ERC-Starting Grant for the project High-Dimensional Sparse Optimal Control

ERC.jpg The European Research Council (ERC) awarded the
ERC-Starting Grant Pfeil " High-Dimensional Sparse Optimal Control" with an total amount of 1,123 Mio €
to Prof. Massino Fornasier, Deparment of Mathematics, Technische Universität München.
  The grant comprises 2 PostDoctoral and 1 Doctoral positions
for a term of up to 5 years at the Department of Mathematics of the Technische Universitaet Muenchen.

The project High-Dimensional Sparse Optimal Control

As in the recent economical crisis, the dimension scale of problems arising in our modern and extremely interconnected society became very large, producing significant challenges in prediction of trends and policy making. New mathematical tools and concepts are now urgently needed in order to extract and interpret significant information from this fast dynamical-in-time flow. Numerical simulations at the required scale will be one of the great challenges of the 21st century. In short, we need to become capable of organizing and understanding complexity. The most notable recent advances in data analysis and numerical simulation are based on the observation that in several situations, even for very complex phenomena, the intrinsic dimensionality is significantly lower than the ambient dimension and, when the number of agents involved is very large, that a "mean field approximation" holds. Numerous processes in nature and society can be modeled and analysed by means of dynamical systems.

Scope of the project

We shall address the further development of the powerful mathematical and numerical machinery of random dimensionality reduction, sparse optimization, and mean-field approximations to explore new applications in fields such as simulation, automatic learning, and optimal control of dynamical systems in high-dimension. Both analysis and numerical methods will be developed.
More details are to be found here.

Member of TUM-IAS Pfeil

As ERC Starting Grant recipients the TUM-Mathematics professors Eva Viehmann and Massimo Fornasier have been invited to be Members of the TUM Institute for Advanced Study Pfeil.

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