From: Robust and efficient parameter estimation in dynamic models of biological systems
Regularization method | Computation involves | Further required inputs | Involved computation | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
Method | Short ID | Refs | Residuals | Estimated | Jacobian | Tuning | Meas. error | α max/α min | Matrix | SVD | Trace |
parameters | parameter | estimate | inverse | ||||||||
Discrepancy principle | DP | [113] | ✓ | - | - | ✓ | ✓ | - | - | - | - |
Modified DP | MDP | [114] | ✓ | - | ✓ | ✓ | ✓ | - | ✓ | - | - |
Transformed DP | TDP | [115] | ✓ | - | ✓ | ✓ | ✓ | - | ✓ | - | - |
Monotone Error Rule | MER | [116] | ✓ | ✓ | ✓ | ✓ | ✓ | - | ✓ | - | - |
Balancing Principle | BP | [117] | - | ✓ | ✓ | ✓ | ✓ | - | - | ✓ | - |
Hardened Balancing | HBP | [118] | - | ✓ | ✓ | - | - | - | - | ✓ | - |
Quasi optimality | QO | [80] | - | ✓ | - | - | - | ✓ | - | - | - |
L–curve method (curvature) | LCC | [105] | ✓ | ✓ | - | - | - | ✓ | - | - | - |
L–curve method (Reginska) | LCR | [119] | ✓ | ✓ | - | - | - | ✓ | - | - | - |
Extrapolated Error Rule | EER | [120] | ✓ | - | ✓ | - | - | - | - | - | - |
Residual Method | RM | [121] | ✓ | - | ✓ | - | - | ✓ | ✓ | - | ✓ |
Generalized Cross-validation | GCV | [122] | ✓ | - | ✓ | - | - | - | ✓ | - | ✓ |
GCV (Golub) | GCVG | [107] | ✓ | - | ✓ | - | - | - | ✓ | - | ✓ |
Robust GCV | RGCV | [108] | ✓ | - | ✓ | ✓ | - | - | ✓ | - | ✓ |
Strong RGCV | SRGCV | [109] | ✓ | - | ✓ | ✓ | - | - | ✓ | - | ✓ |