4.3 Article

Quaternion softmax classifier

Journal

ELECTRONICS LETTERS
Volume 50, Issue 25, Pages 1929-1930

Publisher

INST ENGINEERING TECHNOLOGY-IET
DOI: 10.1049/el.2014.2526

Keywords

-

Funding

  1. National Basic Research Program of China [2011CB707904]
  2. NSFC [61201344, 61271312, 11301074]
  3. SRFDP [20110092110023, 20120092120036]
  4. SRF for ROCS, SEM
  5. Natural Science Foundation of Jiangsu Province [BK2012329]
  6. Qing Lan Project

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For the feature extraction of red-blue-green (RGB) colour images, researchers usually deal with R, G and B channels separately to obtain three feature vectors, and then combine them together to obtain a long real feature vector. This approach does not exploit the relationships between the three channels of the colour images. Recently, attention has been paid to quaternion features, which take the relationships between channels into consideration and seem to be more suitable for representing colour images. However, there are only a few quaternion classifiers for dealing with quaternion features. To meet this requirement, a new quaternion classifier, namely, the quaternion softmax classifier is proposed, which is an extended version of the conventional softmax classifier generally defined in the complex (or real) domain. The proposed quaternion softmax classifier is applied to two of the most common quaternion features, that is, the quaternion principal components analysis feature and the colour image pixel feature. The experimental results show that the proposed method performs better than the quaternion back propagation neural network in terms of accuracy and convergence rate.

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