A NOVEL ENTROPY ESTIMATOR AND ITS APPLICATION TO leA

Tiilay Adali · 2009

We present a new (differential) entropy estimator where the maximum entropy bound is used to approximate the entropy given the observations, and is computed using a numerical procedure. The resulting accurate estimate for the entropy is used to derive a new algorithm to perform independent com­ ponent analysis (ICA). The new algorithm, ICA by entropy bound minimization (ICA-EBM), adopts a line search pro­ cedure, and initially uses updates that constrain the demix­ ing matrix to be orthogonal for robust performance. We present simulation results that demonstrate the superior per­ formance of ICA-EBM and its ability to match sources that come from a wide range of distributions.

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