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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.NA2019
Guarantees for the Kronecker Fast Johnson-Lindenstrauss Transform Using a Coherence and Sampling Argument
Osman Asif Malik, Stephen Becker
In the recent paper [Jin, Kolda & Ward, arXiv:1909.04801], it is proved that the Kronecker fast Johnson-Lindenstrauss transform (KFJLT) is, in fact, a Johnson-Lindenstrauss transfo…