Border Subrank of Tensors

Explore the concept of border subrank of tensors in this 43-minute lecture presented by Chia-Yu Chang from Texas A&M University at IPAM's Tensor Networks Workshop. Delve into the introduction of subrank and border subrank, concepts originally introduced by Strassen. Examine the differences between rank and border rank of generic tensors, and investigate the less understood behavior of subrank and border subrank. Learn about the construction of maximal border subrank tensors and how they can be used to compute lower bounds for the dimension of maximal border subrank tensor sets. Gain insights into this complex topic in tensor analysis, presented at the Institute for Pure & Applied Mathematics (IPAM) at UCLA.