A Step in the Right Dimension: Tensor Algebra and Applications

Newman, Elizabeth.


  • As data have become more complex to reflect multi-way relationships in the real world, tensors have become essential to reveal latent content in multidimensional data. In this thesis, we focus on a tensor framework based on the *_M-product, a general class of tensor-tensor products which imposes algebraic structure in a high-dimensional space. The induced *_M-algebra inherits matrix-mimetic ... read more
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