This report synthesises findings from 15 peer-reviewed papers addressing the following research question: What is the impact of Gaussian noise injection on the inference efficiency and prediction accuracy of spatiotemporal graph neural networks compared to standard diffusion-based approaches. Summary Continuously indexed Gaussian fields (GFs) are the most important ingredient in spatial statistical modelling and geostatistics. The specification through the covariance function gives an intuitive interpretation of the field properties. 11 claims were extracted from source literature; 10 were independently verified against retrieved documents. An automated multi-reviewer quality assessment produced a score of 7.7/10. This report is a machine-generated literature synthesis and does not constitute original research.Research goal: What is the impact of Gaussian noise injection on the inference efficiency and prediction accuracy of spatiotemporal graph neural networks compared to standard diffusion-based approaches?Autonomous literature synthesis. Automated review score: 7.7/10. Full text and citation available at Assignee Research.