73 citations · 141 across the 26 of their papers we have counts for
8 papers · 1 filter
Fast Parallel Tensor Times Same Vector for Hypergraphs
Shruti Shivakumar, Ilya Amburg, Sinan G. Aksoy +3
Hypergraphs are a popular paradigm to represent complex real-world networks exhibiting multi-way relationships of varying sizes. Mining centrality in hypergraphs via symmetric adja…
Hypergraph Topological Features for Autoencoder-Based Intrusion Detection for Cybersecurity Data
Bill Kay, Sinan G. Aksoy, Molly Baird +8
In this position paper, we argue that when hypergraphs are used to capture multi-way local relations of data, their resulting topological features describe global behaviour. Conseq…
Stepping out of Flatland: Discovering Behavior Patterns as Topological Structures in Cyber Hypergraphs
Helen Jenne, Sinan G. Aksoy, Daniel Best +9
Data breaches and ransomware attacks occur so often that they have become part of our daily news cycle. This is due to a myriad of factors, including the increasing number of inter…
HyperNetX: A Python package for modeling complex network data as hypergraphs
Brenda Praggastis, Sinan Aksoy, Dustin Arendt +5
HyperNetX (HNX) is an open source Python library for the analysis and visualization of complex network data modeled as hypergraphs. Initially released in 2019, HNX facilitates expl…
Malicious Cyber Activity Detection Using Zigzag Persistence
Audun Myers, Alyson Bittner, Sinan Aksoy +8
In this study we synthesize zigzag persistence from topological data analysis with autoencoder-based approaches to detect malicious cyber activity and derive analytic insights. Cyb…
Scalable tensor methods for nonuniform hypergraphs
Sinan G. Aksoy, Ilya Amburg, Stephen J. Young
While multilinear algebra appears natural for studying the multiway interactions modeled by hypergraphs, tensor methods for general hypergraphs have been stymied by theoretical and…
Filtering higher-order datasets
Nicholas W. Landry, Ilya Amburg, Mirah Shi +1
Many complex systems often contain interactions between more than two nodes, known as higher-order interactions, which can change the structure of these systems in significant ways…
Seven open problems in applied combinatorics
Sinan G. Aksoy, Ryan Bennink, Yuzhou Chen +10
We present and discuss seven different open problems in applied combinatorics. The application areas relevant to this compilation include quantum computing, algorithmic differentia…