TY - CHAP AU - Liebendörfer, Michael AU - Büdenbender-Kuklinski, Christiane AU - Lankeit, Elisa AU - Schürmann, Mirko AU - Biehler, Rolf AU - Schaper, Niclas ID - 35681 SN - 1869-4918 T2 - Practice-Oriented Research in Tertiary Mathematics Education TI - Framing Goals of Mathematics Support Measures ER - TY - BOOK ED - Biehler, Rolf ED - Liebendörfer, Michael ED - Gueudet, Ghislaine ED - Rasmussen, Chris ED - Winsløw, Carl ID - 37469 SN - 1869-4918 TI - Practice-Oriented Research in Tertiary Mathematics Education ER - TY - JOUR AU - Brennecken, Dominik AU - Rösler, Margit ID - 36294 JF - Transaction of the American Mathematical Society TI - The Dunkl-Laplace transform and Macdonald’s hypergeometric series ER - TY - JOUR AU - Hanusch, Maximilian ID - 34814 IS - 1 JF - Canadian Journal of Mathematics KW - extension of differentiable maps SN - 0008-414X TI - A $C^k$-seeley-extension-theorem for Bastiani’s differential calculus VL - 75 ER - TY - JOUR AB - Regularization is used in many different areas of optimization when solutions are sought which not only minimize a given function, but also possess a certain degree of regularity. Popular applications are image denoising, sparse regression and machine learning. Since the choice of the regularization parameter is crucial but often difficult, path-following methods are used to approximate the entire regularization path, i.e., the set of all possible solutions for all regularization parameters. Due to their nature, the development of these methods requires structural results about the regularization path. The goal of this article is to derive these results for the case of a smooth objective function which is penalized by a piecewise differentiable regularization term. We do this by treating regularization as a multiobjective optimization problem. Our results suggest that even in this general case, the regularization path is piecewise smooth. Moreover, our theory allows for a classification of the nonsmooth features that occur in between smooth parts. This is demonstrated in two applications, namely support-vector machines and exact penalty methods. AU - Gebken, Bennet AU - Bieker, Katharina AU - Peitz, Sebastian ID - 27426 IS - 3 JF - Journal of Global Optimization TI - On the structure of regularization paths for piecewise differentiable regularization terms VL - 85 ER - TY - CONF AU - Hoffmann, Max AU - Biehler, Rolf ED - Trigueros, Marı́a ED - Barquero, Berta ED - Hochmuth, Reinhard ED - Peters, Jana ID - 31849 KW - Teaching and learning of specific topics in university mathematics KW - Transition to KW - across and from university mathematics KW - Student Teachers KW - Geometry KW - Congruence KW - Double Discontinuity. T2 - Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022) TI - Student Teachers ’ Knowledge of Congruence before a University Course on Geometry ER - TY - CONF AU - Florensa, Ignasio AU - Hoffmann, Max AU - Romo Vázquez, Avenilde AU - Zandieh, Michelle AU - Martínez-Planell, Rafael ED - Trigueros, Marı́a ED - Barquero, Berta ED - Hochmuth, Reinhard ED - Peters, Jana ID - 43097 T2 - Proceedings of the Fourth Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2022, 19-22 October 2022) TI - Innovations in university teaching based on mathematic education research ER - TY - JOUR AU - Biehler, Rolf AU - Liebendörfer, Michael AU - Schmitz, A. ID - 43504 JF - Mitteilungen der Gesellschaft für Didaktik der Mathematik TI - Lernvideos und ihre Erstellung - Das Projekt studiVEMINTvideos VL - 114 ER - TY - JOUR AU - Black, Tobias AU - Fuest, Mario AU - Lankeit, Johannes AU - Mizukami, Masaaki ID - 43105 JF - Nonlinear Analysis: Real World Applications KW - Applied Mathematics KW - Computational Mathematics KW - General Economics KW - Econometrics and Finance KW - General Engineering KW - General Medicine KW - Analysis SN - 1468-1218 TI - Possible points of blow-up in chemotaxis systems with spatially heterogeneous logistic source VL - 73 ER - TY - CHAP AU - Vitt, Vivian AU - Häsel-Weide, Uta ID - 43227 T2 - Mathematica Didactica, 46 TI - Reziprokes Peer-Tutoring zur Förderung von Schüler*innen mit Schwierigkeiten beim Mathematiklernen. ER -