In physics we say that an object is a tensor if it transforms like a tensor. Self-referential, yes, but hints at the fact that not all possible multidimensional arrays are tensors.
I don't know much about tensors used in AI or in physics. But I do know quite a bit about mathematical constructs being used across different domains and very often the definition is subtly different, so you cannot make a statement about the definition of tensors in physics and assume it'll hold for tensors in AI.
I don't know much about tensors used in AI or in physics. But I do know quite a bit about mathematical constructs being used across different domains and very often the definition is subtly different, so you cannot make a statement about the definition of tensors in physics and assume it'll hold for tensors in AI.