Stochastic Neural Networks: Implementation of Stochastic Neural Network for Approximating Random Processes - Softcover

Ling, Hong

Softcover

ISBN 10: 3838300882 ISBN 13: 9783838300887

Publisher: LAP LAMBERT Academic Publishing, 2009

Synopsis

Artificial Neural Networks can be viewed as a mathematical model to simulate natural and biological systems on the basis of mimicking the information processing methods in the human brain. The capability of current ANNs only focuses on approximating arbitrary deterministic input-output mappings. However, these ANNs do not adequately represent the variability which is observed in the systems’ natural settings as well as capture the complexity of the whole system behaviour. This thesis addresses the development of a new class of neural networks called Stochastic Neural Networks in order to simulate internal stochastic properties of systems. Developing a suitable mathematical model for SNNs is based on canonical representation of stochastic processes or systems by means of Karhunen-Loève Theorem. Some successful real examples, such as analysis of full displacement field of wood in compression, confirm the validity of the proposed neural networks. Furthermore, analysis of internal workings of SNNs provides an in- depth view on the operation of SNNs that help to gain a better understanding of the simulation of stochastic processes by SNNs.

About this title

About the Author

Hong Ling completed her Master of Applied Computing in Neural Networks from Lincoln University, New Zealand in 2007. She is currently a PhD candidate at Lincoln University. Her research interests include neural networks, stochastic systems and mathematical modeling to solve real-world problems in biological and natural systems.

Edition details

• Publisher: LAP LAMBERT Academic Publishing
• Publication date: 2009
• Language: English
• ISBN 10: 3838300882
• ISBN 13: 9783838300887
• Binding: Paperback
• Number of pages: 116