启发式混沌神经网络:感知的候选模型

IF 2.6 3区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
M. Ahmadlou, F. Mamashli, M. Golpayegani
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引用次数: 0

摘要

本文提出了一种新的混沌神经网络(CNN)。该网络包含期望数量的相互作用单元,每个单元都有自己的混沌动态和由输出单元之间产生凸包引起的奇异吸引子。该模型具有特殊的相互作用特性,能够产生大量不同的混沌行为。李雅普诺夫指数和相空间平面准则已被用来证明行为之间的区别。利用凸包在后续迭代中捕获每个单元的生成输出,实现了其折叠特性和逻辑函数的拉伸特性,以及任意数量的各种奇异吸引子的出现。因此,基于期望准则,该网络能够为每个感官输入分配每个奇怪的吸引子。换句话说,网络有能力成为建模感知的候选对象。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Heuristic Chaotic Neural Network: Candidate Model for Perception
In this paper a new Chaotic Neural Network (CNN) have been made. This network contains desired number of interacting units and each one has its own chaotic dynamic and strange attractor caused by creating convex hull among output units. Having a special interaction characteristic, the model is able to create enormous different chaotic behaviors. Lyapunov Exponent and phase space plane criteria have been used for demonstrating discrimination between behaviors. Making use of convex hull for trapping generated outputs of each unit in subsequent iteration, its folding characteristic and stretching property of logistic function, emerging of arbitrary number of various strange attractors have been accomplished. Therefore, based on desired criterion, this network is able to assign each strange attractor to each sensory input. In other words the network has the ability of being a candidate for modeling perception.
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来源期刊
Journal of Systems Science & Complexity
Journal of Systems Science & Complexity 数学-数学跨学科应用
CiteScore
3.80
自引率
9.50%
发文量
90
审稿时长
6-12 weeks
期刊介绍: The Journal of Systems Science and Complexity is dedicated to publishing high quality papers on mathematical theories, methodologies, and applications of systems science and complexity science. It encourages fundamental research into complex systems and complexity and fosters cross-disciplinary approaches to elucidate the common mathematical methods that arise in natural, artificial, and social systems. Topics covered are: complex systems, systems control, operations research for complex systems, economic and financial systems analysis, statistics and data science, computer mathematics, systems security, coding theory and crypto-systems, other topics related to systems science.
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