Quadratic System

Quadratic systems, encompassing mathematical models where variables are related by quadratic equations, are a focus of intense research across diverse fields. Current efforts concentrate on developing efficient algorithms for solving these systems, particularly in high-dimensional settings, often incorporating techniques like sparse or generative priors to handle limited data. This includes improving the sample complexity and convergence rates of algorithms for control problems in linear quadratic systems and leveraging deep learning to identify suitable coordinate transformations for nonlinear systems. These advancements have significant implications for various applications, from signal processing and control theory to machine learning and string field theory.