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 5 Development points and expected region of approximation (yatch hydrodynamics)

Development point	Expected region of approximation	Maximum absolute error
[− 2.45, 0.5475, 4.77, 3.03, 3.03, 0.419] Region A	x₁ϵ [− 2.4, − 2.5], x₂ϵ [0.545, 0.55], x₃ϵ [4.75, 4.79], x₄ϵ [3,0.6], x₅ϵ [3,3.06], x₆ϵ [0.418,0.42]	0.006311
[− 2.55, 0.5475, 4.77, 3.03, 3.03, 0.419] Region B	x₁ϵ [− 2.5, − 2.6], x₂ϵ [0.545, 0.55], x₃ϵ [4.75, 4.79], x₄ϵ [3, 0.6], x₅ϵ [3, 3.06], x₆ϵ [0.418, 0.42]	0.006291