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Tensor Computations


Speaker: Carmeliza Navasca, Clarkson University
Location: 1147 MSB
Start time: Tue, Jun 8 2010, 10:00AM

In the last decade, tensor decompositions and tensor-based methods have been powerful techniques in advancing signal processing, and have provided analytical tools for environmental data and chemical systems. New applications of these tensor-based methods are in applied and computational math. Currently, the underlying methods for tensor decompositions are optimization techniques, namely, the alternating-least-squares methods. These methods have many drawbacks like slow convergence and degeneracy problems.

In this talk, I will describe new methods for tensor decompositions based on semidefinite programming and regularization. I will also include new iterative solvers applied to some problems in PDEs and new tensor decompositions which are based on the Einstein contracted product.