Spontaneous symmetry breaking and the formation of columnar structures in the primary visual cortex II --- Local organization of orientation modules
| dc.creator | Yamagishi, Kengo | |
| dc.date | 1996-11-05 | |
| dc.date.accessioned | 2026-07-07T09:05:35Z | |
| dc.date.available | 2026-07-07T09:05:35Z | |
| dc.description | Self-organization of orientation-wheels observed in the visual cortex is discussed from the view point of topology. We argue in a generalized model of Kohonen's feature mappings that the existence of the orientation-wheels is a consequence of Riemann-Hurwitz formula from topology. In the same line, we estimate partition function of the model, and show that regardless of the total number N of the orientation-modules per hypercolumn the modules are self-organized, without fine-tuning of parameters, into definite number of orientation-wheels per hypercolumn if N is large. | |
| dc.description | 36 pages Latex2.09 and eps figures. Needs epsf.sty, amssym.def, and Type1 TeX-fonts of BlueSky Res. for correct typo in graphics files | |
| dc.identifier | https://arxiv.org/abs/adap-org/9611002 | |
| dc.identifier | http://arxiv.org/abs/adap-org/9611002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149724 | |
| dc.subject | Adaptation and Self-Organizing Systems | |
| dc.title | Spontaneous symmetry breaking and the formation of columnar structures in the primary visual cortex II --- Local organization of orientation modules | |
| dc.type | text |