My intiution tells me the pre-training paradigm will shift immensely in near future because we started to understand that we don’t need all these paramaters since the subnetworks seems to be very robust preserving information in high dimensions. We keep saying curse of dimensionality but it is more like the bliss of dimensionality we keep seeing. Network redundancy still seems to be very high given BitNet is more less comparable to other LLMs.
This basically shows over 50% of the neural net is gibberish! The reason being is that the objective function simply does not include it.
Again my intiution tells me that neural scaling laws are incomplete as they are because they lack the efficiency parameter that needs to be taken into account (or simply left out due to greed of corporate).
And this is what we are seeing as “the wall”.
I am no expert in neural network theory nor in math but I would assume the laws should be something in the vicinity of this formulation/simulation:
https://colab.research.google.com/drive/1xkTMU2v1I-EHFAjoS86...
and encapsulate shannon’s channel’s capacity. I call them generalized scaling laws since it includes what it should include in the first place: entropy.