Tensor analysis models for high-dimensional computer vision tasks

In the field of high dimensional computer vision problems, the feature redundancy, high computation complexity and multidimensional structural loss are responsible for low recognition rates.This study introduces a Tensor Subspace Learning Framework (TSLF) which combines Higher-Order Singular Value Decomposition (HOSVD) and Tucker decomposition of tensors, low rank tensor optimization and Alternating Least Squares (ALS) to efficiently learn multilinear features and reduce the dimensionality.The framework is evaluated using classification accuracy, classification precision, classification recall, F1 score, feature preservation rate, reconstruction error, computational time, and memory usage and compared with the classification based on PCA, vector based SVD and CNN feature extraction.Experimental results reveal that proposed method achieved 97.86% accuracy, 96.91% F1-Score, 98.04% feature preservation and 29.8% less computational time when compared to other methods with the reconstruction error 0.021.The key novelty here is the consistent and mathematically sound framework for robust high dimensional computer vision analysis that is provided by a unified tensor decomposition and optimization that is scalable.

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Publication Details

Journal
Journal of Interdisciplinary Mathematics
Published
2026-10-27
DOI
https://doi.org/10.47974/jim-2814
Primary Topic
Tensor decomposition and applications
Type
article
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article

Tensor analysis models for high-dimensional computer vision tasks

Pon Jeyanthi, A.I. Ashirova, Aseem Aneja, Nikhil Govil et al.
Journal of Interdisciplinary Mathematics
Tensor decomposition and applications
article

Tensor analysis models for high-dimensional computer vision tasks

Pon Jeyanthi, A.I. Ashirova, Aseem Aneja, Nikhil Govil, Shoyimkulov Asror, Srikanta Sahoo, Ramachandran Thulasiram
article en

Abstract

In the field of high dimensional computer vision problems, the feature redundancy, high computation complexity and multidimensional structural loss are responsible for low recognition rates.This study introduces a Tensor Subspace Learning Framework (TSLF) which combines Higher-Order Singular Value Decomposition (HOSVD) and Tucker decomposition of tensors, low rank tensor optimization and Alternating Least Squares (ALS) to efficiently learn multilinear features and reduce the dimensionality.The framework is evaluated using classification accuracy, classification precision, classification recall, F1 score, feature preservation rate, reconstruction error, computational time, and memory usage and compared with the classification based on PCA, vector based SVD and CNN feature extraction.Experimental results reveal that proposed method achieved 97.86% accuracy, 96.91% F1-Score, 98.04% feature preservation and 29.8% less computational time when compared to other methods with the reconstruction error 0.021.The key novelty here is the consistent and mathematically sound framework for robust high dimensional computer vision analysis that is provided by a unified tensor decomposition and optimization that is scalable.

Journal of Interdisciplinary MathematicsVol. 29(10)
Siksha O Anusandhan University (IN), Meenakshi Academy of Higher Education and Research (IN), Termez University of Economics and Service (UZ), Mamun University (UZ), Chitkara University (IN), GLA University (IN)
Openalex Percentile: Top 17%
Tensor decomposition and applications
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