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Master Theses at M15

Matthias Wissel: A Data Driven Prognostic Model for the Availability of Parking
Matthias

Date of submission: September 15, 2016,

Link to Master Thesis [.pdf]

Current Position:
Application Consultant at Capgemini

E-mail: matthias.wisselemattum.de




"The idea to write my Master’s thesis on parking prediction formed during and after an internship at the BMW R&D department and I was very happy that I was given the opportunity to further work on this very interesting research topic at M15 under supervision of Dr. Frank Filbir, whom I would like to thank for the offered guidance and encouragement throughout this time.

Due to the very broadly posed research question, I came in contact with different areas of mathematics and was faced with various issues and stages of process needed to tackle an issue like this: Starting from modelling questions, the work extended to probability theory and topics in functional analysis like matrix-valued reproducing kernel Hilbert spaces and risk minimisation. Tying these fields together, we aimed to describe a process leading to a prediction about free parking spaces in urban areas based on car data. I am sure the experience of working on a real world problem like this will make a perfect connection to my starting professional career in data science."

Manuel Bergler: Dimensionality Reduction of the Cucker-Dong Model of Attraction-Repulsion Systems




"In my Master thesis at M15 I analyzed how Johnson-Lindenstrauss embeddings can be used as a means to reduce the dimensionality of Cucker-Dong systems modeling the interaction of individual agents, e.g. in schools of fish based on attraction and repulsion forces. I'd like to thank Prof. Fornasier for the opportunity to work on this particular topic in a quickly developing field at the conjuncture of probability theory, differential geometry and numerical analysis as well as for his advice both on mathematical difficulties and my future career. His firm believe in my abilities cemented my decision to pursue a Ph.D. after finishing my Master's degree in computer science."

Date of submission: December 1, 2015

Link to Master Thesis [.pdf]

E-mail: berglerematin.tum.de

Manuel

Martin Eller : Rotation Invariance in Exemplar-based Image Inpainting
Martin

Date of submission: Aug. 31, 2013

Link to Master Thesis [.pdf]

Current Position:
PhD Student at CST AG
E-mail: martin.ellerematmytum.de


Other:
Main prize for the contribution on the Master's thesis at the Studierendenkonferenz of Österreichische Mathematische Gesellschaft and Deutsche Mathematiker-Vereinigung 2013




"As a Master student at the chair for Applied Numerical Analysis I was concerned with rotation-invariance in mathematical image reconstruction methods.
I was given the opportunity to study in an international environment and to spend a short research period at the Johann Radon institute Pfeil in Linz for three months. During my Master work I learnt how to develop new efficient algorithms: on the one hand I proved their convergence by means of functional analysis and on the other hand I implemented these methods in a computer program for practical application. The diverse mathematical questions and the numerous new experiences I made during my Master work provide a sustainable benefit for my future work in mathematics."

Jan-Christian Hütter : Minimizers and Gradient Flows of Attraction-Repulsion Functionals with Power Kernels and Their Total Variation Regularization




"My Master’s thesis at the chair M15 was about a certain class of attraction/repulsion functionals, which for example can be used in image processing or in modeling competition for capped resources. While writing the thesis, Prof. Fornasier’s supervision was very important to me, in particular because of his broad knowledge, his intuition where to look for solutions to a given problem, and his contacts to researchers all over the world. Moreover, he encouraged and supported me in finding a position as a PhD student after I was done with my Master’s thesis."

Date of submission: May 31, 2013

Link to Master Thesis [.pdf]

Publications of the Master Thesis:
Consistency of probability measure quantization by means of power repulsion-attraction potentials (with M. Fornasier), submitted, August 2013, pp. 50 [.pdf]

Current position:
PhD Student at Massachusetts Institute of Technology

E-mail: huetterematmit.edu

JanChristian

Christian Kümmerle : Learning Ridge Functions by Low-Rank and Sparse Optimization
Christian

Date of submission: September 29, 2015

Link to Master Thesis [.pdf]

Current Position:
PhD Student at the Technical University of Munich

E-mail: christian.kuemmerleematma.tum.de





"During my time as a Master student at chair for Applied Numerical Analysis I studied and developed new algorithmic approaches to the learning of so-called ridge functions, which constitute an important class of high-dimensional functions that is used for example in modern machine learning. I am very grateful that Prof. Fornasier proposed this topic to me, as I was able to get to know a lot of cutting-edge mathematics in a very active field of research by working on that. I am glad that he encouraged me to tackle relevant research problems during his supervision and led me to building up a proper intuition for the problems with his broad knowledge. Moreover, I really appreciate that I quickly was included in a research project of the chair in which I could collaborate closely with my co-supervisor Juliane Sigl. This showed me the great benefits of working in a team for productive mathematical research. I am looking forward to the time to come at M15, since I have got the opportunity to stay at the chair as a Ph.D. student."

Johannes Piendl: Learning a Manifold from Functional Data in Low Dimension




"The Master's Thesis I wrote at M15 was about the learning of manifolds, that are the underlying structure for functional data. This area of research promises an accessible analysis of large data sets. An important lesson I have learned is how a problem can be addressed in various ways and how each point of view contributes to the understanding of the whole. At this point I want to express my gratitude towards Prof. Fornasier, who helped me to overcome dead ends not only once, but whose supervision was just the right balance between supporting me with new ideas and encouraging to follow my own. Since I was able to work on different mathematical aspects I feel this thesis is a fitting final to my university education."

Date of submission: September 28, 2015

Link to Master Thesis [.pdf]

Current position:
tba

E-mail: jpiendl23ematgmail.com

Johannes

Juliane Sigl : Quasilinear compressed sensing
Juliane

Date of submission: March 28, 2013

Link to Master Thesis [.pdf]

Publications of the Master Thesis:
Quasi-linear compressed sensing (with M. Ehler, and M. Fornasier), submitted to SIAM: Multiscale Modeling and Simulation, July 2013, pp. 23 [.pdf]

Current Position:
PhD Student at the Technical University of Munich

E-mail: juliane.siglematma.tum.de





"Preparing my thesis here at M15 offered me the chance to work on interesting mathematical and applied problems in an inspiring research environment. Furthermore, I was given the opportunity to work with researchers outside TUM and stayed at the Johann Radon institute Pfeil in Linz (Austria) as a junior guest researcher for 3 months. Together with my supervisor, they invested their time and energy in my education, giving me a valuable gain of knowledge and experience, and moreover, gave me their patience and encouragement to exploit my full potential, that pushed me to the limit during this time. I was happy to get an offer for a PhD position here, and I stayed as a member of the group."

Michael Speckbacher: Time-frequency representation adapted to perception




"I wrote my master's thesis at the Acoustics Research Institute in Vienna (Austria). As an external master student I was not in constant contact with my supervisor Prof. Fornasier, but I knew that I could bring up any scientific or organizational question and always get a prompt and fully satisfactory answer.
The human ability to distinguish different tones deteriorates with increasing frequency. In my thesis I investigated a linear time-frequency representation which follows the time-frequency resolution of the human auditory system. This could be interesting for future research, e.g. to develop new audio coding devices."

Date of submission: Sep. 27, 2013

Link to Master Thesis [.pdf]

Current Position:
PhD Student at the Acoustics Research Institute in Vienna at the Austrian Academy of Science

E-mail: speckbacher.michaelematgooglemail.com

Michael

-- ChristianKuemmerle - 25 Jan 2016