Quantifying Uncertainty for Coherent Structures
Field Alignment is a useful and often necessary preprocessing step in contemporary geophysical state and parameter estimation of coherent structures. In an advance, we introduce a new framework for using Field Alignment to quantify uncertainty from an ensemble of coherent structures. Our method, cal...
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| Format: | Article |
| Language: | en_US |
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Elsevier
2014
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| Online Access: | http://hdl.handle.net/1721.1/91528 |
| _version_ | 1811081484958695424 |
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| author | Ravela, Sai |
| author2 | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Ravela, Sai |
| author_sort | Ravela, Sai |
| collection | MIT |
| description | Field Alignment is a useful and often necessary preprocessing step in contemporary geophysical state and parameter estimation of coherent structures. In an advance, we introduce a new framework for using Field Alignment to quantify uncertainty from an ensemble of coherent structures. Our method, called Coalescence, discovers the mean field under non-trivial misalignments of fields with complex shapes, which is especially diffcult to calculate in the presence of sparse observations. We solve the associated Field Alignment problem using novel constraints derived from turbulent displacement spectra. In conjunction with a continuation method called Scale Cascaded Alignment (SCA), we are able to extract simpler explanations of the error between fields before cascading to more complex deformation solutions. For coherent structures, SCA and Coalescence have the potential to change the way uncertainty is quantified and data is assimilated. We illustrate utility here in a Nowcasting application. |
| first_indexed | 2024-09-23T11:47:25Z |
| format | Article |
| id | mit-1721.1/91528 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:47:25Z |
| publishDate | 2014 |
| publisher | Elsevier |
| record_format | dspace |
| spelling | mit-1721.1/915282024-05-15T02:48:44Z Quantifying Uncertainty for Coherent Structures Ravela, Sai Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Ravela, Srinivas (Sai) Field Alignment is a useful and often necessary preprocessing step in contemporary geophysical state and parameter estimation of coherent structures. In an advance, we introduce a new framework for using Field Alignment to quantify uncertainty from an ensemble of coherent structures. Our method, called Coalescence, discovers the mean field under non-trivial misalignments of fields with complex shapes, which is especially diffcult to calculate in the presence of sparse observations. We solve the associated Field Alignment problem using novel constraints derived from turbulent displacement spectra. In conjunction with a continuation method called Scale Cascaded Alignment (SCA), we are able to extract simpler explanations of the error between fields before cascading to more complex deformation solutions. For coherent structures, SCA and Coalescence have the potential to change the way uncertainty is quantified and data is assimilated. We illustrate utility here in a Nowcasting application. United States. Federal Aviation Administration (Grant FA8721-05-C-0002) National Science Foundation (U.S.). Division of Biological Infrastructure (Grant NSF DBI 0640529) 2014-11-12T13:53:14Z 2014-11-12T13:53:14Z 2012-06 Article http://purl.org/eprint/type/JournalArticle 18770509 http://hdl.handle.net/1721.1/91528 Ravela, S. “Quantifying Uncertainty for Coherent Structures.” Procedia Computer Science 9 (2012): 1187–1196. © 2012 Elsevier Ltd. en_US http://dx.doi.org/10.1016/j.procs.2012.04.128 Procedia Computer Science Creative Commons Attribution http://creativecommons.org/licenses/by-nc-nd/3.0/ application/pdf Elsevier Elsevier |
| spellingShingle | Ravela, Sai Quantifying Uncertainty for Coherent Structures |
| title | Quantifying Uncertainty for Coherent Structures |
| title_full | Quantifying Uncertainty for Coherent Structures |
| title_fullStr | Quantifying Uncertainty for Coherent Structures |
| title_full_unstemmed | Quantifying Uncertainty for Coherent Structures |
| title_short | Quantifying Uncertainty for Coherent Structures |
| title_sort | quantifying uncertainty for coherent structures |
| url | http://hdl.handle.net/1721.1/91528 |
| work_keys_str_mv | AT ravelasai quantifyinguncertaintyforcoherentstructures |