Presentation | 2012-12-12 Learning of Mahalanobis discriminant functions by a neural network : For non-normally distributed signals Hiroyuki Izumi, Yoshifusa Ito, Cidambi Srinivasan, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | Generally known is that a posterior probability and its monotone transform can be used as Bayesian discriminant functions and a neural network can learn the posterior probability. In the two-category normal-distribution case, a shift of the logit transform of the posterior probability can be used as a Mahalanobis discriminant function. The size of the shift can be estimated by the network having learned the posterior probability. In this paper we show, with simulations, that the Mahalanobis discriminant function can be obtained in such a way in the two-category non-normal-distribution case. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Neural network / Mahalanobis / Bayesian / discriminant function / non-normal distribution |
Paper # | NC2012-90 |
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Committee | NC |
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Conference Date | 2012/12/5(1days) |
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Registration To | Neurocomputing (NC) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | Learning of Mahalanobis discriminant functions by a neural network : For non-normally distributed signals |
Sub Title (in English) | |
Keyword(1) | Neural network |
Keyword(2) | Mahalanobis |
Keyword(3) | Bayesian |
Keyword(4) | discriminant function |
Keyword(5) | non-normal distribution |
1st Author's Name | Hiroyuki Izumi |
1st Author's Affiliation | Aichi Gakuin University() |
2nd Author's Name | Yoshifusa Ito |
2nd Author's Affiliation | Aichi Medical University |
3rd Author's Name | Cidambi Srinivasan |
3rd Author's Affiliation | University of Kentucky |
Date | 2012-12-12 |
Paper # | NC2012-90 |
Volume (vol) | vol.112 |
Number (no) | 345 |
Page | pp.pp.- |
#Pages | 6 |
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