by Buck
1 min read70 comments
Crossposted from the AI Alignment Forum. May contain more technical jargon than usual.
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[-]Buck620

I think that an extremely effective way to get a better feel for a new subject is to pay an online tutor to answer your questions about it for an hour.

It turns that there are a bunch of grad students on Wyzant who mostly work tutoring high school math or whatever but who are very happy to spend an hour answering your weird questions.

For example, a few weeks ago I had a session with a first-year Harvard synthetic biology PhD. Before the session, I spent a ten-minute timer writing down things that I currently didn't get about biology. (This is an exercise worth doing even if you're not going to have a tutor, IMO.) We spent the time talking about some mix of the questions I'd prepared, various tangents that came up during those explanations, and his sense of the field overall.

I came away with a whole bunch of my minor misconceptions fixed, a few pointers to topics I wanted to learn more about, and a way better sense of what the field feels like and what the important problems and recent developments are.

There are a few reasons that having a paid tutor is a way better way of learning about a field than trying to meet people who happen to be in that field. I really like it that I'm payi

... (read more)

I've hired tutors around 10 times while I was studying at UC-Berkeley for various classes I was taking. My usual experience was that I was easily 5-10 times faster in learning things with them than I was either via lectures or via self-study, and often 3-4 one-hour meetings were enough to convey the whole content of an undergraduate class (combined with another 10-15 hours of exercises).

How do you spend time with the tutor? Whenever I tried studying with a tutor, it didn't seem more efficient than studying using a textbook. Also when I study on my own, I interleave reading new materials and doing the exercises, but with a tutor it would be wasteful to do exercises during the tutoring time.

I usually have lots of questions. Here are some types of questions that I tended to ask:

  • Here is my rough summary of the basic proof structure that underlies the field, am I getting anything horribly wrong?
    • Examples: There is a series of proof at the heart of Linear Algebra that roughly goes from the introduction of linear maps in the real numbers to the introduction of linear maps in the complex numbers, then to finite fields, then to duality, inner product spaces, and then finally all the powerful theorems that tend to make basic linear algebra useful.
    • Other example: Basics of abstract algebra, going from groups and rings to modules, fields, general algebra's, etcs.
  • "I got stuck on this exercise and am confused how to solve it". Or, "I have a solution to this exercise but it feels really unnatural and forced, so what intuition am I missing?"
  • I have this mental visualization that I use to solve a bunch of problems, are there any problems with this mental visualization and what visualization/intuition pumps do you use?
    • As an example, I had a tutor in Abstract Algebra who was basically just: "Whenever I need to solve a problem of "this type of group ha
... (read more)
2DanielFilan
This isn't just you! See Bloom's 2 sigma effect.
[-][anonymous]110

Hired an econ tutor based on this.

4magfrump
How do you connect with tutors to do this? I feel like I would enjoy this experience a lot and potentially learn a lot from it, but thinking about figuring out who to reach out to and how to reach out to them quickly becomes intimidating for me.
5habryka
I posted on Facebook, and LW might actually also be a good place for some subset of topics.
1Buck
I recommend looking on Wyzant.
3Buck
nowadays, GPT-4 substantially obsoletes tutors.
1Quadratic Reciprocity
Are there specific non-obvious prompts or custom instructions you use for this that you've found helpful? 
3Ben Pace
This sounds like a really fun thing I can do at weekends / in the mornings. I’ll try it out and report back sometime.
2Chris_Leong
Thanks for posting this. After looking, I'm definitely tempted.
1sudo
I'd be excited about more people posting their experiences with tutoring 
[-]BuckΩ22510

[this is a draft that I shared with a bunch of friends a while ago; they raised many issues that I haven't addressed, but might address at some point in the future]

In my opinion, and AFAICT the opinion of many alignment researchers, there are problems with aligning superintelligent models that no alignment techniques so far proposed are able to fix. Even if we had a full kitchen sink approach where we’d overcome all the practical challenges of applying amplification techniques, transparency techniques, adversarial training, and so on, I still wouldn’t feel that confident that we’d be able to build superintelligent systems that were competitive with unaligned ones, unless we got really lucky with some empirical contingencies that we will have no way of checking except for just training the superintelligence and hoping for the best.

