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…
cs.LG2026
Orthogonal Dendritic Intrinsic Networks: An Architecture for Significance-Ordered, Orthogonal Latent Spaces
Jeanie Schreiber, Tyrus Berry, Zeeshan Ahmed
Principal Component Analysis or PCA-like properties (orthogonality, variance ranking) are seldom realized in deep autoencoder architectures. In this work, we present ODIN (Orthogon…
cs.LG2023
On-Manifold Projected Gradient Descent
Aaron Mahler, Tyrus Berry, Tom Stephens +4
This work provides a computable, direct, and mathematically rigorous approximation to the differential geometry of class manifolds for high-dimensional data, along with nonlinear p…