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Model predictive complex system control from observational and interventional data.

Muyun Mou1,2, Yu Guo3, Fanming Luo2

  • 1School of Systems Science, Beijing Normal University, Beijing 100875, China.

Chaos (Woodbury, N.Y.)
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Summary
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We developed a new framework for controlling complex systems with limited interventions. This method uses observational data for pre-training and model predictive control for fine-tuning, reducing costs and improving generalization.

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Area of Science:

  • Complex Systems Science
  • Control Theory
  • Machine Learning

Background:

  • Complex systems exhibit emergent behaviors, making data-driven modeling and control crucial.
  • Traditional control methods struggle with high intervention costs and limited intervention data.
  • Abundant observational data is often available, but direct intervention is expensive.

Purpose of the Study:

  • To develop a novel framework for controlling complex systems with minimal online interventions.
  • To address challenges in high-dimensional state-action spaces within complex systems.
  • To leverage abundant observational data for effective system control.

Main Methods:

  • Introduced a two-stage model predictive complex system control framework.
  • Employed offline pre-training using observational data to model system dynamics.
  • Utilized online fine-tuning with a variant of model predictive control for interventions.
  • Developed action-extended graph neural networks to model the Markov decision process.
  • Designed a hierarchical action space for efficient learning of intervention strategies.

Main Results:

  • The proposed framework demonstrated strong performance in Boids, Kuramoto, and SIS metapopulation environments.
  • Achieved accelerated convergence and robust generalization capabilities.
  • Significantly reduced intervention costs compared to baseline algorithms.
  • Effectively handled high-dimensional state-action spaces in complex systems.

Conclusions:

  • The two-stage framework offers an effective solution for controlling complex systems with limited intervention data.
  • Action-extended graph neural networks and hierarchical action spaces are key innovations for this problem.
  • This approach holds promise for real-world applications requiring efficient complex system control.