3 problems

Fisher information rank conjecture. The rank is

Let $P_{abc}$ be a unital tensor that admits a covering system of partial algebras. A pointwise decomposition is a positive tensor rank decomposition … such that every factor $p^i$…

Let $P_{abc}$ be a unital symmetric real tensor, meaning that its indices are symmetric and its unit conditions are $P_{1ab}=P_{a1b}=P_{ab1}=\delta_{ab}$. A positive tensor rank de…