11 citations · 11 across the 4 of their papers we have counts for
4 papers
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…
A Tri-Level Optimization Model for Interdependent Infrastructure Network Resilience Against Compound Hazard Events
Matthew R. Oster, Ilya Amburg, Samrat Chatterjee +4
Resilient operation of interdependent infrastructures against compound hazard events is essential for maintaining societal well-being. To address consequence assessment challenges…
Community Detection in Hypergraphs via Mutual Information Maximization
Jurgen Kritschgau, Daniel Kaiser, Oliver Alvarado Rodriguez +7
The hypergraph community detection problem seeks to identify groups of related nodes in hypergraph data. We propose an information-theoretic hypergraph community detection algorith…
States that "look the same" with respect to every basis in a mutually unbiased set
Ilya Amburg, Roshan Sharma, Daniel Sussman +1
A complete set of mutually unbiased bases in a Hilbert space of dimension defines a set of orthogonal measurements. Relative to such a set, we define a "MUB-balanced stat…