[patrick451]

This also seems to a difference between interpolation and extrapolation. The table doesn't just fit a polynomial to theta between 0 and pi/8 and expect you to extrapolate for theta > pi/8. That would have catastrophic results. It has always seemed to me like one of the big problems with ML is knowing whether a given inference is an interpolation or an extrapolation.

[KolenCh]

In that sense, extrapolation should never be used in “production”. At best it is for exploration.

One characteristics of ML is that this distinction often is not clear. (Hallucination, generalization, etc.)

[pyinstallwoes]

Interpolation would require deriving from the resultant and extrapolation would guarantee no inference is how I make sense of it