Before revision: Solving optimization tasks based on functions and losses with a topological flavor is a very active and growing field of research in  Topological Data Analysis, with plenty of applications in non-convex optimization, statistics and machine learning.
After revision: Solving optimization tasks based on functions and losses with a topological flavor is a very active and growing field of research in data science and Topological Data Analysis, with plenty of applications in non-convex optimization, statistics and machine learning.