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Title: :  Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes
PaperId: :  9494
Published in:   International Journal Of Advance Research And Innovative Ideas In Education
Publisher:   IJARIIE
e-ISSN:   2395-4396
Volume/Issue:    Volume 5 Issue 1 2019
DUI:    16.0415/IJARIIE-9494
Licence: :   IJARIIE is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Author NameAuthor Institute
Randriamamonjy Liantsoa JoharinirinaUniversity of Antananarivo, Madagascar
Randimbindrainibe FalimananaUniversity of Antananarivo, Madagascar
Robinson MatioUniversity of Antananarivo, Madagascar

Abstract

Sciences and Applications
Extreme learning machine (ELM), Growing algorithm, Incremental learning, Moore-Penrose Generalized Inverse, Sequential learning, minimizing error.
One of the open problems in neural network research is how to automatically determine network architectures for given application. The extreme learning machine (ELM) have been proposed for generalized single-hidden-layer feedforward networks (SLFNs) which perform well in both regression and classification application. In this paper, an error-minimized incremental algorithm based on Sequential Moore-Penrose Inverse is proposed, to automatically determine the number of hidden nodes in SLFNs. This approach, Sequential Moore-Penrose inverse based ELM (SMP-ELM), is able to add random hidden nodes to SLFNs one by one or group by group. During the growth of the networks, the output weights are updated incrementally. Simulation results demonstrate and verify that our new approach can achieve more compact network structure with better generalization performance.

Citations

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IJARIIE Randriamamonjy Liantsoa Joharinirina, Randimbindrainibe Falimanana, and Robinson Matio. "Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes" International Journal Of Advance Research And Innovative Ideas In Education Volume 5 Issue 1 2019 Page 666-672
MLA Randriamamonjy Liantsoa Joharinirina, Randimbindrainibe Falimanana, and Robinson Matio. "Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes." International Journal Of Advance Research And Innovative Ideas In Education 5.1(2019) : 666-672.
APA Randriamamonjy Liantsoa Joharinirina, Randimbindrainibe Falimanana, & Robinson Matio. (2019). Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes. International Journal Of Advance Research And Innovative Ideas In Education, 5(1), 666-672.
Chicago Randriamamonjy Liantsoa Joharinirina, Randimbindrainibe Falimanana, and Robinson Matio. "Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes." International Journal Of Advance Research And Innovative Ideas In Education 5, no. 1 (2019) : 666-672.
Oxford Randriamamonjy Liantsoa Joharinirina, Randimbindrainibe Falimanana, and Robinson Matio. 'Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes', International Journal Of Advance Research And Innovative Ideas In Education, vol. 5, no. 1, 2019, p. 666-672. Available from IJARIIE, http://ijariie.com/AdminUploadPdf/Sequential_Moore_Penrose_Inverse_Based_Extreme_Learning_Machine_with_Growth_of_Hidden_Nodes_ijariie9494.pdf (Accessed : 21 February 2019).
Harvard Randriamamonjy Liantsoa Joharinirina, Randimbindrainibe Falimanana, and Robinson Matio. (2019) 'Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes', International Journal Of Advance Research And Innovative Ideas In Education, 5(1), pp. 666-672IJARIIE [Online]. Available at: http://ijariie.com/AdminUploadPdf/Sequential_Moore_Penrose_Inverse_Based_Extreme_Learning_Machine_with_Growth_of_Hidden_Nodes_ijariie9494.pdf (Accessed : 21 February 2019)
IEEE Randriamamonjy Liantsoa Joharinirina, Randimbindrainibe Falimanana, and Robinson Matio, "Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes," International Journal Of Advance Research And Innovative Ideas In Education, vol. 5, no. 1, pp. 666-672, Jan-Feb 2019. [Online]. Available: http://ijariie.com/AdminUploadPdf/Sequential_Moore_Penrose_Inverse_Based_Extreme_Learning_Machine_with_Growth_of_Hidden_Nodes_ijariie9494.pdf [Accessed : 21 February 2019].
Turabian Randriamamonjy Liantsoa Joharinirina, Randimbindrainibe Falimanana, and Robinson Matio. "Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes." International Journal Of Advance Research And Innovative Ideas In Education [Online]. volume 5 number 1 (21 February 2019).
Vancouver Randriamamonjy Liantsoa Joharinirina, Randimbindrainibe Falimanana, and Robinson Matio. Sequential Moore-Penrose Inverse Based Extreme Learning Machine with Growth of Hidden Nodes. International Journal Of Advance Research And Innovative Ideas In Education [Internet]. 2019 [Cited : 21 February 2019]; 5(1) : 666-672. Available from: http://ijariie.com/AdminUploadPdf/Sequential_Moore_Penrose_Inverse_Based_Extreme_Learning_Machine_with_Growth_of_Hidden_Nodes_ijariie9494.pdf
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