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math.OC2021★ 2 cited
Sparse Quadratic Optimisation over the Stiefel Manifold with Application to Permutation Synchronisation
Florian Bernard, Daniel Cremers, Johan Thunberg
We address the non-convex optimisation problem of finding a sparse matrix on the Stiefel manifold (matrices with mutually orthogonal columns of unit length) that maximises (or mini…
math.OC2018
A Lifting method for analyzing distributed synchronization on the unit sphere
Johan Thunberg, Johan Markdahl, Florian Bernard +1
This paper introduces a new lifting method for analyzing convergence of continuous-time distributed synchronization/consensus systems on the unit sphere. Points on the d-dimensiona…