Efficient Learned Spatial Index With Interpolation Function Based Learned Model

Recently, researchers have demonstrated that learned index can improve query performance while reducing the storage overhead. It potentially offers an opportunity to address the spatial query processing challenges caused by the surge in location-based services. Although several learned indexes have been proposed to process spatial data, the main idea behind these approaches is to utilize the existing one-dimensional learned models, which requires either converting the spatial data into one-dimensional data or applying the learned model on individual dimensions separately. As a result, these approaches cannot fully leverage or take advantage of the information regarding the spatial distribution of the original spatial data. To this end, in our previous work, we proposed a spatial (multi-dimensional) interpolation function based learned model to develop a spatial learned index and designed efficient range and $k$NN query strategies over it. However, there are some limitations in the proposed learned model, such as the prediction accuracy and index building time. In this paper, we address the limitations of our previous work and propose a new spatial learned model by employing the characteristics of the spatial interpolation functions and a novel dynamic encoding technique. Detailed experiments are conducted with real-world datasets. The results indicate that our new proposed learned model is better than our previous one in terms of building time, prediction accuracy, and storage overhead simultaneously, and the new learned spatial index is better than the existing learned spatial indexes in query execution time and index building time.