A unique normal form for tensor trains over arbitrary fields is defined using a novel LDPU matrix decomposition, with a polynomial-time reduction algorithm and direct construction from full tensors.
13 Gene H Golub and Charles F Van Loan.Matrix Computations
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A Unique Normal Form for Tensor Trains over Arbitrary Fields
A unique normal form for tensor trains over arbitrary fields is defined using a novel LDPU matrix decomposition, with a polynomial-time reduction algorithm and direct construction from full tensors.