A methodology to assess and improve the physics consistency of an artificial neural network regression model for engineering applications

Advanced Modeling and Simulation in Engineering Sciences

Table 3 Regions of acceptable approximation for 3rd degree Taylor polynomial

Development Points	\({\Delta xc}_{a1}\)	\({\Delta xc}_{a2}\)	\({\Delta xc}_{a3}\)	\({\Delta xc}_{a4}\)	\({\Delta xc}_{a5}\)
Point A	0.051562	0.061875	0.051562	0.10312	0.154687
Point B	0.045000	0.056250	0.056250	0.11250	0.187500
Point C	0.048750	0.048750	0.056250	0.15000	0.168750
Mean	0.048437	0.055625	0.054687	0.12187	0.170312
Std deviation	0.002688	0.005375	0.002209	0.02025	0.013441
\(\mu -\sigma (\gamma )\)	0.045749	0.050087	0.052478	0.10162	0.156871