EmbeddingGemma 2: an open, lightweight multimodal embedding model
deepmind.google·6d ago
AI Engineering
Hacker News·6d ago·5 min read
Mathematical manuscripts and supporting proof artifacts produced by OpenAI
TL;DR
OpenAI has developed a repository of 722 mathematical manuscripts and proof artifacts, organized into 372 families, to evaluate their models on open research problems. This collection aims to enhance mathematical understanding and verification processes.
✦ Why It Matters
Explore the repository to leverage OpenAI's mathematical insights for your own research or projects.
Key Takeaways
- Review the manuscript map for related papers and materials.
- Utilize the preprints directory for source files and citation instructions.
- Check the Lean library for available formal proofs and verification configurations.
- Stay updated on new versions and corrections in the repository.
Full Summary
OpenAI's repository features 722 mathematical manuscripts produced by an internal model, organized into 372 families based on related results. These manuscripts are part of ongoing evaluations of open research problems, expanding upon previous model outputs.
The majority of results were generated using an unreleased internal model, with each result requiring an average of three hours of computation. The collection includes various stages of verification, with some results lacking formal proofs in Lean, a proof assistant.
Notably, exceptions include significant work on the Riemann zeta function and the Hodge Conjecture. OpenAI plans to continuously update the repository with formalizations and corrections, ensuring transparency in the release history.