# Review of methods for solving the EEG inverse problem

@inproceedings{PascualMarqui1999ReviewOM, title={Review of methods for solving the EEG inverse problem}, author={Roberto D. Pascual-Marqui}, year={1999} }

This paper reviews the class of instantaneous, 3D, discrete, linear solutions for the EEG inverse problem. Five different inverse methods are analyzed and compared: minimum norm, weighted minimum norm, Backus and Gilbert, weighted resolution optimization (WROP), and low resolution brain electromagnetic tomography (LORETA). The inverse methods are compared by testing localization errors in the estimation of single and multiple sources. These tests constitute the minimum necessary condition to be… Expand

#### 715 Citations

Review on solving the inverse problem in EEG source analysis

- Computer Science, Medicine
- Journal of NeuroEngineering and Rehabilitation
- 2008

The Monte-Carlo analysis performed, comparing WMN, LORETA, sLorETA and SLF, for different noise levels and different simulated source depths has shown that for single source localization, regularized sLORETA gives the best solution in terms of both localization error and ghost sources. Expand

Invited review EEG source imaging

- Computer Science
- 2004

It is shown that modern EEG source imaging simultaneously details the temporal and spatial dimensions of brain activity, making it an important and affordable tool to study the properties of cerebral, neural networks in cognitive and clinical neurosciences. Expand

Recent trends and advances in solving the inverse problem for EEG source localization

- Computer Science
- 2019

The latest algorithmic developments in solving the EEG inverse problem are reviewed and the optimization rendered by these techniques in accurately solving the neural source localization problem is also discussed. Expand

EEG source imaging

- Psychology, Medicine
- Clinical Neurophysiology
- 2004

It is shown that modern EEG source imaging simultaneously details the temporal and spatial dimensions of brain activity, making it an important and affordable tool to study the properties of cerebral, neural networks in cognitive and clinical neurosciences. Expand

A survey of methods used for source localization using EEG signals

- Mathematics, Computer Science
- Biomed. Signal Process. Control.
- 2014

In this survey, EEG inverse problem is discussed with its primary to most developed and recent solutions, the introduction to the field along with the categorization of different solutions and the relative advantages and limitations for each method are discussed. Expand

Evaluation of Different EEG Source Localization Methods Using Testing Localization Errors

- Mathematics
- 2013

The ideas underlying the quantitative localization of the sources of the EEG review within the brain along with the current and emerging approaches to the problem. The ideas mentioned consist of… Expand

Hybrid Weighted Minimum Norm Method A new method based LORETA to solve EEG inverse problem

- Mathematics, Medicine
- 2005 IEEE Engineering in Medicine and Biology 27th Annual Conference
- 2005

This paper brings forward a new method to solve EEG inverse problem. Based on following physiological characteristic of neural electrical activity source: first, the neighboring neurons are prone to… Expand

Systematic Regularization of Linear Inverse Solutions of the EEG Source Localization Problem

- Computer Science, Medicine
- NeuroImage
- 2002

An iterative "expectation-maximization" procedure to jointly estimate the conditional expectation of the source distribution and the ReML hyperparameters on which this solution rests is estimated, which speaks to the usefulness of using adaptative Re ML hyperparameter estimates. Expand

Keep it simple: a case for using classical minimum norm estimation in the analysis of EEG and MEG data

- Medicine, Mathematics
- NeuroImage
- 2004

The present study aims at finding the optimal inverse solution for the bioelectromagnetic inverse problem in the absence of reliable a priori information about the generating sources, and shows that the minimum norm pseudoinverse (MNP) in the complete absence of such information is the ideal solution. Expand

Lp Norm Iterative Sparse Solution for EEG Source Localization

- Computer Science, Medicine
- IEEE Transactions on Biomedical Engineering
- 2007

A novel iterative EEG source imaging algorithm, Lp norm iterative sparse solution (LPISS), which was applied to a real evoked potential collected in a study of inhibition of return (IOR), and the result was consistent with the previously suggested activated areas involved in an IOR process. Expand

#### References

SHOWING 1-10 OF 16 REFERENCES

Trends in EEG source localization.

- Computer Science, Medicine
- Electroencephalography and clinical neurophysiology
- 1998

The concepts underlying the quantitative localization of the sources of the EEG inside the brain are reviewed along with the current and emerging approaches to the problem, including single and multiple time-slice localization, equivalent dipole localization and the weighted minimum norm. Expand

Low resolution electromagnetic tomography: a new method for localizing electrical activity in the brain.

- Psychology, Medicine
- International journal of psychophysiology : official journal of the International Organization of Psychophysiology
- 1994

A direct comparison of the tomography results with those obtained from fitting one and two dipoles illustrates that the new method provides physiologically meaningful results while dipolar solutions fail in many situations. Expand

Linear inverse solutions with optimal resolution kernels applied to electromagnetic tomography

- Psychology, Medicine
- Human brain mapping
- 1997

This paper discusses the construction of inverse solutions with optimal resolution kernels and applications of them in the reconstruction of the generators of the EEG/MEG and introduces a method termed “weighted resolution optimization” (WROP) that deals with the difficulties inherent to the method of Backus and Gilbert [1967]. Expand

MEG versus EEG localization test using implanted sources in the human brain

- Psychology, Medicine
- Annals of neurology
- 1990

The results suggest that the MEG offers no significant advantage over the EEG in localizing a focal source, however, this does not diminish other uses of the M EG. Expand

The spatial location of EEG electrodes: locating the best-fitting sphere relative to cortical anatomy.

- Mathematics, Medicine
- Electroencephalography and clinical neurophysiology
- 1993

The melding of EEG electrode location information with brain anatomy provides an empirical basis for associating hypothetical equivalent dipole locations with their anatomical substrates. Expand

Low resolution brain electromagnetic tomography (LORETA) functional imaging in acute, neuroleptic-naive, first-episode, productive schizophrenia

- Medicine, Psychology
- Psychiatry Research: Neuroimaging
- 1999

The patients showed a dis-coordinated brain functional state consisting of inhibited prefrontal/frontal areas and simultaneously overexcited right parietal areas, while left anterior, left temporal and left central areas lacked normal routine activity. Expand

Geophysical data analysis : discrete inverse theory

- Mathematics
- 1984

Preface. Introduction. DESCRIBING INVERSE PROBLEMS Formulating Inverse Problems. The Linear Inverse Problem. Examples of Formulating Inverse Problems. Solutions to Inverse Problems. SOME COMMENTS ON… Expand

Location of Sources of Evoked Scalp Potentials: Corrections for Skull and Scalp Thicknesses

- Geology, Medicine
- IEEE Transactions on Biomedical Engineering
- 1981

It is shown that the position of the source in a head modeled by a sphere surrounded by two concentric shells of differing conductivities representing the skull and the scalp can be inferred from source localization calculations made on a homogeneous model. Expand

Microstates in Language-Related Brain Potential Maps Show Noun–Verb Differences

- Medicine, Psychology
- Brain and Language
- 1996

Brain processing of grammatical word class was studied analyzing event-related potential (ERP) brain fields and indicates that different neural populations represent different grammaticalword classes in language processing, in agreement with clinical observations. Expand

The Resolving Power of Gross Earth Data

- Mathematics
- 1968

A gross Earth datum is a single measurable number describing some property of the whole Earth, such as mass, moment of interia, or the frequency of oscillation of some identified… Expand