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Title: Fast learning Circular Complex-valued Extreme Learning Machine (CC-ELM) for real-valued classification problems
Authors: Suresh, Sundaram
Sundararajan, Narasimhan
Savitha, R.
Issue Date: 2011
Source: Savitha, R., Suresh, S., & Sundararajan, N. (2011). Fast learning Circular Complex-valued Extreme Learning Machine (CC-ELM) for real-valued classification problems. Information sciences, 187, 277–290.
Series/Report no.: Information sciences
Abstract: In this paper, we present a fast learning fully complex-valued extreme learning machine classifier, referred to as ‘Circular Complex-valued Extreme Learning Machine (CC-ELM)’ for handling real-valued classification problems. CC-ELM is a single hidden layer network with non-linear input and hidden layers and a linear output layer. A circular transformation with a translational/rotational bias term that performs a one-to-one transformation of real-valued features to the complex plane is used as an activation function for the input neurons. The neurons in the hidden layer employ a fully complex-valued Gaussian-like (‘sech’) activation function. The input parameters of CC-ELM are chosen randomly and the output weights are computed analytically. This paper also presents an analytical proof to show that the decision boundaries of a single complex-valued neuron at the hidden and output layers of CC-ELM consist of two hyper-surfaces that intersect orthogonally. These orthogonal boundaries and the input circular transformation help CC-ELM to perform real-valued classification tasks efficiently. Performance of CC-ELM is evaluated using a set of benchmark real-valued classification problems from the University of California, Irvine machine learning repository. Finally, the performance of CC-ELM is compared with existing methods on two practical problems, viz., the acoustic emission signal classification problem and a mammogram classification problem. These study results show that CC-ELM performs better than other existing (both) real-valued and complex-valued classifiers, especially when the data sets are highly unbalanced.
DOI: 10.1016/j.ins.2011.11.003
Fulltext Permission: none
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