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Feature space Gaussianization

We propose a non-linear feature space transformation for speaker/environment adaptation which forces the individual dimensions of the acoustic data for every speaker to be Gaussian distributed. The transformation is given by the preimage under the Gaussian cumulative distribution function (CDF) of the empirical CDF on a per dimension basis. We show that, for a given dimension, this transformation achieves minimum divergence between the density function of the transformed adaptation data and the normal density with zero mean and unit variance. Experimental results on both small and large vocabulary tasks show consistent improvements over the application of linear adaptation transforms only.