Ising model for interpolation of spatial data on regular gridsIsing model for interpolation of spatial data on regular grids Peer-Reviewed Journal Publication Δημοσίευση σε Περιοδικό με Κριτές 2022-09-292021enWe acknowledge support for a short visit by M.Ž. at the Technical University of Crete from the Hellenic Ministry of Education Department of Inter-University Relations, the State Scholarships Foundation of Greece, and the Slovak Republic’s Ministry of Education through the Bilateral Programme of Educational Exchanges between Greece and Slovakia.We 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.http://creativecommons.org/licenses/by/4.0/Entropy2310Žukovič_et_al_Entropy_23(10)_2021.pdfChania [Greece]Library of TUC2022-09-29application/pdf1.0 MBfree Žukovič, Milan Christopoulos Dionysios Χριστοπουλος Διονυσιος MDPI Ising model Spatial classification Interpolation Non-Gaussian data Earth observation Fast algorithm