Matthias Christandl: "Asymptotics of Ranks of Tensors"
Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021
Workshop IV: Efficient Tensor Representations for Learning and Computational Complexity
"Asymptotics of Ranks of Tensors"
Matthias Christandl - University of Copenhagen
Abstract: Unlike the matrix case, there are many different types of ranks for tensors. Unlike the matrix case, these types of ranks are rarely multiplicative, requiring us to look at amortized/regularized/asymptotic versions. Asymptotic ranks have important applications ranging from computational complexity to combinatorics to quantum information (my favorite corner of the world). I will present a bunch of results (and a conjecture!) on (1) weighted slice rank and (2) symmetric subrank that might amuse fans of Strassen, Comon or Tao.
Institute for Pure and Applied Mathematics, UCLA
May 19, 2021
For more information: https://www.ipam.ucla.edu/tmws4
