Various cutoffs
Should be
Differential(t)(V) = p₁ + V*p₂ + W*p₄ + p₃*(V^3)
Differential(t)(W) = p₅ + V*p₆ + W*p₇
Always the title is cutoff and optimization method
Smooth Forward Df
2000 & STLSQ
Model ##Basis#388 with 2 equations
States : V W
Parameters : 6
Independent variable: t
Equations
Differential(t)(V) = p₁ + V*p₂ + W*p₄ + p₃*(V^2)
Differential(t)(W) = p₅ + W*p₆
Linear Solution with 2 equations and 6 parameters.
Returncode: solved
L₂ Norm error : [74.78388648297391, 25.370167490831182]
AIC : [34110.303086665364, 25566.935128488396]
R² : [-1.7705432321293069, 0.48830612769746606]
Parameters:
[0.3, 0.8, -0.4, -0.3, 0.6, -0.31]
1000 & SR3
Model ##Basis#405 with 2 equations
States : V W
Parameters : 8
Independent variable: t
Equations
Differential(t)(V) = V*p₁ + W*p₄ + p₂*(V^2) + p₃*(V^3)
Differential(t)(W) = p₅ + V*p₆ + W*p₈ + p₇*(V^2)
Linear Solution with 2 equations and 8 parameters.
Returncode: solved
L₂ Norm error : [211.63117047913556, 1062.8083759316835]
AIC : [47690.18501396972, 62058.069854531444]
R² : [-3.0596412951792242, 0.6042583461776001]
Parameters:
[1.09, -0.8, 0.11, -0.15, 0.24, -0.13, 0.21, -0.14]
2000 & SR3
Model ##Basis#411 with 2 equations
States : V W
Parameters : 8
Independent variable: t
Equations
Differential(t)(V) = p₁ + V*p₂ + p₃*(V^2) + p₄*(V^3)
Differential(t)(W) = p₅ + V*p₆ + p₇*(V^2) + p₈*(W^2)
Linear Solution with 2 equations and 8 parameters.
Returncode: solved
L₂ Norm error : [288.2814774371565, 1582.4585434912008]
AIC : [44778.096916964794, 58235.30636382105]
R² : [-9.680058684080175, -30.916791253738456]
Parameters:
[-0.5, 1.8, -1.4, 0.29, 0.27, -0.25, 0.3, -0.18]
Tvdiff Df
1000 & SR3
Model ##Basis#507 with 2 equations
States : V W
Parameters : 8
Independent variable: t
Equations
Differential(t)(V) = V*p₁ + W*p₄ + p₂*(V^2) + p₃*(V^3)
Differential(t)(W) = p₅ + V*p₆ + W*p₈ + p₇*(V^2)
Linear Solution with 2 equations and 8 parameters.
Returncode: solved
L₂ Norm error : [211.3101858827484, 1053.3627931231706]
AIC : [47676.671431685485, 61978.59180147926]
R² : [-3.054002039146713, 0.6099054364959031]
Parameters:
[1.09, -0.8, 0.11, -0.15, 0.24, -0.13, 0.21, -0.14]
1 & SR3
Model ##Basis#446 with 2 equations
States : V W
Parameters : p₁ p₂ p₃ p₄
Independent variable: t
Equations
Differential(t)(V) = 0
Differential(t)(W) = p₁ + V*p₂ + W*p₄ + p₃*(V^2)
Linear Solution with 2 equations and 4 parameters.
Returncode: solved
L₂ Norm error : [155.0710066105855, 9291.229194306132]
AIC : [49952.53064617247, 90480.8524061853]
R² : [-0.30329307021503427, 0.8870442179710343]
Parameters:
[0.27, -0.28, 0.26, -0.11]