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UID:429@cran.univ-lorraine.fr
DTSTART;TZID=Europe/Paris:20240610T140000
DTEND;TZID=Europe/Paris:20240610T150000
DTSTAMP:20240607T121429Z
URL:https://www.cran.univ-lorraine.fr/events/seminaire-konstantin-usevich/
SUMMARY:Séminaire Konstantin Usevich
DESCRIPTION:Speaker: Konstantin Usevich (CRAN)\nTitle: Algebraic Algorithms
  for the ParaTuck-2 Decomposition\nAbstract: ParaTuck-2 decomposition (PT2
 D) of 3-rd order tensors is a 2-level extension of the well-known CP (cano
 nical polyadic) decomposition (CPD). It is relevant in several application
 s\, such as chemometrics\, telecommunications\, and machine learning. As s
 hown in (Harshman\, Lundy\, 1996)\, the PT2D enjoys strong uniqueness prop
 erties (up to scaling/permutation ambiguities\, similarly to the CPD). How
 ever\, there are very few results on theory and algorithms for the PT2D. I
 n particular\, common strategies\, such as the alternating least squares\,
  suffer from convergence and initialization issues. We propose an algebrai
 c algorithm for the PT2D decomposition in the case when the ParaTuck-2 ran
 ks are smaller than the frontal dimensions of the tensor. Our approach rel
 ies only on linear algebra operations and is based on finding the kernel o
 f a structured matrix constructed from the tensor. It refines the previous
 ly known identifiability conditions. Yet another algorithm is proposed for
  the symmetric case\, which appears in the implicit approach to the PARAFA
 C-2 model.\n\nTeams link: https://teams.microsoft.com/l/meetup-join/19%3aa
 a79c15ac331466aa8ad98cbecb29ab2%40thread.tacv2/1717591833486?context=%7b%2
 2Tid%22%3a%22158716cf-46b9-48ca-8c49-c7bb67e575f3%22%2c%22Oid%22%3a%22c4a8
 aea2-7ce5-4ee9-b6c5-9fee62ad0257%22%7d\n
CATEGORIES:Département BioSiS,Séminaires projet SiMul
LOCATION:CRAN - FST - 4ème\, Campus Sciences\, Boulevard des Aiguillettes\
 , Vandoeuvre-lès-Nancy\, 54506\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Campus Sciences\, Boulevard
  des Aiguillettes\, Vandoeuvre-lès-Nancy\, 54506\, France;X-APPLE-RADIUS=
 100;X-TITLE=CRAN - FST - 4ème:geo:0,0
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