Assuming all of the following;
- I have 4 known numbers, all within a 0-400 range, like this:
Variable1 Variable2 Variable3 Variable4 0-400 0-400 0-400 0-400
I know that there is a mathematical relationship between the numbers.
I would like to use a genetic algorithm (computer code) to estimate/approximiate Variable2 and Variable3 based on Variable1 and Variable4.
Also, importantly, assume that there are many input samples and that each sample will differ slightly. Thus, a genetic algorithm optimization of "a mathematical formula/algorithm" to estimate/approximate Variable2 and Variable3 in all cases becomes possible.
(In other words, the genetic algorithm will be able optimize the mathematical formula towards the already-known Variable2 and Variable3 across many input samples, each with a similar though slightly different mathematical formula.)
How can I then write the following into a genetic algorithm:
? could be any mathematical function (
+/-/*/:/√/^2/cos/sin/tan/etc.) involving Variable2 and Variable3
In other words; I would like the genetic algorithm to build a generic mathematical formula.
How can I define Variable2 and Variable3 as the outcome of a mathematical formula so that estimation by a computer algorithm becomes possible?
I am not sure how to approach this. The genetic algorithm software I use can use as many variables as is needed, and they can be in disparate ranges.
So for example, I could write my algorithm like this easily;
Where Variable1 is the first variable for the genetic algorithm, with a range of
0-400, and Variable4 is the second variable for the genetic algorithm, with a range of
0-400, and finally
(op) is the third variable for the genetic algorithm, for example with a range of
1 stands for
However, the complexity of this algorithm is very limited and crude; it is not optimized towards a nice and complex real estimation algorithm. Also, as soon as a secondary operator is introduced, for example:
Variable2=[Variable1 or Variable4](op)[Variable1 or Variable4](op)[Variable1 or Variable4] Variable3=[Variable1 or Variable4](op)[Variable1 or Variable4](op)[Variable1 or Variable4]
The coding complexity for this would start to increase quickly, and there may be a need to use
) to prioritize mathematical calculations, etc. The coding complexity for even more complex calculations becomes seemingly unmanageable.
Is there a better and more straightforward way to let the genetic algorithm approximate/estimate Variable2 and Variable3 based on Variable1 and Variable4 into an overall optimized generic mathematical formula/algorithm?