Matthias Christandl: "Asymptotics of Ranks of Tensors" скачать в хорошем качестве

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