2 papers
cs.LG2026
A Nonlinear Singular Value Theory for Neural Networks
Brian Charles Brown, Robert Bridges, David Grimsman +2
Recently Brown et al. [2025] established a singular value decomposition (SVD) for maps (especially nonlinear) satisfying certain norm conditions. We prove that most modern neural a…
math.OC2026
Gramians for a New Class of Nonlinear Control Systems Using Koopman and a Novel Generalized SVD
Brian Brown, Michael King
Certified model reduction for high-dimensional nonlinear control systems remains challenging: unlike balanced truncation for LTI systems, most nonlinear reduction methods either la…