tenSVD algorithm for compression

Fuente: arXiv
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Main Author: Gallo, Michele
Format: Preprint
Published: 2025
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author Gallo, Michele
author_facet Gallo, Michele
contents Tensors provide a robust framework for managing high-dimensional data. Consequently, tensor analysis has emerged as an active research area in various domains, including machine learning, signal processing, computer vision, graph analysis, and data mining. This study introduces an efficient image storage approach utilizing tensors, aiming to minimize memory to store, bandwidth to transmit and energy to processing. The proposed method organizes original data into a higher-order tensor and applies the Tucker model for compression. Implemented in R, this method is compared to a baseline algorithm. The evaluation focuses on efficient of algorithm measured in term of computational time and the quality of information preserved, using both simulated and real datasets. A detailed analysis of the results is conducted, employing established quantitative metrics, with significant attention paid to sustainability in terms of energy consumption across algorithms.
format Preprint
id arxiv_https___arxiv_org_abs_2505_21686
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle tenSVD algorithm for compression
Gallo, Michele
Computation
Computer Vision and Pattern Recognition
Machine Learning
Tensors provide a robust framework for managing high-dimensional data. Consequently, tensor analysis has emerged as an active research area in various domains, including machine learning, signal processing, computer vision, graph analysis, and data mining. This study introduces an efficient image storage approach utilizing tensors, aiming to minimize memory to store, bandwidth to transmit and energy to processing. The proposed method organizes original data into a higher-order tensor and applies the Tucker model for compression. Implemented in R, this method is compared to a baseline algorithm. The evaluation focuses on efficient of algorithm measured in term of computational time and the quality of information preserved, using both simulated and real datasets. A detailed analysis of the results is conducted, employing established quantitative metrics, with significant attention paid to sustainability in terms of energy consumption across algorithms.
title tenSVD algorithm for compression
topic Computation
Computer Vision and Pattern Recognition
Machine Learning
url https://arxiv.org/abs/2505.21686