The Tensor Cookbook by Thomas Dybdahl Ahle

What are Tensor Diagrams? Machine learning involves a lot of tensor manipulation, and it's easy to lose track of the larger structure when manipulating high-dimensional data using notation designed for vectors and matrices.
Graphical notation (first introduced by Roger Penrose in 1971) reduces the mental overhead and makes the connections "come alive":

In short, each edge is the index of a tensor, and connecting two edges contracts the tensors over this dimension. After a bit of practice, this becomes incredibly intuitive.
The Tensor Cookbook aims to popularize tensor diagrams by rewriting the classical "Matrix Cookbook". You can think of it as a reference book, skip around for some cool diagrams, or a crash course full of exercises to practice your skill.

Links:
- Book
- Site

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