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Title: Statistical properties of second-order tensor decompositions Authors:  Niko Lietzen - Aalto University School of Science (Finland)
Klaus Nordhausen - Vienna University of Technology (Austria)
Joni Virta - Aalto University (Finland) [presenting]
Abstract: Two classical tensor decompositions are considered from a statistical viewpoint: the Tucker decomposition and the higher order singular value decomposition (HOSVD). Both decompositions are shown to be consistent estimators of the parameters of a certain noisy latent variable model. The decompositions asymptotic properties allow comparisons between them. Also inference for the true latent dimension is discussed. The theory is illustrated with examples.