3 papers
cs.LG2025
HyperMagNet: A Magnetic Laplacian based Hypergraph Neural Network
Tatyana Benko, Martin Buck, Ilya Amburg +2
In data science, hypergraphs are natural models for data exhibiting multi-way relations, whereas graphs only capture pairwise. Nonetheless, many proposed hypergraph neural networks…
math.CO2025
Re-imagining Spectral Graph Theory
Sinan G. Aksoy, Stephen J. Young
We propose a Laplacian based on general inner product spaces, which we call the inner product Laplacian. We show the combinatorial and normalized graph Laplacians, as well as other…
cs.LG2024
Randomized Algorithms for Symmetric Nonnegative Matrix Factorization
Koby Hayashi, Sinan G. Aksoy, Grey Ballard +1
Symmetric Nonnegative Matrix Factorization (SymNMF) is a technique in data analysis and machine learning that approximates a symmetric matrix with a product of a nonnegative, low-r…