Quantum-Inspired Explainable Deep Learning Framework for Hepatocellular Carcinoma Detection Using Gene Expression Data
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How to Cite

G., Naveen Sundar, Ponmary Pushpa Latha D., Ilang Jeevan Vishal Raj R., Rosario Gilmary, and Narmadha D. 2026. “Quantum-Inspired Explainable Deep Learning Framework for Hepatocellular Carcinoma Detection Using Gene Expression Data”. Journal of Innovative Image Processing 8 (3): 1046-75. https://doi.org/10.36548/jiip.2026.3.015.

Keywords

Biomedical Data Analytics
Cancer Classification
Counterfactual Explanation
Deep Learning
Explainable Artificial Intelligence
Gene Expression Analysis
Hepatocellular Carcinoma
Quantum-Inspired Neural Network

Abstract

The Hepatocellular Carcinoma (HCC) diagnosis using traditional machine learning algorithms based on gene expression data faces high dimensionality, nonlinear interactions between genes, and poor interpretability. This paper proposes a quantum-inspired deep learning model to classify tumor and non-tumor liver samples based on transcriptomic profiles. The proposed model combines trigonometric encoding, parameterized nonlinear transformation, and interaction layers of features in a neural learning framework to improve the representation of gene dependencies. It includes an explainability module based on SHAP attribution and gradient-based counterfactual analysis to facilitate gene-wise explanation of predictions. The cohort-based training and independent evaluation are performed on publicly available HCC gene expression data. Performance is measured in terms of classification, calibration and robustness metrics and compared against traditional deep neural models. The findings suggest better predictive performance and predictable probabilistic actions. The proposed model achieves a high accuracy of 95.6%, a low counterfactual impact score of 0.112, a high stability index of 0.79 and the calibration of ECE: 2.03%, Brier score: 0.091.

