                                                                "p95_ms":  0.2703999634832144
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:BC",
                             "holdout_key":  "BC",
                             "holdout_size":  10,
                             "train_size":  170,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  10,
                                                                                 "N_pred":  10,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.29204219914433055,
                                                                                 "MAPE":  0.48630623105151205,
                                                                                 "median_APE":  0.2704627341088983,
                                                                                 "p90_AE":  0.8996956914278158
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  10,
                                                                                     "N_pred":  10,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  1.0550957624475188,
                                                                                     "MAPE":  0.532872325208934,
                                                                                     "median_APE":  0.4834524896344532,
                                                                                     "p90_AE":  2.0004660868385713
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  10,
                                                                                       "N_pred":  10,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  18.169260971825953,
                                                                                       "MAPE":  0.6504548341559809,
                                                                                       "median_APE":  0.733987345541202,
                                                                                       "p90_AE":  37.01922047298149
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  9,
                                                                                         "N_pred":  9,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.03796800387662764,
                                                                                         "MAPE":  0.5284131605208915,
                                                                                         "median_APE":  0.6281421145619809,
                                                                                         "p90_AE":  0.08956330016953018
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  10,
                                                                                      "N_pred":  10,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.014937261502460464,
                                                                                      "MAPE":  0.2759995643426866,
                                                                                      "median_APE":  0.14835385104006762,
                                                                                      "p90_AE":  0.01967732302722469
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  49,
                                                                  "overall_MAPE":  0.49412342841386037,
                                                                  "overall_median_APE":  0.4528744259396171
                                                              },
                                                "runtime":  {
                                                                "N_calls":  10,
                                                                "mean_ms":  0.3473799966741353,
                                                                "p95_ms":  0.37650001468136907
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:DB",
                             "holdout_key":  "DB",
                             "holdout_size":  6,
                             "train_size":  174,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  6,
                                                                                 "N_pred":  6,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  1.293658131109699,
                                                                                 "MAPE":  0.46727085195025714,
                                                                                 "median_APE":  0.42004788727129844,
                                                                                 "p90_AE":  2.5935830370968915
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  6,
                                                                                     "N_pred":  6,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  3.208625197100711,
                                                                                     "MAPE":  0.48740668983245783,
                                                                                     "median_APE":  0.2116317424754064,
                                                                                     "p90_AE":  8.701700171593075
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  6,
                                                                                       "N_pred":  6,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  41.9606565190746,
                                                                                       "MAPE":  0.608859616057773,
                                                                                       "median_APE":  0.6826228497096611,
                                                                                       "p90_AE":  75.65598432680054
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  6,
                                                                                         "N_pred":  6,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.05134028742797062,
                                                                                         "MAPE":  0.5763667573749796,
                                                                                         "median_APE":  0.6197556380982128,
                                                                                         "p90_AE":  0.08907092203578948
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  6,
                                                                                      "N_pred":  6,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.027197119229012873,
                                                                                      "MAPE":  0.1298221766673276,
                                                                                      "median_APE":  0.12831625672990432,
                                                                                      "p90_AE":  0.051231769918182124
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  30,
                                                                  "overall_MAPE":  0.453945218376559,
                                                                  "overall_median_APE":  0.2522638154465719
                                                              },
                                                "runtime":  {
                                                                "N_calls":  6,
                                                                "mean_ms":  0.3310999891255051,
                                                                "p95_ms":  0.37539994809776545
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:DC",
                             "holdout_key":  "DC",
                             "holdout_size":  37,
                             "train_size":  143,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  37,
                                                                                 "N_pred":  31,
                                                                                 "coverage_pct":  83.78378378378379,
                                                                                 "MAE":  3.075903254729915,
                                                                                 "MAPE":  2.2969130057929856,
                                                                                 "median_APE":  1.8834081835023977,
                                                                                 "p90_AE":  5.827982916661739
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  37,
                                                                                     "N_pred":  31,
                                                                                     "coverage_pct":  83.78378378378379,
                                                                                     "MAE":  5.355140378928058,
                                                                                     "MAPE":  1.5040373865770957,
                                                                                     "median_APE":  0.9902699982471586,
                                                                                     "p90_AE":  10.191695072075959
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  37,
                                                                                       "N_pred":  31,
                                                                                       "coverage_pct":  83.78378378378379,
                                                                                       "MAE":  170.76957441491874,
                                                                                       "MAPE":  4.234751947248726,
                                                                                       "median_APE":  2.8568244621250605,
                                                                                       "p90_AE":  442.0469318202695
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  36,
                                                                                         "N_pred":  30,
                                                                                         "coverage_pct":  83.33333333333333,
                                                                                         "MAE":  0.10250021914166986,
                                                                                         "MAPE":  1.7933263458055135,
