具有权重的线性分形

IF 0.5 Q4 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Subhash Kak
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引用次数: 0

摘要

研究了与权重相关的线性分形。从守恒定律的角度来看,这些分形是重要的,这与各种物理系统有关,如材料科学,沙丘分形,棒状星系,以及脑电图(EEG)等时间过程。与分形相关联的权重是一个附加的特征,它可能与普遍存在的幂律和第一位数字现象相一致的分布相关联。这些分布构成了自然、生物和工程系统的过程和应用的桥梁,因此,开辟了将线性加权分形应用于这些学科的可能性。描述了两种信息论意义上接近最优的线性分形算法。提出了这些分形出现的机制:它是在物理系统的演化和转化中粒子之间的不可区分性。由于分形方法是一种成熟的信号处理和编码方法,新提出的加权分形有可能导致新的有用的算法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Linear Fractals with Weights
Linear fractals associated with weights are investigated. Such fractals are important from a conservation law perspective that is relevant in a variety of physical systems such as materials science, sand dune fractals, barred galaxies, as well as in temporal processes like in the electroencephalogram (EEG). The weight associated with fractals is an additional feature that may be associated with distributions consistent with the ubiquitous power law and the first digit phenomenon. These distributions form a bridge to processes and applications in natural, biological, and engineering systems and, therefore, open up the possibility of the application of linear weighted fractals to these subjects. Two linear fractal algorithms that are near optimal in the information theoretic sense are described. A mechanism for the emergence of these fractals is proposed: it is the indistinguishability amongst the particles in the evolution and transformation of physical systems. Since the fractal approach is an established method of signal processing and coding, the newly proposed weighted fractals have the potential to lead to new useful algorithms.
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来源期刊
Parallel Processing Letters
Parallel Processing Letters COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS-
CiteScore
0.90
自引率
25.00%
发文量
12
期刊介绍: Parallel Processing Letters (PPL) aims to rapidly disseminate results on a worldwide basis in the field of parallel processing in the form of short papers. It fills the need for an information vehicle which can convey recent achievements and further the exchange of scientific information in the field. This journal has a wide scope and topics covered included: - design and analysis of parallel and distributed algorithms - theory of parallel computation - parallel programming languages - parallel programming environments - parallel architectures and VLSI circuits
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