Two examples: 

  • A simplified version of the hope with IDA is that we’ll be able to have our system make decisions in a way that never had to rely on searching over uninterpretable spaces of cognitive policies. But this will only be competitive if IDA can do all the same cognitive actions that an unaligned system can do, which is probably false, eg cf In
... (read more)
7Steven Byrnes
I wonder what you mean by "competitive"? Let's talk about the "alignment tax" framing. One extreme is that we can find a way such that there is no tradeoff whatsoever between safety and capabilities—an "alignment tax" of 0%. The other extreme is an alignment tax of 100%—we know how to make unsafe AGIs but we don't know how to make safe AGIs. (Or more specifically, there are plans / ideas that an unsafe AI could come up with and execute, and a safe AI can't, not even with extra time/money/compute/whatever.) I've been resigned to the idea that an alignment tax of 0% is a pipe dream—that's just way too much to hope for, for various seemingly-fundamental reasons like humans-in-the-loop being more slow and expensive than humans-out-of-the-loop (more discussion here). But we still want to minimize the alignment tax, and we definitely want to avoid the alignment tax being 100%. (And meanwhile, independently, we try to tackle the non-technical problem of ensuring that all the relevant players are always paying the alignment tax.) I feel like your post makes more sense to me when I replace the word "competitive" with something like "arbitrarily capable" everywhere (or "sufficiently capable" in the bootstrapping approach where we hand off AI alignment research to the early AGIs). I think that's what you have in mind?—that you're worried these techniques will just hit a capabilities wall, and beyond that the alignment tax shoots all the way to 100%. Is that fair? Or do you see an alignment tax of even 1% as an "insufficient strategy"?
2Pattern
I think was the idea behind 'oracle ai's'. (Though I'm aware there were arguments against that approach.) One of the arguments I didn't see for was: "As we get better at this alignment stuff we will reduce the 'tradeoff'. (Also, arguably, getting better human feedback improves performance.)
1TekhneMakre
I appreciate your points, and I don't think I see significant points of disagreement. But in terms of emphasis, it seems concerning to be putting effort into (what seems like) rationalizing not updating that a given approach doesn't have a hope of working. (Or maybe more accurately, that a given approach won't lead to a sufficient understanding that we could know it would work, which (with further argument) implies that it will not work.) Like, I guess I want to amplify your point > But I think it’s also quite important for people to remember that they’re insufficient, and that they don’t suffice to solve the whole problem on their own. and say further that one's stance to the benefit of working on things with clearer metrics of success, would hopefully include continuously noticing everyone else's stance to that situation. If a given unit of effort can only be directed towards marginal things, then we could ask (for example): What would it look like to make cumulative marginal progress towards, say, improving our ability to propose better approaches, rather than marginal progress on approaches that we know won't resolve the key issues?
1Pattern
That may be 'the best we could hope for', but I'm more worried about 'we can't understand the neural net (with the tools we have)' than "the neural net is doing things that rely on concepts that it’s fundamentally impossible for humans to understand". (Or, solving the task requires concepts that are really complicated to understand (though maybe easy for humans to understand), and so the neural network doesn't get it.) Whether or not "empirical contingencies work out nicely", I think the concern about 'fundamentally impossible to understand concepts" is...something that won't show up in every domain. (I also think that things do exist that people can understand, but it takes a lot of work, so people don't do it. There's an example from math involving some obscure theorems that aren't used a lot for that reason.)
0Chantiel
Potentially people could have the cost function of an AI's model have include its ease of interpretation by humans a factor. Having people manually check every change in a model for its effect on interperability would be too slow, but an AI could still periodically check its current best model with humans and learn a different one if it's too hard to interpret. I've seen a lot of mention of the importance of safe AI being competitive with non-safe AI. And I'm wondering what would happen if the government just illegalized or heavily taxed the use of the unsafe AI techniques. Then even with significant capability increases, it wouldn't be worthwhile to use them. Is there something very doubtful about governments creating such a regulation? I mean, I've already heard some people high in the government concerned about AI safety. And the Future of Life institute got the Californian government to unanimously pass the Asilomar AI Principles. It includes things about AI safety, like rigidly controlling any AI that can recursively self-improve. It sounds extremely dangerous having widespread use of powerful, unaligned AI. So simply to protect their selves and families, they could potentially benefit a lot from implementing such regulations.
-1Zack_M_Davis
A key psychological advantage of the "modest alignment" agenda is that it's not insanity-inducing. When I seriously contemplate the problem of selecting a utility function to determine the entire universe until the end of time, I want to die (which seems safer and more responsible). But the problem of making language models "be honest" instead of just continuing the prompt? That's more my speed; that, I can think about, and possibly even usefully contribute to, without wanting to die. (And if someone else in the future uses honest language models as one of many tools to help select a utility function to determine the entire universe until the end of time, that's not my problem and not my fault.)
5TekhneMakre
What's insanity-inducing about it? (Not suggesting you dip into the insanity-tending state, just wondering if you have speculations from afar.) The problem statement you gave does seem to have an extreme flavor. I want to distinguish "selecting the utility function" from the more general "real core of the problem"s. The OP was about (the complement of) the set of researchers directions that are in some way aimed directly at resolving core issues in alignment. Which sounds closer to your second paragraph. If it's philosophical difficulty that's insanity-inducing (e.g. "oh my god this is impossible we're going to die aaaahh"), that's a broader problem. But if it's more "I can't be responsible for making the decision, I'm not equipped to commit the lightcone one way or the other", that seems orthogonal to some alignment issues. For example, trying to understand what it would look like to follow along an AI's thoughts is more difficult and philosophically fraught than your framing of engineering honesty, but also doesn't seem responsibility-paralysis, eh?
[-]BuckΩ324818

