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math.NA2022
Sampling-Based Decomposition Algorithms for Arbitrary Tensor Networks
Osman Asif Malik, Vivek Bharadwaj, Riley Murray
We show how to develop sampling-based alternating least squares (ALS) algorithms for decomposition of tensors into any tensor network (TN) format. Provided the TN format satisfies…
math.NA2022★ 4 cited
Distributed-Memory Randomized Algorithms for Sparse Tensor CP Decomposition
Vivek Bharadwaj, Osman Asif Malik, Riley Murray +2
Candecomp / PARAFAC (CP) decomposition, a generalization of the matrix singular value decomposition to higher-dimensional tensors, is a popular tool for analyzing multidimensional…