Magnetic source images determined by a lead-field analysis: the unique minimum-norm least-squares estimation
Abstract
The minimum norm least-squares approach based on lead field theory provides a unique inverse solution for a magnetic source image that is the best estimate in the least-squares sense. This has been applied to determine the source current distribution when the primary current is confined to a surface or set of surfaces. In model simulations of cortical activity of the human brain, the magnetic field pattern across the scalp is interpreted with prior knowledge of anatomy to yield a unique magnetic source image across a portion of cerebral cortex, without resort to an explicit source model.
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Weighted minimum norm mitigates the superficial bias by weighting current sources by the norm of the EEG/MEG signals they can generate with a unitary magnitude.
“To mitigate this bias, one strategy is to weight current sources by the norm of the EEG/MEG signals that can be generated by each of them with a unitary magnitude. Introducing this weighting to MN regularization leads to the so-called weighted minimum norm (WMN) solution (24–27).”
From Electrophysiological source imaging: A noninvasive window to brain dynamics (2018) · cites this paper as [24]
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- Authors
- Wang, J.-Z., Williamson, S. J., & Kaufman, L.
- Affiliations
- New York University (US)
- Venue
- IEEE Transactions on Biomedical Engineering
- Published
- 1992-07
- Volume
- 39
- Issue
- 7
- Pages
- 665-675
- ISSN
- 0018-9294 (ISSN-L)
- OpenAlex
- W2153287244
- Cited by
- 299
- References
- 29
- Citations by year
- 2026: 5 · 2025: 6 · 2024: 2 · 2023: 6 · 2022: 5 · 2021: 7 · 2020: 3 · 2019: 5 · 2018: 5 · 2017: 7 · 2016: 6 · 2015: 2 · 2014: 7 · 2013: 6 · 2012: 8
- FWCI
- 17.46
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- IEEE Transactions on Biomedical Engineering (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Mathematical Physics › Numerical methods in inverse problems
- Life Sciences › Neuroscience › Cognitive Neuroscience › EEG and Brain-Computer Interfaces
- Physical Sciences › Earth and Planetary Sciences › Geophysics › Geophysical and Geoelectrical Methods
- Keywords
- magnetic source imaging, inverse problems, cortical activity, anatomical priors
- MeSH terms
- Electrodes, Humans, Image Enhancement, Sensitivity and Specificity, Magnetoencephalography, Least-Squares Analysis, Artifacts
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