Theoretical Studies and Algorithms Regarding the Solution of Non-invertible Nonlinear Source Separation

Abstract : In this paper, we analyse and solve a source separation problem based on a mixing model that is nonlinear and non-invertible at the space of mixtures. The model is relevant considering it may represent the data obtained from ion-selective electrode arrays. We apply a new approach for solving the problems of local stability of the recurrent network previously used in the literature, which allows for a wider range of source concentration. In order to achieve this, we utilize a second-order recurrent network which can be shown to be locally stable for all solutions. Using this new network and the priors that chemical sources are continuous and smooth, our proposal performs better than the previous approach.
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Submitted on : Thursday, October 15, 2015 - 4:17:25 PM
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David Felice, Rafael Ando, Leonardo Tomazeli Duarte, Christian Jutten, R Attux. Theoretical Studies and Algorithms Regarding the Solution of Non-invertible Nonlinear Source Separation. 12th International Conference on Latent Variable Analysis and Signal Separation (LVA/ICA 2015), Aug 2015, Liberec, Czech Republic. ⟨10.1007/978-3-319-22482-4_36⟩. ⟨hal-01216141⟩

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