little bug in tensor_regression_layer_pytorch.ipynb about tensorly-notebooks

[JeanKossaifi]

Hi Christina,

Thanks for reporting, you are completely right! The issue should now have been fixed in 6af351c.

As a side note, we now provide well tested PyTorch Tensor Regression Layers in TensorLy-Torch:

• API: http://tensorly.org/torch/dev/modules/api.html#tensor-regression-layers
• Example: http://tensorly.org/torch/dev/user_guide/trl.html

These also support tensor hooks such as tensor dropout or rank regularization (lasso).

Feel free to re-open if you still have the issue!

[segalinc]

Awesome, trying it now ,thanks! Would you recommend to use rank='same' or idk (512,3,3,output_cls) for the rank for networks like VGG or resnet18?

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[JeanKossaifi]

Based on the tuple you show for rank, I'm assuming this is for Tucker. I would say rank='same' is a good start. Alternatively, rank=kernel.shape should always work well.
Ideally you want to reduce the rank to benefit from the low-rank regularization (e.g. rank=0.75).

Depending on the problem, with fine-tuning/retraining, you should be able to reach rank=0.5 without loss of performance (the low-rank regularization may even help generalize better with longer fine-tuning/retraining).
Let me know of any feedback you may have! :)