HyperMagNet: A Magnetic Laplacian based Hypergraph Neural Network

no code implementations • 15 Feb 2024 • Tatyana Benko, Martin Buck, Ilya Amburg, Stephen J. Young, Sinan G. Aksoy

In data science, hypergraphs are natural models for data exhibiting multi-way relations, whereas graphs only capture pairwise.

Node Classification

Scalable tensor methods for nonuniform hypergraphs

1 code implementation • 30 Jun 2023 • 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 practical barriers.

Seven open problems in applied combinatorics

no code implementations • 20 Mar 2023 • Sinan G. Aksoy, Ryan Bennink, Yuzhou Chen, José Frías, Yulia R. Gel, Bill Kay, Uwe Naumann, Carlos Ortiz Marrero, Anthony V. Petyuk, Sandip Roy, Ignacio Segovia-Dominguez, Nate Veldt, Stephen J. Young

We present and discuss seven different open problems in applied combinatorics.

Topological Data Analysis

Relative Hausdorff Distance for Network Analysis

no code implementations • 12 Jun 2019 • Sinan G. Aksoy, Kathleen E. Nowak, Emilie Purvine, Stephen J. Young

Similarity measures are used extensively in machine learning and data science algorithms.