تقرير
A matrix-free approach to geostatistical filtering
العنوان: | A matrix-free approach to geostatistical filtering |
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المؤلفون: | Pereira, Mike, Desassis, Nicolas, Magneron, Cédric, Palmer, Nathan |
سنة النشر: | 2020 |
المجموعة: | Mathematics Statistics |
مصطلحات موضوعية: | Statistics - Methodology, Mathematics - Statistics Theory, Statistics - Applications |
الوصف: | In this paper, we present a novel approach to geostatistical filtering which tackles two challenges encountered when applying this method to complex spatial datasets: modeling the non-stationarity of the data while still being able to work with large datasets. The approach is based on a finite element approximation of Gaussian random fields expressed as an expansion of the eigenfunctions of a Laplace--Beltrami operator defined to account for local anisotropies. The numerical approximation of the resulting random fields using a finite element approach is then leveraged to solve the scalability issue through a matrix-free approach. Finally, two cases of application of this approach, on simulated and real seismic data are presented. Comment: 25 pages, 8 figures |
نوع الوثيقة: | Working Paper |
URL الوصول: | http://arxiv.org/abs/2004.02799 |
رقم الأكسشن: | edsarx.2004.02799 |
قاعدة البيانات: | arXiv |
الوصف غير متاح. |