94 citations · 196 across the 20 of their papers we have counts for
22 papers
Pruning AMR: Efficient Visualization of Implicit Neural Representations via Weight Matrix Analysis
Jennifer Zvonek, Andrew Gillette
An implicit neural representation (INR) is a neural network that approximates a spatiotemporal function. Many memory-intensive visualization tasks, including modern 4D CT scanning…
Leveraging Interpolation Models and Error Bounds for Verifiable Scientific Machine Learning
Tyler Chang, Andrew Gillette, Romit Maulik
Effective verification and validation techniques for modern scientific machine learning workflows are challenging to devise. Statistical methods are abundant and easily deployed, b…
Learning robust marking policies for adaptive mesh refinement
Andrew Gillette, Brendan Keith, Socratis Petrides
In this work, we revisit the marking decisions made in the standard adaptive finite element method (AFEM). Experience shows that a naïve marking policy leads to inefficient use of…
The Delaunay Density Diagnostic
Andrew Gillette, Eugene Kur
Accurate approximation of a real-valued function depends on two aspects of the available data: the density of inputs within the domain of interest and the variation of the outputs…
Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake
Justin Crum, Cyrus Cheng, David A. Ham +4
We present an implementation of the trimmed serendipity finite element family, using the open source finite element package Firedrake. The new elements can be used seamlessly withi…
Extending discrete exterior calculus to a fractional derivative
Justin Crum, Joshua A. Levine, Andrew Gillette
Fractional partial differential equations (FDEs) are used to describe phenomena that involve a "non-local" or "long-range" interaction of some kind. Accurate and practical numerica…