### Abstract

A new theory is developed for the feature spaces of hyperbolic tangent used as an activation kernel for non-linear support vector machines. The theory developed herein is based on the distinct features of hyperbolic geometry, which leads to an interesting geometrical interpretation of the higher-dimensional feature spaces of neural networks using hyperbolic tangent as the activation function. The new theory is used to explain the separability of hyperbolic tangent kernels where we show that the separability is possible only for a certain class of hyperbolic kernels. Simulation results are given supporting the separability theory.

Original language | English |
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Title of host publication | Proceedings of the 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing |

Pages | 1021-1024 |

Number of pages | 4 |

DOIs | |

Publication status | Published - 1999 |

Event | 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing - Phoenix, United States Duration: 15 Mar 1999 → 19 Mar 1999 |

### Conference

Conference | 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing |
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Abbreviated title | ICASSP 99 |

Country | United States |

City | Phoenix |

Period | 15/03/99 → 19/03/99 |

### ASJC Scopus subject areas

- Signal Processing
- Electrical and Electronic Engineering
- Acoustics and Ultrasonics

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## Cite this

*Proceedings of the 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing*(pp. 1021-1024) https://doi.org/10.1109/ICASSP.1999.759878