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math.NA2023
Performance of linear solvers in tensor-train format on current multicore architectures
Melven Röhrig-Zöllner, Manuel Joey Becklas, Jonas Thies +1
Tensor networks are a class of algorithms aimed at reducing the computational complexity of high-dimensional problems. They are used in an increasing number of applications, from q…
math.NA2021★ 9 cited
Performance of the low-rank tensor-train SVD (TT-SVD) for large dense tensors on modern multi-core CPUs
Melven Röhrig-Zöllner, Jonas Thies, Achim Basermann
There are several factorizations of multi-dimensional tensors into lower-dimensional components, known as `tensor networks'. We consider the popular `tensor-train' (TT) format and…