CodeCoR improves LLM code generation by having four agents generate, test, prune, and repair candidate solutions, reporting a 77.8% average Pass@1 on four Python benchmarks.
From Symplectic to Poisson. A Study of Reduction and a Proposal Towards Implosion
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The imploded cross-section of a symplectic manifold is a stratified space allowing for an abelianization of its symplectic reduction. After recalling symplectic and Poisson reduction and reviewing the basics of symplectic implosion, we prove a cross-section theorem for Poisson manifolds, generalizing the Guillemin-Sternberg theorem for symplectic manifolds, which constitutes a first step towards Poisson implosion. On our way, we find and fix a mistake in the proof of Guillemin-Sternberg's theorem, and we identify Poisson transversals as the right analogue to symplectic submanifolds in this context.
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CodeCoR: An LLM-Based Self-Reflective Multi-Agent Framework for Code Generation
CodeCoR improves LLM code generation by having four agents generate, test, prune, and repair candidate solutions, reporting a 77.8% average Pass@1 on four Python benchmarks.