Equation Discovery on Heat conduction
0.0001MSEDEAP (Real+PhysLDM)
Evaluation Results
| Method | Links | ||
|---|---|---|---|
| DEAP (Real+PhysLDM)N=16, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0001 | 0.9994 | |
| PySR (Real+PhysLDM)N=16, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0001 | 0.9994 | |
| DEAP (Real+PhysLDM)N=8, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0001 | 0.9991 | |
| DEAP (Real only)N=16, Measurement=q, Data Enrichment=Real only2026.05 | 0.0001 | 0.9991 | |
| DEAP (Real+PhysLDM)N=4, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0002 | 0.9987 | |
| PySR (Real+PhysLDM)N=8, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0002 | 0.9988 | |
| GPLearn (Real+PhysLDM)N=8, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0002 | 0.967 | |
| GPLearn (Real+PhysLDM)N=16, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0002 | 0.967 | |
| DEAP (Real+PhysLDM)N=2, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0002 | 0.9987 | |
| GPLearn (Real+PhysLDM)N=2, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0002 | 0.9667 | |
| GPLearn (Real+PhysLDM)N=4, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0002 | 0.9667 | |
| PySR (Real+PhysLDM)N=2, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0002 | 0.9981 | |
| GPLearn (Real only)N=16, Measurement=q, Data Enrichment=Real only2026.05 | 0.0002 | 0.9656 | |
| PySR (Real only)N=16, Measurement=q, Data Enrichment=Real only2026.05 | 0.0002 | 0.9978 | |
| PySR (Real+PhysLDM)N=4, Measurement=q, Data Enrichment=Real+PhysLDM2026.05 | 0.0002 | 0.998 | |
| GPLearn (Real only)N=8, Measurement=q, Data Enrichment=Real only2026.05 | 0.0005 | 0.9632 | |
| DEAP (Real only)N=8, Measurement=q, Data Enrichment=Real only2026.05 | 0.002 | 0.9865 | |
| PySR (Real only)N=8, Measurement=q, Data Enrichment=Real only2026.05 | 0.0045 | 0.9657 | |
| DEAP (Real only)N=4, Measurement=q, Data Enrichment=Real only2026.05 | 0.0085 | 0.9063 | |
| GPLearn (Real only)N=4, Measurement=q, Data Enrichment=Real only2026.05 | 0.0204 | 0.7141 | |
| PySR (Real only)N=4, Measurement=q, Data Enrichment=Real only2026.05 | 0.0276 | 0.785 | |
| PySR (Real only)N=2, Measurement=q, Data Enrichment=Real only2026.05 | 0.0922 | 0.2524 | |
| PySR (Real+LDM)N=16, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.0935 | 0.2115 | |
| DEAP (Real only)N=2, Measurement=q, Data Enrichment=Real only2026.05 | 0.1014 | 0.1954 | |
| PySR (Real+LDM)N=8, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1016 | 0.1283 | |
| PySR (Real+LDM)N=2, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1041 | 0.0999 | |
| PySR (Real+LDM)N=4, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1045 | 0.1038 | |
| DEAP (Real+LDM)N=16, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1123 | 0.0977 | |
| GPLearn (Real+LDM)N=16, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.119 | -0.0981 | |
| GPLearn (Real only)N=2, Measurement=q, Data Enrichment=Real only2026.05 | 0.1266 | -0.077 | |
| GPLearn (Real+LDM)N=8, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1266 | -0.1404 | |
| GPLearn (Real+LDM)N=4, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1277 | -0.1467 | |
| GPLearn (Real+LDM)N=2, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1285 | -0.1542 | |
| DEAP (Real+LDM)N=8, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1285 | -0.0749 | |
| DEAP (Real+LDM)N=4, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1329 | -0.11 | |
| DEAP (Real+LDM)N=2, Measurement=q, Data Enrichment=Real+LDM2026.05 | 0.1335 | -0.1191 |