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带反峰的加权尖峰神经网络系统的图灵泛化性。

Turing Universality of Weighted Spiking Neural P Systems with Anti-spikes.

机构信息

Academy of Management Science, Business School, Shandong Normal University, Jinan, China.

College of Business, The University of Texas at San Antonio, San Antonio, TX, USA.

出版信息

Comput Intell Neurosci. 2020 Sep 17;2020:8892240. doi: 10.1155/2020/8892240. eCollection 2020.

DOI:10.1155/2020/8892240
PMID:33014033
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7519440/
Abstract

Weighted spiking neural P systems with anti-spikes (AWSN P systems) are proposed by adding anti-spikes to spiking neural P systems with weighted synapses. Anti-spikes behave like spikes of inhibition of communication between neurons. Both spikes and anti-spikes are used in the rule expressions. An illustrative example is given to show the working process of the proposed AWSN P systems. The Turing universality of the proposed P systems as number generating and accepting devices is proved. Finally, a universal AWSN P system having 34 neurons is proved to work as a function computing device by using standard rules, and one having 30 neurons is proved to work as a number generator.

摘要

带反峰的加权尖峰神经网络 P 系统(AWSN P 系统)通过在带加权突触的尖峰神经网络 P 系统中添加反峰而提出。反峰的行为类似于神经元之间通信的抑制尖峰。尖峰和反峰都用于规则表达式中。给出了一个说明性的例子来说明所提出的 AWSN P 系统的工作过程。证明了所提出的 P 系统作为数字生成和接收设备的图灵通用性。最后,通过使用标准规则,证明了一个具有 34 个神经元的通用 AWSN P 系统可以作为函数计算设备工作,并且证明了一个具有 30 个神经元的通用 AWSN P 系统可以作为数字生成器工作。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/9944a4de3bc5/CIN2020-8892240.015.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/3e102e7e9446/CIN2020-8892240.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/ae5e8cc50796/CIN2020-8892240.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/9954bc8f6944/CIN2020-8892240.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/6dd6a3f01373/CIN2020-8892240.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/9d3225a13bda/CIN2020-8892240.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/61e285604c19/CIN2020-8892240.006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/1a00b0d8dab0/CIN2020-8892240.007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/0746b8189a5a/CIN2020-8892240.008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/dff925087b06/CIN2020-8892240.009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/7d1ad3398474/CIN2020-8892240.010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/575500c263b4/CIN2020-8892240.011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/0e4d03f37234/CIN2020-8892240.012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/fe8c18144081/CIN2020-8892240.013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/7a1bc9d92430/CIN2020-8892240.014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/9944a4de3bc5/CIN2020-8892240.015.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/3e102e7e9446/CIN2020-8892240.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/ae5e8cc50796/CIN2020-8892240.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/9954bc8f6944/CIN2020-8892240.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/6dd6a3f01373/CIN2020-8892240.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/9d3225a13bda/CIN2020-8892240.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/61e285604c19/CIN2020-8892240.006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/1a00b0d8dab0/CIN2020-8892240.007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/0746b8189a5a/CIN2020-8892240.008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/dff925087b06/CIN2020-8892240.009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/7d1ad3398474/CIN2020-8892240.010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/575500c263b4/CIN2020-8892240.011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/0e4d03f37234/CIN2020-8892240.012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/fe8c18144081/CIN2020-8892240.013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/7a1bc9d92430/CIN2020-8892240.014.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0b45/7519440/9944a4de3bc5/CIN2020-8892240.015.jpg

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