Acquisition Function

Creator
Creator
Seonglae Cho
Created
Created
2024 Oct 1 0:24
Editor
Edited
Edited
2025 Feb 4 14:45
Refs
Refs

α(x)\alpha(x)

Balancing exploration and exploitation by utilizing the model's mean (prediction) and uncertainty (variance)
 
 

Bayesian Optimization Process

  1. Choose a Surrogate model for modeling the true function ff and define its prior over the space of objective functions to model our black-box function.
  1. Bayes Update: obtain or update Surrogate Posterior using Bayes’ rule by incorporating set of observations into the surrogate model
  1. Use Acquisition functions α(x)\alpha(x), which depend on the surrogate posterior, to determine next sample evaluation point xt=arg maxxα(x)x_t = \argmax_x\alpha(x)
  1. Add newly sampled data to the set of observations and goto step #2 till convergence or budget elapses
 
 
 
 

Recommendations