Topographic independent component analysis
Topographic independent component analysis
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DOI：
10.1162/089976601750264992
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发表时间：
2001-07-01
影响因子：
2.9
通讯作者：
Inki, M
中科院分区：
文献类型：
--
作者：
Hyvärinen, A;Hoyer, PO;Inki, M
在普通的独立分量分析中，假设分量是完全独立的，它们不一定有任何有意义的顺序关系。然而，在实践中，估计的“独立”分量往往根本不是独立的。我们建议，这种剩余的依赖结构可以用来定义一个拓扑顺序的组件。特别是，两个分量之间的距离可以使用它们的高阶相关性来定义，并且该距离可以用于创建地形表示。因此，我们得到一个线性分解成近似独立的组件，其中两个组件的依赖性近似的组件在地形表示的接近。
In ordinary independent component analysis, the components are assumed to be completely independent, and they do not necessarily have any meaningful order relationships. In practice, however, the estimated "independent" components are often not at all independent. We propose that this residual dependence structure could be used to define a topographic order for the components. In particular, a distance between two components could be defined using their higher-order correlations, and this distance could be used to create a topographic representation. Thus, we obtain a linear decomposition into approximately independent components, where the dependence of two components is approximated by the proximity of the components in the topographic representation.