1 citations · 1 across the 5 of their papers we have counts for
5 papers
Diffusion Computation versus Quantum Computation: A Comparative Model for Order Finding and Factoring
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
We study a hybrid computational model for integer factorization in which the only non-classical resource is access to an \emph{iterated diffusion process} on a finite graph. Concre…
Diffusion Maps for Group-Invariant Manifolds
Paulina Hoyos, Joe Kileel
In this article, we consider the manifold learning problem when the data set is invariant under the action of a compact Lie group . Our approach consists in augmenting the data-…
Discrete diffusion-type equation on regular graphs and its applications
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
We derive an explicit formula for the fundamental solution to the discrete-time diffusion equation on the -regular tree in terms of the di…
On an approach for evaluating certain trigonometric character sums using the discrete time heat kernel
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
In this article we develop a general method by which one can explicitly evaluate certain sums of -th powers of products of elementary trigonometric functions evaluated…
An integer factorization algorithm which uses diffusion as a computational engine
Carlos A. Cadavid, Paulina Hoyos, Jay Jorgenson +2
In this article we develop an algorithm which computes a divisor of an integer , which is assumed to be neither prime nor the power of a prime. The algorithm uses discrete time…