55 citations · 598 across the 84 of their papers we have counts for
4 papers · 1 filter
Ground States and Singular Vectors of Convex Variational Regularization Methods
Martin Benning, Martin Burger
Singular value decomposition is the key tool in the analysis and understanding of linear regularization methods. In the last decade nonlinear variational approaches such as $\ell^1…
Exact Relaxation for Classes of Minimization Problems with Binary Constraints
Martin Burger, Yiqiu Dong, Michael Hintermüller
Relying on the co-area formula, an exact relaxation framework for minimizing objectives involving the total variation of a binary valued function (of bounded variation) is presente…
Convergence rates in -regularization if the sparsity assumption fails
Martin Burger, Jens Flemming, Bernd Hofmann
Variational sparsity regularization based on -norms and other nonlinear functionals has gained enormous attention recently, both with respect to its applications and its ma…
A Framework for Automated Cell Tracking in Phase Contrast Microscopic Videos based on Normal Velocities
Michael Moeller, Martin Burger, Peter Dieterich +1
This paper introduces a novel framework for the automated tracking of cells, with a particular focus on the challenging situation of phase contrast microscopic videos. Our framewor…