2 papers
math.OC2026
Minimal intersection radius for growing, non-homogeneous ellipsoids in
Barbara Giunti, Sean Hill, Felix X. -F. Ye
In this paper, we compute the Minimal Intersection Radius (MIR) of growing, non-homogeneous ellipsoids in arbitrary ambient dimension. We provide a geometric method to find the MIR…
cs.LG2026
Geometric regularization of autoencoders via observed stochastic dynamics
Sean Hill, Felix X. -F. Ye
Stochastic dynamical systems with slow or metastable behavior evolve, on long time scales, on an unknown low-dimensional manifold in high-dimensional ambient space. Building a redu…