
Simplicial Complex Representation Learning
Simplicial complexes form an important class of topological spaces that ...
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Persistent Homology and Graphs Representation Learning
This article aims to study the topological invariant properties encoded ...
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Topological Deep Learning: Classification Neural Networks
Topological deep learning is a formalism that is aimed at introducing to...
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TDANet: Fusion of Persistent Homology and Deep Learning Features for COVID19 Detection in Chest XRay Images
Topological Data Analysis (TDA) has emerged recently as a robust tool to...
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AlgebraicallyInformed Deep Networks (AIDN): A Deep Learning Approach to Represent Algebraic Structures
One of the central problems in the interface of deep learning and mathem...
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Cell Complex Neural Networks
Cell complexes are topological spaces constructed from simple blocks cal...
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A Topological Framework for Deep Learning
We utilize classical facts from topology to show that the classification...
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PageRank and The KMeans Clustering Algorithm
We introduce a graph clustering algorithm that generalizes kmeans to gr...
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Graph Similarity Using PageRank and Persistent Homology
The PageRank of a graph is a scalar function defined on the node set of ...
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Big Data Approaches to Knot Theory: Understanding the Structure of the Jones Polynomial
We examine the structure and dimensionality of the Jones polynomial usin...
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Propagate and Pair: A SinglePass Approach to Critical Point Pairing in Reeb Graphs
With the popularization of Topological Data Analysis, the Reeb graph has...
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TopoLines: Topological Smoothing for Line Charts
Line charts are commonly used to visualize a series of data samples. Whe...
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Mesh Learning Using Persistent Homology on the Laplacian Eigenfunctions
We use persistent homology along with the eigenfunctions of the Laplacia...
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Integrating Project Spatial Coordinates into Pavement Management Prioritization
To date, pavement management software products and studies on optimizing...
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An Efficient Data Retrieval Parallel Reeb Graph Algorithm
The Reeb graph of a scalar function defined on a domain gives a topologi...
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Inferring Quality in Point Cloudbased 3D Printed Objects using Topological Data Analysis
Assessing the quality of 3D printed models before they are printed remai...
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Graph Based Analysis for Gene Segment Organization In a Scrambled Genome
DNA rearrangement processes recombine gene segments that are organized o...
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Driving Interactive Graph Exploration Using 0Dimensional Persistent Homology Features
Graphs are commonly used to encode relationships among entities, yet, th...
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Distributed Mapper
The construction of Mapper has emerged in the last decade as a powerful ...
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The Shape of an Image: A Study of Mapper on Images
We study the topological construction called Mapper in the context of si...
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Visual Detection of Structural Changes in TimeVarying Graphs Using Persistent Homology
Topological data analysis is an emerging area in exploratory data analys...
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Segmenting a Surface Mesh into Pants Using Morse Theory
A pair of pants is a genus zero orientable surface with three boundary c...
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Mustafa Hajij
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