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          Institute: MPI für Dynamik und Selbstorganisation     Collection: Nichtlineare Dynamik     Display Documents



ID: 576070.0, MPI für Dynamik und Selbstorganisation / Nichtlineare Dynamik
An ISA Algorithm With Unknown Group Sizes Identifies Meaningful Clusters in Metabolomics Data
Authors:Gutch, Harold; Krumsiek, Jan; Theis, Fabian
Language:English
Date of Publication (YYYY-MM-DD):2011
Title of Proceedings:Proceedings of the European Signal Processing Conference
Start Page:1733
End Page:1733
Name of Conference/Meeting:2011 European Signal Processing Conference (EUSIPCO‐2011)
Place of Conference/Meeting:Barcelona, Spain
(Start) Date of Conference/Meeting
 (YYYY-MM-DD):
2011-08-29
End Date of Conference/Meeting 
 (YYYY-MM-DD):
2011-09-02
Review Status:not specified
Audience:Experts Only
Abstract / Description:Independent Subspace Analysis (ISA) denotes the task of linearly separating multivariate observations into statistically independent multi-dimensional sources, where dependencies only exist within these subspaces but not between them. So far ISA algorithms have mostly been described in the context of known group sizes. Here, we extend a previously proposed ISA algorithm based on joint block diagonalization of 4-th order cumulant matrices to separate subspaces of unknown sizes. Further automated interpretation of the demixed sources then requires a means of recovering the subspace structure within them, and we propose two distinct methods for this. We then apply the method to a novel application field, namely clustering of metabolites, which seems to be well-fit to the ISA model. We are able to successfully identify dependencies between metabolites that could not be recovered using conventional methods.
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Folkert Müller-Hoissen
Affiliations:MPI für Dynamik und Selbstorganisation/Nichtlineare Dynamik
External Affiliations:Technical University Munich, Department of Mathematics 85748 Garching, Germany
Institute of Bioinformatics and Systems Biology Helmholtz Zentrum Muenchen, 85764 Neuherberg, Germany
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