Large Language Models as Optimization Controllers: Adaptive Continuation for SIMP Topology Optimization

📰 ArXiv cs.AI

Large language models can be used as adaptive controllers for SIMP topology optimization, making real-time decisions based on current state

advanced Published 27 Mar 2026
Action Steps
  1. Use a large language model to receive structured observations at each iteration
  2. Output numerical parameters based on current state
  3. Replace conventional fixed-schedule continuation with real-time, state-conditioned parameter decisions
  4. Evaluate the performance of the LLM controller using metrics such as compliance and volume fraction
Who Needs to Know This

Researchers and engineers working on topology optimization and AI applications can benefit from this approach, as it enables more efficient and adaptive optimization processes

Key Insight

💡 Large language models can be used to make adaptive decisions in optimization problems, improving efficiency and performance

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💡 LLMs can control SIMP topology optimization in real-time!

Key Takeaways

Large language models can be used as adaptive controllers for SIMP topology optimization, making real-time decisions based on current state

Full Article

Title: Large Language Models as Optimization Controllers: Adaptive Continuation for SIMP Topology Optimization

Abstract:
arXiv:2603.25099v1 Announce Type: cross Abstract: We present a framework in which a large language model (LLM) acts as an online adaptive controller for SIMP topology optimization, replacing conventional fixed-schedule continuation with real-time, state-conditioned parameter decisions. At every $k$-th iteration, the LLM receives a structured observation$-$current compliance, grayness index, stagnation counter, checkerboard measure, volume fraction, and budget consumption$-$and outputs numerical
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