Algorithmic Compression Learning: A Hybrid Complexity–Deep Representation Framework for Medical Image Analysis

Authors

  • Soukaina Mjahed Faculty of Sciences Semlalia, Department of Computer Sciences, LISI Laboratory, Cadi Ayyad University, Marrakech, Morocco
  • Ouail Mjahed Faculty of Sciences Semlalia, Department of Computer Sciences, LISI Laboratory, Cadi Ayyad University, Marrakech, Morocco

DOI:

https://doi.org/10.15837/ijccc.2026.5.7478

Keywords:

Algorithmic Complexity, Compression-Based Features, Hybrid Deep Learning, Structural Pattern Analysis

Abstract

Understanding and quantifying structural complexity in visual data remains a fundamental challenge in pattern recognition. This work investigates the hypothesis that compression-based measures can provide a complementary structural representation that enhances deep learning models. To this end, we introduce a hybrid framework termed Algorithmic Compression Learning with Deep Learning (ACL–DL), which integrates multi-scale compression-based descriptors with deep neural representations. The proposed ACL component characterizes structural irregularity and stability across spatial scales using compression-derived measures, interpreted as empirical proxies of structural organization. These descriptors are fused with semantic embeddings extracted from fine-tuned deep networks, enabling joint modeling of intrinsic structural patterns and highlevel visual features. Experiments conducted on three heterogeneous medical imaging datasets (BUSI ultrasound, CBIS-DDSM mammography, and BreakHis histopathology) demonstrate that compression-based descriptors provide discriminative signals that complement deep representations. The best accuracy rates achieved by the ACL–DL hybrid framework, reported as mean + standard deviation, reached 95.63%, 98.72%, and 99.16% across the three datasets, consistently improving over standalone ACL and deep learning baselines with statistically significant gains (p < 0.05). Beyond predictive performance, the results highlight the potential of compression-based structural descriptors as model-agnostic components that can be effectively integrated into modern representation learning pipelines.

References

Li M. and Vitanyi P. (2008). An Introduction to Kolmogorov Complexity and Its Applications, Springer, 2008. https://doi.org/10.1007/978-0-387-49820-1

Chambon T., Guillaume J-L., Lallement J. (2023). Information Complexity Ranking: A New Method of Ranking Images by Algorithmic Complexity, Entropy, 25(3):439. https://doi.org/10.3390/e25030439

Grunwald P.D. (2007). The Minimum Description Length Principle, MIT Press. https://doi.org/10.7551/mitpress/4643.001.0001

Galbrun E. (2022). The minimum description length principle for pattern mining: a survey, Data Mining and Knowledge Discovery, 36: 1679-1727. https://doi.org/10.1007/s10618-022-00846-z

Cilibrasi R. and Vitanyi P. (2005). Clustering by compression, IEEE Transactions on Information Theory, 51 (4): 1523-1545. https://doi.org/10.1109/TIT.2005.844059

Haralick R.M., Shanmugam K. and Dinstein I. (1973). Textural Features for Image Classification, IEEE Transactions on Systems, Man, and Cybernetics, 3(6): 610-621. https://doi.org/10.1109/TSMC.1973.4309314

LeCun Y., Bengio Y. & Hinton G. (2015). Deep learning, Nature, 521, 436-444. https://doi.org/10.1038/nature14539

Bishop C.M., Bishop H. (2024). Deep learning: foundations and concepts, Springer. https://doi.org/10.1007/978-3-031-45468-4

Mienye I. D., & Sun Y. (2024). A Comprehensive Review of Deep Learning: Architectures, Applications, and Trends. Information, 15(12), 755. https://doi.org/10.3390/info15120755

Rodrigo M., Cuevas C., & García N. (2024). Comprehensive comparison between Vision Transformers and Convolutional Neural Networks for face recognition tasks. Scientific Reports, 14, 21392. https://doi.org/10.1038/s41598-024-72254-w

Zhao Y., Lu J.L. (2024). Spatiotemporal Sequence Prediction Based on Spatiotemporal Self- Attention Mechanism. International Journal of Computers Communications & Control, 19(6), 6771. https://doi.org/10.15837/ijccc.2024.6.6771

Taghanaki S.A., Abhishek K., Cohen J.P., et al. (2021). Deep Semantic Segmentation of Natural and Medical Images: A Review, Artificial Intelligence Review, 54: 137-178. https://doi.org/10.1007/s10462-020-09854-1

Jiang Y., Edwards A.V., Newstead G.M. (2021). Artificial Intelligence Applied to Breast MRI for Improved Diagnosis, Radiology, 298(1): 38-46. https://doi.org/10.1148/radiol.2020200292

