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Related Questions
- What is the difference between exploration and exploitation in Bayesian optimization, and why is it crucial in non-convex optimization problems?
- How do acquisition functions like Expected Improvement (EI) and Probability of Improvement (PI) balance exploration and exploitation in Bayesian optimization?
- Can you explain the concept of 'elitism' in acquisition functions and how it affects the trade-off between exploration and exploitation?
- How does the choice of acquisition function impact the convergence rate of Bayesian optimization in non-convex optimization problems?
- What are the implications of using different acquisition functions, such as Upper Confidence Bound (UCB) and Thompson Sampling, on the exploration-exploitation trade-off in Bayesian optimization?
- Can you discuss the role of hyperparameters in acquisition functions and how they influence the balance between exploration and exploitation?
- How do acquisition functions adapt to changing landscapes in non-convex optimization problems, and what strategies can be employed to improve their performance?
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