2 papers
math.AT2026
A Three Axis Evaluation Framework for Mapper Algorithms
Annesha Sen, Shivam Singh, S. P. Tiwari
Mapper is a well-known tool in topological data analysis, which visualizes and summarizes high-dimensional data. However, its output is sensitive to choices of lens functions, cove…
math.AT2026
GK-Mapper: A Stability Framework for Gustafson-Kessel Fuzzy Mapper Graphs
Annesha Sen, Shivam Singh, S. P. Tiwari
Topological Data Analysis uses tools from algebraic topology to study the shape and structure of data. The Mapper algorithm provides a graph-based summary of high-dimensional datas…