9 citations · 21 across the 4 of their papers we have counts for
4 papers
Topological analysis of scalar fields with outliers
Mickaël Buchet, Frédéric Chazal, Tamal K. Dey +3
Given a real-valued function defined over a manifold embedded in , we are interested in recovering structural information about from the sole information…
Dimension Detection with Local Homology
Tamal K. Dey, Fengtao Fan, Yusu Wang
Detecting the dimension of a hidden manifold from a point sample has become an important problem in the current data-driven era. Indeed, estimating the shape dimension is often the…
Graph Induced Complex on Point Data
Tamal K. Dey, Fengtao Fan, Yusu Wang
The efficiency of extracting topological information from point data depends largely on the complex that is built on top of the data points. From a computational viewpoint, the mos…
Computing Topological Persistence for Simplicial Maps
Tamal K. Dey, Fengtao Fan, Yusu Wang
Algorithms for persistent homology and zigzag persistent homology are well-studied for persistence modules where homomorphisms are induced by inclusion maps. In this paper, we prop…