b'Tamal K. Dey'

research

∙ 07/14/2023

Computing Zigzag Vineyard Efficiently Including Expansions and Contractions

Vines and vineyard connecting a stack of persistence diagrams have been ...

0 Tamal K. Dey, et al. ∙

research

∙ 04/11/2023

GRIL: A 2-parameter Persistence Based Vectorization for Machine Learning

1-parameter persistent homology, a cornerstone in Topological Data Analy...

0 Cheng Xin, et al. ∙

research

∙ 03/14/2023

Meta-Diagrams for 2-Parameter Persistence

We first introduce the notion of meta-rank for a 2-parameter persistence...

0 Nate Clause, et al. ∙

research

∙ 03/05/2023

Computing Connection Matrices via Persistence-like Reductions

Connection matrices are a generalization of Morse boundary operators fro...

0 Tamal K. Dey, et al. ∙

research

∙ 02/24/2023

Revisiting Graph Persistence for Updates and Efficiency

It is well known that ordinary persistence on graphs can be computed mor...

0 Tamal K. Dey, et al. ∙

research

∙ 12/03/2022

Cup Product Persistence and Its Efficient Computation

It is well-known that cohomology has a richer structure than homology. H...

0 Tamal K. Dey, et al. ∙

research

∙ 04/23/2022

Fast Computation of Zigzag Persistence

Zigzag persistence is a powerful extension of the standard persistence w...

0 Tamal K. Dey, et al. ∙

research

∙ 03/11/2022

Tracking Dynamical Features via Continuation and Persistence

Multivector fields and combinatorial dynamical systems have recently bec...

0 Tamal K. Dey, et al. ∙

research

∙ 12/04/2021

Updating Zigzag Persistence and Maintaining Representatives over Changing Filtrations

Computing persistence over changing filtrations give rise to a stack of ...

0 Tamal K. Dey, et al. ∙

research

∙ 11/30/2021

Computing Generalized Rank Invariant for 2-Parameter Persistence Modules via Zigzag Persistence and its Applications

The notion of generalized rank invariant in the context of multiparamete...

0 Tamal K. Dey, et al. ∙

research

∙ 10/27/2021

Approximating 1-Wasserstein Distance between Persistence Diagrams by Graph Sparsification

Persistence diagrams (PD)s play a central role in topological data analy...

0 Tamal K. Dey, et al. ∙

research

∙ 10/12/2021

On Association between Absolute and Relative Zigzag Persistence

Duality results connecting persistence modules for absolute and relative...

0 Tamal K. Dey, et al. ∙

research

∙ 08/17/2021

Rectangular Approximation and Stability of 2-parameter Persistence Modules

One of the main reasons for topological persistence being useful in data...

0 Tamal K. Dey, et al. ∙

research

∙ 07/05/2021

Persistence of Conley-Morse Graphs in Combinatorial Dynamical Systems

Multivector fields provide an avenue for studying continuous dynamical s...

0 Tamal K. Dey, et al. ∙

research

∙ 05/02/2021

Computing Optimal Persistent Cycles for Levelset Zigzag on Manifold-like Complexes

In standard persistent homology, a persistent cycle born and dying with ...

0 Tamal K. Dey, et al. ∙

research

∙ 04/27/2021

Topological Filtering for 3D Microstructure Segmentation

Tomography is a widely used tool for analyzing microstructures in three ...

1 Anand V. Patel, et al. ∙

research

∙ 03/17/2021

2D Points Curve Reconstruction Survey and Benchmark

Curve reconstruction from unstructured points in a plane is a fundamenta...

0 Stefan Ohrhallinger, et al. ∙

research

∙ 03/12/2021

Computing Zigzag Persistence on Graphs in Near-Linear Time

Graphs model real-world circumstances in many applications where they ma...

0 Tamal K. Dey, et al. ∙

research

∙ 03/12/2020

Persistence of the Conley Index in Combinatorial Dynamical Systems

A combinatorial framework for dynamical systems provides an avenue for c...

0 Tamal K. Dey, et al. ∙

research

∙ 01/27/2020

An efficient algorithm for 1-dimensional (persistent) path homology

This paper focuses on developing an efficient algorithm for analyzing a ...

0 Tamal K. Dey, et al. ∙

research

∙ 09/15/2019

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...

21 Tamal K. Dey, et al. ∙

research

∙ 07/10/2019

Computing Minimal Persistent Cycles: Polynomial and Hard Cases

Persistent cycles, especially the minimal ones, are useful geometric fea...

0 Tamal K. Dey, et al. ∙

research

∙ 04/07/2019

Generalized Persistence Algorithm for Decomposing Multi-parameter Persistence Modules

The classical persistence algorithm virtually computes the unique decomp...

0 Tamal K. Dey, et al. ∙

research

∙ 10/11/2018

Persistent 1-Cycles: Definition, Computation, and Its Application

Persistence diagrams, which summarize the birth and death of homological...

0 Tamal K. Dey, et al. ∙

research

∙ 10/10/2018

Filtration Simplification for Persistent Homology via Edge Contraction

Persistent homology is a popular data analysis technique that is used to...

0 Tamal K. Dey, et al. ∙

research

∙ 07/10/2018

Computing Height Persistence and Homology Generators in R^3 Efficiently

Recently it has been shown that computing the dimension of the first hom...

0 Tamal K. Dey, et al. ∙

research

∙ 03/14/2018

Graph Reconstruction by Discrete Morse Theory

Recovering hidden graph-like structures from potentially noisy data is a...

0 Tamal K. Dey, et al. ∙

research

∙ 03/07/2018

Computing Bottleneck Distance for 2-D Interval Decomposable Modules

Computation of the interleaving distance between persistence modules is ...

0 Tamal K. Dey, et al. ∙

research

∙ 01/21/2018

Efficient algorithms for computing a minimal homology basis

Efficient computation of shortest cycles which form a homology basis und...

0 Tamal K. Dey, et al. ∙

research

∙ 01/19/2018

Persistent Homology of Morse Decompositions in Combinatorial Dynamics

We investigate combinatorial dynamical systems on simplicial complexes c...

0 Tamal K. Dey, et al. ∙

research

∙ 07/31/2017

Temporal Hierarchical Clustering

We study hierarchical clusterings of metric spaces that change over time...

0 Tamal K. Dey, et al. ∙

Tamal K. Dey

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