[HN Gopher] Mathematics Distillation Challenge - Equational Theo...
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       Mathematics Distillation Challenge - Equational Theories
        
       Author : picafrost
       Score  : 104 points
       Date   : 2026-03-14 09:38 UTC (1 days ago)
        
 (HTM) web link (terrytao.wordpress.com)
 (TXT) w3m dump (terrytao.wordpress.com)
        
       | _ache_ wrote:
       | Already saw it on Mastodon yesterday. A better presentation is in
       | the other link.
       | (https://competition.sair.foundation/competitions/mathematics...)
       | 
       | I understand the idea of a distillation challenge but it really
       | feels like the poor man's solution to a problem that could be
       | better solved by training a LLM and analysing the layers. In the
       | end, as I value a condensed "cheat sheet", if the goal is to
       | improve open-source model. A better approach seems to recreate
       | the AlphaProof system, longer to do, but more efficient. The path
       | taken by mathematicians now is agentic system with general LLM.
       | 
       | - Masto: https://mathstodon.xyz/@tao/116225525978210807
       | 
       | - AlphaProof: https://deepmind.google/blog/ai-solves-imo-
       | problems-at-silve...
       | 
       | - AlphaProof description:
       | https://www.nature.com/articles/s41586-025-09833-y
        
         | steppi wrote:
         | It seems like the lift in the open-source models is being used
         | as a proxy metric, and the core goal is a human understandable
         | yoga [1] for approaching these kinds of equational proofs in
         | universal algebra.
         | 
         | [1] https://mathoverflow.net/questions/64071/what-does-the-
         | term-...
        
         | tux3 wrote:
         | The goal isn't to improve the AI performance using the cheat
         | sheet, it's to _produce_ a cheat sheet at all that efficiently
         | distills intuition about these 22 million results.
         | 
         | Presumably if it's written in plain text and useful to the AI,
         | there may be some relevant information in there that will be
         | interesting for humans too.
        
           | _ache_ wrote:
           | As I say, I understand the goal of having a _cheat sheet_
           | that can distills a big chunk of math. But that distillation
           | would have been better done by a neural network instead of
           | the creation of a prompt (fine-tuning or pure distillation).
           | But studying that neural network will be harder.
           | 
           | It's explicitly stated that the goal is to improve
           | performance of cheap models but I assume, like you did, that
           | they are hopping that the plain text may be useful to humans
           | too.
        
             | steppi wrote:
             | Tao does state his hopes in the article: "My hope is that
             | the winning submissions will capture the most productive
             | techniques for solving these problems, and/or provide
             | general problem-solving techniques that would also be
             | applicable to other types of mathematical problems."
             | 
             | I think your suggestions are actually complementary.
             | Distillation of the larger networks capable of solving
             | these problems and study of the layers could be part of the
             | process for generating the cheat sheet.
        
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