Author

Michael Unser

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Preprint Oct 2026

Splines and Operators: Part II - Resolution of Inverse Problems

We present a unified treatment of the data-fitting problems with quadratic (Hilbertian) regularization that arise in approximation theory, machine learning, engineering, and statistics. The generic problem is an optimization in the continuum: given $M$ linear measurements of an unknown function, one minimizes a convex...

Michael Unser · 0 citations

#machine learning Preprint Aug 2026

Generalized Splines and Gaussian Processes

For finite-dimensional linear inverse problems where the variables are Gaussian, it is well-known that the minimum-mean-square error estimator takes the form of a regularized least-squares data fit. In this chapter, we show that this equivalence extends to a much broader infinite-dimensional setting where generalized s...

Michael Unser · 0 citations