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MEANS AND AVERAGING ON RIEMANNIAN MANIFOLDS
Processing of manifold-valued data has received considerable attention in recent years. Standard data processing methods are not adequate for such data. Among many related data processing tasks finding means or averages ...
Gradient Flow Based Matrix Joint Diagonalization for Independent Componenet Analysis
In this thesis, employing the theory of matrix Lie groups, we develop gradient based flows for the problem of Simultaneous or Joint Diagonalization (JD) of a set of symmetric matrices. This problem has applications in many ...