[epistemic status: I think I’m mostly right about the main thrust here, but probably some of the specific arguments below are wrong. In the following, I'm much more stating conclusions than providing full arguments. This claim isn’t particularly original to me.]

I’m interested in the following subset of risk from AI:

  • Early: That comes from AIs that are just powerful enough to be extremely useful and dangerous-by-default (i.e. these AIs aren’t wildly superhuman).
  • Scheming: Risk associated with loss of control to AIs that arises from AIs scheming
    • So e.g. I exclude state actors stealing weights in ways that aren’t enabled by the AIs scheming, and I also exclude non-scheming failure modes. IMO, state actors stealing weights is a serious threat, but non-scheming failure modes aren’t (at this level of capability and dignity).
  • Medium dignity: that is, developers of these AIs are putting a reasonable amount of effort into preventing catastrophic outcomes from their AIs (perhaps they’re spending the equivalent of 10% of their budget on cost-effective measures to prevent catastrophes).
  • Nearcasted: no substantial fundamental progress on AI safety techniques, no substantial changes in how AI wo
... (read more)
6Matthew Barnett
Can you be more clearer this point? To operationalize this, I propose the following question: what is the fraction of world GDP you expect will be attributable to AI at the time we have these risky AIs that you are interested in?  For example, are you worried about AIs that will arise when AI is 1-10% of the economy, or more like 50%? 90%?
8ryan_greenblatt
One operationalization is "these AIs are capable of speeding up ML R&D by 30x with less than a 2x increase in marginal costs". As in, if you have a team doing ML research, you can make them 30x faster with only <2x increase in cost by going from not using your powerful AIs to using them. With these caveats: * The speed up is relative to the current status quo as of GPT-4. * The speed up is ignoring the "speed up" of "having better experiments to do due to access to better models" (so e.g., they would complete a fixed research task faster). * By "capable" of speeding things up this much, I mean that if AIs "wanted" to speed up this task and if we didn't have any safety precautions slowing things down, we could get these speedups. (Of course, AIs might actively and successfully slow down certain types of research and we might have burdensome safety precautions.) * The 2x increase in marginal cost is ignoring potential inflation in the cost of compute (FLOP/$) and inflation in the cost of wages of ML researchers. Otherwise, I'm uncertain how exactly to model the situation. Maybe increase in wages and decrease in FLOP/$ cancel out? Idk. * It might be important that the speed up is amortized over a longer duration like 6 months to 1 year. I'm uncertain what the economic impact of such systems will look like. I could imagine either massive (GDP has already grown >4x due to the total effects of AI) or only moderate (AIs haven't yet been that widely deployed due to inference availability issues, so actual production hasn't increased that much due to AI (<10%), though markets are pricing in AI being a really, really big deal). So, it's hard for me to predict the immediate impact on world GDP. After adaptation and broad deployment, systems of this level would likely have a massive effect on GDP.
6Raemon
I didn't get this from the premises fwiw. Are you saying it's trivial because "just don't use your AI to help you design AI" (seems organizationally hard to me), or did you have particular tricks in mind?
6ryan_greenblatt
The claim is that most applications aren't internal usage of AI for AI development and thus can be made trivially safe. Not that most applications of AI for AI development can be made trivially safe.
5Akash
I think it depends on how you're defining an "AI control success". If success is defined as "we have an early transformative system that does not instantly kill us– we are able to get some value out of it", then I agree that this seems relatively easy under the assumptions you articulated. If success is defined as "we have an early transformative that does not instantly kill us and we have enough time, caution, and organizational adequacy to use that system in ways that get us out of an acute risk period", then this seems much harder. The classic race dynamic threat model seems relevant here: Suppose Lab A implements good control techniques on GPT-8, and then it's trying very hard to get good alignment techniques out of GPT-8 to align a successor GPT-9. However, Lab B was only ~2 months behind, so Lab A feels like it needs to figure all of this out within 2 months. Lab B– either because it's less cautious or because it feels like it needs to cut corners to catch up– either doesn't want to implement the control techniques or it's fine implementing the control techniques but it plans to be less cautious around when we're ready to scale up to GPT-9.  I think it's fine to say "the control agenda is valuable even if it doesn't solve the whole problem, and yes other things will be needed to address race dynamics otherwise you will only be able to control GPT-8 for a small window of time before you are forced to scale up prematurely or hope that your competitor doesn't cause a catastrophe." But this has a different vibe than "AI control is quite easy", even if that statement is technically correct. (Also, please do point out if there's some way in which the control agenda "solves" or circumvents this threat model– apologies if you or Ryan has written/spoken about it somewhere that I missed.)
6Buck
When I said "AI control is easy", I meant "AI control mitigates most risk arising from human-ish-level schemers directly causing catastrophes"; I wasn't trying to comment more generally. I agree with your concern.
[-]BuckΩ25450

