Please use this identifier to cite or link to this item:
https://doi.org/10.1109/TNN.2008.2009535
Title: | Analysis of continuous attractors for 2-D linear threshold neural networks | Authors: | Zou, L. Tang, H. Tan, K.C. Zhang, W. |
Keywords: | Continuous attractor Degenerate equilibria Linear threshold (LT) network Multistable neural network Singular line |
Issue Date: | 2009 | Citation: | Zou, L., Tang, H., Tan, K.C., Zhang, W. (2009). Analysis of continuous attractors for 2-D linear threshold neural networks. IEEE Transactions on Neural Networks 20 (1) : 175-180. ScholarBank@NUS Repository. https://doi.org/10.1109/TNN.2008.2009535 | Abstract: | This brief investigates continuous attractors of the well-developed model in visual cortex, i.e., the linear threshold (LT) neural networks, based on a parameterized 2-D model. On the basis of existing results on nondegenerate equilibria in mathematics, we further discuss degenerate equilibria for such networks and present properties and distributions of the equilibria, which enables us to draw the coexistence conditions of nondegenerate and degenerate equilibria (e.g., singular lines). Our theoretical results provide a useful framework for precise tuning on the network parameters, e.g., the feedbacks and visual inputs. Simulations are also presented to illustrate the theoretical findings. © 2008 IEEE. | Source Title: | IEEE Transactions on Neural Networks | URI: | http://scholarbank.nus.edu.sg/handle/10635/81962 | ISSN: | 10459227 | DOI: | 10.1109/TNN.2008.2009535 |
Appears in Collections: | Staff Publications |
Show full item record
Files in This Item:
There are no files associated with this item.
SCOPUSTM
Citations
13
checked on Jan 30, 2023
WEB OF SCIENCETM
Citations
13
checked on Jan 30, 2023
Page view(s)
204
checked on Jan 26, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.