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Learning High-Order Features for Fine-Grained Visual Categorization with Causal Inference

Author

Listed:
  • Yuhang Zhang

    (School of Mathematics and Statistics, Wuhan University of Technology, 122 Luoshi Road, Wuhan 430070, China)

  • Yuan Wan

    (School of Mathematics and Statistics, Wuhan University of Technology, 122 Luoshi Road, Wuhan 430070, China)

  • Jiahui Hao

    (School of Mathematics and Statistics, Wuhan University of Technology, 122 Luoshi Road, Wuhan 430070, China)

  • Zaili Yang

    (Liverpool Logistics, Offshore and Marine Research Institute, Liverpool John Moores University, Liverpool L3 3AF, UK)

  • Huanhuan Li

    (Liverpool Logistics, Offshore and Marine Research Institute, Liverpool John Moores University, Liverpool L3 3AF, UK)

Abstract

Recently, causal models have gained significant attention in natural language processing (NLP) and computer vision (CV) due to their capability of capturing features with causal relationships. This study addresses Fine-Grained Visual Categorization (FGVC) by incorporating high-order feature fusions to improve the representation of feature interactions while mitigating the influence of confounding factors through causal inference. A novel high-order feature learning framework with causal inference is developed to enhance FGVC. A causal graph tailored to FGVC is constructed, and the causal assumptions of baseline models are analyzed to identify confounding factors. A reconstructed causal structure establishes meaningful interactions between individual images and image pairs. Causal interventions are applied by severing specific causal links, effectively reducing confounding effects and enhancing model robustness. The framework combines high-order feature fusion with interventional fine-grained learning by performing causal interventions on both classifiers and categories. The experimental results demonstrate that the proposed method achieves accuracies of 90.7% on CUB-200, 92.0% on FGVC-Aircraft, and 94.8% on Stanford Cars, highlighting its effectiveness and robustness across these widely used fine-grained recognition datasets. Comprehensive evaluations of these three widely used fine-grained recognition datasets demonstrate the proposed framework’s effectiveness and robustness.

Suggested Citation

  • Yuhang Zhang & Yuan Wan & Jiahui Hao & Zaili Yang & Huanhuan Li, 2025. "Learning High-Order Features for Fine-Grained Visual Categorization with Causal Inference," Mathematics, MDPI, vol. 13(8), pages 1-23, April.
  • Handle: RePEc:gam:jmathe:v:13:y:2025:i:8:p:1340-:d:1638268
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    References listed on IDEAS

    as
    1. Keele, Luke, 2015. "The Statistics of Causal Inference: A View from Political Methodology," Political Analysis, Cambridge University Press, vol. 23(3), pages 313-335, July.
    2. Juan Pablo Gomez & Derya Akleman & Ergun Akleman & Ioannis Pavlidis, 2018. "Causality Effects of Interventions and Stressors on Driving Behaviors under Typical Conditions," Mathematics, MDPI, vol. 6(8), pages 1-15, August.
    3. Hang Su & Wei Wang, 2024. "Invariant Feature Learning Based on Causal Inference from Heterogeneous Environments," Mathematics, MDPI, vol. 12(5), pages 1-23, February.
    4. Haifeng Li & Mo Hai & Wenxun Tang, 2022. "Prior Knowledge-Based Causal Inference Algorithms and Their Applications for China COVID-19 Analysis," Mathematics, MDPI, vol. 10(19), pages 1-20, September.
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