id,summary,reporter,owner,description,type,status,priority,milestone,component,resolution,keywords,cc,merged,author,reviewer,upstream,work_issues,branch,commit,dependencies,stopgaps
32034,Graphical representations of tensors,Hongli (Bob) Zhao,,"As outlined in Meta Ticket #31991, a tensor can admit different types of decompositions / tensor networks. We propose to add visualizations to the tensors (depending on decomposition used), possibly by implementing the ```__repr__``` method.
In the diagrams of a tensor network, we may represent a tensor as a node, and the indices in different dimensions as edges. E.g. an order-3 tensor T(j_1,j_2,j_3 ) would look like a node with 3 edges. And connecting two edges from two tensors will denote tensor contractions. In this way, one may visualize the various decompositions of a tensor more intuitively via a tensor network / graph, along with additional information (such as tensor ranks).
- common tensor softwares (https://tensornetwork.org/software/)
- graphical explanation (https://www.math3ma.com/blog/matrices-as-tensor-network-diagrams)",enhancement,new,major,sage-9.8,graphics,,,Matthias Köppe Eric Gourgoulhon Dima Pasechnik,,,,N/A,,,,,