Name
Abstract | ||
|---|---|---|
Model reduction is of highly interest in many science and engineering fields where the order of original system is such high that makes it difficult to work with. In fact, model reduction or parametrization defined as reducing the dimensionality of original model to a lower one to make a costly efficient model. In addition, in all history matching problem, in order to reduce the ill-posed ness of the problem, it is necessary to de-correlate the parameters. Proper orthogonal decomposition (POD) as an optimal transformation is widely used in parameterization. To obtain the bases for POD, it is necessary to vectorize the original replicates. Therefore, the higher order statistical information is lost due to slicing the replicates. Another approach that deals with the replicates as they are, is high order singular value decomposition (HOSVD). In the present work permeability maps dimension is reduced using HOSVD image compression method. Unknown permeability maps are also estimated using HOSVD and results of both parts compared to those of SVD. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1109/ICMLA.2013.121 | ICMLA), 2013 12th International Conference |
Keywords | Field | DocType |
data compression,image coding,permeability,reduced order systems,singular value decomposition,statistical analysis,HOSVD image compression method,higher order singular value decomposition,higher order statistical information,model dimensionality,model reduction,permeability map dimensions,permeability parametrization,proper orthogonal decomposition,High Order SVD,Parameter estimation,Parameterization,Permeability | Parametrization,Artificial intelligence,Estimation theory,Singular value decomposition,Mathematical optimization,Pattern recognition,Slicing,Algorithm,Curse of dimensionality,Higher-order singular value decomposition,Data compression,Image compression,Mathematics | Conference |
Volume | Citations | PageRank |
2 | 3 | 0.49 |
References | Authors | |
7 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sardar Afra | 1 | 5 | 1.55 |
| Eduardo Gildin | 2 | 30 | 4.48 |