2 citations · 3 across the 9 of their papers we have counts for
3 papers · 1 filter
Parseval Convolution Operators and Neural Networks
Michael Unser, Stanislas Ducotterd
We first establish a kernel theorem that characterizes all linear shift-invariant (LSI) operators acting on discrete multicomponent signals. This result naturally leads to the iden…
Optical Diffraction Tomography Meets Fluorescence Localization Microscopy
Thanh-An Pham, Emmanuel Soubies, Ferréol Soulez +1
We show that structural information can be extracted from single molecule localization microscopy (SMLM) data. More precisely, we reinterpret SMLM data as the measures of a phasele…
Delaunay-Triangulation-Based Learning with Hessian Total-Variation Regularization
Mehrsa Pourya, Alexis Goujon, Michael Unser
Regression is one of the core problems tackled in supervised learning. Rectified linear unit (ReLU) neural networks generate continuous and piecewise-linear (CPWL) mappings and are…