2021
DOI: 10.48550/arxiv.2112.10855
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CP Decomposition for Tensors via Alternating Least Squares with QR Decomposition

Abstract: The CP tensor decomposition is used in applications such as machine learning and signal processing to discover latent low-rank structure in multidimensional data. Computing a CP decomposition via an alternating least squares (ALS) method reduces the problem to several linear least squares problems. The standard way to solve these linear least squares subproblems is to use the normal equations, which inherit special tensor structure that can be exploited for computational efficiency. However, the normal equatio… Show more

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