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In a three-phase circuit, line loss is an indicator of energy dissipated as heat due to the resistance of transmission lines. To address this, incorporating transformers into the system—a step-up transformer at the source and a step-down transformer at the load—is a strategic solution. Two three-phase transformers are introduced to improve this.
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Cautious Bayesian Optimization: A Line Tracker Case Study.

Vicent Girbés-Juan1, Joaquín Moll2, Antonio Sala2

  • 1Departament d'Enginyeria Electrònica (DIE), Universitat de València, 46100 Burjassot, Spain.

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This study introduces constraint-aware Bayesian Optimization for safe experimental tuning. It models performance and safety using Gaussian processes, enabling reliable optimization even with model inaccuracies.

Keywords:
Bayesian optimizationGaussian processeschance-constrained optimizationexperimental optimizationsafety constraints

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Area of Science:

  • Robotics and Control Systems
  • Machine Learning and Artificial Intelligence
  • Optimization Theory

Background:

  • Experimental optimization often faces safety limitations.
  • Traditional methods struggle with uncertainty and real-world constraints.
  • Integrating safety into optimization is crucial for reliable system development.

Purpose of the Study:

  • To present a novel procedure for experimental optimization under safety constraints.
  • To enable safe fine-tuning of performance objectives despite experiment-model mismatch.
  • To develop a robust optimization framework for complex systems.

Main Methods:

  • Modeled performance and constraint functions using Gaussian processes.
  • Incorporated transfer learning for prior mean modeling.
  • Utilized a semi-parametric Kernel and chance-constrained acquisition function optimization.
  • Developed a constraint-aware Bayesian Optimization (CABO) approach.

Main Results:

  • Demonstrated safe experimental optimization through a case study.
  • Successfully applied the methodology to a line-follower robot in CoppeliaSim.
  • Validated the effectiveness of Gaussian process modeling for constraints.
  • Showcased the ability to handle experiment-model mismatch safely.

Conclusions:

  • Constraint-aware Bayesian Optimization provides a safe and effective method for experimental tuning.
  • The proposed approach enhances reliability in optimizing systems with safety requirements.
  • Gaussian processes and transfer learning are valuable tools for constrained optimization.