Frequency Response

Frequency response analysis focuses on characterizing how a system responds to varying input frequencies, aiming to understand its dynamic behavior and predict its output across a range of frequencies. Current research emphasizes developing robust and efficient methods for estimating frequency response functions (FRFs), employing techniques like empirical transfer function estimation, hierarchical Bayesian modeling, and neural network architectures such as DeepONets and novel frequency-query operators. These advancements are crucial for diverse applications, including structural health monitoring, robotic control, and even AI safety, enabling more accurate modeling, improved system design, and enhanced decision-making in various fields.