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Related Questions
- What is the relationship between the acquisition function and the exploration-exploitation trade-off in Bayesian optimization?
- How does the choice of acquisition function affect the convergence rate of gradient-based optimization methods in high-dimensional spaces?
- Can you explain the role of entropy-based acquisition functions in balancing exploration and exploitation in high-dimensional optimization?
- How does the acquisition function impact the performance of optimization algorithms in scenarios with multiple local optima?
- What are the key differences between expected improvement and probability of improvement acquisition functions in terms of convergence rate?
- In what ways can the acquisition function be modified to improve the convergence rate of optimization algorithms in high-dimensional spaces?
- Can you compare and contrast the convergence rates of different acquisition functions, such as Thompson sampling and upper confidence bound sampling?
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