Presentation	2001/6/21 A Mathematical Analysis of a Correlation Based Model for the Orientation Map Formation Tadashi Yamazaki,
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Abstract(in English)	We consider a correlation based model for the orientation map formation proposed by Miller and study the formation mathematically. We perform the Fourier transform of the model and we observe that the model has the following properties. (1) It develops oriented receptive fields; (2) These oriented receptive fields are arranged in order, and ordered orientation columns are developed; (3) The periodicity of orientations on the cortical surface essentially lacks; (4) The periodicity of phases appears; (5) Singular points appear irregularly on the cortical surface. Our analytical results are justified by computer simulations.
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Keyword(in English)	Orientation Map Formation / Self Organization / Correlation Based Model / Mathematical Analysis
Paper #	NC2001-11
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Conference Information
Committee	NC
Conference Date	2001/6/21(1days)
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Registration To	Neurocomputing (NC)
Language	ENG
Title (in Japanese)	(See Japanese page)
Sub Title (in Japanese)	(See Japanese page)
Title (in English)	A Mathematical Analysis of a Correlation Based Model for the Orientation Map Formation
Sub Title (in English)
Keyword(1)	Orientation Map Formation
Keyword(2)	Self Organization
Keyword(3)	Correlation Based Model
Keyword(4)	Mathematical Analysis
1st Author's Name	Tadashi Yamazaki
1st Author's Affiliation	Department of Mathematical and Computing Sciences, Tokyo Institute of Technology()
Date	2001/6/21
Paper #	NC2001-11
Volume (vol)	vol.101
Number (no)	153
Page	pp.pp.-
#Pages	6
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