Welcome to the AI Mathematics and Applications (AIMA) Laboratory website. Our laboratory is affiliated with the Department of Computer Engineering at Kumoh National Institute of Technology (KIT). Our goal is to analyze fundamental mechanisms of various AI models mathematically and enhance their performance in terms of accuracy, effectiveness, and computational efficiency. Moreover, we study various optimization algorithms used to train large-scale AI and machine learning (ML) models, as well as numerous AI-based numerical algorithms to efficiently solve complex problems, such as NP-hard or high-dimensional global optimization problems. Finally, we also research various AI & ML applications based on these studies.