@misc{HoffMehlitz, author = {Hoff, Daniel and Mehlitz, Patrick}, title = {Notes on the value function approach to multiobjective bilevel optimization}, series = {Optimization}, volume = {73}, journal = {Optimization}, number = {10}, doi = {10.1080/02331934.2024.2323107}, pages = {3147 -- 3183}, language = {en} } @misc{GoettlichMehlitzSchillinger, author = {G{\"o}ttlich, Simone and Mehlitz, Patrick and Schillinger, Thomas}, title = {Inverse demand tracking in transportation networks}, series = {Mathematical Methods of Operations Research}, journal = {Mathematical Methods of Operations Research}, issn = {1432-5217}, doi = {10.1007/s00186-024-00875-y}, pages = {34}, language = {en} } @misc{HoffMehlitz, author = {Hoff, Daniel and Mehlitz, Patrick}, title = {Notes on the value function approach to multiobjective bilevel optimization}, series = {arXiv}, journal = {arXiv}, pages = {1 -- 32}, language = {en} } @misc{JiaKanzowMehlitz, author = {Jia, Xiaoxi and Kanzow, Christian and Mehlitz, Patrick}, title = {Convergence analysis of the proximal gradient method in the presence of the Kurdyka-Łojasiewicz property without global Lipschitz assumptions}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2301.05002}, pages = {1 -- 23}, language = {en} } @misc{DeMarchiMehlitz, author = {De Marchi, Alberto and Mehlitz, Patrick}, title = {Local properties and augmented Lagrangians in fully nonconvex composite optimization}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2309.01980}, pages = {1 -- 42}, language = {en} } @misc{JolaosoMehlitzZemkoho, author = {Jolaoso, Lateef O. and Mehlitz, Patrick and Zemkoho, Alain B.}, title = {A fresh look at nonsmooth Levenberg-Marquardt methods with applications to bilevel optimization}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2305.19870}, pages = {1 -- 41}, language = {en} } @misc{DempeFriedemannHarderetal., author = {Dempe, Stephan and Friedemann, Markus and Harder, Felix and Mehlitz, Patrick and Wachsmuth, Gerd}, title = {Bilevel optimal control: theory, algorithms, and applications}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2305.19786}, pages = {1 -- 31}, language = {en} } @misc{FabianKrugerMehlitz, author = {Fabian, Mari{\´a}n and Kruger, Alexander Y. and Mehlitz, Patrick}, title = {Nonsmooth multiplier, sum and intersection rules in non-Lipschitzian settings: decoupling approach revisited}, series = {arXiv}, journal = {arXiv}, pages = {1 -- 40}, language = {en} } @misc{KanzowKraemerMehlitzetal., author = {Kanzow, Christian and Kr{\"a}mer, Fabius and Mehlitz, Patrick and Wachsmuth, Gerd and Werner, Frank}, title = {A nonsmooth augmented Lagrangian method and its application to Poisson denoising and sparse control}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2304.06434}, pages = {1 -- 36}, language = {en} } @misc{DeMarchiJiaKanzowetal., author = {De Marchi, Alberto and Jia, Xiaoxi and Kanzow, Christian and Mehlitz, Patrick}, title = {Constrained composite optimization and augmented Lagrangian methods}, series = {Mathematical Programming}, volume = {Vol. 201}, journal = {Mathematical Programming}, number = {1}, issn = {0025-5610}, doi = {10.1007/s10107-022-01922-4}, pages = {863 -- 896}, language = {en} } @misc{JiaKanzowMehlitz, author = {Jia, Xiaoxi and Kanzow, Christian and Mehlitz, Patrick}, title = {Convergence analysis of the proximal gradient method in the presence of the Kurdyka-Łojasiewicz property without global Lipschitz assumptions}, series = {SIAM Journal on Optimization}, volume = {33}, journal = {SIAM Journal on Optimization}, number = {4}, issn = {1095-7189}, doi = {10.1137/23m1548293}, pages = {3038 -- 3056}, language = {en} } @misc{FabianKrugerMehlitz, author = {Fabian, Mari{\´a}n and Kruger, Alexander Y. and Mehlitz, Patrick}, title = {Fuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: Decoupling approach revisited}, series = {Journal of Mathematical Analysis and Applications}, volume = {532}, journal = {Journal of Mathematical Analysis and Applications}, number = {2}, issn = {1096-0813}, doi = {10.1016/j.jmaa.2023.127985}, pages = {1 -- 39}, language = {en} } @misc{BenkoMehlitz, author = {Benko, Mat{\´u}š and Mehlitz, Patrick}, title = {Why second-order sufficient conditions are, in a way, easy - or - revisiting calculus for second subderivatives}, series = {Journal of Convex Analysis}, volume = {30}, journal = {Journal of Convex Analysis}, number = {2}, pages = {541 -- 589}, language = {en} } @misc{Mehlitz, author = {Mehlitz, Patrick}, title = {A simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization}, series = {Optimization Letters}, journal = {Optimization Letters}, issn = {1862-4480}, doi = {10.1007/s11590-023-02031-7}, pages = {12}, language = {en} } @misc{KanzowKraemerMehlitzetal., author = {Kanzow, Christian and Kr{\"a}mer, Fabius and Mehlitz, Patrick and Wachsmuth, Gerd and Werner, Frank}, title = {Variational Poisson denoising via augmented Lagrangian methods}, series = {ETNA - Electronic Transactions on Numerical Analysis}, volume = {63}, journal = {ETNA - Electronic Transactions on Numerical Analysis}, doi = {10.1553/etna_vol63s33}, pages = {33 -- 62}, language = {en} } @misc{DeMarchiMehlitz, author = {De Marchi, Alberto and Mehlitz, Patrick}, title = {Local properties and augmented Lagrangians in fully nonconvex composite optimization}, series = {Journal of Nonsmooth Analysis and Optimizaton}, volume = {5}, journal = {Journal of Nonsmooth Analysis and Optimizaton}, doi = {10.46298/jnsao-2024-12235}, pages = {36}, language = {en} }