Kim, K.; Lee, Y. Gray-Level Co-Occurrence Matrix Uniformity Correction Algorithm in Positron Emission Tomographic Image: A Phantom Study. Photonics. 2025; 12(1), 33. https://doi.org/10.3390/photonics12010033

Ojala T., Pietikainen M. and Maenpaa T. (2021). Multiresolution gray-scale and rotation invariant texture classification with local binary patterns, IEEE Transactions on Pattern Analysis and Machine Intelligence, 24(7): 971-987. https://doi.org/10.1109/TPAMI.2002.1017623

Dede A., Nunoo-Mensah H., Akowuah E.K., Boateng K.O., Adjei P.E., Acheampong F.A., et al. (2025). Wavelet-Based Feature Extraction for Efficient High-Resolution Image Classification, Engineering Reports, 7: e70027. https://doi.org/10.1002/eng2.70027

Costa M., Goldberger A.L., Peng C.K. (2005). Multiscale entropy analysis of biological signals. Physical Review E, 71(2Pt1):021906. https://doi.org/10.1103/PhysRevE.71.021906

Ayubi, J., Chehel Amirani, M. & Valizadeh, M. (2024). A new content-aware image resizing based on Rényi entropy and deep learning, Neural Computing & Applications, 36, 8885-8899. https://doi.org/10.1007/s00521-024-09517-0

Zhao Z.-Q., Zheng P., Xu S.-T., & Wu X. (2023). Object Detection with Deep Learning: A Review. IEEE Transactions on Neural Networks and Learning Systems, 34(8), 3949-3976.

Trigka M., Dritsas E. (2025). A Comprehensive Survey of Deep Learning Approaches in Image Processing. Sensors, 25(2):531. https://doi.org/10.3390/s25020531

He K., Zhang X., Ren S. and Sun J. (2016). Deep Residual Learning for Image Recognition, Proceeding of 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), Las Vegas, NV, USA, 2016; pp. 770-778. https://doi.org/10.1109/CVPR.2016.90

Huang, G., Liu, Z., Van Der Maaten, L. and Weinberger, K.Q. (2017). Densely Connected Convolutional Networks. Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, Honolulu, HI, USA, 2017; pp. 2261-2269. https://doi.org/10.1109/CVPR.2017.243

Tan M., and Le Q.V. (2019). Efficientnet: Rethinking Model Scaling for Convolutional Neural Networks. Proceedings of the 36th International Conference on Machine Learning, 97, 2019; pp. 6105-6114.

Dosovitskiy, A. (2021). An Image Is Worth 16 × 16 Words: Transformers for Image Recognition at Scale. Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, New York City, 2021; pp. 45-67.

Liu Z., Lin Y., Cao Y., Hu H., Wei Y., Zhang Z., et al. (2021). Swin Transformer: Hierarchical Vision Transformer Using Shifted Windows. Proceedings of 2021 IEEE/CVF International Conference on Computer Vision (ICCV), Montreal, QC, Canada, 2021; pp. 9992-10002. https://doi.org/10.1109/ICCV48922.2021.00986

Zhang Y., Liu T., Long M., and Jordan M. (2019). Bridging theory and algorithm for domain adaptation, Proceedings of the 36th International Conference on Machine Learning, pp. 7404-7413, 2019.

Rudin C., (2019). Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead, Nature Machine Intelligence, 1, 206-215. https://doi.org/10.1038/s42256-019-0048-x

Khan, S., Naseer, M., Hayat, M., Zamir, S. W., Khan, F. S., & Shah, M. (2022) Transformers in Vision: A Survey. ACM Computing Surveys, 54(10). https://doi.org/10.1145/3505244

Litjens G., Kooi T., Bejnordi B.E., Setio A., Ciompi F., Ghafoorian M., et al. (2017). A survey on deep learning in medical image analysis, Medical Image Analysis, 42, 60-88. https://doi.org/10.1016/j.media.2017.07.005

Hu C., Cao N., Zhou H., Guo B. (2024). Medical Image Classification with a Hybrid SSM Model Based on CNN and Transformer. Electronics, 13(15): 3094. https://doi.org/10.3390/electronics13153094

Mjahed O., Mjahed S. (2026). AMoE-IDS: An Adaptive Mixture-of-Experts Framework for Cross- Dataset Intrusion Detection. International Journal of Computers Communications & Control, 21(4), 7480. https://doi.org/10.15837/ijccc.2026.4.7480

Zenil H., Kiani N.A., Marabita F., Deng Y., Elias S., Schmidt A., et al. (2019). An Algorithmic Information Calculus for Causal Discovery and Reprogramming Systems, iScience, 19: 1160-1172. https://doi.org/10.1016/j.isci.2019.07.043

