A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2)
<p>Inverse models arise in various environmental applications, ranging from atmospheric modeling to geosciences. Inverse models can often incorporate predictor variables, similar to regression, to help estimate natural processes or parameters of interest from observed data. Although a large se...
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Copernicus Publications
2024-12-01
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| Series: | Geoscientific Model Development |
| Online Access: | https://gmd.copernicus.org/articles/17/8853/2024/gmd-17-8853-2024.pdf |
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| author | M. Sabaté Landman J. Chung J. Jiang S. M. Miller A. K. Saibaba |
| author_facet | M. Sabaté Landman J. Chung J. Jiang S. M. Miller A. K. Saibaba |
| author_sort | M. Sabaté Landman |
| collection | DOAJ |
| description | <p>Inverse models arise in various environmental applications, ranging from atmospheric modeling to geosciences. Inverse models can often incorporate predictor variables, similar to regression, to help estimate natural processes or parameters of interest from observed data. Although a large set of possible predictor variables may be included in these inverse or regression models, a core challenge is to identify a small number of predictor variables that are most informative of the model, given limited observations. This problem is typically referred to as model selection. A variety of criterion-based approaches are commonly used for model selection, but most follow a two-step process: first, select predictors using some statistical criteria, and second, solve the inverse or regression problem with these predictor variables. The first step typically requires comparing all possible combinations of candidate predictors, which quickly becomes computationally prohibitive, especially for large-scale problems. In this work, we develop a one-step approach for linear inverse modeling, where model selection and the inverse model are performed in tandem. We reformulate the problem so that the selection of a small number of relevant predictor variables is achieved via a sparsity-promoting prior. Then, we describe hybrid iterative projection methods based on flexible Krylov subspace methods for efficient optimization. These approaches are well-suited for large-scale problems with many candidate predictor variables. We evaluate our results against traditional, criteria-based approaches. We also demonstrate the applicability and potential benefits of our approach using examples from atmospheric inverse modeling based on NASA's Orbiting Carbon Observatory-2 (OCO-2) satellite.</p> |
| format | Article |
| id | doaj-art-e38feb6a2944429ab0c177f2df7d3772 |
| institution | OA Journals |
| issn | 1991-959X 1991-9603 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Geoscientific Model Development |
| spelling | doaj-art-e38feb6a2944429ab0c177f2df7d37722025-08-20T02:34:24ZengCopernicus PublicationsGeoscientific Model Development1991-959X1991-96032024-12-01178853887210.5194/gmd-17-8853-2024A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2)M. Sabaté Landman0J. Chung1J. Jiang2S. M. Miller3A. K. Saibaba4Department of Mathematics, Emory University, Atlanta, GA, USADepartment of Mathematics, Emory University, Atlanta, GA, USASchool of Mathematics, University of Birmingham, Birmingham, UKDepartment of Environmental Health and Engineering, Johns Hopkins University, Baltimore, MD, USADepartment of Mathematics, North Carolina State University, Raleigh, NC, USA<p>Inverse models arise in various environmental applications, ranging from atmospheric modeling to geosciences. Inverse models can often incorporate predictor variables, similar to regression, to help estimate natural processes or parameters of interest from observed data. Although a large set of possible predictor variables may be included in these inverse or regression models, a core challenge is to identify a small number of predictor variables that are most informative of the model, given limited observations. This problem is typically referred to as model selection. A variety of criterion-based approaches are commonly used for model selection, but most follow a two-step process: first, select predictors using some statistical criteria, and second, solve the inverse or regression problem with these predictor variables. The first step typically requires comparing all possible combinations of candidate predictors, which quickly becomes computationally prohibitive, especially for large-scale problems. In this work, we develop a one-step approach for linear inverse modeling, where model selection and the inverse model are performed in tandem. We reformulate the problem so that the selection of a small number of relevant predictor variables is achieved via a sparsity-promoting prior. Then, we describe hybrid iterative projection methods based on flexible Krylov subspace methods for efficient optimization. These approaches are well-suited for large-scale problems with many candidate predictor variables. We evaluate our results against traditional, criteria-based approaches. We also demonstrate the applicability and potential benefits of our approach using examples from atmospheric inverse modeling based on NASA's Orbiting Carbon Observatory-2 (OCO-2) satellite.</p>https://gmd.copernicus.org/articles/17/8853/2024/gmd-17-8853-2024.pdf |
| spellingShingle | M. Sabaté Landman J. Chung J. Jiang S. M. Miller A. K. Saibaba A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2) Geoscientific Model Development |
| title | A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2) |
| title_full | A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2) |
| title_fullStr | A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2) |
| title_full_unstemmed | A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2) |
| title_short | A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2) |
| title_sort | joint reconstruction and model selection approach for large scale linear inverse modeling mshybr v2 |
| url | https://gmd.copernicus.org/articles/17/8853/2024/gmd-17-8853-2024.pdf |
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