GRK 1023: Identification in Mathematical Models: Synergy of Stochastic and Numerical Methods

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The dissertation projects of the Research Training Group can all be subsumed under the theme "Identification in Mathematical Models". This includes classical inverse problems for partial differential equations (for example, inverse scattering theory and impedance tomography), classical parameter and model identification in statistics (for example by statistical learning algorithms) and, combining the two preceeding areas, new identification and classification problems in mathematics and in applications (for example classification of stochastic processes, geometric identification of fingerprints, identification of alien genes). The topics cover a broad range connecting theoretical mathematical problems, application relevant problems from numerical analysis and statistics, and interdisciplinary projects in collaboration with members of other sciences.