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Publications associées (38)
Stability of Image-Reconstruction Algorithms
Michaël Unser, Sebastian Jonas Neumayer, Pol del Aguila Pla
Robustness and stability of image-reconstruction algorithms have recently come under scrutiny. Their importance to medical imaging cannot be overstated. We review the known results for the topical variational regularization strategies ( ℓ2 and ℓ1 regulariz ...
2023Gradient-based optimisation of the conditional-value-at-risk using the multi-level Monte Carlo method
Fabio Nobile, Sundar Subramaniam Ganesh
In this work, we tackle the problem of minimising the Conditional-Value-at-Risk (CVaR) of output quantities of complex differential models with random input data, using gradient-based approaches in combination with the Multi-Level Monte Carlo (MLMC) method ...
2022MATHICSE Technical Report: THU-Splines - Highly Localized Refinement on Smooth Unstructured Splines
We present a novel method named truncated hierarchical unstructured splines (THU-splines) that supports both local h-refinement and unstructured quadrilateral meshes. In a THU-spline construction, an unstructured quadrilateral mesh is taken as the input co ...
MATHICSE2021A Newton Frank-Wolfe method for constrained self-concordant minimization
We develop a new Newton Frank-Wolfe algorithm to solve a class of constrained self-concordant minimization problems using linear minimization oracles (LMO). Unlike L-smooth convex functions, where the Lipschitz continuity of the objective gradient holds gl ...
SPRINGER2021A Note on BIBO Stability
The statements on the BIBO stability of continuoustime convolution systems found in engineering textbooks are often either too vague (because of lack of hypotheses) or mathematically incorrect. What is more troubling is that they usually exclude the identi ...
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020Semi-discrete optimal transport: a solution procedure for the unsquared Euclidean distance case
We consider the problem of finding an optimal transport plan between an absolutely continuous measure and a finitely supported measure of the same total mass when the transport cost is the unsquared Euclidean distance. We may think of this problem as close ...
SPRINGER HEIDELBERG2020Quenched convergence and strong local equilibrium for asymmetric zero-range process with site disorder
We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the number of particles. We prove quenched strong local equilibrium at subcritica ...
SPRINGER HEIDELBERG2020On the density of the supremum of the solution to the linear stochastic heat equation
We study the regularity of the probability density function of the supremum of the solution to the linear stochastic heat equation. Using a general criterion for the smoothness of densities for locally nondegenerate random variables, we establish the smoot ...
SPRINGER2020Coherent actions by homeomorphisms on the real line or an interval
We study actions of groups by orientation preserving homeomorphisms on R (or an interval) that are minimal, have solvable germs at +/-infinity and contain a pair of elements of a certain dynamical type. We call such actions coherent. We establish that such ...
HEBREW UNIV MAGNES PRESS2020Hydrodynamics In A Condensation Regime: The Disordered Asymmetric Zero-Range Process
We study asymmetric zero-range processes on Z with nearest-neighbour jumps and site disorder. The jump rate of particles is an arbitrary but bounded nondecreasing function of the number of particles. For any given environment satisfying suitable averaging ...
INST MATHEMATICAL STATISTICS2020