Little math problem(s) January 2019

[pier4r]

Quote:I can't imagine a real world modeling case where either of these two cases would come up. I could be misunderstanding the question?

It is an hypothetical. Especially in math it shouldn't be something new.
It is not a real world application.

About "the model could be slow", it is because if you are the guy with the superpower, spelling out (or writing down) the answer literally takes time, although you have it in your mind immediately. Therefore doing it one million times is exhausting a bit.

(01-27-2019 03:28 PM)Allen Wrote:  In the second case, where the errors are completely deterministic (but not precise), would it be safe to assume the underlying function is differentiable, and rather than look for variations in the output, one could change the input over successive trials, and use the information learned from that to refine the numeric estimate?

We couldn't always ensure it is differentiable, but the idea is on the right track. You can get more precision varying the input over iterations.