AI notkilleveryoneism researcher, focused on interpretability.
Personal account, opinions are my own.
I have signed no contracts or agreements whose existence I cannot mention.
Lucius Bushnaq
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The features a model thinks in do not need to form a basis or dictionary for its activations.
Three assumptions people in interpretability often make about the features that comprise a model’s ontology:
Features are one-dimensional variables.
Meaning, the value of feature on data point can be represented by some scalar number .
Features are ‘linearly represented’.
Features form a ‘basis’ for activation space.[3]
Meaning, the model’s activations at a given layer can be decomposed into a sum over all the features of the model represented in that layer[4]: .
It seems to me that a lot of people are not tracking that 3) is an extra assumption they are making. I think they think that assumption 3) is a natural consequence of assumptions 1) and 2), or even just of assumption 2) alone. It’s not.
Counterexample
Model setup
Suppose we have a language model that has a thousand sparsely activating scalar, linearly represented features for different animals. So, “elephant”, “giraffe”, “parrot”, and so on all with their own associated feature directions . The model embeds those one thousand animal features in a fifty-dimensional sub-space of the activations. This subspace has a meaningful geometry: It is spanned by a set of fifty directions corresponding to different attributes animals have. Things like “furriness”, “size”, “length of tail” and such. So, each animal feature can equivalently be seen as either one of a thousand sparsely activating scalar feature, or just as a particular setting of those fifty not-so-sparse scalar attributes.
Some circuits in the model act on the animal directions . E.g. they have query-key lookups for various facts about elephants and parrots. Other circuits in the model act on the attribute directions . They’re involved in implementing logic like ‘if there’s a furry animal in the room, people with allergies might have problems’. Sometimes they’re involved in circuits that have nothing to do with animals whatsoever. The model’s “size” attribute is the same one used for houses and economies for example, so that direction might be read-in to a circuit storing some fact about economic growth.
So, both the one thousand animal features and the fifty attribute features are elements of the model’s ontology, variables along which small parts of its cognition are structured. But we can’t make a basis for the model activations out of those one thousand and fifty features of the model. We can write either , or . But does not equal the model activation vector , it’s too large.Doing interp on this model
Say we choose as our basis for this subspace of the example model’s activations, and then go on to make a causal graph of the model’s computation, with each basis element being a node in the graph, and lines between nodes representing connections. Then the circuits dealing with query-key lookups for animal facts will look neat and understandable at a glance, with few connections and clear logic. But the circuits involving the attributes will look like a mess. A circuit reading in the size direction will have a thousand small but collectively significant connections to all of the animals.
If we choose as our basis for the graph instead, circuits that act on some of the fifty attributes will look simple and sensible, but now the circuits storing animal facts will look like a mess. A circuit implementing “space” AND “cat” ⇒ [increase association with rainbows] is going to have fifty connections to features like “size” and “furriness’.
The model’s ontology does not correspond to either the basis or the basis. It just does not correspond to any basis of activation space at all, not even in a loose sense. Different circuits in the model can just process the activations in different bases, and they are under no obligation to agree with each other. Not even if they are situated right next to each other, in the same model layer.
Note that for all of this, we have not broken assumption 1) or assumption 2). The features this model makes use of are all linearly represented and scalar. We also haven’t broken the secret assumption 0) I left out at the start, that the model can be meaningfully said to have an ontology comprised of elementary features at all.
Takeaways
I’ve seen people call out assumptions 1) and 2), and at least think about how we can test whether they hold, and how we might need to adjust our interpretability techniques if and when they don’t hold. I have not seen people do this for assumption 3). Though I might just have missed it, of course.
My current dumb guess is that assumption 2) is mostly correct, but assumptions 1) and 3) are both incorrect.The reason I think assumption 3) is incorrect is that the counterexample I sketched here seems to me like it’d be very common. LLMs seem to be made of lots of circuits. Why would these circuits all share a basis? They don’t seem to me to have much reason to.
I think a way we might find the model’s features without assumption 3) is to focus on the circuits and computations first. Try to directly decompose the model weights or layer transitions into separate, simple circuits, then infer the model’s features from looking at the directions those circuits read and write to. In the counterexample above, this would have shown us both the animal features and the attribute features.
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Potentially up to some small noise. For a nice operationalisation, see definition 2 on page 3 of this paper.
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It’s a vector because we’ve already assumed that features are all scalar. If a feature was two-dimensional instead, this would be a projection into an associated two-dimensional subspace.
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I’m using the term basis loosely here, this also includes sparse overcomplete ‘bases’ like those in SAEs. The more accurate term would probably be ‘dictionary’, or ‘frame’.
