Fractional-order extreme learning machine with Levy flight

被引:1
作者
Zhang, Shuo [1 ]
Chen, YangQuan [2 ]
Yu, Yongguang [1 ]
机构
[1] Beijing Jiaotong Univ, Beijing 100044, Peoples R China
[2] Univ Calif Merced, Merced, CA 95343 USA
来源
IFAC PAPERSONLINE | 2017年 / 50卷 / 01期
基金
中国国家自然科学基金;
关键词
Fractional-order; Extreme learning machine; Levy flight; Regression; Optimization; REGRESSION; NETWORKS; ELM;
D O I
10.1016/j.ifacol.2017.08.1249
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Fractional-order extreme learning machine is presented for a regression problem in this paper. The objective optimization function is designed as a fractional-order one, which can obtain better optimization results in training and testing errors. Moveover, Levy flight which is a class of fractional-order continuous random walk owing a heavy-tailed distribution, is used to search the related weight and threshold parameters. The connection between the order of Levy flight and the error result is discussed. Some given examples are provided to verify the better performance of the proposed methods. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:8109 / 8114
页数:6
相关论文
共 15 条
[1]   Extreme Learning Machines [J].
Cambria, Erik ;
Huang, Guang-Bin .
IEEE INTELLIGENT SYSTEMS, 2013, 28 (06) :30-31
[2]   Electricity Price Forecasting With Extreme Learning Machine and Bootstrapping [J].
Chen, Xia ;
Dong, Zhao Yang ;
Meng, Ke ;
Ku, Yan ;
Wong, Kit Po ;
Ngan, H. W. .
IEEE TRANSACTIONS ON POWER SYSTEMS, 2012, 27 (04) :2055-2062
[3]   Regularized Extreme Learning Machine [J].
Deng, Wanyu ;
Zheng, Qinghua ;
Chen, Lin .
2009 IEEE SYMPOSIUM ON COMPUTATIONAL INTELLIGENCE AND DATA MINING, 2009, :389-395
[4]  
Hariya Y, 2015, IEEE C EVOL COMPUTAT, P2678, DOI 10.1109/CEC.2015.7257220
[5]   Can threshold networks be trained directly? [J].
Huang, GB ;
Zhu, QY ;
Mao, KZ ;
Siew, CK ;
Saratchandran, P ;
Sundararajan, N .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2006, 53 (03) :187-191
[6]  
Huang GB, 2004, IEEE IJCNN, P985
[7]   Extreme learning machine: Theory and applications [J].
Huang, Guang-Bin ;
Zhu, Qin-Yu ;
Siew, Chee-Kheong .
NEUROCOMPUTING, 2006, 70 (1-3) :489-501
[8]   Extreme Learning Machine for Regression and Multiclass Classification [J].
Huang, Guang-Bin ;
Zhou, Hongming ;
Ding, Xiaojian ;
Zhang, Rui .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2012, 42 (02) :513-529
[9]   TROP-ELM: A double-regularized ELM using LARS and Tikhonov regularization [J].
Miche, Yoan ;
van Heeswijk, Mark ;
Bas, Patrick ;
Simula, Olli ;
Lendasse, Amaury .
NEUROCOMPUTING, 2011, 74 (16) :2413-2421
[10]   Optimizing extreme learning machines via ridge regression and batch intrinsic plasticity [J].
Neumann, Klaus ;
Steil, Jochen J. .
NEUROCOMPUTING, 2013, 102 :23-30