Solving of L0 norm constrained EEG inverse problem

Peng Xu; Xu Lei; Xiao Hu; Dezhong Yao

doi:10.1109/IEMBS.2009.5335009

Solving of L0 norm constrained EEG inverse problem

Annu Int Conf IEEE Eng Med Biol Soc. 2009:2009:69-72. doi: 10.1109/IEMBS.2009.5335009.

Authors

Peng Xu¹, Xu Lei, Xiao Hu, Dezhong Yao

Affiliation

¹ Key laboratory for NeuroInformation of Ministry of Education, School of Life Science and Technology, University of Electronic Science and Technology of China, ChengDu, Sichuan, 610054, China.

PMID: 19965116
DOI: 10.1109/IEMBS.2009.5335009

Abstract

l(0) norm is an effective constraint used to solve EEG inverse problem for a sparse solution. However, due to the discontinuous and un-differentiable properties, it is an open issue to solve the l(0) norm constrained problem, which is usually instead solved by using some alternative functions like l(1) norm to approximate l(0) norm. In this paper, a continuous and differentiable function having the same form as the transfer function of Butterworth low-pass filter is introduced to approximate l(0) norm constraint involved in EEG inverse problem. The new approximation based approach was compared with l(1) norm and LORETA solutions on a realistic head model using simulated sources. The preliminary results show that this alternative approximation to l(0) norm is promising for the estimation of EEG sources with sparse distribution.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Action Potentials / physiology*
Algorithms*
Brain / physiology*
Brain Mapping / methods*
Computer Simulation
Diagnosis, Computer-Assisted / methods
Electroencephalography / methods*
Evoked Potentials / physiology*
Humans
Models, Neurological
Multivariate Analysis
Nerve Net / physiology*
Neural Pathways / physiology
Regression Analysis
Reproducibility of Results
Sensitivity and Specificity