How to calculate an unknown formula if the input parameters and the result are known?

Question

Mathematics

There is a table from a large number of records of number-result. The unknown formula takes from three to 15 integer variables (the exact number has not yet been established) and produces an integer result. What are the ways to calculate this formula?

Answer 1

Look at the Lagrange interpolation polynomial. Well, others are the same polynomials. In general, there is a whole science about numerical methods for such problems.

Answer 2

None. In general, zero chance to calculate guaranteed. There is some chance to guess if there is data on a large sample, but only with very simple logic

Answer 3

Polynomial regression .

Answer 4

Train the neural network. It is said to approximate any function. (the formula itself will remain unknown, but the main thing is the result of the prediction?)