References

  1. Adugna, Adane, Gashaw Azanaw Amare, and Mohammed Jemal. "Machine Learning Approach and Bioinformatics Analysis Discovered Key Genomic Signatures for Hepatitis B Virus-Associated Hepatocyte Remodeling and Hepatocellular Carcinoma." Cancer Informatics 24 (2025): 11769351251333847.
  2. Hasan, Md Al Mehedi, Md Maniruzzaman, Jie Huang, and Jungpil Shin. "Statistical and Machine Learning Based Platform-Independent Key Genes Identification for Hepatocellular Carcinoma." Plos one 20, no. 2 (2025): e0318215.
  3. Wang, Gang, Jiaxing Zhang, Yirong Li, Yuyu Zhang, Weiwei Dong, Hengquan Wu, Jinglan Wang et al. "Integrating Single-Cell RNA Sequencing, WGCNA, and Machine Learning to Identify Key Biomarkers in Hepatocellular Carcinoma." Scientific Reports 15, no. 1 (2025): 11157.
  4. Luo, Jiping, Jianzeng Ye, Kaipeng Huang, Ziyu Cheng, Liming Liu, and Xianpeng Li. "Nanomaterial-Assisted Immunodiagnostic Profiling and Therapeutic Targeting of Hepatocellular Carcinoma: From Molecular Biomarkers to Clinical Applications." Frontiers in Immunology 16 (2025): 1668630.
  5. Aziz, Mariwan Mahmood Hama, and Sozan Abdullah Mahmood. "Utilizing Machine Learning Techniques for Cancer Prediction and Classification Based on Gene Expression Data." UHD Journal of Science and Technology 9, no. 1 (2025): 135-148.
  6. Mukhopadhyay, Dwaipayan, Rohan J. Dalpatadu, Laxmi P. Gewali, and Ashok Singh. "ML Classification of Cancer Types Using High Dimensional Gene Expression Microarray Data." In International Conference on Information Technology-New Generations, Cham: Springer Nature Switzerland, 2025, 401-407.
  7. Alkamli, Shahad S., and Hala M. Alshamlan. "Performance Evaluation of Hybrid Bio-Inspired and Deep Learning Algorithms in Gene Selection and Cancer Classification." IEEE Access (2025).
  8. Zeng, Yifu, Yixiang Zhang, Zikai Xiao, and He Sui. "A Multi-Classification Deep Neural Network for Cancer Type Identification from High-Dimension, Small-Sample and Imbalanced Gene Microarray Data." Scientific Reports 15, no. 1 (2025): 5239.
  9. Babichev, Sergii, Igor Liakh, and Jiří Škvor. "Integrating Data Mining, Deep Learning, and Gene Ontology Analysis for Gene Expression-Based Disease Diagnosis Systems." IEEE Access 13 (2025): 21265-21278.
  10. Pomarico, Domenico, Alfonso Monaco, Nicola Amoroso, Loredana Bellantuono, Antonio Lacalamita, Marianna La Rocca, Tommaso Maggipinto et al. "Emerging Generalization Advantage of Quantum-Inspired Machine Learning in the Diagnosis of Hepatocellular Carcinoma." Discover Applied Sciences 7, no. 3 (2025): 205.
  11. Pandey, Trilok Nath, Vishvajeet Ravalekar, Sidharth D. Nair, and Sunil Kumar Pradhan. "A Comparative Analysis of Classical Machine Learning Models with Quantum-Inspired Models for Predicting World Surface Temperature." Scientific Reports 15, no. 1 (2025): 28443.
  12. Pandey, Trilok Nath, Vishvajeet Ravalekar, Sidharth D. Nair, and Sunil Kumar Pradhan. "A Comparative Analysis of Classical Machine Learning Models with Quantum-Inspired Models for Predicting World Surface Temperature." Scientific Reports 15, no. 1 (2025): 28443.
  13. Bakshi, Kanishk, and Kathiravan Srinivasan. "Quantum Inspired Qubit Qutrit Neural Networks for Real Time Financial Forecasting." Scientific Reports 15, no. 1 (2025): 28711.
  14. Chen, Kuan-Cheng, Yi-Tien Li, Tai-Yu Li, Chen-Yu Liu, Po-Heng Henry Lee, and Cheng-Yu Chen. "Compressedmediq: Hybrid Quantum Machine Learning Pipeline for High-Dimensional Neuroimaging Data." In 2025 IEEE International Conference on Acoustics, Speech, and Signal Processing Workshops (ICASSPW), IEEE, 2025, 1-5.
  15. Astuti, Aninda, Pin-Keng Shih, Shan-Chih Lee, Venugopala Reddy Mekala, Ezra B. Wijaya, and Ka-Lok Ng. "Use of Hybrid Quantum-Classical Algorithms for Enhancing Biomarker Classification." Plos one 20, no. 7 (2025): e0327928.
  16. Sinhal, Anay, and Dr Amit Sinhal. "High-Performance and Quantum Computing in Cancer Modeling: A Review and Hybrid HPC-Quantum Approach." Available at SSRN (2025).
  17. Tomar, Sahil, Rajeshwar Tripathi, and Sandeep Kumar. "A Hybrid Quantum Classical Pipeline for X Ray Based Fracture Diagnosis." arXiv preprint arXiv:2505.14716 (2025).
  18. Houssein, Essam H., Amr M. Gamal, Eman MG Younis, and Ebtsam Mohamed. "Explainable Artificial Intelligence for Medical Imaging Systems Using Deep Learning: A Comprehensive Review." Cluster Computing 28, no. 7 (2025): 469.
  19. Alkhanbouli, Razan, Hour Matar Abdulla Almadhaani, Farah Alhosani, and Mecit Can Emre Simsekler. "The Role of Explainable Artificial Intelligence in Disease Prediction: A Systematic Literature Review and Future Research Directions." BMC medical informatics and decision making 25, no. 1 (2025): 110.
