NAMColloquium Best rank-one approximation ratio of higher-order tensors |  |
Vortragende Person:Prof. Dr. André Uschmajew, Universität Augsburg
Veranstaltungsort:Institut für Numerische und Angewandte Mathematik, Lotzestraße 16-18MN55Gras Geo Map
Veranstalter:Institut für Numerische und Angewandte Mathematik
Beschreibung:
For a higher-order tensor, its distance to the set of rank-one tensors
is an important quantity of interest from several perspectives.
Similar as for matrices, the relative distance is determined by the
ratio of the spectral and Frobenius norm of the tensor. The minimal
possible ratio of these norms hence measures the largest possible
relative distance, and is called the best rank-one approximation ratio
of the tensor space under consideration. Its precise value is only
known in special cases and hard to determine in general. In the talk,
we review this problem and present some recent results on the minimal
norm ratio.
is an important quantity of interest from several perspectives.
Similar as for matrices, the relative distance is determined by the
ratio of the spectral and Frobenius norm of the tensor. The minimal
possible ratio of these norms hence measures the largest possible
relative distance, and is called the best rank-one approximation ratio
of the tensor space under consideration. Its precise value is only
known in special cases and hard to determine in general. In the talk,
we review this problem and present some recent results on the minimal
norm ratio.
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Veranstaltungsart:Kolloquium
Veranstaltungssprache:Englisch
Kategorie:Forschung
Name der einladenden Person:Jun. Prof. Max Pfeffer
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Direkter Link zur Veranstaltung:https://events.goettingen-campus.de/event?eventId=10218063
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