I’m not sure I understand how to reduce DWT to convolutions as you propose.
Edit: Are you proposing to basically construct nlogn conv filters? since the higher frequency wavelets are just translated and mostly 0 everywhere I suppose it’s possible. Do you have an example? Not sure how I would stitch it all up.
The scattering transform is indeed interesting but not what I’m immediately looking for, will check it out though thanks. Seems to have high potential, too bad you can’t backprop through the fast implementation though.