95 karma · joined May 6, 2012
The hope would be that this unlocks some substantially more efficient or parsimonious math that would fit better on a chip. And that’s clearly my words, not the authors’, per the comment above.
(1) they are claiming to produce apparently bijective closed-form symbolic representations/approximations of, among other things, LLMs. Is evaluating these closed-form representations more computationally efficient? The implications of that are potentially huge. It would be essentially analytic distillation. Fable on a chip and not a data center would be important — and disruptive - in many ways.
(2) Unsupervised, and even supervised, symbolic approaches to problem solving break down due to combinatorial explosion, among other things. This could potentially allow us to treat LLM training and inference as a search algorithm for novel symbolic approaches to solving new classes of complex problems hitherto unreachable through other approaches. If that works, I suspect it’s a feedback loop, too - the learnings from one representation push advances in the other. This would also increase the economic value of large training runs, since the model itself is now valuable, not just its inference.
(3) Per the above, can this push LLM design to greater capabilities?
The relationship between this and Anthropic’s J-space observation is also interesting. This is much, much deeper and more directly actionable, though.
EDIT: I ran my questions through Sonnet — yes, I appreciate the irony — and it was none too sanguine about questions (1) and (2), but thought (3) was reasonable. In any case, this is quite the paper. On reflection, I do think that the apparent reliance on very simple symbolic representations and tasks is underwhelming. But the approach is impressive. And obviously this is still early days, and the value of building a bridge between the very fuzzy LLM models and the rigorous, mechanically provable models would be enormous.
Question: Does acetaminophen use during pregnancy increase children’s risk of neurodevelopmental disorders?
Findings: In this population-based study, models without sibling controls identified marginally increased risks of autism and attention-deficit/hyperactivity disorder (ADHD) associated with acetaminophen use during pregnancy. However, analyses of matched full sibling pairs found no evidence of increased risk of autism (hazard ratio, 0.98), ADHD (hazard ratio, 0.98), or intellectual disability (hazard ratio, 1.01) associated with acetaminophen use.
Meaning: Acetaminophen use during pregnancy was not associated with children’s risk of autism, ADHD, or intellectual disability in sibling control analyses. This suggests that associations observed in other models may have been attributable to confounding.
Also, I think it’s apparent that the world won’t wait for correct AI, whatever that even is, whether or not it even can exist, before it adopts AI. It sure looks like some employers are hurtling towards replacing (or, at least, reducing) human headcount with AI that performs below average at best, and expecting whoever’s left standing to clean up the mess. This will free up a lot of talent, both the people who are cut and the people who aren’t willing to clean up the resulting mess, for other shops that take a more human-based approach to staffing.
I’m looking forward to seeing which side wins. I don’t expect it to be cut-and-dry. But I do expect it to be interesting.
Thank you for the feedback. You're right.
It's one thing to point out errors constructively, but another thing entirely to make fun. After all, English isn't everyone's first language, and I'd have a tough time writing an article like this in Spanish, for example!
I've updated the article to remove that comment, although I still (gently) point out the worst of the errors. I've also added a theoretical framework to tighten up the argument a bit.
Thanks again for the feedback. There's no purpose in being nasty when the point can be made another way.
Disclaimer: I'm the author of the post, so that's not actually a different recommendation, just a more elaborate one. :)
I actually use that exact Einstein quotation in the article, attributed to the big man himself. One of my favorites.