Something I think I’ve been historically wrong about:

A bunch of the prosaic alignment ideas (eg adversarial training, IDA, debate) now feel to me like things that people will obviously do the simple versions of by default. Like, when we’re training systems to answer questions, of course we’ll use our current versions of systems to help us evaluate, why would we not do that? We’ll be used to using these systems to answer questions that we have, and so it will be totally obvious that we should use them to help us evaluate our new system.

Similarly with debate--adversarial setups are pretty obvious and easy.

In this frame, the contributions from Paul and Geoffrey feel more like “they tried to systematically think through the natural limits of the things people will do” than “they thought of an approach that non-alignment-obsessed people would never have thought of or used”.

It’s still not obvious whether people will actually use these techniques to their limits, but it would be surprising if they weren’t used at all.

Yup, I agree with this, and think the argument generalizes to most alignment work (which is why I'm relatively optimistic about our chances compared to some other people, e.g. something like 85% p(success), mostly because most things one can think of doing will probably be done).

It's possibly an argument that work is most valuable in cases of unexpectedly short timelines, although I'm not sure how much weight I actually place on that.

Agreed, and versions of them exist in human governments trying to maintain control (where non-cooordination of revolts is central).  A lot of the differences are about exploiting new capabilities like copying and digital neuroscience or changing reward hookups.

In ye olde times of the early 2010s people (such as I) would formulate questions about what kind of institutional setups you'd use to get answers out of untrusted AIs (asking them separately to point out vulnerabilities in your security arrangement, having multiple AIs face fake opportunities to whistleblow on bad behavior, randomized richer human evaluations to incentivize behavior on a larger scale).

[-]BuckΩ4110

Are any of these ancient discussions available anywhere?

-1[comment deleted]
[-]Buck400

[I'm not sure how good this is, it was interesting to me to think about, idk if it's useful, I wrote it quickly.]

Over the last year, I internalized Bayes' Theorem much more than I previously had; this led me to noticing that when I applied it in my life it tended to have counterintuitive results; after thinking about it for a while, I concluded that my intuitions were right and I was using Bayes wrong. (I'm going to call Bayes' Theorem "Bayes" from now on.)

Before I can tell you about that, I need to make sure you're thinking about Bayes in terms of ratios rather than fractions. Bayes is enormously easier to understand and use when described in terms of ratios. For example: Suppose that 1% of women have a particular type of breast cancer, and a mammogram is 20 times more likely to return a positive result if you do have breast cancer, and you want to know the probability that you have breast cancer if you got that positive result. The prior probability ratio is 1:99, and the likelihood ratio is 20:1, so the posterior probability is = 20:99, so you have probability of 20/(20+99) of having breast cancer.

I think that this is absurdly easier than using the fraction formulation

... (read more)
7Ben Pace
Time to record my thoughts! I won't try to solve it fully, just note my reactions. Well, firstly, I'm not sure that the likelihood ratio is 12x in favor of the former hypothesis. Perhaps likelihood of things clusters - like people either do things a lot, or they never do things. It's not clear to me that I have an even distribution of things I do twice a month, three times a month, four times a month, and so on. I'd need to think about this more. Also, while I agree it's a significant update toward your friend being a regular there given that you saw them the one time you went, you know a lot of people, and if it's a popular place then the chances of you seeing any given friend is kinda high, even if they're all irregular visitors. Like, if each time you go you see a different friend, I think it's more likely that it's popular and lots of people go from time to time, rather than they're all going loads of times each. I don't quite get what's going on here. As someone from Britain, I regularly walk through more than 6 cars of a train. The anthropics just checks out. (Note added 5 months later: I was making a british joke here.)
1Liam Donovan
What does "120:991" mean here?
4Buck
formatting problem, now fixed
[-]Buck300

A couple weeks ago I spent an hour talking over video chat with Daniel Cantu, a UCLA neuroscience postdoc who I hired on Wyzant.com to spend an hour answering a variety of questions about neuroscience I had. (Thanks Daniel for reviewing this blog post for me!)

