npsm 새물리 New Physics : Sae Mulli

pISSN 0374-4914 eISSN 2289-0041
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Article

Research Paper

New Physics: Sae Mulli 2014; 64: 659-665

Published online June 30, 2014 https://doi.org/10.3938/NPSM.64.659

Copyright © New Physics: Sae Mulli.

Understanding Emergent Structures in a Feature Map Based on the Fiber Bundle Theory

Myoung Won CHO*

Department of Global Medical Science, Sungshin Women's University, Seoul 142-732, Korea

Correspondence to:

mwcho@sungshin.ac.kr

Received: May 16, 2014; Revised: June 25, 2014; Accepted: June 25, 2014

This is an open-access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The fiber bundle theory is the fundamental method applied to the geodesic in mathematics or the gauge theory in physics. The theory could be applied as a useful method to understand and predict the emergent structures of a feature map, such as a visual map, in the brain. We introduce how the peculiar concepts in the fiber bundle theory or the gauge theory, such as the section and matter field, correspond with the attributes of a feature map, in the brain. Also, we show that the typical properties of an orientation preference map in the primary visual cortex can be explained through only the topological properties of the system.

Keywords: Neural networks, Structure of complex systems, Fiber bundle theory, Gauge theory

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