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math.AG2013
One example of general unidentifiable tensors
Luca Chiantini, Massimiliano Mella, Giorgio Ottaviani
The identifiability of parameters in a probabilistic model is a crucial notion in statistical inference. We prove that a general tensor of rank 8 in C^3\otimes C^6\otimes C^6 has a…
math.AG2013★ 1 cited
Refined methods for the identifiability of tensors
Cristiano Bocci, Luca Chiantini, Giorgio Ottaviani
We prove that the general tensor of size 2^n and rank k has a unique decomposition as the sum of decomposable tensors if k<= 0.9997 (2^n)/(n+1) (the constant 1 being the optimal va…