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Or if the computation isn’t layer aligned, the activations along some other causal cut through the network can be written as a sum of all the features represented on that cut.
I think the value proposition of AI 2027-style work lies largely in communication. Concreteness helps people understand things better. The details are mostly there to provide that concreteness, not to actually be correct.
If you imagine the set of possible futures that people like Daniel, you or I think plausible as big distributions, with high entropy and lots of unknown latent variables, the point is that the best way to start explaining those distributions to people outside the community is to draw a sample from them and write it up. This is a lot of work, but it really does seem to help. My experience matches habryka’s here. Most people really want to hear concrete end-to-end scenarios, not abstract discussion of the latent variables in my model and their relationships.
The bound is the same one you get for normal Solomonoff induction, except restricted to the set of programs the cut-off induction runs over. It’s a bound on the total expected error in terms of CE loss that the predictor will ever make, summed over all datapoints.
Look at the bound for cut-off induction in that post I linked, maybe? Hutter might also have something on it.Can also discuss on a call if you like.
Note that this doesn’t work in real life, where the programs are not in fact restricted to outputting bit string predictions and can e.g. try to trick the hardware they’re running on.
You also want one that generalises well, and doesn’t do preformative predictions, and doesn’t have goals of its own. If your hypotheses aren’t even intended to be reflections of reality, how do we know these properties hold?
Because we have the prediction error bounds.
When we compare theories, we don’t consider the complexity of all the associated approximations and abstractions. We just consider the complexity of the theory itself.
E.g. the theory of evolution isn’t quite code for a costly simulation. But it can be viewed as set of statements about such a simulation. And the way we compare the theory of evolution to alternatives doesn’t involve comparing the complexity of the set of approximations we used to work out the consequences of each theory.
Yes.
That’s fine. I just want a computable predictor that works well. This one does.
Also, scientific hypotheses in practice aren’t actually simple code for a costly simulation we run. We use approximations and abstractions to make things cheap. Most of our science outside particle physics is about finding more effective approximations for stuff.
Edit: Actually, I don’t think this would yield you a different general predictor as the program dominating the posterior. General inductor program running program is pretty much never going to be the shortest implementation of .
If you make an agent by sticking together cut-off Solomonoff induction and e.g. causal decision theory, I do indeed buy that this agent will have problems. Because causal decision theory has problems.
Thank you for this summary.
I still find myself unconvinced by all the arguments against the Solomonoff prior I have encountered. For this particular argument, as you say, there’s still many ways the conjectured counterexample of adversaria could fail if you actually tried to sit down and formalise it. Since the counterexample is designed to break a formalism that looks and feels really natural and robust to me, my guess is that the formalisation will indeed fall to one of these obstacles, or a different one.
In a way, that makes perfect sense; Solomonoff induction really can’t run in our universe! Any robot we could build to “use Solomonoff induction” would have to use some approximation, which the malign prior argument may or may not apply to.
You can just reason about Solomonoff induction with cut-offs instead. If you render the induction computable by giving it a uniform prior over all programs of some finite length [1] with runtime , it still seems to behave sanely. As in, you can derive analogs of the key properties of normal Solomonoff induction for this cut-off induction. E.g. the induction will not make more than bits worth of prediction mistakes compared to any ‘efficient predictor’ program with runtime and K-complexity , it’s got a rough invariance to what Universal Turing Machine you run it on, etc. .
Since finite, computable things are easier for me to reason about, I mostly use this cut-off induction in my mental toy models of AGI these days.
EDIT: Apparently, this exists in the literature under the name AIXI-tl. I didn’t know that. Neat.
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So, no prefix-free requirement.
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A quick google search says the male is primary or exclusive breadwinner in a majority of married couples. Ass-pull number: the monetary costs alone are probably ~50% higher living costs. (Not a factor of two higher, because the living costs of two people living together are much less than double the living costs of one person. Also I’m generally considering the no-kids case here; I don’t feel as confused about couples with kids.
But remember that you already conditioned on ‘married couples without kids’. My guess would be that in the subset of man-woman married couples without kids, the man being the exclusive breadwinner is a lot less common than in the set of all man-woman married couples. These properties seem like they’d be heavily anti-correlated.
In the subset of man-woman married couples without kids that get along, I wouldn’t be surprised if having a partner effectively works out to more money for both participants, because you’ve got two incomes, but less than 2x living expenses.I was picturing an anxious attachment style as the typical female case (without kids). That’s unpleasant on a day-to-day basis to begin with, and I expect a lack of sex tends to make it a lot worse.
I am … not … picturing that as the typical case? Uh, I don’t know what to say here really. That’s just not an image that comes to mind for me when I picture ‘older hetero married couple’. Plausibly I don’t know enough normal people to have a good sense of what normal marriages are like.
