Fig. 6: Summary of additional validation cases.

System schematics (a, b), system equations (c, d), optimal dimensionless inputs and outputs discovered from IT-π (e, f), visualization of \({\Pi }_{o}^{ * }\) as a function of Π* (g, h). Left column: Rayleigh-Bénard convection system; right column: Blasius laminar boundary layer. Additional details regarding the symbols and definitions are provided in the main text.