Hatamizadeh A., Nath V., Tang Y., Yang D., Roth H.R., Xu D. (2022). Swin UNETR: Swin Transformers for Semantic Segmentation of Brain Tumors in MRI Images. doi: 10.48550/arxiv.2201.01266 https://doi.org/10.1007/978-3-031-08999-2_22

Al-Dhabyani W., M. Gomaa M., Khaled H., and Fahmy A. (2020). Dataset of Breast Ultrasound Images. Data in Brief, 28, 104863. https://doi.org/10.1016/j.dib.2019.104863

Lee R. S., Gimenez F., Hoogi A., Miyake K., Gorovoy M., and Rubin D. L. (2017). A Curated Mammography Data Set for Use in Computer-Aided Detection and Diagnosis Research. Scientific Data, 4, 170177. https://doi.org/10.1038/sdata.2017.177

Spanhol F. A., Oliveira L. S., Petitjean C., and Heutte L. (2016). A Dataset for Breast Cancer Histopathological Image Classification. IEEE Transactions on Biomedical Engineering, 63(7): 1455-1462. https://doi.org/10.1109/TBME.2015.2496264

Alom, M.R., Farid, F.A., Rahaman, M.A. et al. (2025). An explainable AI-driven deep neural network for accurate breast cancer detection from histopathological and ultrasound images. Scientific Reports, 15, 17531. https://doi.org/10.1038/s41598-025-97718-5

Işık, G. & Paçal, İ. (2024). Few-shot classification of ultrasound breast cancer images using metalearning algorithms. Neural Computing and Applications, 36(20), 12047-12059. https://doi.org/10.1007/s00521-024-09767-y

Gheflati B. & Rivaz H. (2022). Vision transformers for classification of breast ultrasound images. Proceedings of 44th annual international conference of the IEEE Engineering in Medicine & Biology Society (EMBC), 2022; pp.480-483. https://doi.org/10.1109/EMBC48229.2022.9871809

Zhang, H. et al. (2024). Hau-net: Hybrid cnn-transformer for breast ultrasound image segmentation. Biomedical Signal Processing and Control, 87, 105427. https://doi.org/10.1016/j.bspc.2023.105427

Murty, P.S.R.C., Anuradha, C., Naidu, P.A. et al. (2024). Integrative hybrid deep learning for enhanced breast cancer diagnosis: leveraging the Wisconsin Breast Cancer Database and the CBIS-DDSM dataset. Scientific Reports, 14, 26287. https://doi.org/10.1038/s41598-024-74305-8

El Houby E.M., Yassin N.I., (2021). Malignant and nonmalignant classification of breast lesions in mammograms using convolutional neural networks. Biomedical Signal Processing and Control, 70, 102954. https://doi.org/10.1016/j.bspc.2021.102954

Zahoor S., Shoaib U., Lali I.U. (2022). Breast Cancer Mammograms Classification Using Deep Neural Network and Entropy-Controlled Whale Optimization Algorithm. Diagnostics, 12(2): 557. https://doi.org/10.3390/diagnostics12020557

Houssein E.H., Emam M.M. & Ali, A.A. (2022). An optimized deep learning architecture for breast cancer diagnosis based on improved marine predators algorithm. Neural Computing & Applications, 34, 18015-18033. https://doi.org/10.1007/s00521-022-07445-5

Yamlome P., Akwaboah A. D., Marz A. & Deo M. (2020). Convolutional neural network based breast cancer histopathology image classification. Proceedings of the 42nd Annual International Conference of the IEEE Engineering in Medicine & Biology Society (EMBC), Montreal, QC, Canada, 2020; pp. 1144-1147. https://doi.org/10.1109/EMBC44109.2020.9176594

Wang G., Jia M., Zhou Q., Xu S., Zhao Y., Wang Q., et al. (2024). Multi-classification of breast cancer pathology images based on a two-stage hybrid network. Journal of Cancer Research and Clinical Oncology, 150(12): 505. https://doi.org/10.1007/s00432-024-06002-y

Li X., Shen X., Zhou Y., Wang X., Li T-Q. (2020). Classification of breast cancer histopathological images using interleaved DenseNet with SENet (IDSNet). PLoS ONE, 15(5), e0232127. https://doi.org/10.1371/journal.pone.0232127

Nawaz M., Sewissy A.A., Soliman T.H.A. (2018). Multi-class breast cancer classification using deep learning convolutional neural network. International Journal of Advanced Computer Science and Applications, 9(6): 316-332. https://doi.org/10.14569/IJACSA.2018.090645

Additional Files

Published

2026-09-01

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.