The identifiability of parameters in a probabilistic model isa crucial notion in statistical inference. We prove that a general tensor of rank $8$ in$\CC^3\otimes\CC^6\otimes\CC^6$ has at least $6$ decompositionsas 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.
One example of general unidentifiable tensors
MELLA, Massimiliano;
2014
Abstract
The identifiability of parameters in a probabilistic model isa crucial notion in statistical inference. We prove that a general tensor of rank $8$ in$\CC^3\otimes\CC^6\otimes\CC^6$ has at least $6$ decompositionsas 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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in SFERA sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
