Tensor Voices: Recent Episodes

Eliana Duarte and Thomas Kahle

Tensor Voices is a short podcast series about tensors.

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Kaie Kubjas - Tensors are a natural way to encode multivariate data Kaie Kubjas' homepage
The geometry of rank-one tensor completion
Tensor network complexity of multilinear maps
Tensor decomposition for mutiple-tissue gene expression experiments
Dimension of tensor network varieties

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Paul Breiding - Matrices are the strange object compared to tensors Paul Breiding's homepage
Condition numbers and ill posed locus
Interval arithmetic:
Book
Applications to Algebraic geometry 1
Also this
Block term decomposition of tensors:
Tensorlab tutorial
Decompositions of a Higher-Order Tensor - Part I- III, Lieven de Lathauwer
Signal processing:
Interesting application
General use of tensor decompositions in signal processing

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Alessandro Oneto - Symmetric tensors are homogeneous polynomials Alessandro Oneto's homepage
Waring rank, apolarity, secant varieties
Shitov's counter example
Partially Symmetric Variants of Comon's Problem Via Simultaneous Rank

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Mateusz Michalek - Tensors appear everywhere Mateusz Michalek's homepage
Gaussian elimination is not optimal
Invitation to Nonlinear Algebra, Chapter 9 - Tensors. Michalek and Sturmfels
Algebraic Complexity theory, Peter Bürgisser, Michael ClausenMohammad and Amin Shokrollahi
Tensor Spaces and Numerical Tensor Calculus- Wolfgang Hackbusch

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Anna Seigal - Finding structure in data Anna Seigal's Homepage Ideas for a complex world Eigenconfigurations of tensors Principal component analysis