Analysis and synthesis of a class of neural networks with piecewise linear saturation activation functions

Dynamical Systems with Saturation Nonlinearities - Lecture Notes in Control and Information Sciences ◽

10.1007/bfb0032155 ◽

2005 ◽

pp. 114-130

Keyword(s):

Neural Networks ◽

Piecewise Linear ◽

Activation Functions ◽

Analysis And Synthesis

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Multistability and instability of competitive neural networks with non-monotonic piecewise linear activation functions

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.08.005 ◽

2019 ◽

Vol 45 ◽

pp. 799-821 ◽

Cited By ~ 8

Author(s):

Xiaobing Nie ◽

Jinde Cao ◽

Shumin Fei

Keyword(s):

Neural Networks ◽

Piecewise Linear ◽

Activation Functions

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Monostability and Multistability for Almost-Periodic Solutions of Fractional-Order Neural Networks With Unsaturating Piecewise Linear Activation Functions

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2020.2964030 ◽

2020 ◽

Vol 31 (12) ◽

pp. 5138-5152

Author(s):

Peng Wan ◽

Dihua Sun ◽

Min Zhao ◽

Hang Zhao

Keyword(s):

Neural Networks ◽

Periodic Solutions ◽

Fractional Order ◽

Piecewise Linear ◽

Almost Periodic Solutions ◽

Almost Periodic ◽

Activation Functions

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Multistability and attraction basins of discrete-time neural networks with nonmonotonic piecewise linear activation functions

Neural Networks ◽

10.1016/j.neunet.2019.10.005 ◽

2020 ◽

Vol 122 ◽

pp. 231-238

Author(s):

Peng Wan ◽

Dihua Sun ◽

Min Zhao ◽

Li Wan ◽

Shuang Jin

Keyword(s):

Neural Networks ◽

Discrete Time ◽

Piecewise Linear ◽

Activation Functions ◽

Attraction Basins

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Multistability of Switched Neural Networks With Piecewise Linear Activation Functions Under State-Dependent Switching

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2018.2876711 ◽

2019 ◽

Vol 30 (7) ◽

pp. 2052-2066 ◽

Cited By ~ 5

Author(s):

Zhenyuan Guo ◽

Linlin Liu ◽

Jun Wang

Keyword(s):

Neural Networks ◽

Piecewise Linear ◽

Activation Functions ◽

Switched Neural Networks ◽

State Dependent

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Multistability and instability of delayed competitive neural networks with nondecreasing piecewise linear activation functions

Neurocomputing ◽

10.1016/j.neucom.2013.03.030 ◽

2013 ◽

Vol 119 ◽

pp. 281-291 ◽

Cited By ~ 34

Author(s):

Xiaobing Nie ◽

Jinde Cao ◽

Shumin Fei

Keyword(s):

Neural Networks ◽

Piecewise Linear ◽

Activation Functions

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Multistability of Memristive Neural Networks with Non-monotonic Piecewise Linear Activation Functions

Advances in Neural Networks – ISNN 2015 - Lecture Notes in Computer Science ◽

10.1007/978-3-319-25393-0_21 ◽

2015 ◽

pp. 182-191 ◽

Cited By ~ 2

Author(s):

Xiaobing Nie ◽

Jinde Cao

Keyword(s):

Neural Networks ◽

Piecewise Linear ◽

Memristive Neural Networks ◽

Activation Functions

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Local stability analysis of high-order recurrent neural networks with multi-step piecewise linear activation functions

2013 IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning (ADPRL) ◽

10.1109/adprl.2013.6614981 ◽

2013 ◽

Author(s):

Yujiao Huang ◽

Huaguang Zhang ◽

Dongsheng Yang

Keyword(s):

Neural Networks ◽

Stability Analysis ◽

Recurrent Neural Networks ◽

Local Stability ◽

Piecewise Linear ◽

High Order ◽

Activation Functions ◽

Local Stability Analysis

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Multistability of Discrete-Time Recurrent Neural Networks With Unsaturating Piecewise Linear Activation Functions

IEEE Transactions on Neural Networks ◽

10.1109/tnn.2004.824272 ◽

2004 ◽

Vol 15 (2) ◽

pp. 329-336 ◽

Cited By ~ 89

Author(s):

Z. Yi ◽

K.K. Tan

Keyword(s):

Neural Networks ◽

Discrete Time ◽

Recurrent Neural Networks ◽

Piecewise Linear ◽

Activation Functions

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Remarks on the Article by X.B. Nie, J.D. Cao and S.M. Fei “Multistability and instability of delayed competitive neural networks with nondecreasing piecewise linear activation functions”

Neurocomputing ◽

10.1016/j.neucom.2015.11.067 ◽

2016 ◽

Vol 177 ◽

pp. 628-635 ◽

Cited By ~ 1

Author(s):

Shuang Ding ◽

Xiangyu Gao ◽

Julong Tan

Keyword(s):

Neural Networks ◽

Piecewise Linear ◽

Activation Functions

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Multistability of memristive Cohen–Grossberg neural networks with non-monotonic piecewise linear activation functions and time-varying delays

Neural Networks ◽

10.1016/j.neunet.2015.07.009 ◽

2015 ◽

Vol 71 ◽

pp. 27-36 ◽

Cited By ~ 38

Author(s):

Xiaobing Nie ◽

Wei Xing Zheng ◽

Jinde Cao

Keyword(s):

Neural Networks ◽

Piecewise Linear ◽

Time Varying ◽

Activation Functions

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