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Technische Universität München, Zentrum Mathematik

Case Studies in Nonlinear Optimization

Combined Lecture and Project Work Course

Dr. Florian Lindemann, Andre Milzarek, M.Sc. (hons.)

Summer Term 2016


Basic Concept- Projects - Registration/Preliminary Meeting


Basic Concept

The description of this module MA4513 can be found in TUMonline.
This course is a combination of a lecture part and an exercise part where an application example of nonlinear optimization is addressed by a team of three to five students. The lectures provide, on the one hand, mathematical theory and tools to solve the application examples and, on the other hand, cover topics as the organization of team work, the design of posters and the presentation of mathematical content to different target audiences.
The main part of this course are independent studies within a team of students. Consequently, team work and team organization are as important as profound mathematics, programming skills, modeling techniques or presentation skills.

Projects

Here a short description of the projects:

Project 1: Model Adaption in Open Cast Mining
As open cast mine excavators are very large, special aspects in modeling these machines have to be considered. For example, the internal and external temperature changes throughout the day have huge impact on the nonlinear dynamics of this technical system. Therefore, via optimal experimental design a suitable model is developed and optimized via parameter fitting.

Project 2: Supply Scheduling for Photovoltaic Systems
Energy systems combining photovoltaic energy generation with a battery are a key element in the field of renewable energies. One important problem is the generation of a day-ahead schedule for the provided energy. The dynamic system can be described by ordinary differential equations. As the sunshine duration is uncertain, stochastic data has to be integrated in the model.

Project 3: Optimization in Image Processing
Image processing problems cover a large variety of challenging applications, such as deblurring, inpainting, image segmentation or super-resolution imaging. Typically, based on variational techniques, these problems can be formulated as large-scale optimization problems where the associated solutions then correspond to a specific reconstruction or a desired variant of an image. To preserve the natural but often irregular structure of an image, sophisticated nonsmooth models and approaches are utilized in practice.

Project 4: Modeling and Virtualization of Deformation Processes
Incremental deformation processes create a desired object by mechanically adjusting and deforming a certain starting material. Usually each single deformation step has to be implemented manually such that an automated and profitable production is not yet realizable at the moment. In this project, based on a geometry processing framework, different models and algorithms will be developed and analyzed to virtualize and describe the shape deformations of the target material.

Registration

Registration for this course is mandatory and has to be done before the deadline: March 1, 2016.
The registration is done by email to lindemannematma.tum.de providing the following information:

After the deadline we still have a limited number of places available for incomings from abroad and for master students coming from other universities and starting at TUM this summer. If this applies to you, please write an email to lindemannematma.tum.de.

Preliminary Meeting

The preliminary meeting is on February 3rd, 2016 at 16:15 in room MI 00.07.014 (jointly with "Case Studies Discrete Optimization"). At this meeting we present some information about the case studies courses in general, what to expect during the courses, this year's projects, important dates and the registration process (see condensed version of the presentation slides). Please note that a registration for this case study course is mandatory before the deadline on March 1, 2016! If you have any questions that are not answered here or at the preliminary meeting, please contact Florian Lindemann.