Performance Assessment of Determinant Kernels in Content-Based Video Retrieval: A Non-Square Determinant Approach

Besnik Duriqi; Halil Snopce; Armend Salihu; Artan Luma; Azir Aliu

doi:10.55549/epstem.1804296

Performance Assessment of Determinant Kernels in Content-Based Video Retrieval: A Non-Square Determinant Approach

Abstract

Content-Based Video Retrieval (CBVR) relies on efficient similarity metrics to enhance the accuracy of the retrieval and reduce the computational overhead. This work explores the efficiency of determinant kernels by computing non-square determinants for similarity score calculation in high-dimensional feature spaces. Based on determinant-based computations, we propose a new method that increases the efficiency as well as the retrieval quality. The work focuses on the creation of a rigorous mathematical framework that integrates determinant kernels in the similarity measurement process, which forms a crucial building block in CBVR systems. Based on rigorous experiments on standard video datasets, we analyze the degree to which non-square determinant computations capture variations in the video content that other approaches might not capture. Our analysis demonstrates that the new method significantly increases the processing efficiency, leading to more accurate retrieval results. Additionally, the method proves to be computationally efficient, making it suitable for real-time applications as well as for large-scale video databases. The findings of this work make substantial contributions to the area of CBVR techniques and pave the way for future work in efficient video content analysis.

Keywords

References

Duriqi, B., Snopce, H., Salihu, A., Luma, A., & Aliu, A. (2025). Performance assessment of determinant kernels in content-based video retrieval: A non-square determinant approach. The Eurasia Proceedings of Science, Technology, Engineering and Mathematics (EPSTEM), 35, 115-123

Details

Primary Language

English

Subjects

Statistics (Other)

Journal Section

Conference Paper

Authors

Besnik Duriqi This is me
Macedonia

Halil Snopce This is me
Macedonia

Armend Salihu This is me
Kosovo

Artan Luma This is me
Macedonia

Azir Aliu This is me
Macedonia

Early Pub Date

October 20, 2025

Publication Date

September 30, 2025

Submission Date

May 20, 2025

Acceptance Date

June 24, 2025

Published in Issue

Year 2025 Volume: 35

DOI

https://doi.org/10.55549/epstem.1804296

IZ

https://izlik.org/JA48PW29HC

Cite

RIS / Bibtex

APA

Duriqi, B., Snopce, H., Salihu, A., Luma, A., & Aliu, A. (2025). Performance Assessment of Determinant Kernels in Content-Based Video Retrieval: A Non-Square Determinant Approach. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 35, 115-123. https://doi.org/10.55549/epstem.1804296