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Effect of search space boundaries on exploration

Open Webbah opened this issue 5 years ago • 2 comments

grafik

(Only boundaries for GP changed in the 2 plots) Do you have any hints how a change in the boundaries effect exploration that much? Our understanding was, that boundaries shouldn't effect exploration at all but only act as a limit.

Webbah avatar Oct 26 '20 16:10 Webbah

It shouldn't all inputs being equal (the code is deterministic). There are three main sources for behavior change that come to mind:

  • Random observation noise can affect exploration.
  • If you do hyperparameter optimization that can affect exploration
  • If you're discretizing the space, the behavior can change depending on the discretization. This could be implicit: e.g., if you have 100 points per dimension, then changing the domain affects the discretization.

On Mon, 26 Oct 2020 at 17:00, Webbah [email protected] wrote:

[image: grafik] https://user-images.githubusercontent.com/1822491/97196157-6fa79700-17ac-11eb-9126-940ab900535a.png

(Only boundaries for GP changed in the 2 plots) Do you have any hints how a change in the boundaries effect exploration that much? Our understanding was, that boundaries shouldn't effect exploration at all but only act as a limit.

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befelix avatar Oct 26 '20 19:10 befelix

We have random noise, but it is sampled from a seeded distribution. Hence, we have a deterministic behavior, i.e. with the same bounds we can reproduce each of the above shown plots exactly.

Webbah avatar Oct 27 '20 07:10 Webbah