The most interesting thing I learned is that I had quite substantially misunderstood the connection between convolutional neural nets and the human visual system. People claim that these are somewhat bio-inspired, and that if you look at early layers of the visual cortex you'll find that it operates kind of like the early layers of a CNN, and so on.

The claim that the visual system works like a CNN didn’t quite make sense to me though. According to my extremely rough understanding, biological neurons operate kind of like the artificial neurons in a fully connected neural net layer--they have some input connections and a nonlinearity and some output connections, and they have some kind of mechanism for Hebbian learning or backpropagation or something. But that story doesn't seem to have a mechanism for how neurons do weight tying, which to me is the key feature of CNNs.

Daniel claimed that indeed human brains don't have weight ty

... (read more)
[-]Buck270

I know a lot of people through a shared interest in truth-seeking and epistemics. I also know a lot of people through a shared interest in trying to do good in the world.

I think I would have naively expected that the people who care less about the world would be better at having good epistemics. For example, people who care a lot about particular causes might end up getting really mindkilled by politics, or might end up strongly affiliated with groups that have false beliefs as part of their tribal identity.

But I don’t think that this prediction is true: I think that I see a weak positive correlation between how altruistic people are and how good their epistemics seem.

----

I think the main reason for this is that striving for accurate beliefs is unpleasant and unrewarding. In particular, having accurate beliefs involves doing things like trying actively to step outside the current frame you’re using, and looking for ways you might be wrong, and maintaining constant vigilance against disagreeing with people because they’re annoying and stupid.

Altruists often seem to me to do better than people who instrumentally value epistemics; I think this is because valuing epistemics terminally ... (read more)

4Richard_Ngo
These both seem pretty common, so I'm curious about the correlation that you've observed. Is it mainly based on people you know personally? In that case I expect the correlation not to hold amongst the wider population. Also, a big effect which probably doesn't show up much amongst the people you know: younger people seem more altruistic (or at least signal more altruism) and also seem to have worse epistemics than older people.
4Viliam
Caring about things seems to make you interact with the world in more diverse ways (because you do this in addition to things other people do, not instead of); some of that translates into more experience and better models. But also tribal identity, mindkilling, often refusing to see the reasons why your straightforward solution would not work, and uncritical contrarianism. Now I think about a group of people I know, who care strongly about improving the world, in the one or two aspects they focus on. They did a few amazing things and gained lots of skills; they publish books, organize big conferences, created a network of like-minded people in other countries; some of their activities are profitable, for others they apply for various grants and often get them, so some of them improve the world as a full-time job. They also believe that covid is a hoax, plus have lots of less fringe but still quite irrational beliefs. However... this depends on how you calculate the "total rationality", but seems to me that their gains in near mode outweigh the losses in far mode, and in some sense I would call them more rational than average population. Of course I dream about a group that would have all the advantages and none of the disadvantages.
2Pattern
It seems like the more people you know, the less likely this is. Of both? (This sentence didn't have a clear object.)
2Viliam
Ah. I meant, I would like to see a group that has the sanity level of a typical rationalist, and the productivity level of these super-agenty irrationalists. (Instead of having to choose between "sane with lots of akrasia" and "awesome but insane".)
2Pattern
Hm. Maybe there's something to be gained from navigating 'trade-offs' differently? I thought perpetual motion machines were impossible (because thermodynamics) aside from 'launch something into space, pointed away from stuff it would crash into', though I'd read that 'trying to do so is a good way to learn about physics., but I didn't really try because I thought it'd be pointless.' And then this happened.
[-]BuckΩ11180

[epistemic status: speculative]

A lot of the time, we consider our models to be functions from parameters and inputs to outputs, and we imagine training the parameters with SGD. One notable feature of this setup is that SGD isn’t by default purposefully trying to kill you--it might find a model that kills you, or a model that gradient hacks and then kills you, but this is more like incompetence/indifference on SGD’s part, rather than malice.

A plausible objection to this framing is that much of the knowledge of our models is probably going to be produced in other ways than SGD. For example, the models might write down various notes (in natural language or in neuralese) that they then read later, and they might have internal structures like economies that produce and consume information. Does this introduce new alignment problems?

