Graph signal processing meets machine learning: Multi-scale spatial-temporal ensemble learning methodology for air quality forecasting

Zicheng Wang, Liren Chen, Huayou Chen*, Jingling Yang, Naveed ur Rehman

*Corresponding author for this work

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaperJournal articleResearchpeer-review

2 Citations (Scopus)

Abstract

Reliable air quality forecasting is a challenging task, as we need to consider both complex temporal and spatial patterns. Following the philosophy of the well-established “decomposition and ensemble” modeling framework, this paper proposes a novel multi-scale spatial–temporal ensemble learning methodology based on time-varying graph mode decomposition (TVGMD) and machine learning (ML) techniques to jointly analyze the temporal dynamics and spatial interactions of multi-station air quality at multiple timescales, aiming to achieve more accurate air quality predictions. The suggested methodology comprises four multi-scale modeling stages: (1) spatial–temporal decomposition by TVGMD; (2) feature selection via functional connectivity; (3) mode forecasting using ML techniques; and (4) forecast ensemble through simple addition. The novelty of this work stems from the application of TVGMD, which treats air quality time series as time-varying graphs and concurrently extracts constituent oscillatory modes along with their connectivity structures (called graph mode) in a fully data-driven manner. This will greatly help to capture spatial–temporal dependencies of the target station's air quality at each timescale. We conduct extensive experimental evaluations on an hourly PM2.5 concentration dataset containing records of 36 air quality monitoring stations in Beijing, China, and empirical results show that the developed methodology outperforms other comparable methods. Overall, this article offers a new perspective and an effective framework for air quality prediction as well as multi-scale spatial–temporal analysis.

Original languageEnglish
Article number128538
JournalExpert Systems with Applications
Volume291
ISSN0957-4174
DOIs
Publication statusPublished - 1 Oct 2025

Keywords

  • Air quality
  • Graph signal processing
  • Multi-scale modeling
  • Spatial-temporal analysis
  • Time series forecasting

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