Deep Regression‐Based Encoder‐Decoder: A Novel Deep Learning Framework for Industrial Soft Sensor Application

ABSTRACT A data‐driven soft sensor is indeed an empirical model which predicts the hard‐to‐measure quality variable from available easy‐to‐measure process variables. From the data‐driven perspective, the quality data inherently consists of both linear and nonlinear predictable information. Therefore, to exploit linear and nonlinear information useful for quality prediction, a novel module called regression‐based encoder‐decoder (RED) is first designed for deep learning. The RED utilizes a partial least square regression (PLSR) model to extract latent features highly correlated with the quality variable, and subsequently employs the encoder‐decoder framework to extract nonlinear hidden features that helpful for further reducing the prediction error. Moreover, in addition to the commonly used stacked structure of multiple RED modules, a regression layer with parameters pretrained by the least square regression (LSR) algorithm is proposed for fusing the multiple predictions generated through layer‐by‐layer propagation. The novel deep learning architecture proposed for soft sensor modeling is thus termed as deep RED (DRED), and its outstanding soft sensing performance is demonstrated through comparative experiments carried out on two real‐world industrial processes.

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Publication Details

Journal
Quality and Reliability Engineering International
Published
2026-08-03
DOI
https://doi.org/10.1002/qre.70349
Primary Topic
Fault Detection and Control Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

Deep Regression‐Based Encoder‐Decoder: A Novel Deep Learning Framework for Industrial Soft Sensor Application

Chudong Tong, Lijia Luo, Huatong Dai, Meng Wang
Quality and Reliability Engineering International
Fault Detection and Control Systems
article

Deep Regression‐Based Encoder‐Decoder: A Novel Deep Learning Framework for Industrial Soft Sensor Application

Chudong Tong, Lijia Luo, Huatong Dai, Meng Wang
article en

Abstract

ABSTRACT A data‐driven soft sensor is indeed an empirical model which predicts the hard‐to‐measure quality variable from available easy‐to‐measure process variables. From the data‐driven perspective, the quality data inherently consists of both linear and nonlinear predictable information. Therefore, to exploit linear and nonlinear information useful for quality prediction, a novel module called regression‐based encoder‐decoder (RED) is first designed for deep learning. The RED utilizes a partial least square regression (PLSR) model to extract latent features highly correlated with the quality variable, and subsequently employs the encoder‐decoder framework to extract nonlinear hidden features that helpful for further reducing the prediction error. Moreover, in addition to the commonly used stacked structure of multiple RED modules, a regression layer with parameters pretrained by the least square regression (LSR) algorithm is proposed for fusing the multiple predictions generated through layer‐by‐layer propagation. The novel deep learning architecture proposed for soft sensor modeling is thus termed as deep RED (DRED), and its outstanding soft sensing performance is demonstrated through comparative experiments carried out on two real‐world industrial processes.

Quality and Reliability Engineering International
Ningbo University of Technology (CN), Ningbo Polytechnic (CN), Zhejiang University of Technology (CN)
Natural Science Foundation of Zhejiang Province
Industry, innovation and infrastructure
Openalex Percentile: Top 11%
Fault Detection and Control Systems
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