Robust sparse component analysis based on a generalized Hough transform

Theis, Fabian J. and Georgiev, Pando and Cichocki, Andrzej (2007) Robust sparse component analysis based on a generalized Hough transform. EURASIP JOURNAL ON ADVANCES IN SIGNAL PROCESSING: 52105. ISSN 1687-6180,

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Abstract

An algorithm called Hough SCA is presented for recovering the matrix A in x(t) = As(t), where x(t) is a multivariate observed signal, possibly is of lower dimension than the unknown sources s(t). They are assumed to be sparse in the sense that at every time instant t, s(t) has fewer nonzero elements than the dimension of x(t). The presented algorithm performs a global search for hyperplane clusters within the mixture space by gathering possible hyperplane parameters within a Hough accumulator tensor. This renders the algorithm immune to the many local minima typically exhibited by the corresponding cost function. In contrast to previous approaches, Hough SCA is linear in the sample number and independent of the source dimension as well as robust against noise and outliers. Experiments demonstrate the flexibility of the proposed algorithm. Copyright (C) 2007 Fabian J. Theis et al.

Item Type: Article
Uncontrolled Keywords: BLIND SOURCE SEPARATION; DECOMPOSITION; MIXTURES;
Subjects: 500 Science > 570 Life sciences
Divisions: Biology, Preclinical Medicine > Institut für Biophysik und physikalische Biochemie > Prof. Dr. Elmar Lang > Arbeitsgruppe Dr. Fabian Theis
Depositing User: Dr. Gernot Deinzer
Date Deposited: 12 Jan 2021 07:16
Last Modified: 12 Jan 2021 07:16
URI: https://pred.uni-regensburg.de/id/eprint/33409

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