53 citations · 219 across the 20 of their papers we have counts for
6 papers · 1 filter
Updating Barcodes and Representatives for Zigzag Persistence
Tamal K. Dey, Tao Hou
Computing persistence over changing filtrations give rise to a stack of 2D persistence diagrams where the birth-death points are connected by the so-called `vines'. We consider com…
On Association between Absolute and Relative Zigzag Persistence
Tamal K. Dey, Tao Hou
Duality results connecting persistence modules for absolute and relative homology provides a fundamental understanding into persistence theory. In this paper, we study similar asso…
Computing Optimal Persistent Cycles for Levelset Zigzag on Manifold-like Complexes
Tamal K. Dey, Tao Hou, Anirudh Pulavarthy
In standard persistent homology, a persistent cycle born and dying with a persistence interval (bar) associates the bar with a concrete topological representative, which provides m…
Physical Origin of Current Partition at a Topological Trifurcation
Sanyi You, Tao Hou, Zhenhua Qiao
In gated bilayer graphene, topological zero-line modes (ZLMs) appear along lines separating regions with opposite valley Hall topologies. Although it is experimentally difficult to…
Topological Filtering for 3D Microstructure Segmentation
Anand V. Patel, Tao Hou, Juan D. Beltran Rodriguez +2
Tomography is a widely used tool for analyzing microstructures in three dimensions (3D). The analysis, however, faces difficulty because the constituent materials produce similar g…
Computing Zigzag Persistence on Graphs in Near-Linear Time
Tamal K. Dey, Tao Hou
Graphs model real-world circumstances in many applications where they may constantly change to capture the dynamic behavior of the phenomena. Topological persistence which provides…