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International Conference on Natural Computation

ICNC 2006: Advances in Natural Computation pp 89–92Cite as

Research on Stereographic Projection and It’s Application on Feed Forward Neural Network

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4221))

Abstract

Feed forward neural network for classification instantly requires that the modular length of input vector is 1. On the other hand, Stereographic projection can map a point in n dimensional real space into the surface of unit sphere in (n+1) dimensional real space. Because the modular length of any point in the unit sphere of (n+1) dimensional real surface is 1 and stereographic projection is a bijective mapping, Stereographic projection can be treated as an implementation for the normalization of vector in n dimensional real space. Experimental results shown that feed forward neural network can classify data instantly and accurately if stereographic projection is used to normalized input vector for feed forward network.

This paper was supported in part by "the Science Research Fund of MOE-Microsoft Key Laboratory of Multimedia Computing and Communication (Grant No.05071807)" and postdoc’s research fund of Anhui Institute of Architecture&Industry.

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Author information

Authors and Affiliations

  1. Institute of Architecture & Industry (AIAI), Computer and Information Engineering Department of Anhui, 230022, Hefei, China

    Zhenya Zhang

  2. Management Engineering Department of AIAI, 230022, Hefei, China

    Hongmei Cheng

  3. MOE-Microsoft Key Laboratory of Multimedia Computing and Communication, University of Science and Technology of China (USTC), 230027, Hefei, China

    Zhenya Zhang

  4. Computer Science Department of USTC, 230027, Hefei, China

    Xufa Wang

Authors
  1. Zhenya Zhang
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  2. Hongmei Cheng
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  3. Xufa Wang
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Editor information

Editors and Affiliations

  1. Life Science Research Center, School of Electronic Engineering, Xidian University, 710071, Xi’an, Shaanxi, China

    Licheng Jiao

  2. School of Electrical and Electronic Engineering, Nanyang Technological University, Block S1, Nanyang Avenue, 639798, Singapore

    Lipo Wang

  3. School of Electronic Engineering, Xidian Univ., 710071, Xi’an, P.R. China

    Xin-bo Gao

  4. College of Mathematics and Information Science, Hebei Normal University, 050016, Shijiazhuang, Hebei, P.R. China

    Jing Liu

  5. Multi-Agent Systems Lab,Department of Computer Science, University of Science and Technology of China, 230026, Hefei, China

    Feng Wu

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© 2006 Springer-Verlag Berlin Heidelberg

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Cite this paper

Zhang, Z., Cheng, H., Wang, X. (2006). Research on Stereographic Projection and It’s Application on Feed Forward Neural Network. In: Jiao, L., Wang, L., Gao, Xb., Liu, J., Wu, F. (eds) Advances in Natural Computation. ICNC 2006. Lecture Notes in Computer Science, vol 4221. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11881070_14

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  • DOI: https://doi.org/10.1007/11881070_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45901-9

  • Online ISBN: 978-3-540-45902-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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