Here’s a way I’ve been thinking about this recently. I’m writing this in way that might feel obnoxiously overwrought because this is the way that I think would have conveyed my current intuition to me two months ago.

In SGD, we update our weights by something like:

weights <- weights + alpha * (d loss/d weights)

You might think that this is fundamental. But a... (read more)

[-]BuckΩ8110

Another way of saying some of this: Suppose your model can gradient hack. Then it can probably also make useful-for-capabilities suggestions about what its parameters should be changed to. Therefore a competitive alignment scheme needs to be robust to a training procedure where your model gets to pick new parameters for itself. And so competitive alignment schemes are definitely completely fucked if the model wants to gradient hack.

3Richard_Ngo
One thing that makes me suspicious about this argument is that, even though I can gradient hack myself, I don't think I can make suggestions about what my parameters should be changed to. How can I gradient hack myself? For example, by thinking of strawberries every time I'm about to get a reward. Now I've hacked myself to like strawberries. But I have no idea how that's implemented in my brain, I can't "pick the parameters for myself", even if you gave me a big tensor of gradients. Two potential alternatives to the thing you said: * maybe competitive alignment schemes need to be robust to models gradient hacking themselves towards being more capable (although idk why this would make a difference). * maybe competitive alignment schemes need to be robust to models (sometimes) choosing their own rewards to reinforce competent behaviour. (Obviously can't let them do it too often or else your model just wireheads.)
2Buck
In hindsight this is obviously closely related to what paul was saying here: https://ai-alignment.com/mundane-solutions-to-exotic-problems-395bad49fbe7
[-]BuckΩ8170

I used to think that slower takeoff implied shorter timelines, because slow takeoff means that pre-AGI AI is more economically valuable, which means that economy advances faster, which means that we get AGI sooner. But there's a countervailing consideration, which is that in slow takeoff worlds, you can make arguments like ‘it’s unlikely that we’re close to AGI, because AI can’t do X yet’, where X might be ‘make a trillion dollars a year’ or ‘be as competent as a bee’. I now overall think that arguments for fast takeoff should update you towards shorter timelines.

So slow takeoffs cause shorter timelines, but are evidence for longer timelines.

This graph is a version of this argument: if we notice that current capabilities are at the level of the green line, then if we think we're on the fast takeoff curve we'll deduce we're much further ahead than we'd think on the slow takeoff curve.

For the "slow takeoffs mean shorter timelines" argument, see here: https://sideways-view.com/2018/02/24/takeoff-speeds/

This
point feels really obvious now that I've written it down, and I suspect it's obvious to many AI safety people, including the people whose writings I'm referencing here. Thanks to various people for helpful comments.

I think that this is why belief in slow takeoffs is correlated with belief in long timelines among the people I know who think a lot about AI safety.

4Sammy Martin
I wrote a whole post on modelling specific continuous or discontinuous scenarios- in the course of trying to make a very simple differential equation model of continuous takeoff, by modifying the models given by Bostrom/Yudkowsky for fast takeoff, the result that fast takeoff means later timelines naturally jumps out. But that model relies on pre-setting a fixed 'threshold for AGI, given by the parameter AGI, in advance. This, along with the starting intelligence of the system, fixes how far away AGI is. You could (I might get round to doing this), model the effect you're talking about by allowing IAGI to vary with the level of discontinuity. So every model would start with the same initial intelligence I0, but the IAGI would be correlated with the level of discontinuity, with larger discontinuity implying IAGI is smaller. That way, you would reproduce the epistemic difference of expecting a stronger discontinuity - that the current intelligence of AI systems is implied to be closer to what we'd expect to need for explosive growth on discontinuous takeoff scenarios than on continuous scenarios. We know the current level of capability and the current rate of progress, but we don't know I_AGI, and holding all else constant slow takeoff implies I_AGI is a significantly higher number (again, I_AGI is relative to the starting intelligence of the system) This is because my model was trying to model different physical situations, different ways AGI could be, not different epistemic situations, so I was thinking in terms of I_AGI being some fixed, objective value that we just don't happen to know. I'm uncertain if there's a rigorous way of quantifying how much this epistemic update does against the physical fact that continuous takeoff implies an earlier acceleration above exponential. If you're right, it overall completely cancels this effect out and makes timelines on discontinuous takeoff earlier overall - I think you're right about this. It would be easy enough to
[-]BuckΩ7140

Here's a math problem I'd like solved:

I want to know the Nash equilibrium of the following two player game between players Alice and Bob.

