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Application of Tensor Network Formalism for Processing Tensor Data

  • Kenji Harada,
  • Hiroaki Matsueda,
  • Tsuyoshi Okubo

摘要

Next-generation mobility services require a huge amount of data with multiple attributes. This data is stored as a multi-dimensional array called a tensor. A tensor network is an effective tool for representing a large composite tensor. As an application of the tensor-network formalism to tensor data processing, we present three research results from statistical physics: tree tensor networks, tensor ring decomposition, and MERA.