Topological Data Analysis: potential applications to computer vision

Опубликовано 22 июня 2016, 19:57

Topological Data Analysis quantifies hidden topological structures in big raw noisy data. The flagship tool (persistent homology) summarises the underlying structure across all scales. The stability result says that such a summary (persistence diagram) is robust to noise. We shall review potential approaches to combine topological data analysis and machine learning for practical problems in computer vision.