                                                                                         "median_APE":  1.2502408126391726,
                                                                                         "p90_AE":  0.20660062218947228
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  37,
                                                                                      "N_pred":  31,
                                                                                      "coverage_pct":  83.78378378378379,
                                                                                      "MAE":  0.39021564734341496,
                                                                                      "MAPE":  2.5276474641913804,
                                                                                      "median_APE":  1.3955436819439548,
                                                                                      "p90_AE":  0.940813063070788
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  154,
                                                                  "overall_MAPE":  2.4757378850148117,
                                                                  "overall_median_APE":  1.4312761738975723
                                                              },
                                                "runtime":  {
                                                                "N_calls":  37,
                                                                "mean_ms":  0.34851891561285464,
                                                                "p95_ms":  0.43569999979808927
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:DD",
                             "holdout_key":  "DD",
                             "holdout_size":  26,
                             "train_size":  154,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  26,
                                                                                 "N_pred":  26,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  1.180268715569918,
                                                                                 "MAPE":  0.5479639500734647,
                                                                                 "median_APE":  0.3879440265418596,
                                                                                 "p90_AE":  3.3305266103651263
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  26,
                                                                                     "N_pred":  26,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  3.5016429356111782,
                                                                                     "MAPE":  0.9577094458184734,
                                                                                     "median_APE":  0.5163054581397841,
                                                                                     "p90_AE":  9.179566014555633
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  26,
                                                                                       "N_pred":  26,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  37.83581657570518,
                                                                                       "MAPE":  0.7633329390161477,
                                                                                       "median_APE":  0.4212962117834183,
                                                                                       "p90_AE":  93.90545591473983
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  26,
                                                                                         "N_pred":  26,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.1797154764361131,
                                                                                         "MAPE":  1.6676421315074397,
                                                                                         "median_APE":  0.5318852081939632,
                                                                                         "p90_AE":  0.5464555482182138
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  26,
                                                                                      "N_pred":  26,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.6409500784041391,
                                                                                      "MAPE":  0.5055531649936849,
                                                                                      "median_APE":  0.4985429372889705,
                                                                                      "p90_AE":  0.8836366679955745
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  130,
                                                                  "overall_MAPE":  0.8884403262818417,
                                                                  "overall_median_APE":  0.47724413455608167
                                                              },
                                                "runtime":  {
                                                                "N_calls":  26,
                                                                "mean_ms":  0.41056923621978897,
                                                                "p95_ms":  0.4385000211186707
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:DP",
                             "holdout_key":  "DP",
                             "holdout_size":  8,
                             "train_size":  172,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  8,
                                                                                 "N_pred":  8,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  2.0412345219213996,
                                                                                 "MAPE":  0.6950281309492373,
                                                                                 "median_APE":  0.7359780945337875,
                                                                                 "p90_AE":  5.148743358273066
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  8,
                                                                                     "N_pred":  8,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  4.4376555958361195,
                                                                                     "MAPE":  0.7609627547573299,
                                                                                     "median_APE":  0.456989605713245,
                                                                                     "p90_AE":  8.28373467740846
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  8,
                                                                                       "N_pred":  8,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  27.54388395713852,
                                                                                       "MAPE":  0.3882781387071762,
                                                                                       "median_APE":  0.09224574853623824,
                                                                                       "p90_AE":  173.23719159018674
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  8,
                                                                                         "N_pred":  8,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.046105716640125416,
                                                                                         "MAPE":  0.5531325208952625,
                                                                                         "median_APE":  0.6016019394047357,
                                                                                         "p90_AE":  0.12040226497942719
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  8,
                                                                                      "N_pred":  8,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.07769364805048562,
                                                                                      "MAPE":  0.613976309920304,
                                                                                      "median_APE":  0.4075477186976324,
                                                                                      "p90_AE":  0.2481639123000683
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  40,
                                                                  "overall_MAPE":  0.602275571045862,
                                                                  "overall_median_APE":  0.44903205570664706
                                                              },
                                                "runtime":  {
                                                                "N_calls":  8,
                                                                "mean_ms":  0.3333000131533481,
                                                                "p95_ms":  0.3633000305853784
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:DX",
                             "holdout_key":  "DX",
                             "holdout_size":  9,
                             "train_size":  171,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  9,
                                                                                 "N_pred":  9,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.3203053946349262,
                                                                                 "MAPE":  0.5025630124718834,
                                                                                 "median_APE":  0.34704174252289693,
                                                                                 "p90_AE":  1.0793723392249888
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  9,
                                                                                     "N_pred":  9,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  1.6326817045089936,
                                                                                     "MAPE":  0.5718847655272407,
                                                                                     "median_APE":  0.46490646106458433,
                                                                                     "p90_AE":  5.343518254647108
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  9,
