# Deep Learning-Based Calibration of a Multi-Point Thin-Film Thermocouple Array for Temperature Field Measurement

**Authors:** Zewang Zhang, Shigui Gong, Jiajie Ye, Chengfei Zhang, Jun Chen, Zhixuan Su, Heng Wang, Zhichun Liu, Zhenyin Hai

PMC · DOI: 10.3390/s26061956 · Sensors (Basel, Switzerland) · 2026-03-20

## TL;DR

This paper introduces a deep learning method to improve the accuracy of multi-point thermocouple arrays for measuring large-area temperature fields.

## Contribution

A novel deep learning-based calibration method is proposed to reduce coupling effects in multi-point thin-film thermocouples.

## Key findings

- A three-hidden-layer MLP trained with Adam optimizer effectively compensates for coupling-induced deviations.
- The calibration method significantly reduces measurement errors and improves thermocouple array accuracy.
- The system achieves reliable performance for large-area temperature monitoring.

## Abstract

Multi-point array thin-film thermocouples have strong potential for high-precision, wide-range temperature monitoring in applications such as aircraft engine thermal condition assessment and industrial process control. However, conventional single-point thin-film thermocouples cannot satisfy the distributed measurement requirements of large-area temperature fields, and the accuracy of multi-point arrays is often degraded by coupling effects among sensing nodes, which hinders their engineering deployment. In this work, a multi-point array thin-film thermocouple is fabricated via precision welding, and an insulating layer is deposited on the sensor surface using electrospray atomization to establish a multi-point temperature-sensing hardware system. To compensate for coupling-induced deviations, a deep learning–based calibration method is developed: measurements from the array and reference thermocouples are synchronously collected to build the dataset, outliers are removed using the interquartile range (IQR) method, and a three-hidden-layer multilayer perceptron (MLP) is trained for each node independently using the Adam optimizer (learning rate 0.001) with an 8:2 train–test split. Performance is quantified by MAE, MSE, and R2, and the results show that the proposed approach markedly reduces measurement errors and improves the accuracy of the array thermocouples, demonstrating reliable performance and practical applicability for precise large-area temperature-field monitoring.

## Full text

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## Figures

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## References

34 references — full list in the complete paper: https://tomesphere.com/paper/PMC13030179/full.md

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Source: https://tomesphere.com/paper/PMC13030179