13 citations · 22 across the 8 of their papers we have counts for
8 papers
Enabling Real-Time Training of a Wildfire-to-Smoke Map with Multilinear Operators
Zachary Morrow, Joseph Crockett, John D. Jakeman +1
Wildfires are a major producer of fine particulate matter, impacting human health and the electrical grid. Accurately forecasting smoke impacts over long time scales incorporates f…
An Optimal Weighted Least-Squares Method for Operator Learning
John Turnage, Matthew Lowery, John Jakeman +3
We consider the problem of learning an unknown, possibly nonlinear operator between separable Hilbert spaces from supervised data. Inputs are drawn from a prescribed probability me…
SUPN: Shallow Universal Polynomial Networks for Efficient Function Approximation
Zachary Morrow, Michael Penwarden, Brian Chen +3
Deep neural networks (DNNs) and Kolmogorov-Arnold networks (KANs) are flexible function approximators, but their accuracy can require substantial network depth, width, and trainabl…
Toward real-time optimization through model reduction and model discrepancy sensitivities
Joseph Hart, Shane A. McQuarrie, Zachary Morrow +1
Optimization problems arise in a range of scenarios, from optimal control to model parameter estimation. In many applications, such as the development of digital twins, it is essen…
Glyph-Based Uncertainty Visualization and Analysis of Time-Varying Vector Fields
Timbwaoga A. J. Ouermi, Jixian Li, Zachary Morrow +2
Uncertainty is inherent to most data, including vector field data, yet it is often omitted in visualizations and representations. Effective uncertainty visualization can enhance th…
Kernel Neural Operators (KNOs) for Scalable, Memory-efficient, Geometrically-flexible Operator Learning
Matthew Lowery, John Turnage, Zachary Morrow +4
This paper introduces the Kernel Neural Operator (KNO), a provably convergent operator-learning architecture that utilizes compositions of deep kernel-based integral operators for…
Adaptive Basis Sets for Practical Quantum Computing
Hyuk-Yong Kwon, Gregory M. Curtin, Zachary Morrow +2
Electronic structure calculations on small systems such as H, HO, LiH, and BeH with chemical accuracy are still a challenge for the current generation of the noisy inte…
A Method for Dimensionally Adaptive Sparse Trigonometric Interpolation of Periodic Functions
Zack Morrow, Miroslav Stoyanov
We present a method for dimensionally adaptive sparse trigonometric interpolation of multidimensional periodic functions belonging to a smoothness class of finite order. This metho…