Date: Wed. March 31, 2021
Organized by: FAU DCN-AvH, Chair in Applied Analysis – Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg (Germany)
Title: Adaptive Computation of Sparse Solutions

Speaker: Prof. Dr. Martin Burger
Affiliation: FAU Erlangen-Nürnberg, Germany

Abstract. In this talk we will discuss approaches of adaptivity to the computation of sparse solutions in an underlying continuum setting. A canonical application of interest and the guiding is the deconvolution problem in superresolution microscopy, but there are several other relevant applications, e.g. the efficient design of imaging techniques for exploration robots or the training of compact neural networks. Our approach is based on convexified variational formulations of sparsity, which allows for a rigorous mathematical analysis. A key idea we discuss is the adaptive refinement on grids based on a-posteriori error estimation, a second one the superresolved estimation of peak locations from multiple nonzero entries in adjacent grid points.


If you like this, you don’t want to miss out our upcoming events!


Don't miss out our posts on Math & Research!

Transition Layers in Elliptic Equations By Maicon Sônego   Stable transition layers in an unbalanced bistable equation Consider the following semi-linear problem where are positive functions in ; is a positive parameter and We assume that the functions satisfy ; for all ; there is a […]
Randomized time-splitting in linear-quadratic optimal control By Daniël Veldman   Introduction Solving an optimal control problem for a large-scale dynamical system can be computationally demanding. This problem appears in numerous applications. One example is Model Predictive Control (MPC), which requires the solution of several optimal control […]
Felix Klein: A Legacy of Innovation in Mathematics and Education By Roberto Rodríguez del Río, Complutense University of Madrid | IES San Mateo, Madrid   Felix Christian Klein lived in a period of history of science in which Mathematics were involved in a process of transformation, […]
Our last Publications
[cris show="publications" persID="223281397,105092142,229344528,239343629,241149469,243434665,105514816,242263337,104776092,236754096,243266999,243266999" year="2020" type="beitrag_fachzeitschrift" sortby="updated" quotation="apa" items="5"]
© 2019-2021 Chair for Dynamics, Control and Numerics - Alexander von Humboldt Professorship at FAU Erlangen-Nürnberg, Germany | Imprint | Contact