13 citations · 22 across the 7 of their papers we have counts for
7 papers
Geometric Aspects of Observability of Hypergraphs
Joshua Pickard, Cooper Stansbury, Amit Surana +2
In this paper we consider aspects of geometric observability for hypergraphs, extending our earlier work from the uniform to the nonuniform case. Hypergraphs, a generalization of g…
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…
Observability of Hypergraphs
Joshua Pickard, Amit Surana, Anthony Bloch +1
In this paper we develop a framework to study observability for uniform hypergraphs. Hypergraphs, being extensions of graphs, allow edges to connect multiple nodes and unambiguousl…
Efficient Quantum Algorithms for Nonlinear Stochastic Dynamical Systems
Abeynaya Gnanasekaran, Amit Surana, Tuhin Sahai
In this paper, we propose efficient quantum algorithms for solving nonlinear stochastic differential equations (SDE) via the associated Fokker-Planck equation (FPE). We discretize…
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…
An efficient quantum algorithm for simulating polynomial differential equations
Amit Surana, Abeynaya Gnanasekaran, Tuhin Sahai
We present an efficient quantum algorithm to simulate nonlinear differential equations with polynomial vector fields of arbitrary degree on quantum platforms. Models of physical sy…
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…