Fundamentals of statistical signal processing: estimation theory
Fundamentals of statistical signal processing: estimation theory
Independent component analysis, a new concept?
Signal Processing - Special issue on higher order statistics
Separating a Real-Life Nonlinear Image Mixture
The Journal of Machine Learning Research
International Journal on Document Analysis and Recognition
Blind separation of linear-quadratic mixtures of real sources using a recurrent structure
IWANN '03 Proceedings of the 7th International Work-Conference on Artificial and Natural Neural Networks: Part II: Artificial Neural Nets Problem Solving Methods
Source separation in post-nonlinear mixtures
IEEE Transactions on Signal Processing
IEEE Transactions on Signal Processing
Show-through cancellation in scans of duplex printed documents
IEEE Transactions on Image Processing
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In this work, we propose a Bayesian source separation method of linear-quadratic (LQ) and linear mixtures. Since our method relies on truncated prior distributions, it is particularly useful when the bounds of the sources and of the mixing coefficients are known in advance; this is the case, for instance, in non-negative matrix factorization. To implement our idea, we consider a Gibbs' sampler equipped with latent variables, which are set to simplify the sampling steps. Experiments with synthetic data point out that the new proposal performs well in situations where classical ICA-based solutions fail to separate the sources. Moreover, in order to illustrate the application of our method to actual data, we consider the problem of separating scanned images.