Eyeballing Aella’s relationship survey data, a bit less than a third of respondents in 10-year relationships reported fighting multiple times a month or more. That was somewhat-but-not-dramatically less than I previously pictured. Frequent fighting is very prototypically the sort of thing I would expect to wipe out more-than-all of the value of a relationship, and I expect it to be disproportionately bad in relationships with little sex.
I think for many of those couples that fight multiple times a month, the alternative isn’t separating and finding other, happier relationships where there are never any fights. The typical case I picture there is that the relationship has some fights because both participants aren’t that great at communicating or understanding emotions, their own or other people’s. If they separated and found new relationships, they’d get into fights in those relationships as well.
It seems to me that lots of humans are just very prone to getting into fights. With their partners, their families, their roommates etc., to the point that they have accepted having lots of fights as a basic fact of life. I don’t think the correct takeaway from that is ‘Most humans would be happier if they avoided having close relationships with other humans.’
Less legibly… conventional wisdom sure sounds like most married men find their wife net-stressful and unpleasant to be around a substantial portion of the time, especially in the unpleasant part of the hormonal cycle, and especially especially if they’re not having much sex. For instance, there’s a classic joke about a store salesman upselling a guy a truck, after upselling him a boat, after upselling him a tackle box, after [...] and the punchline is “No, he wasn’t looking for a fishing rod. He came in looking for tampons, and I told him ‘dude, your weekend is shot, you should go fishing!’”.
Conventional wisdom also has it that married people often love each other so much they would literally die for their partner. I think ‘conventional wisdom’ is just a very big tent that has room for everything under the sun. If even 5-10% of married couples have bad relationships where the partners actively dislike each other, that’d be many millions of people in the English speaking population alone. To me, that seems like more than enough people to generate a subset of well-known conventional wisdoms talking about how awful long-term relationships are.
Case in point, I feel like I hear those particular conventional wisdoms less commonly these days in the Western world. My guess is this is because long-term heterosexual marriage is no longer culturally mandatory, so there’s less unhappy couples around generating conventional wisdoms about their plight.
So, next question for people who had useful responses (especially @Lucius Bushnaq and @yams): do you think the mysterious relationship stuff outweighs those kinds of costs easily in the typical case, or do you imagine the costs in the typical case are not all that high?
So, in summary, both I think? I feel like the ‘typical’ picture of a hetero marriage you sketch is more like my picture of an ‘unusually terrible’ marriage. You condition on a bad sexual relationship and no children and the woman doesn’t earn money and the man doesn’t even like her, romantically or platonically. That subset of marriages sure sounds like it’d have a high chance of the man just walking away, barring countervailing cultural pressures. But I don’t think most marriages where the sex isn’t great are like that.
Sure, I agree that, as we point out in the post
Yes, sorry I missed that. The section is titled ‘Conclusions’ and comes at the end of the post, so I guess I must have skipped over it because I thought it was the post conclusion section rather than the high-frequency latents conclusion section.
As long as your evaluation metrics measure the thing you actually care about...
I agree with this. I just don’t think those autointerp metrics robustly capture what we care about.
Removing High Frequency Latents from JumpReLU SAEs
On a first read, this doesn’t seem principled to me? How do we know those high-frequency latents aren’t, for example, basis directions for dense subspaces or common multi-dimensional features? In that case, we’d expect them to activate frequently and maybe appear pretty uninterpretable at a glance. Modifying the sparsity penalty to split them into lower frequency latents could then be pathological, moving us further away from capturing the features of the model even though interpretability scores might improve.
That’s just one illustrative example. More centrally, I don’t understand how this new penalty term relates to any mathematical definition that isn’t ad-hoc. Why would the spread of the distribution matter to us, rather than simply the mean? If it does matter to us, why does it matter in roughly the way captured by this penalty term?The standard SAE sparsity loss relates to minimising the description length of the activations. I suspect that isn’t the right metric to optimise for understanding models, but it is at least a coherent, non-ad-hoc mathematical object.
EDIT: Oops, you address all that in the conclusion, I just can’t read.
Forgot to tell you this when you showed me the draft: The comp in sup paper actually had a dense construction for UAND included already. It works differently than the one you seem to have found though, using Gaussian weights rather than binary weights.
I will continue to do what I love, which includes reading and writing and thinking about biosecurity and diseases and animals and the end of the world and all that, and I will scrape out my existence one way or another.
Thank you. As far as I’m aware we don’t know each other at all, but I really appreciate you working to do good.
