Projection Operator

Projection operators are mathematical tools used to map data onto specific subspaces, often to extract relevant information or enforce constraints. Current research focuses on developing and applying projection operators within diverse fields, including image processing (e.g., using denoisers and Landweber operators), machine learning (e.g., in neural networks for solving inverse problems and feature selection), and scientific modeling (e.g., for analyzing dynamical systems and reconstructing probability density functions). These advancements improve the accuracy and efficiency of algorithms across various applications, from medical imaging and drug design to signal processing and anomaly detection.