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What's the connection between this approach and tensorly? cc @JeanKossaifi @AnimaAnandkumar
Thanks @jeremyphoward for tagging us. We have done fully connected layers with tensor contraction and tensor regression about 2 years ago. https://arxiv.org/abs/1707.08308 It is available on http://tensorly.org/stable/index.html …
Very cool! Thanks for the links to TensorLy, will check out.
We have implementations of tensor regression layers with TensorLy and various backends (here, PyTorch):https://github.com/JeanKossaifi/tensorly-notebooks/blob/master/05_pytorch_backend/tensor_regression_layer_pytorch.ipynb …
Yep! And that one wasn't the first either. This one uses tensor trains in FCL all the way back in 2015. https://arxiv.org/abs/1509.06569 The idea has been around for a while, but for some reason it hasn't really caught on.
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