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Classifying for images based on the extracted probability density function and the quasi Bayesian method

Author

Listed:
  • Hieu Huynh-Van

    (Ho Chi Minh City University of Technology (HCMUT)
    Vietnam National University Ho Chi Minh City
    Industrial University of Ho Chi Minh City)

  • Tuan Le-Hoang

    (Vietnam National University Ho Chi Minh City
    University of Information Technology)

  • Tai Vo-Van

    (Can Tho University)

Abstract

This study presents a novel algorithm for image classification based on a quasi-Bayesian approach and the extraction of probability density functions (PDFs). First, representative PDFs are extracted from each image using its features. Next, a measure is developed to evaluate the similarity between the extracted PDFs. Finally, an algorithm is established for determining prior probabilities using fuzzy clustering techniques. By combining these improvements, we develop a more efficient algorithm for classifying image data. An image is assigned to a specific group if it has the highest value of prior probability and a similar level to that group. We explain the proposed algorithm step-by-step with a numerical example and clearly demonstrate its convergence. When applied to multiple image datasets, the proposed algorithm has shown stability and efficiency, outperforming many other statistical and machine learning methods. Additionally, we have developed a Matlab procedure to apply the proposed algorithm to real image datasets. These applications demonstrate the potential of research in various fields related to the digital revolution and artificial intelligence.

Suggested Citation

  • Hieu Huynh-Van & Tuan Le-Hoang & Tai Vo-Van, 2024. "Classifying for images based on the extracted probability density function and the quasi Bayesian method," Computational Statistics, Springer, vol. 39(5), pages 2677-2701, July.
    • Handle: RePEc:spr:compst:v:39:y:2024:i:5:d:10.1007_s00180-023-01400-1
    DOI: 10.1007/s00180-023-01400-1
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    References listed on IDEAS

    as
    1. Ha Che-Ngoc & Thao Nguyen-Trang & Tran Nguyen-Bao & Trung Nguyen-Thoi & Tai Vo-Van, 2022. "A new approach for face detection using the maximum function of probability density functions," Annals of Operations Research, Springer, vol. 312(1), pages 99-119, May.
    2. Dinh Phamtoan & Tai Vovan, 2023. "The fuzzy cluster analysis for interval value using genetic algorithm and its application in image recognition," Computational Statistics, Springer, vol. 38(1), pages 25-51, March.
    3. Tai Vo Van & T. Pham-Gia, 2010. "Clustering probability distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(11), pages 1891-1910.
    Full references (including those not matched with items on IDEAS)

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