Seminario

"Riemannian optimization for the tensor rank decomposition" - Nick Vannieuwenhoven

Seminario periodico del Dipartimento di Matematica
9 novembre 2021
Orario di inizio 
16:30
PovoZero - Via Sommarive 14, Povo (Trento)
Aula Seminari "-1"
Destinatari: 
Comunità universitaria
Comunità studentesca UniTrento
Partecipazione: 
Online
Referente: 
, Prof.ssa Alessandra Bernardi, Prof. Andrea Pinamonti
Contatti: 
Università degli Studi Trento 38123 Povo (TN) - Staff Dipartimento di Matematica
+39 04 61/281508-1625-1701-3786-1980
Speaker: 
Nick Vannieuwenhoven (NUMA Division, Department of Computer Science, KU Leuven)

Abstract: The tensor rank decomposition or canonical polyadic decomposition (CPD) is a generalization of a low-rank matrix factorization from matrices to higher-order tensors. In many applications, multi-dimensional data can
be meaningfully approximated by a low-rank CPD. In this talk, I will describe a Riemannian optimization method for approximating a tensor by a low-rank CPD. This is a type of optimization method in which
the domain is a smooth manifold, i.e. a curved geometric object. The presented method achieved up to two orders of magnitude improvements in execution time for challenging small-scale dense tensors when
compared to state-of-the-art nonlinear least squares solvers.

Eventi passati

È possibile consultare gli eventi del precedente ciclo alla pagina https://webmagazine.unitn.it/evento/dmath/67573/maths-bites-trento