Learning tensors for evolutionary or developmental biology
The field of tensor decompositons has been discovered in many fields simultaneously, each with their own notation. Many modern notation in fields like CS or STAT have originated from the work of Tamara Kolda
http://www.kolda.net/publication/koba09/
However, this is restricted to the CP and Tucker decomposition, and we have many others now. See
https://arxiv.org/pdf/1609.00893.pdf 
and
https://arxiv.org/abs/1708.09165