Spatial interpolation using conditional generative adversarial neural networks. Issue 4 (2nd April 2020)

• Record Type: Journal Article
• Authors: Zhu, Di; Cheng, Ximeng; Zhang, Fan; Yao, Xin; Gao, Yong; Liu, Yu
• Is Part Of: International journal of geographical information science. Volume 34:Issue 4(2020)
• Page Start: 735
• Page End: 758
• Publication Date: 2020-04-02
• Subjects: Spatial interpolation -- generative adversarial networks -- deep learning -- encoder-decoder -- spatial prediction; Geography -- Data processing -- Periodicals; Information storage and retrieval systems -- Periodicals; Géomatique -- Périodiques; Systèmes d'information -- Périodiques; 910.285
• DOI: 10.1080/13658816.2019.1599122
• Languages: English
• ISSNs: 1365-8816

Abstract

ABSTRACT: Spatial interpolation is a traditional geostatistical operation that aims at predicting the attribute values of unobserved locations given a sample of data defined on point supports. However, the continuity and heterogeneity underlying spatial data are too complex to be approximated by classic statistical models. Deep learning models, especially the idea of conditional generative adversarial networks (CGANs), provide us with a perspective for formalizing spatial interpolation as a conditional generative task. In this article, we design a novel deep learning architecture named conditional encoder-decoder generative adversarial neural networks (CEDGANs) for spatial interpolation, therein combining the encoder-decoder structure with adversarial learning to capture deep representations of sampled spatial data and their interactions with local structural patterns. A case study on elevations in China demonstrates the ability of our model to achieve outstanding interpolation results compared to benchmark methods. Further experiments uncover the learned spatial knowledge in the model's hidden layers and test the potential to generalize our adversarial interpolation idea across domains. This work is an endeavor to investigate deep spatial knowledge using artificial intelligence. The proposed model can benefit practical scenarios and enlighten future research in various geographical applications related to spatial prediction.