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Concept

Smoothing spline

Publications associées (4)

Stability: a search for structure

Wouter Jongeneel

In this thesis we study stability from several viewpoints. After covering the practical importance, the rich history and the ever-growing list of manifestations of stability, we study the following. (i) (Statistical identification of stable dynamical syste ...

EPFL2024

Bayesian Denoising: From MAP to MMSE Using Consistent Cycle Spinning

Michaël Unser, Ulugbek Kamilov, Emrah Bostan

We introduce a new approach for the implementation of minimum mean-square error (MMSE) denoising for signals with decoupled derivatives. Our method casts the problem as a penalized least-squares regression in the redundant wavelet domain. It exploits the l ...

IEEE Institute of Electrical and Electronics Engineers2013

Self-Similarity: Part I—Splines and Operators

Michaël Unser, Thierry Blu

The central theme of this pair of papers (Parts I and II in this issue) is self-similarity, which is used as a bridge for connecting splines and fractals. The first part of the investigation is deterministic, and the context is that of L-splines; these are ...

IEEE2007

Matérn B-Splines and the Optimal Reconstruction of Signals

Michaël Unser, Sathish Ramani

Starting from the power spectral density of Matérn stochastic processes, we introduce a new family of splines that is defined in terms of the whitening operator of such processes. We show that these Matérn splines admit a stable representation in a B-splin ...

IEEE Institute of Electrical and Electronics Engineers2006