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Multi-component Analysis: Blind Extraction of Pure Components Mass Spectra using Sparse Component Analysis

Kopriva, Ivica; Jerić, Ivanka (2009) Multi-component Analysis: Blind Extraction of Pure Components Mass Spectra using Sparse Component Analysis. Journal of Mass Spectrometry, 44 (9). pp. 1378-1388. ISSN 1076-5174

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Abstract

The paper presents sparse component analysis (SCA)-based blind decomposition of the mixtures of mass spectra into pure components, wherein the number of mixtures is less than number of pure components. Standard solutions of the related blind source separation (BSS) problem that are published in the open literature require the number of mixtures to be greater than or equal to the unknown number of pure components. Specifically, we have demonstrated experimentally the capability of the SCA to blindly extract five pure components mass spectra from two mixtures only. Two approaches to SCA are tested: the first one based on norm minimization implemented through linear programming and the second one implemented through multilayer hierarchical alternating least square nonnegative matrix factorization with sparseness constraints imposed on pure components spectra. In contrast to many existing blind decomposition methods no a priori information about the number of pure components is required. It is estimated from the mixtures using robust data clustering algorithm together with pure components concentration matrix. Proposed methodology can be implemented as a part of software packages used for the analysis of mass spectra and identification of chemical compounds.

Item Type: Article
Additional Information: This is the peer reviewed version of the following article: Multi-component Analysis: Blind Extraction of Pure Components Mass Spectra using Sparse Component Analysis, which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/jms.1627/full. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
Uncontrolled Keywords: mass spectrometry; chemometrics; blind source separation; sparse component analysis; nonnegative matrix factorization
Subjects: NATURAL SCIENCES > Mathematics > Applied Mathematics and Mathematical Modeling
NATURAL SCIENCES > Chemistry > Analytic Chemistry
TECHNICAL SCIENCES > Computing > Data Processing
Divisions: Division of Laser and Atomic Research and Development
Division of Organic Chemistry and Biochemistry
Projects:
Project titleProject leaderProject codeProject type
Multispectral data analysis (Analiza višespektralih podataka)-Ivica Kopriva098-0982903-2558MZOS
Chemical transformations of natural compounds (Kemijske preobrazbe prirodnih spojeva)-Lidija Varga-Defterdarović098-0982933-2936MZOS
Depositing User: Ivica Kopriva
Date Deposited: 04 Dec 2015 08:42
Last Modified: 04 Dec 2015 08:42
URI: http://fulir.irb.hr/id/eprint/2379
DOI: 10.10002/jms.1627

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