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Google DeepMind's FunSearch model cracks the unsolved cap set problem in pure mathematics, the first time an LLM has solved a long-standing scientific puzzle

MIT Technology Review Will Douglas Heaven

Discussion

  • @demishassabis Demis Hassabis on x
    Excited for our latest breakthrough published in @Nature today, #FunSearch ('searching' in ‘function’ space) is the first system to make new verifiable discoveries in open problems in math & CS, we applied it to find a more efficient solution to the classic ‘bin packing’ problem
  • @johnjnay John Nay on x
    Mathematical Discoveries w/ LLMs -Pairing LLM w/ a systematic evaluator -LLM creatively builds upon programs, generates new ones, which are automatically evaluated -Applied to a central combinatorics problem, discovers new constructions of large cap sets https://www.nature.com/..…
  • @barekatainamin Amin Barekatain on x
    ✨ So thrilled to share the work the team and I have been working on this year, which has been published in @Nature! #FunSearch (Search in the Function Space) 🔍 FunSearch has made the *first scientific discoveries* for established open problems using an LLM 🚀 What's more,...
  • @googledeepmind @googledeepmind on x
    Introducing FunSearch in @Nature: a method using large language models to search for new solutions in mathematics & computer science. 🔍 It pairs the creativity of an LLM with an automated evaluator to guard against hallucinations and incorrect ideas. 🧵 https://dpmd.ai/... [image]
  • @mfigurnov Michael Figurnov on x
    A super cool project from GDM's Science team! It's the ‘highest surprisal’ project for me in quite some time: I haven't thought LLMs + evolution could do such incredible stuff :) Huge congrats to the team.
  • @sashavnovikov Alexander Novikov on x
    Excited to share our @nature paper on #FunSearch (Search in Functional space)! tl;dr: we find new results in maths by evolving code with a pretrained (no finetuning involved) medium-size LLM acting as crossover/mutation operator https://deepmind.google/... https://storage.google…
  • @pengmingwang Pengming Wang on x
    AI won't “solve” math anytime soon, but no doubt human + AI will make many new discoveries
  • @alhusseinfawzi Alhussein Fawzi on x
    LLMs effectively compress the current state of human knowledge into a model. But can such models be used to go beyond the knowledge they were trained on, and discover new results on open problems? That's what we study in our paper appearing in @Nature. https://deepmind.google/...
  • @pushmeet Pushmeet Kohli on x
    Can LLMs uncover new knowledge - the scientific equivalent of AlphaGo's move 37? In a Nature paper today, we @GoogleDeepMind unveil that FunSearch, our new LLM based approach for program search, has uncovered new results in Maths and Computing. See details below.
  • @wtgowers @wtgowers on x
    Here's a great example of human-AI collaboration to obtain new results in mathematics. In this case, a team from DeepMind has used LLMs to obtain the best known lower bound for the cap-set problem. Of course, there's more to it than talking to ChatGPT. https://www.theguardian.com…
  • @matejbalog Matej Balog on x
    Can LLMs be used to discover something new? Yes! Happy to share our new paper in @Nature on #FunSearch, a system that uses LLMs for making new discoveries in mathematical sciences. Blog: https://deepmind.google/... Paper: https://storage.googleapis.com/ ... 1/n [image]
  • @ber24 Bernardino Romera on x
    Today in @Nature we present FunSearch: an LLM-powered system that has found new discoveries in an established mathematical problem. FunSearch is versatile too: it can be applied to impactful practical problems. Blogpost: https://deepmind.google/... Paper: https://storage.googleap…
  • @gfodor @gfodor on x
    If DeepMind just definitively proved neural networks can generate genuinely new knowledge then it's the most important discovery since fire. 😅 https://deepmind.google/...
  • @emollick Ethan Mollick on x
    A highly important open question about AIs has been whether they can actually discover new things. Today, a new Nature paper has shown that LLMs can! A model “discovered new solutions for the cap set problem, a longstanding open problem in mathematics” https://www.nature.com/... …