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math.OC2022
Flatness of the nuclear norm sphere, simultaneous polarization, and uniqueness in nuclear norm minimization
Tim Hoheisel, Elliot Paquette
In this paper we establish necessary and sufficient conditions for the existence of line segments (or flats) in the sphere of the nuclear norm via the notion of simultaneous polari…
math.OC2022
LASSO reloaded: a variational analysis perspective with applications to compressed sensing
Aaron Berk, Simone Brugiapaglia, Tim Hoheisel
This paper provides a variational analysis of the unconstrained formulation of the LASSO problem, ubiquitous in statistical learning, signal processing, and inverse problems. In pa…