A Cortical Interpretation of ASSOMs

N. Mayer; M. Herrmann; H.-U. Bauer; T. Geisel

doi:10.1007/978-1-4471-1599-1_150

A Cortical Interpretation of ASSOMs

N. Mayer, M. Herrmann, H.-U. Bauer, T. Geisel

School of Informatics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Self-organizing maps have been successfully used to model map formation in the visual cortex of mammals. When applying natural images as stimuli, properties of the maps obtained for low-dimensional input manifolds, such as retinotopy, are not equally well reproducible. The present study points to the virtues of the adaptive subspace self-organizing map (ASSOM) in modeling neural maps. Since the representation of position and orientation and that of stimulus phase are automatically mapped to different hierarchical levels of the ASSOM, topography is established for orientation and position, but not for phases. This agrees to evidence for the absence of smooth phase maps. Further, we show that some biologically implausible conditions of the ASSOM rule can be relaxed.

Original language	English
Title of host publication	ICANN 98
Subtitle of host publication	Proceedings of the 8th International Conference on Artificial Neural Networks, Skövde, Sweden, 2–4 September 1998
Editors	Lars Niklasson, Mikael Bodén, Tom Ziemke
Place of Publication	London
Publisher	Springer
Pages	961-966
Number of pages	6
ISBN (Electronic)	978-1-4471-1599-1
ISBN (Print)	978-3-540-76263-8
DOIs	https://doi.org/10.1007/978-1-4471-1599-1_150
Publication status	Published - 1998

Publication series

Name	Perspectives in Neural Computing
Publisher	Springer London
ISSN (Print)	1431-6854

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10.1007/978-1-4471-1599-1_150

http://link.springer.com/chapter/10.1007%2F978-1-4471-1599-1_150

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Mayer, N., Herrmann, M., Bauer, H.-U., & Geisel, T. (1998). A Cortical Interpretation of ASSOMs. In L. Niklasson, M. Bodén, & T. Ziemke (Eds.), ICANN 98: Proceedings of the 8th International Conference on Artificial Neural Networks, Skövde, Sweden, 2–4 September 1998 (pp. 961-966). (Perspectives in Neural Computing). Springer. https://doi.org/10.1007/978-1-4471-1599-1_150

@inproceedings{a35fb122d7084e209813157661ea9ebb,

title = "A Cortical Interpretation of ASSOMs",

abstract = "Self-organizing maps have been successfully used to model map formation in the visual cortex of mammals. When applying natural images as stimuli, properties of the maps obtained for low-dimensional input manifolds, such as retinotopy, are not equally well reproducible. The present study points to the virtues of the adaptive subspace self-organizing map (ASSOM) in modeling neural maps. Since the representation of position and orientation and that of stimulus phase are automatically mapped to different hierarchical levels of the ASSOM, topography is established for orientation and position, but not for phases. This agrees to evidence for the absence of smooth phase maps. Further, we show that some biologically implausible conditions of the ASSOM rule can be relaxed.",

author = "N. Mayer and M. Herrmann and H.-U. Bauer and T. Geisel",

year = "1998",

doi = "10.1007/978-1-4471-1599-1\_150",

language = "English",

isbn = "978-3-540-76263-8",

series = "Perspectives in Neural Computing",

publisher = "Springer",

pages = "961--966",

editor = "Lars Niklasson and Mikael Bod{\'e}n and Tom Ziemke",

booktitle = "ICANN 98",

address = "United Kingdom",

}

Mayer, N, Herrmann, M, Bauer, H-U & Geisel, T 1998, A Cortical Interpretation of ASSOMs. in L Niklasson, M Bodén & T Ziemke (eds), ICANN 98: Proceedings of the 8th International Conference on Artificial Neural Networks, Skövde, Sweden, 2–4 September 1998. Perspectives in Neural Computing, Springer, London, pp. 961-966. https://doi.org/10.1007/978-1-4471-1599-1_150

A Cortical Interpretation of ASSOMs. / Mayer, N.; Herrmann, M.; Bauer, H.-U. et al.
ICANN 98: Proceedings of the 8th International Conference on Artificial Neural Networks, Skövde, Sweden, 2–4 September 1998. ed. / Lars Niklasson; Mikael Bodén; Tom Ziemke. London: Springer, 1998. p. 961-966 (Perspectives in Neural Computing).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - A Cortical Interpretation of ASSOMs

AU - Mayer, N.

AU - Herrmann, M.

AU - Bauer, H.-U.

AU - Geisel, T.

PY - 1998

Y1 - 1998

N2 - Self-organizing maps have been successfully used to model map formation in the visual cortex of mammals. When applying natural images as stimuli, properties of the maps obtained for low-dimensional input manifolds, such as retinotopy, are not equally well reproducible. The present study points to the virtues of the adaptive subspace self-organizing map (ASSOM) in modeling neural maps. Since the representation of position and orientation and that of stimulus phase are automatically mapped to different hierarchical levels of the ASSOM, topography is established for orientation and position, but not for phases. This agrees to evidence for the absence of smooth phase maps. Further, we show that some biologically implausible conditions of the ASSOM rule can be relaxed.

AB - Self-organizing maps have been successfully used to model map formation in the visual cortex of mammals. When applying natural images as stimuli, properties of the maps obtained for low-dimensional input manifolds, such as retinotopy, are not equally well reproducible. The present study points to the virtues of the adaptive subspace self-organizing map (ASSOM) in modeling neural maps. Since the representation of position and orientation and that of stimulus phase are automatically mapped to different hierarchical levels of the ASSOM, topography is established for orientation and position, but not for phases. This agrees to evidence for the absence of smooth phase maps. Further, we show that some biologically implausible conditions of the ASSOM rule can be relaxed.

U2 - 10.1007/978-1-4471-1599-1_150

DO - 10.1007/978-1-4471-1599-1_150

M3 - Conference contribution

SN - 978-3-540-76263-8

T3 - Perspectives in Neural Computing

SP - 961

EP - 966

BT - ICANN 98

A2 - Niklasson, Lars

A2 - Bodén, Mikael

A2 - Ziemke, Tom

PB - Springer

CY - London

ER -

A Cortical Interpretation of ASSOMs

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