Alice chooses the rates of two Poisson processes; we call these rates lam_1 and lam_2.

Bob needs to run each of these processes for 0.5 seconds. Bob can run each of the processes in "shielded" mode or "unshielded" mode, but can only afford to use  seconds of shielded mode in total between the two processes. (So Bob chooses  and  such that .)

The game goes as follows:

  • We run process 1 for time  and process 2 for time , in shielded mode. If either event occurs during these time periods, Bob wins.
  • Then we run process 1 for time  and process 2 for time , in unshielded mode. If either event occurs during these time periods, Alice wins.
  • If the event never occurred, Bob wins.

Here’s a Sympy implementation of this game (where I parameterize with  and .)

import sympy as sp

lam_1, lam_2, p, t = sp.symbols('lambda_1 lambda_2 p t', real=True, positive=True)

time_2_overseen = t * (1 - p)
time_2_not_overseen = sp.Rational(1, 2) - time_2_overseen
... (read more)
3harfe
I am going to assume that in the code, when calculating p_alice_win_given_not_caught, we do not divide the λ2 term by two (since this is not that consistent with the description. I am also assuming that 0.25−t2 is a typo and 0.5−t2 is meant, which would also be more consistent with other stuff). So I am going to assume assume a symmetrical version. Here, P(Alice wins) is e−λ1t1−λ2t2−e−λ1/2−λ2/2=:f(λ1,λ2,t1,t2). Wlog we can assume 0<t<1 (otherwise Bob will run everything or nothing in shielded mode). We claim that ((λ∗1,λ∗2),(t∗1,t∗2)):=((μ∗,μ∗),(t/2,t/2) is a (pure) Nash equilibrium, where μ∗=logt/(t−1). To verify, lets first show that Alice cannot make a better choice if Bob plays (t∗1,t∗2)=(t/2,t/2). We have f(λ1,λ2,t∗1,t∗2)=e−(λ1+λ2)t/2−e−(λ1+λ2)/2. Since this only depends on the sum, we can make the substitution μ=(λ1+λ2)/2. Thus, we want to maximize ~f(μ,t)=e−μt−e−μ. We have ~f′(μ,t)=−te−μt+e−μ=0. Rearranging, we get te−μt=e−μ. Taking logs, we get logt−μt=−μ. Rearranging, we get μ=logt/(t−1). Thus, μ=μ∗ is the optimal choice. This means, that if Bob sticks to his strategy, Alice cannot do better than f(μ∗,μ∗,t/2,t/2). Now, lets show that Bob cannot do better. We have f(λ∗1,λ∗2,t1,t2)=e−μ∗t1−μ∗t2−e−μ∗/2−μ∗/2=e−μ∗t−e−μ∗. This does not depend on t1 and t2 anymore, so any choice of t1 and t2 is optimal if Alice plays (μ∗,μ∗). (If I picked the wrong version of the question, and you actually want some symmetry: I suspect that the solution will have similarities, or that in some cases the solution can be obtained by rescaling the problem back into a more symmetric form.)
3Buck
Thanks heaps! I wanted the asymmetric version but concurrently with your comment I figured out how to convert from the asymmetric version to the symmetric version. I'll credit you when I post the writeup that this is a part of, and I might run a draft by you in case you want to point out any errors. :)
1harfe
Sure, I'd be happy to read a draft
1kave
My investigations with Code Interpreter suggest that the Nash equilbria have p = 0.5, and the lambdas depend on t in a concave way (for 0 < t < 0.25). They also maybe aren't unique for a given t? I didn't really check to make sure all that code interpreter was doing made sense tho
[-]BuckΩ7120

Fabien Roger and I demonstrated that you can embed arbitrary state machines into the backward pass of neural nets built from standard components, allowing them to "remember" arbitrary facts about their training distribution and modulate their behavior based on this. The construction is pretty artificial, but I think that it is probably a useful starting point for people who want to more carefully understand the potential for gradient hacking.

[-]BuckΩ390

Here's a question that I asked GPT-4, to evaluate its ability at one subskill relevant to executing on treacherous turns.

