50 citations · 177 across the 8 of their papers we have counts for
8 papers
Kronecker Product of Tensors and Hypergraphs: Structure and Dynamics
Joshua Pickard, Can Chen, Cooper Stansbury +3
Hypergraphs and tensors extend classic graph and matrix theory to account for multiway relationships, which are ubiquitous in engineering, biological, and social systems. While the…
Hypergraph Analysis Toolbox for Chromosome Conformation
Joshua Pickard, Can Chen, Rahmy Salman +5
Recent advances in biological technologies, such as multi-way chromosome conformation capture (3C), require development of methods for analysis of multi-way interactions. Hypergrap…
Hypergraph Dissimilarity Measures
Amit Surana, Can Chen, Indika Rajapakse
In this paper, we propose two novel approaches for hypergraph comparison. The first approach transforms the hypergraph into a graph representation for use of standard graph dissimi…
Controllability of Hypergraphs
Can Chen, Amit Surana, Anthony Bloch +1
In this paper, we develop a notion of controllability for hypergraphs via tensor algebra and polynomial control theory. Inspired by uniform hypergraphs, we propose a new tensor-bas…
Data-Driven Model Reduction for Multilinear Control Systems via Tensor Trains
Can Chen, Amit Surana, Anthony Bloch +1
In this paper, we explore the role of tensor algebra in balanced truncation (BT) based model reduction/identification for high-dimensional multilinear/linear time invariant systems…
Tensor Entropy for Uniform Hypergraphs
Can Chen, Indika Rajapakse
In this paper, we develop the notion of entropy for uniform hypergraphs via tensor theory. We employ the probability distribution of the generalized singular values, calculated fro…