Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
EN
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EL
| URI | http://purl.tuc.gr/dl/dias/B3F9BD31-EBD6-4D70-A101-ADB6E346C917 | - |
| Αναγνωριστικό | https://doi.org/10.1103/PhysRevE.80.011116 | - |
| Γλώσσα | en | - |
| Τίτλος | Classification of missing values in spatial data using spin models | en |
| Δημιουργός | D. T. Hristopulos | en |
| Δημιουργός | M. Zukovic | en |
| Περίληψη | A problem of current interest is the estimation of spatially distributed processes at locations where measurements are missing. Linear interpolation methods rely on the Gaussian assumption, which is often unrealistic in practice, or normalizing transformations, which are successful only for mild deviations from the Gaussian behavior. We propose to address the problem of missing value estimation on two-dimensional grids by means of spatial classification methods based on spin (Ising, Potts, and clock) models. The “spin” variables provide an interval discretization of the process values, and the spatial correlations are captured in terms of interactions between the spins. The spins at the unmeasured locations are classified by means of the “energy matching” principle: the correlation energy of the entire grid (including prediction sites) is estimated from the sample-based correlations. We investigate the performance of the spin classifiers in terms of computational speed, misclassification rate, class histogram, and spatial correlations reproduction using simulated realizations of spatial random fields, real rainfall data, and a digital test image. We also compare the spin-based methods with standard classifiers such as the k-nearest neighbor, the fuzzy k-nearest neighbor, and the support vector machine. We find that the spin-based classifiers provide competitive choices. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2015-09-26 | - |
| Ημερομηνία Δημοσίευσης | 2009 | - |
| Βιβλιογραφική Αναφορά | M. Zukovic, D. T. Hristopulos ," Classification of missing values in spatial data using spin models, Ph. Re. E,vol. 80 ,no.1,2009. doi:10.1103/PhysRevE.80.011116 | en |
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