                                                                                       "N_pred":  9,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  21.305227369833826,
                                                                                       "MAPE":  0.6443531168257348,
                                                                                       "median_APE":  0.653277445917035,
                                                                                       "p90_AE":  51.572016229831206
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  9,
                                                                                         "N_pred":  9,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.024369910578937965,
                                                                                         "MAPE":  0.5054152153487502,
                                                                                         "median_APE":  0.6235715027064994,
                                                                                         "p90_AE":  0.039186459365780024
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  9,
                                                                                      "N_pred":  9,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.004668082773847732,
                                                                                      "MAPE":  0.30080309548593587,
                                                                                      "median_APE":  0.2102552030137872,
                                                                                      "p90_AE":  0.011396352500807616
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  45,
                                                                  "overall_MAPE":  0.5050038411319091,
                                                                  "overall_median_APE":  0.3759155057811995
                                                              },
                                                "runtime":  {
                                                                "N_calls":  9,
                                                                "mean_ms":  0.37126668030396104,
                                                                "p95_ms":  0.3850000211969018
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:EC",
                             "holdout_key":  "EC",
                             "holdout_size":  3,
                             "train_size":  177,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  3,
                                                                                 "N_pred":  3,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.5207236941224949,
                                                                                 "MAPE":  0.2464184639826026,
                                                                                 "median_APE":  0.18243745584679527,
                                                                                 "p90_AE":  0.985078370182265
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  2,
                                                                                     "N_pred":  2,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  0.8443412679228857,
                                                                                     "MAPE":  0.20284723183138453,
                                                                                     "median_APE":  0.20284723183138453,
                                                                                     "p90_AE":  1.5972772666186188
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  2,
                                                                                       "N_pred":  2,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  20.80851125054801,
                                                                                       "MAPE":  0.49177651746510503,
                                                                                       "median_APE":  0.49177651746510503,
                                                                                       "p90_AE":  35.51246799329738
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  3,
                                                                                         "N_pred":  3,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.023698638143991424,
                                                                                         "MAPE":  0.5605658702947556,
                                                                                         "median_APE":  0.10122758365825937,
                                                                                         "p90_AE":  0.059564902341208814
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  3,
                                                                                      "N_pred":  3,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  0.09126931715838123,
                                                                                      "MAPE":  0.331174966003547,
                                                                                      "median_APE":  0.13048158535738708,
                                                                                      "p90_AE":  0.2525348845353754
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  13,
                                                                  "overall_MAPE":  0.36951733841813034,
                                                                  "overall_median_APE":  0.1689918061079948
                                                              },
                                                "runtime":  {
                                                                "N_calls":  3,
                                                                "mean_ms":  0.26566667171816033,
                                                                "p95_ms":  0.28229999588802457
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:EE",
                             "holdout_key":  "EE",
                             "holdout_size":  3,
                             "train_size":  177,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  3,
                                                                                 "N_pred":  3,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  2.7594452057514736,
                                                                                 "MAPE":  6.178387223380582,
                                                                                 "median_APE":  1.9310894321581735,
                                                                                 "p90_AE":  6.745389977133932
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  3,
                                                                                     "N_pred":  3,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  2.81793616241427,
                                                                                     "MAPE":  2.8419203406116735,
                                                                                     "median_APE":  4.078337310353873,
                                                                                     "p90_AE":  4.658529872163172
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  3,
                                                                                       "N_pred":  3,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  91.58376404078888,
                                                                                       "MAPE":  1.7531603149255612,
                                                                                       "median_APE":  0.8349333498321312,
                                                                                       "p90_AE":  262.14243408191123
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  3,
                                                                                         "N_pred":  3,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.11240238437161354,
                                                                                         "MAPE":  2.0373027724923447,
                                                                                         "median_APE":  1.6338712572506746,
                                                                                         "p90_AE":  0.19361374398420494
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  3,
                                                                                      "N_pred":  3,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  8.56798424961795,
                                                                                      "MAPE":  3.7959028654814677,
                                                                                      "median_APE":  0.41311381515515955,
                                                                                      "p90_AE":  25.209957798874115
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  15,
                                                                  "overall_MAPE":  3.3213347033783256,
                                                                  "overall_median_APE":  1.6338712572506746
                                                              },
                                                "runtime":  {
                                                                "N_calls":  3,
                                                                "mean_ms":  0.21960000352313122,
                                                                "p95_ms":  0.23860001238062978
                                                            }
                                            }
                                        ]
                         },
                         {
                             "fold_id":  "itype:EP",
                             "holdout_key":  "EP",
                             "holdout_size":  13,
                             "train_size":  167,
                             "models":  [
                                            {
                                                "model":  "flux",
                                                "properties":  {
                                                                   "B_GPa":  {
