Differentiable Mapper For Topological Optimization Of Data Representation

arXiv:2402.12854v1 Announce Type: new
Abstract: Unsupervised data representation and visualization using tools from topology is an active and growing field of Topological Data Analysis (TDA) and data science. Its most prominent line of work is based on the so-called Mapper graph, which is a combinatorial graph whose topological structures (connected components, branches, loops) are in correspondence with those of the data itself. While highly generic and applicable, its use has been hampered so far by the manual tuning of its …

abstract analysis arxiv components cs.cg cs.lg data data analysis data science differentiable graph line math.at optimization representation science tools topology type unsupervised visualization work