Mustafa Hajij | DeepAI

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∙ 04/20/2023

Architectures of Topological Deep Learning: A Survey on Topological Neural Networks

The natural world is full of complex systems characterized by intricate ...

0 Mathilde Papillon, et al. ∙

∙ 06/01/2022

Higher-Order Attention Networks

This paper introduces higher-order attention networks (HOANs), a novel c...

0 Mustafa Hajij, et al. ∙

∙ 10/11/2021

Signal Processing on Cell Complexes

The processing of signals supported on non-Euclidean domains has attract...

0 T. Mitchell Roddenberry, et al. ∙

∙ 10/06/2021

Data-Centric AI Requires Rethinking Data Notion

The transition towards data-centric AI requires revisiting data notions ...

0 Mustafa Hajij, et al. ∙

∙ 03/06/2021

Simplicial Complex Representation Learning

Simplicial complexes form an important class of topological spaces that ...

0 Mustafa Hajij, et al. ∙

∙ 02/25/2021

Persistent Homology and Graphs Representation Learning

This article aims to study the topological invariant properties encoded ...

0 Mustafa Hajij, et al. ∙

∙ 02/16/2021

Topological Deep Learning: Classification Neural Networks

Topological deep learning is a formalism that is aimed at introducing to...

0 Mustafa Hajij, et al. ∙

∙ 01/21/2021

TDA-Net: Fusion of Persistent Homology and Deep Learning Features for COVID-19 Detection in Chest X-Ray Images

Topological Data Analysis (TDA) has emerged recently as a robust tool to...

0 Mustafa Hajij, et al. ∙

∙ 12/02/2020

Algebraically-Informed Deep Networks (AIDN): A Deep Learning Approach to Represent Algebraic Structures

One of the central problems in the interface of deep learning and mathem...

0 Mustafa Hajij, et al. ∙

∙ 10/02/2020

Cell Complex Neural Networks

Cell complexes are topological spaces constructed from simple blocks cal...

0 Mustafa Hajij, et al. ∙

∙ 08/31/2020

A Topological Framework for Deep Learning

We utilize classical facts from topology to show that the classification...

0 Mustafa Hajij, et al. ∙

∙ 05/10/2020

PageRank and The K-Means Clustering Algorithm

We introduce a graph clustering algorithm that generalizes k-means to gr...

0 Mustafa Hajij, et al. ∙

∙ 02/12/2020

Graph Similarity Using PageRank and Persistent Homology

The PageRank of a graph is a scalar function defined on the node set of ...

11 Mustafa Hajij, et al. ∙

∙ 12/20/2019

Big Data Approaches to Knot Theory: Understanding the Structure of the Jones Polynomial

We examine the structure and dimensionality of the Jones polynomial usin...

0 Jesse S F Levitt, et al. ∙

∙ 09/04/2019

Propagate and Pair: A Single-Pass Approach to Critical Point Pairing in Reeb Graphs

With the popularization of Topological Data Analysis, the Reeb graph has...

0 Junyi Tu, et al. ∙

∙ 06/22/2019

TopoLines: Topological Smoothing for Line Charts

Line charts are commonly used to visualize a series of data samples. Whe...

0 Ashley Suh, et al. ∙

∙ 04/21/2019

Mesh Learning Using Persistent Homology on the Laplacian Eigenfunctions

We use persistent homology along with the eigenfunctions of the Laplacia...

0 Yunhao Zhang, et al. ∙

∙ 11/05/2018

Integrating Project Spatial Coordinates into Pavement Management Prioritization

To date, pavement management software products and studies on optimizing...

0 Omar Elbagalati, et al. ∙

∙ 10/18/2018

An Efficient Data Retrieval Parallel Reeb Graph Algorithm

The Reeb graph of a scalar function defined on a domain gives a topologi...

0 Mustafa Hajij, et al. ∙

∙ 07/09/2018

Inferring Quality in Point Cloud-based 3D Printed Objects using Topological Data Analysis

Assessing the quality of 3D printed models before they are printed remai...

0 Paul Rosen, et al. ∙

∙ 01/18/2018

Graph Based Analysis for Gene Segment Organization In a Scrambled Genome

DNA rearrangement processes recombine gene segments that are organized o...

0 Mustafa Hajij, et al. ∙

∙ 12/15/2017

Driving Interactive Graph Exploration Using 0-Dimensional Persistent Homology Features

Graphs are commonly used to encode relationships among entities, yet, th...

0 Ashley Suh, et al. ∙

∙ 12/11/2017

Distributed Mapper

The construction of Mapper has emerged in the last decade as a powerful ...

0 Mustafa Hajij, et al. ∙

∙ 10/24/2017

The Shape of an Image: A Study of Mapper on Images

We study the topological construction called Mapper in the context of si...

0 Alejandro Robles, et al. ∙

∙ 07/20/2017

Visual Detection of Structural Changes in Time-Varying Graphs Using Persistent Homology

Topological data analysis is an emerging area in exploratory data analys...

0 Mustafa Hajij, et al. ∙

∙ 08/23/2016

Segmenting a Surface Mesh into Pants Using Morse Theory

A pair of pants is a genus zero orientable surface with three boundary c...

0 Mustafa Hajij, et al. ∙

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