Weitere Module12 ECTS
Seminar Machine Learning and Data Science
Research seminar spanning two semesters where students analyze research papers, prepare presentations, and discuss scientific content with peers, developing skills in reading research literature and scientific communication.
Weitere Module8 ECTS
Cross-disciplinary Competencies
Study of cross-disciplinary competencies including courses such as LaTeX, IT Project Management, Software Economics, study abroad, or summer schools, conveying personality and job-related competencies beyond subject-specific knowledge.
Weitere Module8 ECTS
Geometric Methods for Machine Learning
Introduction to geometric methods for machine learning including differential geometry, Riemannian manifolds, information geometry, Lie groups, and graphs with synthetic notions of curvature.
Weitere Module8 ECTS
High-dimensional Numerics
Methods for uncertainty quantification, high-dimensional integration, and approximation including Monte Carlo methods, sparse grids, multilevel methods, stochastic collocation, and tensor approximation.
Weitere Module8 ECTS
Partial Differential Equations and Measures
Mathematics of PDEs and pattern formation including calculus of variations, optimal transport, and measure-theoretical methods for PDEs with applications to machine learning.
Weitere Module8 ECTS
Statistical Learning and Empirical Process Theory
Statistical learning theory and empirical process theory covering linear and high-dimensional models, kernel methods, uniform laws of large numbers, and concentration inequalities.
Weitere Module8 ECTS
Variational Methods and Numerical Optimization
Variational and optimization methods for data science tasks including supervised and unsupervised learning, classification, regression, and deep learning with applications to numerical optimization.
Weitere Module24 ECTS
Specialization Area
Deepening knowledge of a core area through specialization courses related to current research topics, allowing students to develop expertise in their chosen field of machine learning and data science.
1. Semester8 ECTS
Ringvorlesung
Overview of machine learning and data science with brief introduction into relevant mathematical methods from each area of specialization, enabling students to recognize subfields and their interrelations.
2. Semester8 ECTS
Data Science Lab
Practical problem-solving in machine learning and data science using Python and common frameworks like scikit-learn, pandas, PyTorch, and JAX, enabling students to prototype algorithms and transfer mathematical methods into software solutions.
4. Semester30 ECTS
Master's Thesis
Independent scientific work on a demanding problem from data science, machine learning and applications, completed with a written thesis following international standards.
4. Semester6 ECTS
Master's Thesis Presentation
Presentation and defense of the master's thesis research including discussion of methods, results, advantages and limitations in comparison to the current state of the art.
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Moduldaten aus dem offiziellen Modulhandbuch der Hochschule München. Umfang und Angebot können sich je Studien- und Prüfungsordnung ändern.