Introduces a new quotient manifold and compatible retractions for TT-format tensors, then applies Riemannian GD and CG to the completion problem with a claimed reduction in projection cost.
arXiv preprint arXiv:2209.04786 , year=
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Low-Rank Tensor Completion using Tensor Train Decomposition via Riemannian Optimization on the Quotient Geometry
Introduces a new quotient manifold and compatible retractions for TT-format tensors, then applies Riemannian GD and CG to the completion problem with a claimed reduction in projection cost.