Chiantini, Luca Creator Faculty giorgio.ottaviani@unifi.it Mella, Massimiliano Creator Ottaviani, Giorgio Creator MATH / Applied Mathematics Illinois Institute of Technology Affiliated department tensor decomposition identifiability Segre variety Abstract. Theidentifiabilityofparametersinaprobabilisticmodelisacrucialnotioninstatistical inference. We prove that a general tensor of rank 8 in C3 ⊗ C6 ⊗ C6 has at least 6 decompositions as sum of simple tensors, so it is not 8-identifiable. This is the highest known example of balanced tensors of dimension 3, which are not k-identifiable, when k is smaller than the generic rank. Article

application/pdf en https://doi.org/10.18409/jas.v5i1.25 5 Open Access eng http://hdl.handle.net/10560/islandora:1009726