3 papers
cs.LG2026
Manifold-Aware Perturbations for Constrained Generative Modeling
Katherine Keegan, Lars Ruthotto
Generative models have enjoyed widespread success in a variety of applications. However, they encounter inherent mathematical limitations in modeling distributions where samples ar…
math.NA2024
Projected Tensor-Tensor Products for Efficient Computation of Optimal Multiway Data Representations
Katherine Keegan, Elizabeth Newman
Tensor decompositions have become essential tools for feature extraction and compression of multiway data. Recent advances in tensor operators have enabled desirable properties of…
math.NA2024
Optimal Matrix-Mimetic Tensor Algebras via Variable Projection
Elizabeth Newman, Katherine Keegan
Recent advances in {matrix-mimetic} tensor frameworks have made it possible to preserve linear algebraic properties for multilinear data analysis and, as a result, to obtain optima…