Symplectic neural networks in Taylor series form for Hamiltonian systems

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110325 ◽

2021 ◽

Vol 437 ◽

pp. 110325

Author(s):

Yunjin Tong ◽

Shiying Xiong ◽

Xingzhe He ◽

Guanghan Pan ◽

Bo Zhu

Keyword(s):

Neural Networks ◽

Hamiltonian Systems ◽

Taylor Series ◽

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A Taylor series approach to the robust parameter design of computer simulations using kriging and radial basis function neural networks

International Journal of Quality Engineering and Technology ◽

10.1504/ijqet.2017.088860 ◽

2017 ◽

Vol 6 (3) ◽

pp. 137 ◽

Author(s):

Joseph P. Bellucci ◽

Kenneth W. Bauer <suffix>Jr.</suffix>

Keyword(s):

Neural Networks ◽

Radial Basis Function ◽

Computer Simulations ◽

Taylor Series ◽

Basis Function ◽

Parameter Design ◽

Robust Parameter Design ◽

Radial Basis ◽

Robust Parameter

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Noise adaptive front-end normalization based on Vector Taylor Series for Deep Neural Networks in robust speech recognition

2013 IEEE International Conference on Acoustics, Speech and Signal Processing ◽

10.1109/icassp.2013.6639102 ◽

2013 ◽

Author(s):

Bo Li ◽

Khe Chai Sim

Keyword(s):

Neural Networks ◽

Speech Recognition ◽

Taylor Series ◽

Deep Neural Networks ◽

Robust Speech Recognition ◽

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Synchronization of Chaotic Neural Networks: A Generalized Hamiltonian Systems Approach

Hybrid Intelligent Systems - Studies in Fuzziness and Soft Computing ◽

10.1007/978-3-540-37421-3_4 ◽

2007 ◽

pp. 59-73

Author(s):

C. Posadas-Castillo ◽

C. Cruz-Hernández ◽

D. López-Mancilla

Keyword(s):

Neural Networks ◽

Hamiltonian Systems ◽

Systems Approach ◽

Chaotic Neural Networks

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A Study on Neural Networks Using Taylor Series Expansion of Sigmoid Activation Function

Computational Science and Its Applications – ICCSA 2004 - Lecture Notes in Computer Science ◽

10.1007/978-3-540-24768-5_41 ◽

2004 ◽

pp. 389-397 ◽

Author(s):

Fevzullah Temurtas ◽

Ali Gulbag ◽

Nejat Yumusak

Keyword(s):

Neural Networks ◽

Series Expansion ◽

Taylor Series ◽

Taylor Series Expansion ◽

Activation Function ◽

Sigmoid Activation Function

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Learning functions and their derivatives using Taylor series and neural networks

IJCNN'99. International Joint Conference on Neural Networks. Proceedings (Cat. No.99CH36339) ◽

10.1109/ijcnn.1999.831529 ◽

2003 ◽

Author(s):

T. Hanselmann ◽

A. Zaknich ◽

Y. Attikiouzel

Keyword(s):

Neural Networks ◽

Taylor Series ◽

Learning Functions

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Learning Hamiltonian Systems considering System Symmetries in Neural Networks

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2021.11.080 ◽

2021 ◽

Vol 54 (19) ◽

pp. 210-216

Author(s):

Eva Dierkes ◽

Kathrin Flaßkamp

Keyword(s):

Neural Networks ◽

Hamiltonian Systems

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A Taylor series approach to the robust parameter design of computer simulations using kriging and radial basis function neural networks

International Journal of Quality Engineering and Technology ◽

10.1504/ijqet.2017.10009787 ◽

2017 ◽

Vol 6 (3) ◽

pp. 137

Author(s):

Kenneth W. Bauer <suffix>Jr.</suffix> ◽

Joseph P. Bellucci

Keyword(s):

Neural Networks ◽

Radial Basis Function ◽

Computer Simulations ◽

Taylor Series ◽

Basis Function ◽

Parameter Design ◽

Robust Parameter Design ◽

Radial Basis ◽

Robust Parameter

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New neural networks based on Taylor series and their research

2009 2nd IEEE International Conference on Computer Science and Information Technology ◽

10.1109/iccsit.2009.5234726 ◽

2009 ◽

Author(s):

Xiaoyun Chen ◽

Qiang Ma ◽

Talal Alkharobi

Keyword(s):

Neural Networks ◽

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Determination of S-N curves with the application of artificial neural networks

Fatigue & Fracture of Engineering Materials & Structures ◽

10.1046/j.1460-2695.1999.00198.x ◽

1999 ◽

Vol 22 (8) ◽

pp. 723-728 ◽

Author(s):

Artymiak ◽

Bukowski ◽

Feliks ◽

Narberhaus ◽

Zenner

Keyword(s):

Neural Networks ◽

Artificial Neural Networks ◽

Artificial Neural

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Review of Pattern Recognition by Self-Organizing Neural Networks.

Contemporary Psychology ◽

10.1037/004153 ◽

1995 ◽

Vol 40 (11) ◽

pp. 1110-1110

Author(s):

Stephen James Thomas

Keyword(s):

Neural Networks ◽

Pattern Recognition ◽

Self Organizing

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