Concept
Peano existence theorem
Related publications (13)
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 ...
2022Sampling and Reconstruction of Bandlimited Signals with Multi-Channel Time Encoding
Martin Vetterli, Adam James Scholefield, Karen Adam
Sampling is classically performed by recording the amplitude of the input at given time instants; however, sampling and reconstructing a signal using multiple devices in parallel becomes a more difficult problem to solve when the devices have an unknown sh ...
2020Calculus of variations: A differential form approach
We study integrals of the form integral(Omega) f(d omega(1), ..., d omega(m)), where m >= 1 is a given integer, 1
WALTER DE GRUYTER GMBH2019Existence and Uniqueness of Maximal Regular Flows for Non-smooth Vector Fields
In this paper we provide a complete analogy between the Cauchy-Lipschitz and the DiPerna-Lions theories for ODE's, by developing a local version of the DiPerna-Lions theory. More precisely, we prove the existence and uniqueness of a maximal regular flow fo ...
2015A reduced basis hybrid method for the coupling of parametrized domains represented by fluidic networks
Alfio Quarteroni, Gianluigi Rozza, Laura Iapichino
In this paper we propose a reduced basis hybrid method (RBHM) for the approximation of partial differential equations in domains represented by complex networks where topological features are recurrent. The RBHM is applied to Stokes equations in domains wh ...
Elsevier2012Input Filter Design for Feasibility in Constraint-Adaptation Schemes
Dominique Bonvin, Grégory François, Gene Bunin
The subject of real-time, steady-state optimization under significant uncertainty is addressed in this paper. Specifically, the use of constraint-adaptation schemes is reviewed, and it is shown that, in general, such schemes cannot guarantee process feasib ...
2011