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Boundedness and convergence of split complex gradient descent algorithm with momentum and regularizer for TSK fuzzy models

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成果类型:
期刊论文
作者:
Liu, Yan*;Li, Long;Yang, Dakun
通讯作者:
Liu, Yan
作者机构:
[Liu, Yan] Dalian Polytech Univ, Sch Informat Sci & Engn, Dalian 116034, Peoples R China.
[Li, Long] Hengyang Normal Univ, Dept Math & Computat Sci, Hengyang 421008, Peoples R China.
[Yang, Dakun] Sun Yat Sen Univ, Sch Informat Sci & Technol, Guangzhou 510275, Guangdong, Peoples R China.
通讯机构:
[Liu, Yan] D
Dalian Polytech Univ, Sch Informat Sci & Engn, Dalian 116034, Peoples R China.
语种:
英文
关键词:
Fuzzy sets;Inference engines;Momentum;Convergence;Convergence analysis;Fuzzy inference model;Neuro-fuzzy algorithms;Real-valued functions;Regularizer;Split complex;TSK fuzzy model;Fuzzy inference;Article;fuzzy logic;kernel method;learning;learning algorithm;nerve cell;noise;nonlinear system;prediction;priority journal;split complex gradient descent algorithm;steady state;systematic error;validation process
期刊:
Neurocomputing
ISSN:
0925-2312
年:
2018
卷:
311
页码:
270-278
基金类别:
This work is Supported by the National Natural Science Foundation of China (Nos. 61403056 and 11401185 ), Natural Science Foundation Guidance Project of Liaoning Province (No. 201602050), and Dalian Youth Science and Technology Star Project (No. 2017RQ129). This work is Supported by the National Natural Science Foundation of China (Nos. 61403056 and 11401185), Natural Science Foundation Guidance Project of Liaoning Province (No. 201602050), and Dalian Youth Science and Technology Star Project (No. 2017RQ129).
机构署名:
本校为其他机构
院系归属:
数学与统计学院
摘要:
This paper investigates the split complex gradient descent based neuro-fuzzy algorithm with self-adaptive momentum and L2 regularizer for training TSK (Takagi–Sugeno–Kang) fuzzy inference models. The major threat for disposing complex data with fuzzy system is contradiction of boundedness and analyticity in the complex domain, as expressed by Liouville's theorem. The proposed algorithm operates a couple of real-valued functions and splits the complex variables into real part and imaginary part. Dynamical momentum is included in the learning m...

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