  20. Sun, Qiyang, Alican Akman, and Björn W. Schuller. "Explainable Artificial Intelligence for Medical Applications: A Review." ACM Transactions on Computing for Healthcare 6, no. 2 (2025): 1-31.
  21. Okeke, Irene Uju, Irhiogbe Wilfred Omwenke, Teesii Victory Gideon, Patience Oinu Momoh, Chukwudi Jude Ofoegbu, and Precious Mathew. "Machine Learning Models for Predicting Neurodegenerative Disease Onset in Population Cohorts: A Public Health Analytics Perspective." European Journal of Medical and Health Research 4, no. 1 (2026): 4-13.
  22. Wanyonyi, Maurice, Dominic Makaa Kitavi, Faith Mueni Musyoka, and Zakayo Ndiku Morris. "Machine Learning Models for Predicting Stroke Risk Among Patients with Coronary Heart Disease." medRxiv (2026): 2025-12.
  23. Khanapur, Shraddha, Jyothi S. Nayak, B. S. Rajeshwari, M. Namratha, Chirag B. Bharadwaj, and Raghav Bhardwaj. "SHAP-Based Explainability for Local and Global Insights in Alzheimer's Detection." Engineering, Technology & Applied Science Research 16, no. 1 (2026): 30940-30947.
  24. Tai, Chen Boon, Ser Lee Loh, and Audrey Huong. "A SHAP-Explainable Framework for Blood Pressure Prediction Based on PPG and ECG Signal Analysis." Applications of Modelling and Simulation 10 (2026): 1-10.
  25. He, Yizhou, Jia Zheng, and Erbo Zou. "SHARPEN-CAM: Efficient Hierarchical SHAP-Based Visual Explanation for Deep Convolutional Neural Networks." Multimedia Systems 32, no. 1 (2026): 3.
  26. D. K. Sharipov and A. D. Saidov, “Modified SHAP Approach for Interpretable Prediction of Cardiovascular Complications,” Problems of Computational and Applied Mathematics, vol. 64, no. 2, 2025, 114–122.
  27. Duke, Shaul A., Peter Sandøe, Thomas Bøker Lund, Elisabetta Maria Abenavoli, Thomas Beyer, Daria Ferrara, Armin Frille et al. "Hyper-Selective Explainability: An Empirical Case Study of the Utility of Explainability in a Clinical Decision Support System." AI and Ethics 6, no. 1 (2026): 53.
  28. Wen, Huashu, Xiaohua Li, Haibo Zhang, Birong Wen, Yaying Ren, and Xia Zhao. "Construction of Performance Score Dynamic Prediction System for Clinical Departments Using Explainable Machine Learning." Health Information Science and Systems 14, no. 1 (2026): 8.
  29. Sun, Jiazheng, and Yulan Zeng. "Identification and Analysis of Diverse Programmed Cell Death Patterns in Idiopathic Pulmonary Fibrosis Using Microarray-Based Transcriptome Profiling and Single-Nucleus RNA Sequencing." Frontiers in Medicine 12 (2025): 1534903.
  30. Feng, Tianxuan, Peisheng Chen, and Fengfei Lin. "Identification and Analysis of Diverse Cell Death Patterns in Osteomyelitis Via Microarray-Based Transcriptome Profiling and Clinical Data." Frontiers in Immunology 16 (2025): 1630172.
  31. Lei, Kai, Yutong Zhao, Shumin Li, Jiawei Liu, Wenhao Chen, Caihong Zhou, Yi Zhang et al. "Integrative Spatial and Single-Cell Transcriptomics Elucidate Programmed Cell Death-Driven Tumor Microenvironment Dynamics in Hepatocellular Carcinoma." Frontiers in Immunology 16 (2025): 1589563.
  32. Zeng, Cheng, Chang Xu, Shuning Liu, Yuanyi Wang, Yuhan Wei, Yalong Qi, Yue Wang, Jiani Wang, and Fei Ma. "Integrated Bulk and Single-Cell Transcriptomic Analysis Unveiled a Novel Cuproptosis-Related Lipid Metabolism Gene Molecular Pattern and a Risk Index for Predicting Prognosis and Antitumor Drug Sensitivity in Breast Cancer." Discover Oncology 16, no. 1 (2025): 318.
  33. Reierson, Mae Montserrat, and Animesh Acharjee. "Unsupervised Machine Learning-Based Stratification and Immune Deconvolution of Liver Hepatocellular Carcinoma." BMC cancer 25, no. 1 (2025): 853.
  34. Xiao, Junbo, Ren Niu, and Fangchao Zhao. "Single-Cell and Spatial Transcriptome Analysis Revealed Cellular Heterogeneity of Glycosyltransferases in Cervical Cancer, and Identified GALNT3-Negative Epithelial Cells as a Protective Factor: A Retrospective Cohort Study Based on Public Database." International Journal of Surgery 111, no. 7 (2025): 4263-4278.
  35. Su, Wan, Zhang Ye, Jifang Liu, Kan Deng, Jinghua Liu, Huijuan Zhu, Lian Duan et al. "Single-Cell and Spatial Transcriptome Analyses Reveal Tumor Heterogeneity and Immune Remodeling Involved in Pituitary Neuroendocrine Tumor Progression." Nature Communications 16, no. 1 (2025): 5007.
  36. S. Roessler et al., “Hepatocellular Carcinoma Gene Expression Dataset (GSE14520),” NCBI GEO,2010. [Online]. Available: https://www.ncbi.nlm.nih.gov/geo/query/acc.cgi?acc=GSE14520.