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Musicians make most of their money from live performance these days, but recordings of live concerts can just make you long for the original studio versions. However, there are exceptions. Bruce is one of them. Here is a live version of Hungry Heart. If you want the original for comparison, here it is.

Thu, 08 Jun 2023
14:00
L3

Condition numbers of tensor decompositions

Nick Vannieuwenhoven
(KU Leuven)
Abstract

Tensor decomposition express a tensor as a linear combination of elementary tensors. They have applications in chemometrics, computer science, machine learning, psychometrics, and signal processing. Their uniqueness properties render them suitable for data analysis tasks in which the elementary tensors are the quantities of interest. However, in applications, the idealized mathematical model is corrupted by measurement errors. For a robust interpretation of the data, it is therefore imperative to quantify how sensitive these elementary tensors are to perturbations of the whole tensor. I will give an overview of recent results on the condition number of tensor decompositions, established with my collaborators C. Beltran, P. Breiding, and N. Dewaele.

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