基于峰态的独立分量分析原理的研究
The Study on the Principle of Kurtosis Based ICA Method
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摘要: 对基于峰态绝对值最大化的ICA原理进行了详细分析,给出了该原理几何解释和适用范围。通过对采用该原理进行ICA问题求解过程的分析,阐明了ICA问题解的不确定性的产生原因,指出并解释了求解过程中表现出的一种概率特性。所得结论对于其它ICA方法也具有参考价值。
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关键词:
- 独立分量; ICA; 峰态; 几何解释
Abstract: The kurtosis based ICA approach is analyzed particularly and the geometrical explanation of this approach is presented in the paper. Furthermore, we elucidate the reasons of the indeterminacy of ICA solutions and explain the probability property by analyzing the process for finding out the ICA solutions. These analytic results and conclusions are also benefit to the study on other ICA methods. -
Hyvariene A, Oja E. Fast and robust fixed-point algorithms for independent component analysis[J].IEEE Trans. on Neural Networks.1999, 10(3):626-[2]Hyvariene A.[J].Karhunen J, Oja E. Independent Component Analysis [M]. New York: John Wiley Sons Inc.2001,:-[3]Hyvarinen A. Survey on independent component analysis[J].Neural Computing Surveys, 1999, 2:94 - 128.[4]Comon P. Independent component analysis: A new concept?[J].Signal Processing, 1994, 34(4): 287 - 314. -
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