This should be possible and fairly easy to do, I guess - it's just forward and backward pass with your favorite model through the net and collect the loss for all octaves. You will have to port a few image utility functions (like roll, zoom, etc.) if not available. I ported the basic Deep Dream example to JavaScript [1] and it was not that difficult.

When looking through the code I saw that BP for LRN is not implemented yet, so you cannot pick a model using LRN (or you have to implement it).

[1] https://github.com/chaosmail/caffejs/blob/master/docs/assets...