2 papers
math.NA2025
Minimality of Tree Tensor Network Ranks
Jana Jovcheva, Tim Seynnaeve, Nick Vannieuwenhoven
For a given tree tensor network , we call a tuple of bond dimensions minimal if there exists a tensor that can be represented by this network but not on the same tree topolo…
math.RT2024
Decomposing Tensor Spaces via Path Signatures
Carlos Améndola, Francesco Galuppi, Ãngel David RÃos Ortiz +2
The signature of a path is a sequence of tensors whose entries are iterated integrals, playing a key role in stochastic analysis and applications. The set of all signature tensors…