“…The problem of missing or unreliable coefficients in databases, essential for modeling processes, concerns not only the hard models (based on differential equations of elementary processes such as fluid and heat flows, diffusion, mechanical impact -stress), but also occurs in the case of the use of soft models (empirical equations including modeling of nucleation and grain growth, supply and the formation of shrinkage defects, local structures and their mechanical properties, expansion movements) [6,[22][23][24][25].…”