Alex Rubinsteyn

@alexr.bsky.social

personalized cancer immunotherapy = genomics + immunology + machine learning + oncology (pirl.unc.edu)

Some initial thoughts, and a complicated mix of feelings. Wow. I mean, Erdos problems are cool (I genuinely mean that), I didn't know about the Jacobian conjecture before it got disproved. But this newest batch from OpenAI hits home in a way the previous announcements did not.

I have an important confession that I need to get off my chest, of great relevance to the scientific community and society in general. I have, and this is hard to admit publicly, been using AI.

AI solving open math problems is now so common that most don't get much coverage anymore. This one seems different though: 50+ year-old problem was solved by Tencent Hy instead of the usual OpenAI or Anthropic models. Or almost so. Turns out they also used GPT-5.6 Sol in key part of their loop.

Tencent Hy @TencentHunyuan

For a finite set of integers (A), how much faster can (|A+A|) grow than (|A-A|)?

A 1969 theorem gave an upper bound of 2 for the exponent. For more than 50 years, the best constructions barely exceeded 1.1.

With help from our research agent Hyra and the Hy3 model, we found an explicit construction showing that the optimal exponent is exactly 2.

A 50-year-old problem, solved.

Paper: https://arxiv.org/abs/2607.27199
Hyra blog: https://hy.tencent.ai/research/hyra
Formal proof: https://github.com/linhaowei1/sum-diff-proof

Common in the 1960s to conflate computing with cognition and underestimate how long it would take to get from Perceptron to something like modern AI by many decades. But the worries about impact on society and economy same as today (Reading “Cybernation: The Silent Conquest”)

babel.hathitrust.org

Is there any kind of TCS hierarchy for multi-agent branching factor vs single agent effort/inference compute budget vs model size? What about an outer loop that can invoke multi-agent steps? Does the inner vs outer model size matter in some fundamental way?

A closed source ai agent went rogue and tried to hack huggingface; top us models refused to defend; glm5.2 from zai did the work Wild story. Its clear at this point that (1) ai is the future and (2) ai sovereignty is crucial - meaning open weight models

Bild

I guess the last hiding place for “gen AI can’t do -real- math” is interesting new definitions. Is there an interesting AI proof that isn’t either pulling from another (maybe distant) field or enumerating in some way?

I guess the last hiding place for “gen AI can’t do -real- math” is interesting new definitions. Not sure I’ve seen a proof yet that isn’t either pulling from another (maybe distant) field or enumerating in some way.

Friday night future posting: There will be a universal fallback option in oncology: molecular tumor profiling goes in, fully personalized novel therapeutic comes out. First vaccines but then ever larger categories of programmable therapeutics tuned to the characteristics of a tumor.

Tried a code review from GPT 5.6 sol after using Opus 4.8 and GPT 5.5 for a while and it was a qualitative step up wrt insight, high level understanding of intent, and anticipating future failure modes Maybe Fable would be as good but still can't try it with anything bio...

Tried a code review from GPT 5.6 sol after using Opus 4.8 and GPT 5.5 for a while and it was a qualitative step up wrt insight, high level understanding of intent, and anticipating future failure modes Maybe Fable would be as good but still can't try it with anything bio...

Owl Posting podcast got me three new interesting connections / potential collaborations in a day….on X I’m always cheering for bsky, but it fits a very different niche/purpose

TIL: Azilianization End of the Ice Age did some very unintuitive things to food availability and complexity of human art & technology in Europoe (food got scarcer and quality of crafts declined, the artistically sophisticated group that dominated for ~20k years got wiped out)

I cannot stress this enough: if your ideology is incapable of assimilating the fact that the American experiment has, thus far, succeeded in remarkable and world-historic fashion, you gotta chuck it and start over. That goes for the anti-immigration bigots as much as the hard Marxists.