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Article

Patch-Based Transformer–Graph Framework (PTSTG) for Traffic Forecasting in Transportation Systems

by
Grach Mkrtchian
* and
Mikhail Gorodnichev
Russian Federation, Moscow Technical University of Communication and Informatics, 111024 Moscow, Russia
*
Author to whom correspondence should be addressed.
Appl. Sci. 2025, 15(19), 10468; https://doi.org/10.3390/app151910468 (registering DOI)
Submission received: 8 September 2025 / Revised: 24 September 2025 / Accepted: 25 September 2025 / Published: 26 September 2025
(This article belongs to the Special Issue Computer Vision of Edge AI on Automobile)

Abstract

Accurate traffic forecasting underpins intelligent transportation systems. We present PTSTG, a compact spatio-temporal forecaster that couples a patch-based Transformer encoder with a data-driven adaptive adjacency and lightweight node graph blocks. The temporal module tokenizes multivariate series into fixed-length patches to capture short- and long-range patterns in a single pass, while the graph module refines node embeddings via learned inter-node aggregation. A horizon-specific head emits all steps simultaneously. On standard benchmarks (METR-LA, PEMS-BAY) and the LargeST (SD) split with horizons {3,6,12}{15,30,60} minutes, PTSTG delivers competitive point-estimate results relative to recent temporal graph models. On METR-LA/PEMS-BAY, it remains close to strong baselines (e.g., DCRNN) without surpassing them; on LargeST, it attains favorable average RMSE/MAE while trailing the strongest hybrids on some horizons. The design preserves a compact footprint and single-pass, multi-horizon inference, and offers clear capacity-driven headroom without architectural changes.
Keywords: traffic forecasting; intelligent transportation systems; spatio-temporal modeling; transformer; graph neural networks; adaptive adjacency; time series prediction; deep learning traffic forecasting; intelligent transportation systems; spatio-temporal modeling; transformer; graph neural networks; adaptive adjacency; time series prediction; deep learning

Share and Cite

MDPI and ACS Style

Mkrtchian, G.; Gorodnichev, M. Patch-Based Transformer–Graph Framework (PTSTG) for Traffic Forecasting in Transportation Systems. Appl. Sci. 2025, 15, 10468. https://doi.org/10.3390/app151910468

AMA Style

Mkrtchian G, Gorodnichev M. Patch-Based Transformer–Graph Framework (PTSTG) for Traffic Forecasting in Transportation Systems. Applied Sciences. 2025; 15(19):10468. https://doi.org/10.3390/app151910468

Chicago/Turabian Style

Mkrtchian, Grach, and Mikhail Gorodnichev. 2025. "Patch-Based Transformer–Graph Framework (PTSTG) for Traffic Forecasting in Transportation Systems" Applied Sciences 15, no. 19: 10468. https://doi.org/10.3390/app151910468

APA Style

Mkrtchian, G., & Gorodnichev, M. (2025). Patch-Based Transformer–Graph Framework (PTSTG) for Traffic Forecasting in Transportation Systems. Applied Sciences, 15(19), 10468. https://doi.org/10.3390/app151910468

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