One Example of General Unidentiable Tensors
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The identi ability of parameters in a probabilistic model is a crucial notion in statistical inference. We prove that a general tensor of rank 8 in C3xC6xC6 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.