北京雁栖湖应用数学研究院

Artificial intelligence (AI) has fundamentally changed the landscape of science, engineering, and technology in the past decade and holds great promise for data-driven discovery. However, AI-based discovery encounters challenges arising from the intricate complexity, high dimensionality, nonlinearity, and multiscale nature of many datasets, particularly those from biological science. Rooted in algebraic, differential, and geometric topologies, topological data analysis (TDA) addresses these challenges in a unique manner that cannot be achieved by any other mathematical, physical, or statistical means. Topological AI is a new paradigm in data science and the frontier in rational learning. It has found successful applications in various fields such as science, engineering, medicine, defense, and industry. This workshop will bring together researchers from mathematics, computer science, and various applied sciences to exchange ideas and foster collaborations.