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math.FA2026
Splines and Operators: Part II - Resolution of Inverse Problems
Michael Unser
We present a unified treatment of the data-fitting problems with quadratic (Hilbertian) regularization that arise in approximation theory, machine learning, engineering, and statis…
math.FA2026
Splines and Operators: Part I - Admissibility and Native Spaces
Michael Unser
The variational theory of splines requires a native space: a Hilbert space over which the regularization energy is well defined and the minimum-energy in…