It's actually no different for dice than for LLMs. Explaining accurately the reason for the exact outcome of any given dice roll someone makes would be stupendously hard. It would require lots of instrumentation and math and be poorly transferrable to another surface, another player, etc.

But even so people don't say that we don't understand how dice work.

Saying that we don't understand how LLMs work is exactly like saying we don't understand how dice, or tires, or golf ball shots work. Or like the old myth that we don't understand how bumblebees fly.

It’s different in this way:

The best way to model dice is the Physical Stance. You consider rules such as gravity, kinematics, etc. There is no “internal state”, “world model”, “knowledge”. If you prefer, in Friston’s terms, there is no Markov Blanket.

The best way to model a human is the Intentional Stance[1]. You mostly need things like beliefs, knowledge, biases, etc to build this model. In Friston’s terms, there is a Markov Blanket, an inside vs outside.

Without going into any irrelevant-but-interesting philosophical discussions about consciousness, I believe the intentional stance is most useful for modeling LLMs. Most of the success in predicting, debugging, optimizing these systems is in activities like understanding what they believe, what their intent was, what they observed, what they concluded from those observations. Also note that much simpler creatures benefit from the Intentional Stance; you will be more successful at modeling your dog if you think about what it “wants” rather than trying to run Physics on it.

[1]: https://en.wikipedia.org/wiki/Intentional_stance - the astute reader will note that I skipped the Design Stance. If we truly understood how NNs actually implement all their cognitive processes then we could perhaps apply this to them; if we actually crafted and designed every parameter of its mind. But we are talking about why dice are different.

Great comment. I didn't know about this! Thanks

The latest episode of On The Media also uses this framing.

> On the Media: How Extinction Entered the AI Debate

https://www.wnycstudios.org/podcasts/otm

That's precisely the point: you may be able to understand dice statistically and over the course of long rolls of dice you can extract some properties of the dice. But you won't ever understand any particular roll of the dice.

But importantly for dice we do understand the overarching principles that give rise to this. And dice don't output coherent sentences. Meanwhile in LLM land the analogous "roll of the dice" can result in a coherent response in natural language.

If you use a loaded dice, you can be pretty confident about where it will lands. It may not be 100% accurate, but can be quite close to certain. Without training the weight are pure noises. After training, it leans towards coherent sentences and particular statements.

Yes, and I believe my point still stands. We thoroughly understand the principle by which a loaded die can be intentionally biased despite not being able to predict the outcome of any given throw due to the system in question being a chaotic one.

In contrast, we do not understand LLMs in the same way (nor biological brains). Claiming that anything of that nature is simply biased towards coherent output seems entirely reductive to me - the question is how such coherence arises in the first place. There is no meaning encoded or computation performed by the particular pathway a die travels through the chaotic landscape.

Sure an argument can be made that it's "just" a next token predictor thus how is it really any different from a markov model? Yet the output is not even remotely the same.

> In contrast, we do not understand LLMs in the same way

From my point of view, (not a ML researcher), it’s due to the magic of numbers. The same thing happens with computer vision and neural networks. There’s a bunch of magic weights that get created which has no meaning by themselves, but computing them does help with detecting objects.

So if you take words, derives them into tokens, use the attention techniques to extract the “coherency” aspect, it’s no wonder you can replicate “coherency”. Add reinforcement learning to that to increase towards certain aspects like correct code syntax and you have heavily loaded the dice again.

We have used maths to model chemistry, biology, and physics, as well as economics and sociologic phenomena. Then we use maths (more specifically logic and set theory) to usher in the age of information and computing. Now you want us to act surprised that maths, through ML, can model language.

Maybe further down the line, we can have a simpler set of formulas for language coherency, but for now we have to make to with using the whole internet and a bazillion watts of power to guess the weights for the generic ML model.

I'm comparing it with chess. Chess is pretty complex, complex enough that only a small subset of humans can play it at a very high level. Introducing computers to chess first led to a statistical and brute force approach. But once that had paid off and the results were in people spent a lot of time analyzing those results and this led to an entirely new class of engine that was far more efficient than what had gone before and which performed even better than the 'big iron'.

I would not be surprised at all if we will find that AI will go the same route. The fact that we don't know how it works is where the opportunity for improvement lies.

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