Here are a few claims I believe:
AI companies and governments should be implementing policies that limit the generation of new algorithmic progress (such as those in Claim 5), as opposed to the capabilities of the final training run. I’m very concerned that by default most people designing AI policies do not understand these considerations, and so will end up with policies that are net-negative or much worse than they could have been.
Below I’ll go into a little more detail on claims 2, 3, and 4.
Claim 2. If an AI company slows AI capabilities without slowing down algorithmic progress, then they will accumulate unused algorithmic progress.
There are several proposals for slowing down that don’t significantly delay algorithmic progress:
These all operate primarily via limiting the capability of a final training run. So let’s assume that AI companies slow capabilities via any of the above methods. Then what happens?
One possibility is that this slowdown has very little effect on the long-term trajectory of capabilities progress. The company will continue to accumulate algorithmic progress via R&D. Then, once they’ve decided they can proceed safely, they do a big training run, getting them back on the trend that they would have otherwise been on. [3]

In this graph, the algorithmic overhang is the difference between the red line and the black line. The red line represents the capability of the most capable model you can train given all of your algorithmic progress, assuming you ended a training run at exactly that point in time. The black line represents the capability of the most capable model that you’ve actually finished training. In the status quo, with no pacing, you bank a small amount of algorithmic progress during each training run, and then use it all on the next training run.
If we slow down via anything but limiting algorithmic progress, this creates an algorithmic overhang, which, if you go back to training, results in a rapid return back to the original trend. This algorithmic overhang could, in principle, become very large: algorithmic progress is fast and is likely to accelerate in the future: estimates of algorithmic progress today vary between 3x-30x/year; and it seems plausible that algorithmic progress recently has been even faster. Because algorithmic progress is more rapid than compute progress (which is ~5x/yr), an algorithmic overhang could be much worse than a compute overhang.
Claim 3. Algorithmic overhangs are a major downside, sufficient to make me uncertain about whether slowdown proposals that incur algorithmic overhangs are net-positive.
The algorithmic overhang creates two major problems:
One counterargument to this basic case is that if AI companies are limited from making a more capable final training run, it's possible that they would not make any more algorithmic progress beyond what they're allowed to use. Unfortunately, I don't really buy this:
The next question is whether these downsides are sufficient in order to render non-algorithmic progress pacing net negative, as opposed to just less good than you might have thought. I think this depends on:
I’d like to do some quantitative analysis of these considerations.
Claim 4. The good versions of safety cases or limitations on model capabilities do this via limiting algorithmic progress.
I’m not in principle against safety cases; in the long term I think we really want a functional safety case based regime. The right way to implement safety cases involves gating algorithmic progress when in a position where you can’t scale capabilities. This is the only way to avoid an algorithmic overhang. This gets you the best of both worlds, but is more costly to the AI company (in part because it durably affects the capability trajectory). In practice, getting these details right seems extremely important and not on track.
For example by doing research to discover a more efficient architecture but not using it in the final training run.
I’m also worried that we don’t know how to write viable safety cases right now, and so in practice any safety case regime will just lead to motivated reasoning from AI companies to declare their systems are safe when they aren’t. But I’m going to assume this away for the purposes of this analysis.
Of course in reality, the effect of this policy will be a slight slowdown in algorithmic progress due to the marginal decrease in AI R&D uplift. The point is that the effect that matters is via limiting algorithmic progress. If the goal is to prevent algorithmic progress, limiting the capabilities of a final training run to prevent future automation is probably worse by my lights than preventing this more directly (e.g. via an AI R&D deployment lag). Deeper into the intelligence explosion, when AI R&D uplift is more important than it is today, this effect will be bigger and naive capabilities cap become a more attractive policy.
If I read the OP literally, it is about both recommendations to AI companies and to governments. My question is, why not have the government ban doing algorithmic R&D? I imagine the answer is "it's harder to do that than this other less good policy"; if so, that's what I'm asking about.
The answer could be a link to some standard discussion of why the government would be feasibly able to do some thing about lag and about compute allocation, but would not be as feasibly able to ban algorithmic R&D. To my lay ears, just banning the whole thing sounds similarly plausible. Apparently that's wrong, so I'm asking for an explanation of that.