30 citations · 92 across the 38 of their papers we have counts for
7 papers · 2 filters
Local properties and augmented Lagrangians in fully nonconvex composite optimization
Alberto De Marchi, Patrick Mehlitz
A broad class of optimization problems can be cast in composite form, that is, considering the minimization of the composition of a lower semicontinuous function with a differentia…
A fresh look at nonsmooth Levenberg--Marquardt methods with applications to bilevel optimization
Lateef O. Jolaoso, Patrick Mehlitz, Alain B. Zemkoho
In this paper, we revisit the classical problem of solving over-determined systems of nonsmooth equations numerically. We suggest a nonsmooth Levenberg--Marquardt method for its so…
Bilevel Optimal Control: Theory, Algorithms, and Applications
Stephan Dempe, Markus Friedemann, Felix Harder +2
In this chapter, we are concerned with inverse optimal control problems, i.e., optimization models which are used to identify parameters in optimal control problems from given meas…
Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: decoupling approach revisited
Marián Fabian, Alexander Y. Kruger, Patrick Mehlitz
We revisit the decoupling approach widely used (often intuitively) in nonlinear analysis and optimization and initially formalized about a quarter of a century ago by Borwein & Zhu…
Variational Poisson Denoising via Augmented Lagrangian Methods
Christian Kanzow, Fabius Krämer, Patrick Mehlitz +2
In this paper, we denoise a given noisy image by minimizing a smoothness promoting function over a set of local similarity measures which compare the mean of the given image and so…
Notes on the value function approach to multiobjective bilevel optimization
Daniel Hoff, Patrick Mehlitz
This paper is concerned with the value function approach to multiobjective bilevel optimization which exploits a lower level frontier-type mapping in order to replace the hierarchi…
Convergence Analysis of the Proximal Gradient Method in the Presence of the Kurdyka-Łojasiewicz Property without Global Lipschitz Assumptions
Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz
We consider a composite optimization problem where the sum of a continuously differentiable and a merely lower semicontinuous function has to be minimized. The proximal gradient al…