6 citations · 13 across the 10 of their papers we have counts for
11 papers
Rethinking the Relationship between Recurrent and Non-Recurrent Neural Networks: A Study in Sparsity
Quincy Hershey, Randy Paffenroth, Harsh Pathak +1
Neural networks (NN) can be divided into two broad categories, recurrent and non-recurrent. Both types of neural networks are popular and extensively studied, but they are often tr…
Understanding the impact of numerical solvers on inference for differential equation models
Richard Creswell, Katherine M. Shepherd, Ben Lambert +5
Most ordinary differential equation (ODE) models used to describe biological or physical systems must be solved approximately using numerical methods. Perniciously, even those solv…
Autocorrelated measurement processes and inference for ordinary differential equation models of biological systems
Ben Lambert, Chon Lok Lei, Martin Robinson +5
Ordinary differential equation models are used to describe dynamic processes across biology. To perform likelihood-based parameter inference on these models, it is necessary to spe…
Error estimation for the time to a threshold value in evolutionary partial differential equations
Jehanzeb Chaudhry, Don Estep, Trevor Giannini +2
We develop an \textit{a posteriori} error analysis for a numerical estimate of the time at which a functional of the solution to a partial differential equation (PDE) first achieve…
A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations
Jehanzeb Chaudhry, Donald Estep, Simon Tavener
We construct a space-time parallel method for solving parabolic partial differential equations by coupling the Parareal algorithm in time with overlapping domain decomposition in s…
Error estimation and uncertainty quantification for first time to a threshold value
Jehanzeb H. Chaudhry, Donald Estep, Zachary Stevens +1
Classical a posteriori error analysis for differential equations quantifies the error in a Quantity of Interest (QoI) which is represented as a bounded linear functional of the sol…