In this post, I want to share some insights about Tree Tensor Networks (TTN), a powerful tool in the field of quantum many-body physics and machine learning I recently got interested in. TTNs are a type of tensor network that organizes tensors in a tree-like structure, allowing for efficient representation and manipulation of high-dimensional data. The basic idea behind TTNs is to decompose a high-dimensional tensor into a network of smaller tensors connected in a hierarchical manner. This structure allows for efficient computation of various operations, such as contractions and decompositions, which are essential in many applications. Too many words, not enough pictures interactive demos? Here is a simple interactive demo to visualize the structure of a Tree Tensor Network. You can click on the nodes to see how the tensors are connected and how the data flows through the network. You can have a look at it here. Cheers,