10 citations · 10 across the 7 of their papers we have counts for
7 papers
A Blue Start: A large-scale pairwise and higher-order social network dataset
Alyssa Smith, Ilya Amburg, Sagar Kumar +2
Large-scale networks have been instrumental in shaping how we think about social systems, and have undergirded many foundational results in mathematical epidemiology, computational…
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…
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…
Retrieving Top-k Hyperedge Triplets: Models and Applications
Jason Niu, Ilya D. Amburg, Sinan G. Aksoy +1
Complex systems frequently exhibit multi-way, rather than pairwise, interactions. These group interactions cannot be faithfully modeled as collections of pairwise interactions usin…
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…
High-order Line Graphs of Non-uniform Hypergraphs: Algorithms, Applications, and Experimental Analysis
Xu T. Liu, Jesun Firoz, Sinan Aksoy +5
Hypergraphs offer flexible and robust data representations for many applications, but methods that work directly on hypergraphs are not readily available and tend to be prohibitive…