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by wizzwizz4 239 days ago
If a process is necessary for performing a task, (sufficiently-large) neural networks trained on that task will approximate that process. That doesn't mean they're doing it anything resembling efficiently, or that a different architecture / algorithm wouldn't produce a better result.
2 comments

I’m not arguing about efficiency though ? Simply saying next token predictors cannot be thought of as actually just thinking about the next token with no long term plan.
They rebuild the "long term plan" anew for every token: there's no guarantee that the reconstructed plan will remain similar between tokens. That's not how planning normally works. (You can find something like this every time there's this kind of gross inefficiency, which is why I gave the general principle.)
> They rebuild the "long term plan" anew for every token

Well no, there is attention in the LLM which allows it to look back at it's "internal thought" during the previous tokens.

Token T at layer L, can attend to a projection of the hidden states of all tokens < T at L. So its definitely not starting anew at every token and is able to iterate on an existing plan.

Its not a perfect mechanism for sure, and there is work to make LLMs able to carry more information forward (e.g. feedback transformers), but they can definitely do some of that today.

This isn't the same as planning. Consider what happens when tokens from another source are appended.
I don't follow how this relates to what we are discussing. Autoregressive LLMs are able to plan within a single forward pass and are able to look back at their previous reasoning and do not start anew at each token like you said.

If you append tokens from another source, like in a turn base conversation, then the LLM will process all the new appended tokens in parallel while still being able to look back at it's previous internal state (and thus past reasoning/planning in latent space) from the already processed tokens, then will adjust the plan based on the new information.

What happens to you as a human if you come up with a plan with limited information and new information is provided to you?

Not the original person you are replying to, but I wanted to add:

Yes, they can plan within a single forward pass like you said, but I still think they "start anew at each token" because they have no state/memory that is not the output.

I guess this is differing interpretations of the meaning of "start anew", but personally I would agree that having no internal state and simply looking back at it's previous output to form a new token is "starting anew".

But I'm also not well informed about the topic so happy to be corrected.

Actually, due to using causal (masked) attention, new tokens appended to the input don't have any effect on what's calculated internally (the "plan") at earlier positions in the input, and a modern LLM therefore uses a KV cache rather than recalculating at those earlier positions.

In other words, the "recalculated" plan will be exactly the same as before, just extended with new planning at the position of each newly appended token.

You can violate the plan in the sampler by making an "unreasonable" choice of next token to sample (eg by raising the temperature.) So if it does stick to the same plan, it's not going to be a very good one.
Yeah.

Karpathy recently referred to LLMs having more "working memory" than a human, apparently referring to these unchanging internal activations as "memory", but it's an odd sort of "working memory" if you can't actually update it to reflect progress on what you are working on, or update per new information (new unexpected token having been sampled).

I think a better mental framework of how those model work is that they keep an history of the state of their "memory" across time.

Where humans have a single evolving state of our memory LLMs have access to all the states of their "memories" across time, and while past state can't be changed, the new state can: This is the current token's hidden state, and to form this new state they look both at the history of previous states as well as the new information (last token having been sample, or external token from RAG or whatnot appended to the context).

This is how progress is stored.

Right, and this is what "reasoning LLMs" work around by having explicitly labelly "reasoning tokens".

This lets them "save" the plan between tokens, so when regenerating the new token it is following the plan.

It also doesn’t mean they’re doing it inefficiently.
I read this to mean “just because the process doesn’t match the problem, that doesn’t mean it’s inefficient”. But I think it does mean that. I expect we intuitively know that data structures which match the structure of a problem are more efficient than those that don’t. I think the same thing applies here.

I realize my argument is hand wavey, i haven’t defined “efficient“ (in space? Time? Energy?), and there are other shortcomings, but I feel this is “good enough” to be convincing

Example: a list of (key, value) pairs is a perfectly valid way to implement a map, and suffices. However, a more complicated tree structure, perhaps with hashed keys, is usually way more efficient, which is increasingly-noticeable as the number of pairs stored in the map grows large.
I suppose there’s something in what you’re saying, it’s just that’s it’s sorta vague and hard to parse for me. It also depends on the higher order problem space, for example: is it efficient if the problem is defined by “make something that can adapt to a problem space and solve it without manual engineering” rather than “make something with a long lead up time where you understand the problem space in advance and therefore have time to optimise the engine”. In the former, the neural network would indeed count as solving this efficiently, because of the given definition of the goal.