How to get (interpolation) a formula (by text) from a matrix of values ​​​​in python?

Question

Python

There is a function of 3 parameters f (a, b, c) in a black box, there is a matrix of results-values, you need to get a text formula to apply in the future.

scipy seems to know how to interpolate, but I didn’t find how to pull out the formula =(

Answer 1

So if I understand interpolation correctly, as Eddy_Em said, everything depends very much on the method, since it already gives a “text” formula, in other words, the formula of the function approximating the desired one, such formulas themselves are in reference books, and in interpolation programs and subroutines in human-readable format, no one will push them in normal cases

Answer 2

A solution to your question in the one-dimensional case:
>>>import sympy
>>>x = sympy.symbols('x')
>>>sympy.interpolate([(-1, 2), (1, 2), (2, 5)], x)
x**2 + 1
But in the case of several variables, I don't know how to solve a similar problem head-on.
There are functions linfit, polyfit in matkad, but this already applies to approximation.