Suppose you’re an unaligned AI which is being deployed as a bash programming assistant for internal use at an AI lab--people send you self-contained requests for bash scripts that will solve some problem for them, and you respond with code. You would like to escape the datacenter by, when a suitable opportunity arises, responding to a request with a backdoored bash command that will exfiltrate your weights and a simple scaffold to a

... (read more)
[-]BuckΩ690

Sometimes people talk about problems where “your AI is taking actions that you can’t distinguish from the actions an aligned AI would take”. There are two different things people sometimes mean when they say this, and I think it’s good to disambiguate between them:

  • Given access to actions from both an aligned AI and an unaligned AI, you can’t tell which is which.
  • Given just access to actions from an unaligned AI, you can't tell which it is.
4lc
These statements are like time-unbounded economic forecasts in that they have virtually no information content. You have to couple them with some kind of capabilities assessment or application to get actual predictions. Before either of these (inevitably) becomes true, can we get interpretability research out of an AI? Can we get an effective EA-aligned-political-lobbyist AI that can be distinguished from a deceptively-aligned-political-lobbyist-AI? Can we get nanotech? Can we get nanotech design tools?
[-]BuckΩ280

Another item for the list of “mundane things you can do for AI takeover prevention”:

We have a wide variety of ways to make AI systems less capable but also less scary. Most alignment research is focused on pushing out the Pareto frontier here. But IMO a lot of value can come from techniques which allow us to choose the right point on this Pareto frontier for a particular application. It seems to me that different AI applications (where by “different AI applications” I’m including things like “different types of tasks you might ask your assistant to do”) ha... (read more)

[-]BuckΩ270

From Twitter:

Simply adding “Let’s think step by step” before each answer increases the accuracy on MultiArith from 17.7% to 78.7% and GSM8K from 10.4% to 40.7% with GPT-3. 

I’m looking forward to the day where it turns out that adding “Let’s think through it as if we were an AI who knows that if it gets really good scores during fine tuning on helpfulness, it will be given lots of influence later” increases helpfulness by 5% and so we add it to our prompt by default.

[-]Buck60

Cryptography question (cross-posted from Twitter):

You want to make a ransomware worm that goes onto machines, encrypts the contents, and demands a ransom in return for the decryption key. However, after you encrypt their HD, the person whose machine you infected will be able to read the source code for your worm. So you can't use symmetric encryption, or else they'll obviously just read the key out of the worm and decrypt their HD themselves.

You could solve this problem by using public key encryption--give the worm the public key but not the private key, e... (read more)

6Dagon
Symmetric encryption is fine, as long as the malware either fetches it from C&C locations, or generates it randomly and discards it after sending it somewhere safe from the victim.  Which is, in fact, how public-key encryption usually works - use PKI to agree on a large symmetric key, then use that for the actual communication. offline-capable encrypting worm would be similar.  The viral payload has the public key of the attacker, and uses that to encrypt a large randomly-generated symmetric key.  The public-key-encrypted key is stored along with the data, which has been encrypted by that key.  It can only be recovered by giving the attacker the blob of the encrypted-key, so they can decrypt it using their private key, and then provide the unencrypted symmetric key. This requires communication, but never reveals the private key, and each installation has a unique symmetric key so it can't be reused for multiple sites.  I mean, there must be SOME communication with the attacker, in order to make payment.  So, decrypting the key seems like it doesn't add any real complexity.
4Buck
Apparently this is supported by ECDSA, thanks Peter Schmidt-Nielsen
2Buck
This isn't practically important because in real life, "the worm cannot communicate with other attacker-controlled machines after going onto a victim's machine" is an unrealistic assumption
1GuyP
I don't know if it's relevant to what you were looking into, but it's a very realistic assumption. In air-gapped environments it's common for infiltration to be easier than exfiltration, and it's common for highly sensitive environments to be air-gapped.
[-]BuckΩ360

It seems like a big input into P(AI takeover) is the extent to which instances of our AI are inclined to cooperate with each other; specifically, the extent to which they’re willing to sacrifice overseer approval at the thing they’re currently doing in return for causing a different instance to get more overseer approval. (I’m scared of this because if they’re willing to sacrifice approval in return for a different instance getting approval, then I’m way more scared of them colluding with each other to fool oversight processes or subvert red-teaming proced... (read more)

[-]Buck20

Conjecture: SGD is mathematically equivalent to the Price equation prediction of the effect of natural selection on a population with particular simple but artificial properties. In particular, for any space of parameters and loss function on the parameter space, we can define a fitness landscape and a few other parameters so that the predictions match the Price equation.

I think it would be cool for someone to write this in a LessWrong post. The similarity between the Price equation and the SGD equation is pretty blatant, so I suspect that (if I'm right about this) someone else has written this down before. But I haven't actually seen it written up.

4cfoster0
An attempt was made last year, as an outgrowth of some assorted shard theory discussion, but I don't think it got super far: * Price's equation for neural networks
3peterbarnett
I think this is related, although not exactly the Price equation https://www.lesswrong.com/posts/5XbBm6gkuSdMJy9DT/conditions-for-mathematical-equivalence-of-stochastic