31 citations · 72 across the 10 of their papers we have counts for
12 papers
Modeling Information Flow with a Multi-Stage Queuing Mode
Mohammad Daneshvar, Richard C. Barnard, Cory Hauck +1
In this paper, we introduce a nonlinear stochastic model to describe the propagation of information inside a computer processor. In this model, a computational task is divided into…
A mathematical model of asynchronous data flow in parallel computers
Richard C Barnard, Kai Huang, Cory Hauck
We present a simplified model of data flow on processors in a high performance computing framework involving computations necessitating inter-processor communications. From this or…
Three Convolution Inequalities on the Real Line with Connections to Additive Combinatorics
Richard C. Barnard, Stefan Steinerberger
We discuss three convolution inequalities that are connected to additive combinatorics. Cloninger and the second author showed that for nonnegative , $$ \max_…
A Bilevel Approach for Parameter Learning in Inverse Problems
Gernot Holler, Karl Kunisch, Richard C. Barnard
A learning approach to selecting regularization parameters in multi-penalty Tikhonov regularization is investigated. It leads to a bilevel optimization problem, where the lower lev…
Scientific Data Interpolation with Low Dimensional Manifold Model
Wei Zhu, Bao Wang, Richard Barnard +3
We propose to apply a low dimensional manifold model to scientific data interpolation from regular and irregular samplings with a significant amount of missing information. The low…
Accelerating optimization-based computed tomography via sparse matrix approximations
Richard C. Barnard, Rick Archibald
Variational formulations of reconstruction in computed tomography have the notable drawback of requiring repeated evaluations of both the forward Radon transform and either its adj…