Negative Shaping Order K in Set Shaping Theory: A Comprehensive Analysis

Fuente: arXiv
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Autor principal: Biereagu, Sochima
Formato: Preprint
Publicado: 2024
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author Biereagu, Sochima
author_facet Biereagu, Sochima
contents This paper explores an innovative aspect of the Set Shaping Theory, the use of a negative shaping order K. Traditionally, the theory utilizes a positive K to extend the length of data strings, enhancing their testability and compressibility. We propose a paradigm shift by employing a negative K, which shortens data strings and potentially improves compression efficiency. However, this approach sacrifices the local testability of the data, a cornerstone in traditional Set Shaping Theory. We examine the theoretical implications, practical benefits, and challenges of this new methodology.
format Preprint
id arxiv_https___arxiv_org_abs_2407_03322
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Negative Shaping Order K in Set Shaping Theory: A Comprehensive Analysis
Biereagu, Sochima
Information Theory
This paper explores an innovative aspect of the Set Shaping Theory, the use of a negative shaping order K. Traditionally, the theory utilizes a positive K to extend the length of data strings, enhancing their testability and compressibility. We propose a paradigm shift by employing a negative K, which shortens data strings and potentially improves compression efficiency. However, this approach sacrifices the local testability of the data, a cornerstone in traditional Set Shaping Theory. We examine the theoretical implications, practical benefits, and challenges of this new methodology.
title Negative Shaping Order K in Set Shaping Theory: A Comprehensive Analysis
topic Information Theory
url https://arxiv.org/abs/2407.03322