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Article | Open Access

Hierarchical Cyber–Physical Symbiosis with Bidirectional State Space Modeling for IIoT Anomaly Diagnosis

Kelan Wang1Jianfei Chen2( )
School of Communication and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing, China
College of Electronic and Optical Engineering and College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, Nanjing, China
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Abstract

As 6G-enabled Industrial Internet of Things (IIoT) evolves, green and sustainable industrial monitoring increasingly relies on edge AI to deliver low-latency diagnosis under tight resource constraints. Industrial cyber–physical systems increasingly rely on heterogeneous sensing and communication infrastructures, where network-side attacks can propagate into physical processes and appear as coupled anomalies. Reliable diagnosis therefore requires joint learning from time-synchronized cyber and physical telemetry rather than modeling them as independent signals. This paper develops Cyber–Physical Symbiosis Network (CPSNet), a model designed for edge-AI deployment with a dual-stream architecture for fixed-window multiclass cross-domain anomaly diagnosis in IIoT. CPSNet encodes each modality into hierarchical multi-resolution features and refines them with a Multi-Scale Bidirectional-Recursive (MSBR) block. MSBR couples multi-kernel temporal convolutions with a gated bidirectional state space pathway, capturing transient irregularities while retaining long-range context within the window. Cross-modal dependency is injected at every scale by a symbiosis module that performs bidirectional channel-wise gating and holistic state space fusion to learn unified cross-modal dynamics efficiently. A compact multi-scale pooling head with auxiliary modality supervision preserves discriminative evidence in both streams. On the DataSense benchmark, CPSNet achieves 97.18% Accuracy and 99.04% AUC on Multiclass-8, and 89.07% Accuracy and 94.28% AUC on Multiclass-50, showing consistent improvements over single-modality and multi-modal baselines. Ablation and efficiency analyses further suggest complementary gains from multi-scale refinement and explicit coupling with a favorable accuracy–runtime trade-off. These results suggest that hierarchical cross-modal coupling with state space temporal modeling can improve robust, fine-grained IIoT diagnosis for 6G edge-AI monitoring.

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Computers, Materials & Continua

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Cite this article:
Wang K, Chen J. Hierarchical Cyber–Physical Symbiosis with Bidirectional State Space Modeling for IIoT Anomaly Diagnosis. Computers, Materials & Continua, 2026, 88(1). https://doi.org/10.32604/cmc.2026.079644

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Received: 25 January 2026
Accepted: 03 March 2026
Published: 08 May 2026
© The Author 2026.

This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.