Optimal Design
Optimal design focuses on finding the best configuration of a system or process to maximize performance or minimize cost, often under constraints. Current research emphasizes efficient algorithms, including Bayesian optimization, genetic algorithms, and reinforcement learning, coupled with surrogate models (like neural networks) to reduce computational burden, particularly for high-dimensional problems. These advancements are improving the efficiency and robustness of design processes across diverse fields, from materials science and manufacturing to robotics and traffic management, leading to better products and more effective resource allocation. The incorporation of causal inference and robust handling of uncertainty are also emerging themes.