Ising Model for Interpolation of Spatial Data on Regular Grids
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  • Release Date: 2022-04-12
  • Ising model
  • spatial classification
  • interpolation
  • non-Gaussian data
  • earth observation
  • fast algorithm
Video Introduction

This video is adapted from 10.3390/e23101270

Researchers 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.

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Žukovič, M.; Hristopulos, D.T. Ising Model for Interpolation of Spatial Data on Regular Grids. Encyclopedia. Available online: https://encyclopedia.pub/video/video_detail/277 (accessed on 23 April 2024).
Žukovič M, Hristopulos DT. Ising Model for Interpolation of Spatial Data on Regular Grids. Encyclopedia. Available at: https://encyclopedia.pub/video/video_detail/277. Accessed April 23, 2024.
Žukovič, Milan, Dionissios T. Hristopulos. "Ising Model for Interpolation of Spatial Data on Regular Grids" Encyclopedia, https://encyclopedia.pub/video/video_detail/277 (accessed April 23, 2024).
Žukovič, M., & Hristopulos, D.T. (2022, April 12). Ising Model for Interpolation of Spatial Data on Regular Grids. In Encyclopedia. https://encyclopedia.pub/video/video_detail/277
Žukovič, Milan and Dionissios T. Hristopulos. "Ising Model for Interpolation of Spatial Data on Regular Grids." Encyclopedia. Web. 12 April, 2022.