Improvement of ICA based probability density estimation for pattern recognition

Probability density function (PDF) estimation is a fundamentally important problem for statistical pattern recognition. Independent Component Analysis (ICA) can be applied to the feature vectors so that the PDF estimation of a high dimensional vector can be converted to the PDF estimation of several 1-dimensional variables. But in practice we find that this PDF is in poor generalization ability for pattern classification because of the implied noise. So this paper proposes an improvement of ICA based PDF estimation method. A latent variable model is built to separate the noise from the feature vector so that the pattern information and the noise can be dealt with respectively. Based on the latent variable model, a modified ICA based PDF is deduced. The validity of our proposed method is demonstrated by the experiments of off-line handwritten numeral recognition.