Complex-Valued Logic for Neural Networks

被引：0

作者：

Kagan, Evgeny ^{[1
,2
]}

Rybalov, Alexander ^{[2
]}

Yager, Ronald ^{[3
]}

机构：

[1] Ariel Univ, Ariel, Israel

[2] Tel Aviv Univ, LAMBDA Lab, Tel Aviv, Israel

[3] Yona Coll, Machine Intelligence Inst, New York, NY USA

来源：

2018 IEEE INTERNATIONAL CONFERENCE ON THE SCIENCE OF ELECTRICAL ENGINEERING IN ISRAEL (ICSEE) | 2018年

关键词：

Complex-valued logic; neural network; uninorm; absorbing norm;

D O I：

暂无

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In the report, a simple complex-valued logic is derived from the algebraic structure with uninorm and absorbing norm aggregators. Such construction forms a unified framework for probabilistic and complex fuzzy logics and provides a basis for modeling decision-making in complex systems. In particular, the applicability of the obtained logic is illustrated by construction of the modules of neural networks with recursive learning.

引用

页数：4

共 50 条

[31] Multistability of complex-valued neural networks with distributed delays
Gong, Weiqiang
Liang, Jinling
Zhang, Congjun
[J]. NEURAL COMPUTING & APPLICATIONS, 2017, 28 : S1 - S14
[32] Multistability and Multiperiodicity Analysis of Complex-Valued Neural Networks
Hu, Jin
Wang, Jun
[J]. ADVANCES IN NEURAL NETWORKS - ISNN 2014, 2014, 8866 : 59 - 68
[33] An augmented CRTRL for complex-valued recurrent neural networks
Goh, Su Lee
Mandic, Danilo P.
[J]. NEURAL NETWORKS, 2007, 20 (10) : 1061 - 1066
[34] The universal approximation theorem for complex-valued neural networks
Voigtlaender, Felix
[J]. APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2023, 64 : 33 - 61
[35] A complex-valued RTRL algorithm for recurrent neural networks
Goh, SL
Mandic, DP
[J]. NEURAL COMPUTATION, 2004, 16 (12) : 2699 - 2713
[36] A Structural Optimization Algorithm for Complex-Valued Neural Networks
Dong, Zhongying
Huang, He
[J]. 2019 IEEE SYMPOSIUM SERIES ON COMPUTATIONAL INTELLIGENCE (IEEE SSCI 2019), 2019, : 1530 - 1535
[37] Representation of complex-valued neural networks: A real-valued approach
Yadav, A
Mishra, D
Ray, S
Yadav, RN
Kalra, PK
[J]. 2005 International Conference on Intelligent Sensing and Information Processing, Proceedings, 2005, : 331 - 335
[38] Complex-Valued Neural Network and Complex-Valued Backpropagation Learning Algorithm
Nitta, Tohru
[J]. ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL 152, 2008, 152 : 153 - 220
[39] Global asymptotic stability by complex-valued inequalities for complex-valued neural networks with delays on period time scales
Zhang, Zhengqiu
Hao, Dangli
Zhou, Dongming
[J]. NEUROCOMPUTING, 2017, 219 : 494 - 501
[40] Complex-valued neural networks for the Takagi vector of complex symmetric matrices
Wang, Xuezhong
Che, Maolin
Wei, Yimin
[J]. NEUROCOMPUTING, 2017, 223 : 77 - 85

← 1 2 3 4 5 →