dorsal/arxiv
View SchemaA Bayesian Approach for the Determination of the Charge Density from Elastic Electron Scattering Data
| Authors | A. Mohammad-Djafari, H. G. Miller |
|---|---|
| Categories | |
| ArXiv ID | physics/0111119 |
| URL | https://arxiv.org/abs/physics/0111119 |
Abstract
The problem of the determination of the charge density from limited information about the charge form factor is an ill-posed inverse problem. A Bayesian probabilistic approach to this problem which permits to take into account both errors and prior information about the solution is presented. We will show that many classical methods can be considered as special cases of the proposed approach. We address also the problem of the basis function choice for the discretization and the uncertainty of the solution. Some numerical results for an analytical model are presented to show the performance of the proposed method.
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"abstract": "The problem of the determination of the charge density from limited\ninformation about the charge form factor is an ill-posed inverse problem. A\nBayesian probabilistic approach to this problem which permits to take into\naccount both errors and prior information about the solution is presented. We\nwill show that many classical methods can be considered as special cases of the\nproposed approach. We address also the problem of the basis function choice for\nthe discretization and the uncertainty of the solution. Some numerical results\nfor an analytical model are presented to show the performance of the proposed\nmethod.",
"arxiv_id": "physics/0111119",
"authors": [
"A. Mohammad-Djafari",
"H. G. Miller"
],
"categories": [
"physics.data-an"
],
"title": "A Bayesian Approach for the Determination of the Charge Density from Elastic Electron Scattering Data",
"url": "https://arxiv.org/abs/physics/0111119"
},
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