Estimating vector fields using sparse basis field expansions

Stefan Haufe, Vadim V. Nikulin, Andreas Ziehe, Klaus Muller, Guido Nolte

Research output: Chapter in Book/Report/Conference proceedingConference contribution

16 Citations (Scopus)

Abstract

We introduce a novel framework for estimating vector fields using sparse basis field expansions (S-FLEX). The notion of basis fields, which are an extension of scalar basis functions, arises naturally in our framework from a rotational invariance requirement. We consider a regression setting as well as inverse problems. All variants discussed lead to second-order cone programming formulations. While our framework is generally applicable to any type of vector field, we focus in this paper on applying it to solving the EEG/MEG inverse problem. It is shown that significantly more precise and neurophysiologically more plausible location and shape estimates of cerebral current sources from EEG/MEG measurements become possible with our method when comparing to the state-of-the-art.

Original languageEnglish
Title of host publicationAdvances in Neural Information Processing Systems 21 - Proceedings of the 2008 Conference
Pages617-624
Number of pages8
Publication statusPublished - 2009 Dec 1
Externally publishedYes
Event22nd Annual Conference on Neural Information Processing Systems, NIPS 2008 - Vancouver, BC, Canada
Duration: 2008 Dec 82008 Dec 11

Other

Other22nd Annual Conference on Neural Information Processing Systems, NIPS 2008
CountryCanada
CityVancouver, BC
Period08/12/808/12/11

Fingerprint

Electroencephalography
Inverse problems
Invariance
Cones

ASJC Scopus subject areas

  • Information Systems

Cite this

Haufe, S., Nikulin, V. V., Ziehe, A., Muller, K., & Nolte, G. (2009). Estimating vector fields using sparse basis field expansions. In Advances in Neural Information Processing Systems 21 - Proceedings of the 2008 Conference (pp. 617-624)

Estimating vector fields using sparse basis field expansions. / Haufe, Stefan; Nikulin, Vadim V.; Ziehe, Andreas; Muller, Klaus; Nolte, Guido.

Advances in Neural Information Processing Systems 21 - Proceedings of the 2008 Conference. 2009. p. 617-624.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Haufe, S, Nikulin, VV, Ziehe, A, Muller, K & Nolte, G 2009, Estimating vector fields using sparse basis field expansions. in Advances in Neural Information Processing Systems 21 - Proceedings of the 2008 Conference. pp. 617-624, 22nd Annual Conference on Neural Information Processing Systems, NIPS 2008, Vancouver, BC, Canada, 08/12/8.
Haufe S, Nikulin VV, Ziehe A, Muller K, Nolte G. Estimating vector fields using sparse basis field expansions. In Advances in Neural Information Processing Systems 21 - Proceedings of the 2008 Conference. 2009. p. 617-624
Haufe, Stefan ; Nikulin, Vadim V. ; Ziehe, Andreas ; Muller, Klaus ; Nolte, Guido. / Estimating vector fields using sparse basis field expansions. Advances in Neural Information Processing Systems 21 - Proceedings of the 2008 Conference. 2009. pp. 617-624
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