تقرير
On Bias and Its Reduction via Standardization in Discretized Electromagnetic Source Localization Problems
| العنوان: | On Bias and Its Reduction via Standardization in Discretized Electromagnetic Source Localization Problems |
|---|---|
| المؤلفون: | Lahtinen, Joonas |
| المصدر: | Inverse Problems 40 (2024), page 095002 |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Optimization and Control, 15A03, 15A04, 15A29, 15A42 |
| الوصف: | In electromagnetic source localization problems stemming from linearized Poisson-type equation, the aim is to locate the sources within a domain that produce given measurements on the boundary. In this type of problem, biasing of the solution is one of the main causes of mislocalization. A technique called standardization was developed to reduce biasing. However, the lack of a mathematical foundation for this method can cause difficulties in its application and confusion regarding the reliability of solutions. Here, we give a rigorous and generalized treatment for the technique using the Bayesian framework to shed light on the technique's abilities and limitations. In addition, we take a look at the noise robustness of the method, which is widely reported in numerical studies. The paper starts by giving a gentle introduction to the problem and its bias and works its way toward standardization. Comment: 22 pages (excluding references), six figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1088/1361-6420/ad5f53 |
| URL الوصول: | http://arxiv.org/abs/2405.04409 |
| رقم الأكسشن: | edsarx.2405.04409 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1088/1361-6420/ad5f53 |
|---|