I have a large equation that essentially takes two variables and returns a real number. I know that the two values are real numbers between 0 and 10. Is there a standard way to numerically find the minimum point on the surface?
I'm multiplying two Poisson distributions together to get the probability of two independent events happening. I have some real world data that I'm trying to model and am trying to find the two lambda values for the distribution that best models that real world data.
I have a cost function that gives a cost for any specific two lambdas and am trying to find the 2 values that minimize that cost.
So the equation is more or less the sum of[((two poisson distributions multiplied together) - (some value measured from the real workd))^2]
I'm trying to find the two lambda values that give the minimum for this function.