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Arxiv
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PDE-Controller: LLMs for Autoformalization and Reasoning of PDEs
- PDE-Controller is a framework that enables large language models (LLMs) to control systems governed by partial differential equations (PDEs).
- The framework transforms informal natural language instructions into formal specifications, executes reasoning, and improves PDE control utility.
- PDE-Controller includes datasets, math-reasoning models, and evaluation metrics, requiring significant effort for development.
- The framework outperforms open source and GPT models in reasoning, autoformalization, and program synthesis, achieving up to a 62% improvement in utility gain for PDE control.
- By combining language generation with PDE systems, PDE-Controller shows the potential of LLMs in addressing scientific and engineering challenges.
- All data, model checkpoints, and code related to PDE-Controller are available at https://pde-controller.github.io/.
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