Latent Space AI

AI Explores Math's Latent Space

Jan 15, 2026
AI is reshaping mathematics by exploring its 'latent space' and uncovering new connections. It’s redesigning legacy methods like matrix multiplication for greater efficiency. Models like GPT-5 Pro tackle complex math problems swiftly and effectively. The discussion highlights how AI collaborates with human mathematicians, surfacing insights from past research. Additionally, AI can rigorously pursue overlooked questions and enhance the verification of mathematical proofs, accelerating research progress in the field.
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ANECDOTE

AI Rewrote Matrix Multiplication

  • Jaeden Schafer recounts Mo Gaultier's keynote about AI redesigning matrix multiplication for big gains.
  • The AI-driven tweak delivered a 26% performance boost and saved Google hundreds of millions in cost and energy.
INSIGHT

AI Solves Challenging Math Problems

  • Modern AI models are solving high-level math problems and adapting known math ideas to new proofs.
  • GPT-5 Pro and other systems have solved presentation and competition problems previously out of reach.
ANECDOTE

ChatGPT Solved An Unsolved Problem

  • Jaeden describes Neil Somani pasting an unsolved problem into ChatGPT and finding a correct solution after 15 minutes.
  • Somani validated the output with Harmonic and found the model's chain-of-thought drew on multiple known results and posts.
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