Walter Lab

University of Bochum

Bayern (DE2) · Germany

ERC-funded
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Research focus

ERC Starting Grant · 2021

Symmetry and Optimization at the Frontiers of Computation

Noncommutative group optimization is a powerful emerging paradigm, which has already led to the solution of outstanding problems in computational complexity, algebra, and statistics. Pioneered by the PI and collaborators, it generalizes convex optimization from Euclidean space to the far more general setting of curved spaces with symmetries. Its unfamiliar kind of convexity has recently received much attention in statistics and machine learning. The symmetries are realized by noncommutative groups and imply a high degree of algebraic structure. This combination of symmetry and optimization promises to be key to fast algorithms and deep structural insight. Noncommutative group optimization…

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