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Ising model for interpolation of spatial data on regular grids

Žukovič, Milan, Christopoulos Dionysios

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URIhttp://purl.tuc.gr/dl/dias/8474B456-F110-467C-A572-3F901DEA5A5F-
Identifierhttps://doi.org/10.3390/e23101270-
Identifierhttps://www.mdpi.com/1099-4300/23/10/1270/htm-
Languageen-
Extent18 pagesen
TitleIsing model for interpolation of spatial data on regular gridsen
CreatorŽukovič, Milanen
CreatorChristopoulos Dionysiosen
CreatorΧριστοπουλος Διονυσιοςel
PublisherMDPIen
Content SummaryWe apply the Ising model with nearest-neighbor correlations (INNC) in the problem of interpolation of spatially correlated data on regular grids. The correlations are captured by short-range interactions between “Ising spins”. The INNC algorithm can be used with label data (classification) as well as discrete and continuous real-valued data (regression). In the regression problem, INNC approximates continuous variables by means of a user-specified number of classes. INNC predicts the class identity at unmeasured points by using the Monte Carlo simulation conditioned on the observed data (partial sample). The algorithm locally respects the sample values and globally aims to minimize the deviation between an energy measure of the partial sample and that of the entire grid. INNC is non-parametric and, thus, is suitable for non-Gaussian data. The method is found to be very competitive with respect to interpolation accuracy and computational efficiency compared to some standard methods. Thus, this method provides a useful tool for filling gaps in gridded data such as satellite images.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2022-09-29-
Date of Publication2021-
SubjectIsing modelen
SubjectSpatial classificationen
SubjectInterpolationen
SubjectNon-Gaussian dataen
SubjectEarth observationen
SubjectFast algorithmen
Bibliographic CitationM. Žukovič and D. T. Hristopulos, “Ising model for interpolation of spatial data on regular grids,” Entropy, vol. 23, no. 10, Sep. 2021, doi: 10.3390/e23101270.en

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