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Can a RELU MLP be used for a siren?
Keep in mind that nothing even remotely similar can be done with a ReLU based MLP as ReLU has a constant derivative and no Laplacian. The derivative of a SIREN is also a SIREN — cosine is just a shifted sine. No other commonly used non-linearities such as tanh or ReLU has this property.
When does siren run around a RELU based network?
Just after 5 epochs of training with sine as the non-linearity, this is the result: After full 300 epochs of training, it is almost identical to the original image! If we take a look at the gradients of the image obtained, you can see that SIREN runs circles around a ReLU based network.
Which is the best example of a siren?
For people from traditional ML backgrounds, SIREN may demand a rethink of the conventions around handling data. To prevent the mathematics from impeding our ability to understand the essence of this paper, we will start with an example and add details along the way. This is a 500 x 375 r e solution image of a Yorkshire Terrier.
How is an image reconstructed from a siren?
Image reconstructed by fitting a SIREN supervised either by its gradients or Laplacians (underlined in green). Keep in mind that nothing even remotely similar can be done with a ReLU based MLP as ReLU has a constant derivative and no Laplacian. The derivative of a SIREN is also a SIREN — cosine is just a shifted sine.
Last Update: Oct 2021
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