A mathematical analysis of the development of oriented receptive fields in Linsker's model

Neural Networks

Volumn 15, Issue 2, 2002, Pages 201-207

  Yamazaki, Tadashi ^a  

^a TOKYO INSTITUTE OF TECHNOLOGY   (Japan)

Author keywords

Arbor function; Correlation based model; Development; Linsker; Mathematical analysis; Mexican hat correlation function; Oriented receptive field; Self organization

Indexed keywords

CORRELATION THEORY; RECEPTION QUALITY;

SPATIAL FREQUENCY;

NEURAL NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; CORRELATION FUNCTION; COVARIANCE; DEPTH PERCEPTION; HUMAN; MATHEMATICAL MODEL; PRIORITY JOURNAL;

FOURIER ANALYSIS; MODELS, BIOLOGICAL; MODELS, THEORETICAL; NEURAL NETWORKS (COMPUTER); ORIENTATION; VISUAL FIELDS;

EID: 0036198236     PISSN: 08936080     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0893-6080(01)00148-4     Document Type: Article

References (10)

1. Linsker-type Hebbian learning: A qualitative analysis on the parameter space
2. Spontaneous symmetry-breaking energy functions and the emergence of orientation selective cortical cells
3. From basic network principles to neural architecture: Emergence of spatial-opponent cells
4. From basic network principles to neural architecture: Emergence of orientation-selective cells
5. From basic network principles to neural architecture: Emergence of orientation columns
6. Self-organization in a perceptual system: How network models and information theory may shed light on neural organization
7. Analysis of Linsker's application of Hebbian rules to linear networks
8. A model for the development of simple cell receptive fields and the ordered arrangement of orientation columns through activity-dependent competition between ON- and OFF-center inputs
9. A mathematical model for the self-organization of orientation columns in visual cortex
10. Information-theoretic solutions to early visual information processing: Analytic results