11 · Tensor Factorizations
Part IV, Block 7 of Tensors for Machine Learning. Section 09 asked which factorization, and what does it cost one order down, on matrices. This section asks it of tensors.
A tensor decomposition is not only a compression technique. Each one makes a different assumption about which structure in the data should be kept, and that assumption — not the flop count — is what you choose between.
Choose the decomposition from the structure you need to preserve, then choose the rank from the loss you can afford. Keep that order. The first question has no numerical answer, and the second has no answer at all until the first is settled.
Study here, then run the real thing: notebook 11 on Colab · the handbook · workshop home
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