I don’t think the risks of talking about the culture war have gone down. If anything, it feels like it’s yet again gotten worse. What exactly is risky to talk about has changed a bit, but that’s it. I’m more reluctant than ever to involve myself in culture war adjacent discussions.
This comment by Carl Feynman has a very crisp formulation of the main problem as I see it.
They’re measuring a noisy phenomenon, yes, but that’s only half the problem. The other half of the problem is that society demands answers. New psychology results are a matter of considerable public interest and you can become rich and famous from them. In the gap between the difficulty of supply and the massive demand grows a culture of fakery. The same is true of nutrition— everyone wants to know what the healthy thing to eat is, and the fact that our current methods are incapable of discerning this is no obstacle to people who claim to know.
For a counterexample, look at the field of planetary science. Scanty evidence dribbles in from occasional spacecraft missions and telescopic observations, but the field is intellectually sound because public attention doesn’t rest on the outcome.
So, the recipe for making a broken science you can’t trust is
The public cares a lot about answers to questions that fall within the science’s domain.
The science currently has no good attack angles on those questions.
As you say, if a field is exposed to these incentives for a while, you get additional downstream problems like all the competent scientist who care about actual progress leaving. But I think that’s a secondary effect. If you replaced all the psychology grads with physics and electrical engineering grads overnight, I’d expect you’d at best get a very brief period of improvement before the incentive gradient brought the field back to the status quo. On the other hand, if the incentives suddenly changed, I think reforming the field might become possible.
This suggests that if you wanted to found new parallel fields of nutrition, psychology etc. you could trust, you should consider:
Making it rare for journalists to report on your new fields. Maybe there’s just a cultural norm against talking to the press and publishing on Twitter. Maybe people have to sign contracts about it if they want to get grants. Maybe the research is outright siloed because it is happening inside some company.
Finding funders who won’t demand answers if answers can’t be had. Seems hard. This might exclude most companies. The usual alternative is government&charity, but those tend to care too much about what the findings are. My model of how STEM manages to get useful funding out of them is that funding STEM is high-status, but STEM results are mostly too boring and removed from the public interest for the funders to get invested in them.
Relationship … stuff?
I guess I feel kind of confused by the framing of the question. I don’t have a model under which the sexual aspect of a long-term relationship typically makes up the bulk of its value to the participants. So, if a long-term relationship isn’t doing well on that front, and yet both participants keep pursuing the relationship, my first guess would be that it’s due to the value of everything that is not that. I wouldn’t particularly expect any one thing to stick out here. Maybe they have a thing where they cuddle and watch the sunrise together while they talk about their problems. Maybe they have a shared passion for arthouse films. Maybe they have so much history and such a mutually integrated life with partitioned responsibilities that learning to live alone again would be a massive labour investment, practically and emotionally. Maybe they admire each other. Probably there’s a mixture of many things like that going on. Love can be fed by many little sources.
So, this I suppose:Their romantic partner offering lots of value in other ways. I’m skeptical of this one because female partners are typically notoriously high maintenance in money, attention, and emotional labor. Sure, she might be great in a lot of ways, but it’s hard for that to add up enough to outweigh the usual costs.
I don’t find it hard at all to see how that’d add up to something that vastly outweighs the costs, and this would be my starting guess for what’s mainly going on in most long-term relationships of this type.
This data seems to be for sexual satisfaction rather than romantic satisfaction or general relationship satisfaction.
How sub-light? I was mostly just guessing here, but if it’s below like 0.95c I’d be surprised.
It expands at light speed. That’s fast enough that no computational processing can possibly occur before we’re dead. Sure there’s branches where it maims us and then stops, but these are incredibly subdominant compared to branches where the tunneling doesn’t happen.
Yes, you can make suicide machines very reliable and fast. I claim that whether your proposed suicide machine actually is reliable does in fact matter for determining whether you are likely to find yourself maimed. Making suicide machines that are synchronised earth-wide seems very difficult with current technology.
This. The struggle is real. My brain has started treating publishing a LessWrong post almost the way it’d treat publishing a paper. An acquaintance got upset at me once because they thought I hadn’t provided sufficient discussion of their related Lesswrong post in mine. Shortforms are the place I still feel safe just writing things.
It makes sense to me that this happened. AI Safety doesn’t have a journal, and training programs heavily encourage people to post their output on LessWrong. So part of it is slowly becoming a journal, and the felt social norms around posts are morphing to reflect that.
For the same reasons training an agent on a constitution that says to care about x does not, at arbitrary capability levels, produce an agent that cares about x.
If you think that doing this does produce an agent that cares about x even at arbitrary capability levels, then I guess in your world model it would indeed be consistent for that to work for inducing corrigibility as well.