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Tensor decompositions for the analysis of atomic resolution electron energy loss spectra
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory. sala, Sweden..ORCID iD: 0000-0002-0074-1349
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Systems and Control. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Automatic control.
2017 (English)In: Ultramicroscopy, ISSN 0304-3991, E-ISSN 1879-2723, Vol. 175, 36-45 p.Article in journal (Refereed) Published
Abstract [en]

A selection of tensor decomposition techniques is presented for the detection of weak signals in electron energy loss spectroscopy (EELS) data. The focus of the analysis lies on the correct representation of the simulated spatial structure. An analysis scheme for EEL spectra combining two-dimensional and n-way decomposition methods is proposed. In particular, the performance of robust principal component analysis (ROBPCA), Tucker Decompositions using orthogonality constraints (Multilinear Singular Value Decomposition (MLSVD)) and Tucker decomposition without imposed constraints, canonical polyadic decomposition (CPD) and block term decompositions (BTD) on synthetic as well as experimental data is examined.

Place, publisher, year, edition, pages
2017. Vol. 175, 36-45 p.
Keyword [en]
Blind source separation, Tensor decompositions, EELS, Data compression
National Category
Atom and Molecular Physics and Optics
Identifiers
URN: urn:nbn:se:uu:diva-329139DOI: 10.1016/j.ultramic.2016.12.025ISI: 000403342500003PubMedID: 28110262OAI: oai:DiVA.org:uu-329139DiVA: diva2:1148149
Funder
Swedish Research CouncilGöran Gustafsson Foundation for promotion of scientific research at Uppala University and Royal Institute of TechnologyThe Swedish Foundation for International Cooperation in Research and Higher Education (STINT)
Available from: 2017-10-10 Created: 2017-10-10 Last updated: 2017-10-10Bibliographically approved

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