Sparse Reconstruction of Multi-Dimensional Kinetic Distributions
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915233562361856 |
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| author | Oblapenko, Georgii Torrilhon, Manuel Herty, Michael |
| author_facet | Oblapenko, Georgii Torrilhon, Manuel Herty, Michael |
| contents | In the present work, we propose a novel method for reconstruction of multi-dimensional kinetic distributions, based on their representation as a mixture of Dirac delta functions. The representation is found as a solution of an optimization problem. Different target functionals are considered, with a focus on sparsity-promoting regularization terms. The proposed algorithm guarantees non-negativity of the distribution by construction, and avoids an exponential dependence of the computational cost on the dimensionality of the problem.
Numerical comparisons with other classical methods for reconstruction of kinetic distributions are provided for model problems, and the role of the different parameters governing the optimization problem is studied. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06014 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Sparse Reconstruction of Multi-Dimensional Kinetic Distributions Oblapenko, Georgii Torrilhon, Manuel Herty, Michael Computational Physics 82D05, 35L60, 35Q70, 82C40 In the present work, we propose a novel method for reconstruction of multi-dimensional kinetic distributions, based on their representation as a mixture of Dirac delta functions. The representation is found as a solution of an optimization problem. Different target functionals are considered, with a focus on sparsity-promoting regularization terms. The proposed algorithm guarantees non-negativity of the distribution by construction, and avoids an exponential dependence of the computational cost on the dimensionality of the problem. Numerical comparisons with other classical methods for reconstruction of kinetic distributions are provided for model problems, and the role of the different parameters governing the optimization problem is studied. |
| title | Sparse Reconstruction of Multi-Dimensional Kinetic Distributions |
| topic | Computational Physics 82D05, 35L60, 35Q70, 82C40 |
| url | https://arxiv.org/abs/2504.06014 |