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Comment Seems like variant of a known problem (Score 1) 49

This seems like essentially a variant of the Waluigi effect hypothesized here https://www.lesswrong.com/posts/D7PumeYTDPfBTp3i7/the-waluigi-effect-mega-post which had the advantage of a pretty fun name for the situation, and is worth reading. . There's also some related prior work by Ball, Gluch, Goldwasser, Kreuter, Reingold, and Rothblum https://arxiv.org/abs/2507.07341 which suggested that fundamental information issues or computational complexity issues meant that making an LLM AI "safe" from jailbreaks by having a less computationally powerful/less intelligent AI system look over its input would always fail, since one could construct inputs that would be complicated tasks or essentially hidden puzzles that the less powerful AI would fail at but would expand out by the more powerful AI into instructions/jailbreaks. Ball et. al's work is also discussed in detail in this Quanta piece https://www.quantamagazine.org/cryptographers-show-that-ai-protections-will-always-have-holes-20251210/ There's also some similar work by Rao, Choudhury, and Aditya https://arxiv.org/abs/2406.12702 which I haven't read in detail but seems also thematically very similar.

Comment Re:Stupid story (Score 1) 66

It isn't "Gospel" but given the highly detailed timeline, and given that Hugging Face has said explicitly that after OpenAI cooperated with them they are confident that's what happened, it looks like the most likely hypothesis. Alternatives involve OpenAI hacking into multiple other companies in a highly illegal way for extremely unclear gains. And again, Hugging has more details than anyone else, and they are confident that that that happened.

Comment Re:Stupid story (Score 1) 66

Whether you call it thinking or merely prompting is besides the point. The AI was "prompted" if you prefer to accomplish a specific task, performing well on a benchmark. It then responded by escaping a sandbox and hacking Hugging Face. Whether you label it as thinking or merely responding to a prompt, it should still be alarming, in that highly unexpected and genuinely dangerous behavior can occur simply due to being prompted to accomplish a goal. This is exactly the point that people like Yudkowsky and Bostrom were making years ago before any of the LLMs, and people dismissed it as groundless, and said that AIs would not do things like that. Turns out, empirically, they do.

Comment Re:Shit journal - open-access - money grab (Score 1) 84

There are legitimate reasons to criticize this piece. It isn't completely clear whether their 89 data points is a representative sample, and if slightly increasing the inclusion criteria or slightly decreasing them would make this go away. And it isn't completely clear if one should expect something similar to show up in essentially random data simply because two major disasters right next to each other will get treated very likely as a single disaster. There are some other criticisms as well. But being an open-access journal where people pay should not be one of them. This is very common in a variety of STEM fields. I'm lucky enough to be in math where many or most of our open access journals don't have any publication fees, but that's not true in many other fields, and it shouldn't be a reason by itself to discount an article.

Comment Re:"Clean Energy" (Score 3, Interesting) 86

This isn't US specific. South Korea and France have had a lot of successful use of nuclear power. And if you look at different types of power and the negative externalities they produce, nuclear power is very low. See https://janrosenow.substack.com/p/the-bill-we-never-see for a good run down of the different power types and their actual costs.

Comment Re:A bit more about Kakeya (Score 5, Informative) 24

I think I can explain this. I'm not sure how well, I'll do but I can try.

For "nice" objects, we all have an intuition about how many dimensions the object is, which is roughly how many variables it takes to specify a given location on the object. For example, on a line embedded in your standard Cartesian two dimensions, say y=3x+2, you can just tell someone the x coordinate and they know exactly where they are. This works in general, so typical 3 dimensional space needs 3 coordinates. Etc. Similar, a circle (even though it lives in 2 dimensions) just needs 1 variable to tell someone where you are on it because you can take an angle from the center.

However, lots of objects turn out to have a notion of dimension that doesn't quite match up this way. This is roughly what people mean when they call something a "fractal" (although some people use fractal more to mean a thing deifned by a recursive procedure. Defining it precisely is tough.) Now, to talk about objects that are fractals, like say the Koch snowflake https://en.wikipedia.org/wiki/Koch_snowflake we want a notion of dimension that makes sense for them. Ideally, for a given object we want a notion of "dimension" which gives the correct value of dimension when we apply it to an object that is a traditional object with a known dimension, like a line, or sphere or ball. The Minkowski dimension is one such approach. It is easiest to explain in 2 dimensions, but the same basic idea looks in any number of dimensions. Roughly speaking, you take the object you want, and you pick some tiny number epsilon, and then you make a grid on the plane of little boxes each which are epsilon by epsilon, and then you ask how many tiny boxes does it take to cover the object? Then, you take that number and divide it by log (epsilon), and then you let epsilon go to zero. This essentially measures how pointy thick the object is. If the object is thick this will just be two. If it is just a few isolated points (even infinitely many but not a lot) this will be zero. It isn't obvious that this is the right thing to count but turns out to work pretty well. You then generalize this to any number of dimensions for your space your object lives in by using boxes of the corresponding dimension number. So, for a fractal which lives on the real line, you use intervals of length epsilon, in 3 dimensions you use cubes of side length epsilon and so on.

Now, the Minkowski dimension is not the only notion of dimension we have that works this way. There's a related idea called the Hausdorff dimension which is defined in a more complicated fashion but turns out to often be easier to calculate. For example, it is not too hard to show that the Hausdorff dimension of the Koch snowflake is (ln 4)/(ln 3) which is about 1.26. (This reflects the intuition one might have that the Koch snowflake is much closer to being a thing made of lines than it is to being a thing with normal area). Now, it turns out that the Minkowski is always at least as large as the Hausdorff dimension, and they are equal in many situations. But there are some annoyingly simple situations where they are not. For example, if you take the interval of points between 0 and 1 and just take the rational points, then it has has Hausdorff dimension zero and Minkowski dimension one, which is about as far as you could want. Sometimes we'll calculate Haussdorff dimension for an object but really care about the Minkowski dimension, where finding that takes more work.

In the case of Hong Wang's work. She and Zahl proved that if you had what is called a Kakeya set in 3 dimensions (where you want a set that can fit a needle in every direction but you don't care about rotating it around, you just want a needle to fit at any orientation you choose), is that the Haussdorf dimension of the set, and the Minkowski dimension have to be equal and in fact equal to 3. But note that this isn't obvious in part because one doesn't have the rotation requirement here.

Does that help/make sense?

Comment A bit more about Kakeya (Score 5, Informative) 24

A bit more about the history of the Kakeya problem, which Hong Wang worked on. It comes from originally a more concrete question, namely how small an area do you need to rotate a 1 unit long needle 360 degrees if it is allowed to also move around as you rotate it? The naive thing is to use a circle, but you can also do a bit better by using a triangle, and then rotating it a little bit at the corner, moving the needle to the next corner, and then continuing the rotation. But you can do a bit better than this by cutting out small regions from the sides of the triangle. You instead use a deltoid https://en.wikipedia.org/wiki/Deltoid_curve. Kakeya asked if this was the best possible construction But Beiscovitch made a very clever construction to show that there is no minimal area. That is, for any epsilson>0, you can make a region of area less than epsilon where you can rotate the need. https://en.wikipedia.org/wiki/Kakeya_set#Besicovitch_needle_sets . Thinking about these ideas in abstract settings and higher dimensions lead to what was called the Kakeya conjecture, even though it post-dated Kakeya's own work. Hong Wang Joshua Zahl (not me, different mathematician with the same first name and last initial) proved that conjecture.

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