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Optimal Spherical Separability: Artificial Neural Networks

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10305))

Abstract

In this research paper, the concept of hyper-spherical/hyper-ellipsoidal separability is introduced. Method of arriving at the optimal hypersphere (maximizing margin) separating two classes is discussed. By projecting the quantized patterns into higher dimensional space (as in encoders of error correcting code), the patterns are made hyper-spherically separable. Single/multiple layers of spherical/ellipsoidal neurons are proposed for multi-class classification. An associative memory based on hyper-ellipsoidal neuron is proposed.

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Correspondence to Rama Murthy Garimella .

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Garimella, R.M., Yaparla, G., Singh, R.P. (2017). Optimal Spherical Separability: Artificial Neural Networks. In: Rojas, I., Joya, G., Catala, A. (eds) Advances in Computational Intelligence. IWANN 2017. Lecture Notes in Computer Science(), vol 10305. Springer, Cham. https://doi.org/10.1007/978-3-319-59153-7_29

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  • DOI: https://doi.org/10.1007/978-3-319-59153-7_29

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59152-0

  • Online ISBN: 978-3-319-59153-7

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