Tensor Voices

Tensor Voices is a short podcast series about tensors.
Your hosts are Eliana Duarte and Thomas Kahle.

Feed: mp3

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Kaie Kubjas

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

Published on: 29.03.2021, Direct Episode Link Download: mp3

Paul Breiding

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

Published on: 29.03.2021, Direct Episode Link Download: mp3

Alessandro Oneto

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

Published on: 29.03.2021, Direct Episode Link Download: mp3

Mateusz Michalek

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

Published on: 29.03.2021, Direct Episode Link Download: mp3

Anna Seigal

Anna Seigal - Finding structure in data

Anna Seigal's Homepage
Ideas for a complex world
Eigenconfigurations of tensors
Principal component analysis

Published on: 29.03.2021, Direct Episode Link Download: mp3