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Sparsest Univariate Learning Models Under Lipschitz Constraint
Shayan Aziznejad, Thomas Debarre, Michael Unser
Beside the minimization of the prediction error, two of the most desirable properties of a regression scheme are stability and interpretability. Driven by these principles, we prop…
Artifacts in optical projection tomography due to refractive index mismatch: model and correction
Yan Liu, Jonathan Dong, Cédric Schmidt +3
Optical Projection Tomography (OPT) is a powerful tool for 3D imaging of mesoscopic samples, thus of great importance to image whole organs for the study of various disease models…
Diffraction Tomography with Helmholtz Equation: Efficient and Robust Multigrid-Based Solver
Tao Hong, Thanh-an Pham, Eran Treister +1
Diffraction tomography is a noninvasive technique that estimates the refractive indices of unknown objects and involves an inverse-scattering problem governed by the wave equation.…
Continuous-Domain Formulation of Inverse Problems for Composite Sparse-Plus-Smooth Signals
Thomas Debarre, Shayan Aziznejad, Michael Unser
We present a novel framework for the reconstruction of 1D composite signals assumed to be a mixture of two additive components, one sparse and the other smooth, given a finite numb…