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Related Questions
- Can you derive a mathematical expression to quantify the trade-off between exploration and exploitation in Bayesian optimization and random search?
- How do you formulate the expected improvement or expected loss in Bayesian optimization to balance exploration and exploitation?
- Can you provide a mathematical comparison of the exploration-exploitation trade-off between Bayesian optimization and random search?
- How do you model the uncertainty in the objective function to inform the exploration-exploitation trade-off in Bayesian optimization?
- Can you discuss the role of the acquisition function in Bayesian optimization and how it affects the exploration-exploitation trade-off?
- How does the choice of kernel or covariance function in Bayesian optimization impact the exploration-exploitation trade-off?
- Can you provide a mathematical formulation to compare the efficiency of Bayesian optimization and random search in terms of exploration-exploitation trade-off?
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