Abstract
In statistical data analysis, a tensor is a multi-array datum. Just as the complexity of a matrix datum is described by its matrix rank, the complexity of a tensor datum is described by its tensor rank. In this chapter, we review several concepts of tensor rank such as rank-1 tensors and tensor flattening.
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Sakata, T., Sumi, T., Miyazaki, M. (2016). Basics of Tensor Rank. In: Algebraic and Computational Aspects of Real Tensor Ranks. SpringerBriefs in Statistics(). Springer, Tokyo. https://doi.org/10.1007/978-4-431-55459-2_1
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DOI: https://doi.org/10.1007/978-4-431-55459-2_1
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Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-55458-5
Online ISBN: 978-4-431-55459-2
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