So, despite hiring the cream of the crop of math graduates, who could read the papers of free academia, but whose own result the free world could not access - they fell behind.
I have a theory explaining why. I think it's because science is an interactive process. NSA cryptographers could read papers, but they couldn't talk openly with the authors of those papers, because of secrecy demands - even asking question might indicate what they were working on. You can easily imagine them spending months on something they could have avoided by going to the original authors and getting told "Oh, we tried that for a long time, it doesn't work".
Whether that theory is right or not, cryptography is a concrete example of a domain where public research with fewer resources beat private research with a lot more resources.
The American companies, from my impression don’t involve themselves with such lowly “hacks” because they have so much money to just push forward with doing everything on big heavy models that run on the most cutting edge nvidia chips that they can, the moment, kinda sorta get on demand (I say that in some degree of jest).
They don't develop them because they don't collaborate publicly anymore.
Where would the whole industry be if Google never allowed publishing the transformers paper?
It's not a coincidence that the American AI industry grew fastest in capability when it was the most open.
integrating your own work with the latest public advances takes resources. For one or two small changes this is manageable, but the further you diverge from the public, the cost of maintenance rises exponentially if you want to continue to integrate public advances. when you publish your meaningful advance, you offload the maintenance burden onto everyone else (and they only have to pay a linear cost rather than an exponential one) as it's integrated by default in new work.
In most cases, the (exponential) maintenance cost of integrating public advances with secret ones exceeds the value of the public advances, so most that undertake this strategy of advancing the open frontier in secret don't attempt to integrate continually, but instead try to make a breakaway sprint in isolation to grab a few sticky customers before the unstoppable wave of the public frontier catches up.
This is a pattern commonly seen in university research departments when researchers switch into product development mode, most of these projects are a sprint to advance away from the public frontier once a good idea is found and they do good work and find a few customers for a little while. But if you check back in a few years you won't find an advanced research department but a zombie IP company that brings in a steady income via IP enforcement and a small number of customers for whom switching is too expensive.