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Robustness Analysis of a Fast Virtual Temperature Sensor Using a Recurrent Neural Network Model Sensitivity.

Patryk Chaber1, Bartosz Chaber2

  • 1Faculty of Electronics and Information Technology, Warsaw University of Technology, 00-665 Warsaw, Poland.

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|December 11, 2025
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Summary
This summary is machine-generated.

Virtual sensing uses Nonlinear AutoRegressive eXogenous (NARX) models for heat flow simulation. Undertrained models show sensitivity artifacts, indicating weaknesses not revealed by loss functions alone.

Keywords:
automatic differentiationrecurrent neural networkvirtual sensor

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Area of Science:

  • Engineering
  • Artificial Intelligence
  • Computational Science

Background:

  • Virtual sensing is a growing research area.
  • Recurrent neural networks are effective for time-series forecasting.
  • Nonlinear AutoRegressive eXogenous (NARX) models are a type of recurrent neural network.

Purpose of the Study:

  • To investigate the sensitivity of NARX models with varying complexity for heat flow simulation.
  • To determine if loss function values alone indicate model sensitivity.
  • To identify potential weaknesses in undertrained NARX models.

Main Methods:

  • Utilized NARX models as surrogate neural networks for heat flow simulation.
  • Analyzed the sensitivity of NARX models across different levels of complexity.
  • Examined the impact of training epochs on model sensitivity and artifacts.

Main Results:

  • Loss function value alone is insufficient to indicate NARX model sensitivity.
  • Undertrained NARX models exhibit artifacts in their sensitivity, revealing model weaknesses.
  • Model sensitivity generally increases with more training epochs, while its pattern remains consistent.

Conclusions:

  • Model sensitivity is a crucial factor in virtual sensing applications.
  • Careful consideration of training extent is necessary to avoid artifacts in NARX models.
  • NARX models can be effectively used for heat flow simulation with appropriate training.