3 papers
cond-mat.mtrl-sci2026
Topology of Shape and Data in Material Microstructures
Jeanie Schreiber, Zachary Grey, Adam Creuziger
One of the challenges in microstructure analysis is the rigorous quantification of the shape, size, and spatial arrangement of the microstructure beyond comparison of average value…
math.NA2026
A Riemannian View on Active Subspaces
Zachary Grey
Active subspaces provide an explainable, eigenvalue-ordered principle for studying how scalar-valued quantities of interest change the most, on average, over a reduced basis of Euc…
cs.CV2024
Explainable Binary Classification of Separable Shape Ensembles
Zachary Grey, Nicholas Fisher, Andrew Glaws
Scientists, engineers, biologists, and technology specialists universally leverage image segmentation to extract shape ensembles containing many thousands of curves representing pa…