Derivative-Free Optimization Purpose Provides optimization capabilities for problems where gradient information is unavailable or unreliable. Capabilities - Nelder-Mead simplex method - Powell's method - Surrogate-based optimization - Bayesian optimization - Pattern search methods - Trust region methods Usage Guidelines 1. Method Selection : Choose based on problem characteristics 2. Function Evaluations : Minimize expensive function calls 3. Surrogate Models : Build and refine surrogate approximations 4. Exploration-Exploitation : Balance search strategies Tools/Libraries - scipy.optimize -…