[D] Hash table aspects of ReLU neural networks
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If you collect the ReLU decisions into a diagonal matrix with 0 or 1 entries then a ReLU layer is DWx, where W is the weight matrix and x the input. What then is Wₙ₊₁Dₙ where Wₙ₊₁ is the matrix of weights for the next layer? It can be seen as a (locality sensitive) hash table lookup of a linear mapping (effective matrix). It can also be seen as an associative memory in itself with Dₙ as the key. There is a discussion here: https://discourse.numenta.org/t/gated-linear-associative-memory/12300 ...
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