                                                                                 "N_truth":  13,
                                                                                 "N_pred":  13,
                                                                                 "coverage_pct":  100.0,
                                                                                 "MAE":  0.8398232385688572,
                                                                                 "MAPE":  0.6594880606274695,
                                                                                 "median_APE":  0.6668226199642905,
                                                                                 "p90_AE":  1.9788405088311833
                                                                             },
                                                                   "theta_D_K":  {
                                                                                     "N_truth":  13,
                                                                                     "N_pred":  13,
                                                                                     "coverage_pct":  100.0,
                                                                                     "MAE":  6.733635339480504,
                                                                                     "MAPE":  1.160967901864664,
                                                                                     "median_APE":  0.829777427667705,
                                                                                     "p90_AE":  16.453626509648984
                                                                                 },
                                                                   "v_sound_m_s":  {
                                                                                       "N_truth":  13,
                                                                                       "N_pred":  13,
                                                                                       "coverage_pct":  100.0,
                                                                                       "MAE":  41.196974856726264,
                                                                                       "MAPE":  0.6838079450149916,
                                                                                       "median_APE":  0.6409232665658859,
                                                                                       "p90_AE":  58.13515060954796
                                                                                   },
                                                                   "density_g_cm3":  {
                                                                                         "N_truth":  8,
                                                                                         "N_pred":  8,
                                                                                         "coverage_pct":  100.0,
                                                                                         "MAE":  0.026793985142634424,
                                                                                         "MAPE":  0.6572797903427252,
                                                                                         "median_APE":  0.7937559249499168,
                                                                                         "p90_AE":  0.061041226656319836
                                                                                     },
                                                                   "kappa_W_mK":  {
                                                                                      "N_truth":  13,
                                                                                      "N_pred":  13,
                                                                                      "coverage_pct":  100.0,
                                                                                      "MAE":  2.321982874715604,
                                                                                      "MAPE":  0.8021863262517018,
                                                                                      "median_APE":  0.5207189498670878,
                                                                                      "p90_AE":  4.74644048209035
                                                                                  }
                                                               },
                                                "aggregate":  {
                                                                  "N_points":  60,
                                                                  "overall_MAPE":  0.8040348560267758,
                                                                  "overall_median_APE":  0.676911064689683
                                                              },
                                                "runtime":  {
                                                                "N_calls":  13,
                                                                "mean_ms":  0.3187846114787345,
                                                                "p95_ms":  0.3785000299103558
                                                            }
                                            }
                                        ]
                         }
                     ],
    "model_summary":  {
                          "flux":  {
                                       "properties":  {
                                                          "B_GPa":  {
                                                                        "N_truth":  175,
                                                                        "N_pred":  169,
                                                                        "coverage_pct":  96.57142857142857,
                                                                        "MAE":  1.1405215596972114,
                                                                        "MAPE":  1.0148928413463145,
                                                                        "median_APE":  null,
                                                                        "p90_AE":  null
                                                                    },
                                                          "theta_D_K":  {
                                                                            "N_truth":  174,
                                                                            "N_pred":  168,
                                                                            "coverage_pct":  96.55172413793103,
                                                                            "MAE":  6.5203297152162225,
                                                                            "MAPE":  1.5635671907845587,
                                                                            "median_APE":  null,
                                                                            "p90_AE":  null
                                                                        },
                                                          "v_sound_m_s":  {
                                                                              "N_truth":  174,
                                                                              "N_pred":  168,
                                                                              "coverage_pct":  96.55172413793103,
                                                                              "MAE":  78.74483963101314,
                                                                              "MAPE":  1.6081335095306832,
                                                                              "median_APE":  null,
                                                                              "p90_AE":  null
                                                                          },
                                                          "density_g_cm3":  {
                                                                                "N_truth":  168,
                                                                                "N_pred":  162,
                                                                                "coverage_pct":  96.42857142857143,
                                                                                "MAE":  0.07618651810360301,
                                                                                "MAPE":  1.3397873255209451,
                                                                                "median_APE":  null,
                                                                                "p90_AE":  null
                                                                            },
                                                          "kappa_W_mK":  {
                                                                             "N_truth":  160,
                                                                             "N_pred":  154,
                                                                             "coverage_pct":  96.25,
                                                                             "MAE":  1.5154211195979999,
                                                                             "MAPE":  1.3472957431855248,
                                                                             "median_APE":  null,
                                                                             "p90_AE":  null
                                                                         }
                                                      },
                                       "aggregate":  {
                                                         "N_points":  821,
                                                         "overall_MAPE":  1.3750203398604772,
                                                         "overall_median_APE":  null
                                                     },
                                       "runtime_mean_ms_across_folds":  0.3205222935739933
                                   }
                      }
}
