2 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…