Learn to Relax with Large Language Models: Solving Constraint Optimization Problems via Bidirectional Coevolution

📰 ArXiv cs.AI

AutoCO uses Large Language Models and bidirectional coevolution to solve complex Constraint Optimization Problems

advanced Published 6 Apr 2026
Action Steps
  1. Formulate the Constraint Optimization Problem (COP) to be solved
  2. Implement the AutoCO method, which couples operations-research principles with Large Language Model (LLM) capabilities
  3. Utilize bidirectional coevolution to enable the LLM to proactively design strategies
  4. Evaluate and refine the solution generated by AutoCO
Who Needs to Know This

Researchers and engineers working on optimization problems and AI can benefit from this approach as it enables Large Language Models to proactively design strategies, rather than just passively checking constraints

Key Insight

💡 Large Language Models can be used as proactive strategy designers, rather than just passive constraint checkers, to solve complex optimization problems

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💡 AutoCO: solving complex COPs with LLMs and bidirectional coevolution
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