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Hausdorff-distance-based training dataset construction for numerical dispersion mitigation neural network Full article

Journal Computers and Geosciences
ISSN: 0098-3004
Output data Year: 2023, Volume: 180, Article number : 105438, Pages count : 9 DOI: 10.1016/j.cageo.2023.105438
Tags Seismic modeling, Numerical dispersion, Deep learning, Hausdorff distance
Authors Gadylshin Kirill 1 , Lisitsa Vadim 1 , Vishnevsky D. 2 , Gadylshina Kseniia 2
Affiliations
1 Institute of Mathematics SB RAS, 4 Koptug ave., Novosibirsk, 630090, Russia
2 Institute of Petroleum Geology and Geophysics SB RAS, 3 Koptug ave., Novosibirsk, 630090, Russia

Funding (2)

1 Russian Science Foundation 22-11-00004
2 Министерство науки и высшего образования РФ
Mathematical Center in Akademgorodok
075-15-2019-1613, 075-15-2022-281

Abstract: We present a novel approach for constructing the training dataset for the Numerical Dispersion Mitigation neural network (NDM-net). The NDM-net is a multi-step approach to reduce numerical error in seismic modeling. First, a coarse grid is used to simulate the entire dataset with lower accuracy quickly. A fine grid is then used to simulate selected cases with higher accuracy. Next, the high-accuracy solutions are used together with corresponding low-accuracy solutions as a training dataset for the neural network. Finally, the neural network is used to improve the accuracy of the entire dataset of low-accuracy solutions. Running highaccuracy simulations for the training dataset is the most time-consuming step of the NDM-net approach. Thus, reducing the training dataset may significantly improve the NDM-net performance. In this study, we propose a training dataset construction method that maintains the Hausdorff distance between the training dataset and the complete dataset, allowing the training dataset to be generated from as few as 3%–5% of the total number of sources.
Cite: Gadylshin K. , Lisitsa V. , Vishnevsky D. , Gadylshina K.
Hausdorff-distance-based training dataset construction for numerical dispersion mitigation neural network
Computers and Geosciences. 2023. V.180. 105438 :1-9. DOI: 10.1016/j.cageo.2023.105438 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Aug 18, 2022
Accepted: Aug 19, 2023
Published print: Aug 24, 2023
Published online: Aug 24, 2023
Identifiers:
Web of science: WOS:001070880200001
Scopus: 2-s2.0-85171525355
Elibrary: 63244826
OpenAlex: W4386122715
Citing:
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OpenAlex 6
Scopus 5
Web of science 4
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