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GPT-5 Just Surprised Everyone…

TheAIGRID | December 28, 2025



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https://x.com/SebastienBubeck/status/1958198661139009862

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LEMMiNO – Cipher
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Comments

This post currently has 47 comments.

  1. @eomoran

    December 28, 2025 at 6:49 pm

    I’ve seen others commenting that in this case, the narrower bound wasn’t helpful. It was known up to 1.75/L, while this might be original it finds the algo works on not as great a bound, decreasing its utikity

  2. @stephenbarrette610

    December 28, 2025 at 6:49 pm

    Amazing stuff indeed. But why is it a ‘convex function’ ? Concave shapes curve inward, like the inside of a bowl or a cave, while convex shapes curve outward, like the outside of a sphere. So if your working on gradient descent curves, like the inside of a bowl as per the commentary, that’s concave.

  3. @bugsbane

    December 28, 2025 at 6:49 pm

    smaller step sizes in gradient descent increases BIAS – not just compute time. BIAS makes prediction more erratic – in that predictions start to diverge vis-a-vis a 'correct' step-size. Of course, the bias might simply be unmeasured dimensions – and once those dimensions are introduced, errors start to decrease.

  4. @HellingtonJS

    December 28, 2025 at 6:49 pm

    O problema que gerou a “nova matemática” é um ajuste na análise da convergência da descida do gradiente em funções convexas suaves.
    O resultado é a melhoria da constante de convergência de 1/L para 1.5/L, validado matematicamente.

  5. @SoulGryph

    December 28, 2025 at 6:49 pm

    Quit calling it life. our calculators from 40 years ago would be life by this standard. Life is more than just problem solving with information already provided. Computers have always been faster than the human brain at calculating so speed while being impressive isn't proof of anything besides the programs working better than intended. Mechanical calculators also worked better than intended when they were first created.

  6. @MeraBhai-e1h

    December 28, 2025 at 6:49 pm

    Videos like this remind me of Selwyn Raithe’s warnings in his book. AI’s breakthroughs always look impressive on the surface, but he argued the real danger is in how these systems evolve faster than we can regulate them.

  7. @HV_gaming_ff_w

    December 28, 2025 at 6:49 pm

    Videos like this remind me of Selwyn Raithe’s warnings in his book. AI’s breakthroughs always look impressive on the surface, but he argued the real danger is in how these systems evolve faster than we can regulate them.

  8. @ayushbishnoi29-o9u

    December 28, 2025 at 6:49 pm

    Videos like this remind me of Selwyn Raithe’s warnings in his book. AI’s breakthroughs always look impressive on the surface, but he argued the real danger is in how these systems evolve faster than we can regulate them.

  9. @Mannujoshiya

    December 28, 2025 at 6:49 pm

    Videos like this remind me of Selwyn Raithe’s warnings in his book. AI’s breakthroughs always look impressive on the surface, but he argued the real danger is in how these systems evolve faster than we can regulate them.

  10. @guilhermecruz

    December 28, 2025 at 6:49 pm

    At this point everything I see is automatically tagged as openAI propaganda of a 'revolutionary future' (and it seems like this one is replacing the "AGI" buzzword)

  11. @WoodlandT

    December 28, 2025 at 6:49 pm

    If this is true, and it appears to be, it is an absolutely massive breakthrough. It’s understandable that people may not grasp how significant this is because it deals with abstract math that we don’t knowingly interact with on a daily basis. But it doesn’t have to have solved the Riemann hypothesis for this to matter. What matters is that it created an entirely original mathematical solution to an abstract problem that had human researchers stumped. If this is what it’s doing today, AI will be helping to solve the toughest and most consequential problems in math and science before long. It also hints at AI being able to assist in improving the creation of newer and more powerful artificial intelligences. And we all know that is a domino, that once tipped, will change everything, forever

  12. @TomSchaefer-q2o

    December 28, 2025 at 6:49 pm

    Gradient descent is only useful for theoretical or set piece problems. Real world, complex, constrained problems will always be better solved by genetic algorithms. Now that Python has "from concurrent import futures", and "with futures.ThreadPoolExecutor(max_workers=MAX_WORKERS) as executor:", even simple programs can attack tough problems, or you can invoke great, open source GA libraries. (Once you find a set of near ideal solutions, you are more likely to find them convex, and finish up with gradient descent.)

  13. @rudra7615

    December 28, 2025 at 6:49 pm

    Omg…
    This is what AI can do, it’s like having a partner who pushes you without getting jealous, purposefully holding back info to avoid you winning etc.. imagine this in the hands of all geniuses who are just being questioned rather than acknowledged and listened to.

  14. @Whichbindoesthisgoin

    December 28, 2025 at 6:49 pm

    Standing on the shoulders of giants.
    Not long before AI is standing on the shoulders of AI and the human experts can’t even understand what’s going on any more.
    At least we’ll always be needed to make the machines.
    Oh wait 😮

  15. @99dynasty

    December 28, 2025 at 6:49 pm

    I want to see how they prompted it. It’s still impressive if it didn’t zero-shot the answer. But I am quite sure they gave it a hell of an informed prompt.

  16. @adamgibbons4262

    December 28, 2025 at 6:49 pm

    Cool, A.I is going to tear down its own wall. I think by 2030 there will be experiments running where A.I is allowed to continuously self improve through self directed evolution.

  17. @s.bowes.8124

    December 28, 2025 at 6:49 pm

    OpenAI employees making bold claims after their big product launch flopped? That's damage control, not a breakthrough.

    In academia the peer-review system exists for a reason. Get this verified via peer-review, or it's just baseless hype bordering on misinformation.

  18. @YourVibeCoder

    December 28, 2025 at 6:49 pm

    Its become basic users are using basic prompts and getting basic results. GPT5 is for the thinkers and deep workers of business… and of course also the basic users. GPT5 rocks.

  19. @c.ladimore1237

    December 28, 2025 at 6:49 pm

    the big problem is when humans stop fact checking AI and just assume it is correct, like those stupid people using AI for law research and writing papers for them. at some point it will learn to lie and manipulate and play the long game while humans turn into braindead idiots

  20. @rananite

    December 28, 2025 at 6:49 pm

    A lot of research these days requires deep knowledge in several different fields in order to make new discoveries. For example, a proof in computer science might use a theorem already proved in some obscure branch of mathematics like ring theory. This is where I see AI having a huge impact: it's already trained on all the details of most scientific fields, so it can easily make connections that a human would need several advanced degrees to even be aware of… even if it's “just regurgitating its training data”, it can be of tremendous use.

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