Neural Networks for Parameter Estimation in Geometrically Anisotropic Geostatistical Models
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916363197480960 |
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| author | Villazón, Alejandro Alegría, Alfredo Emery, Xavier |
| author_facet | Villazón, Alejandro Alegría, Alfredo Emery, Xavier |
| contents | This article presents a neural network approach for estimating the covariance function of spatial Gaussian random fields defined in a portion of the Euclidean plane. Our proposal builds upon recent contributions, expanding from the purely isotropic setting to encompass geometrically anisotropic correlation structures, i.e., random fields with correlation ranges that vary across different directions. We conduct experiments with both simulated and real data to assess the performance of the methodology and to provide guidelines to practitioners. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_10915 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Neural Networks for Parameter Estimation in Geometrically Anisotropic Geostatistical Models Villazón, Alejandro Alegría, Alfredo Emery, Xavier Methodology This article presents a neural network approach for estimating the covariance function of spatial Gaussian random fields defined in a portion of the Euclidean plane. Our proposal builds upon recent contributions, expanding from the purely isotropic setting to encompass geometrically anisotropic correlation structures, i.e., random fields with correlation ranges that vary across different directions. We conduct experiments with both simulated and real data to assess the performance of the methodology and to provide guidelines to practitioners. |
| title | Neural Networks for Parameter Estimation in Geometrically Anisotropic Geostatistical Models |
| topic | Methodology |
| url | https://arxiv.org/abs/2408.10915 |