
Computing Optimal Persistent Cycles for Levelset Zigzag on Manifoldlike Complexes
In standard persistent homology, a persistent cycle born and dying with ...
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3D Microstructure Segmentation by Topological Persistence
Tomography is a widely used tool for analyzing microstructures in three ...
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2D Points Curve Reconstruction Survey and Benchmark
Curve reconstruction from unstructured points in a plane is a fundamenta...
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Computing Zigzag Persistence on Graphs in NearLinear Time
Graphs model realworld circumstances in many applications where they ma...
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Persistence of the Conley Index in Combinatorial Dynamical Systems
A combinatorial framework for dynamical systems provides an avenue for c...
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An efficient algorithm for 1dimensional (persistent) path homology
This paper focuses on developing an efficient algorithm for analyzing a ...
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Road Network Reconstruction from Satellite Images with Machine Learning Supported by Topological Methods
Automatic Extraction of road network from satellite images is a goal tha...
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Computing Minimal Persistent Cycles: Polynomial and Hard Cases
Persistent cycles, especially the minimal ones, are useful geometric fea...
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Generalized Persistence Algorithm for Decomposing Multiparameter Persistence Modules
The classical persistence algorithm virtually computes the unique decomp...
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Persistent 1Cycles: Definition, Computation, and Its Application
Persistence diagrams, which summarize the birth and death of homological...
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Filtration Simplification for Persistent Homology via Edge Contraction
Persistent homology is a popular data analysis technique that is used to...
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Computing Height Persistence and Homology Generators in R^3 Efficiently
Recently it has been shown that computing the dimension of the first hom...
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Graph Reconstruction by Discrete Morse Theory
Recovering hidden graphlike structures from potentially noisy data is a...
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Computing Bottleneck Distance for 2D Interval Decomposable Modules
Computation of the interleaving distance between persistence modules is ...
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Efficient algorithms for computing a minimal homology basis
Efficient computation of shortest cycles which form a homology basis und...
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Persistent Homology of Morse Decompositions in Combinatorial Dynamics
We investigate combinatorial dynamical systems on simplicial complexes c...
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Temporal Hierarchical Clustering
We study hierarchical clusterings of metric spaces that change over time...
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Tamal K. Dey
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