Kolmogorov-Arnold Networks Enhance Spatio-Temporal Forecasting

Sicong Lai, Yuehong Hu, Siru Zhong, Si Qiao, Yuxuan Liang, Guangyin Jin· July 16, 2026 View original

Summary

This paper introduces STKAN, a novel spatio-temporal forecasting architecture that integrates Taylor-polynomial Kolmogorov-Arnold Network (KAN) modules into spatial and temporal token mixing. STKAN achieves competitive performance on traffic forecasting benchmarks by improving the underlying nonlinear function approximator, complementing traditional architectural designs.

Spatio-temporal forecasting, particularly for complex data like traffic, faces challenges due to heterogeneous spatial correlations and nonlinear temporal dynamics. While existing methods have focused on sophisticated architectures like graphs and attention mechanisms, the role of the underlying nonlinear function approximator has been less explored. This research proposes STKAN, a new architecture that incorporates Taylor-polynomial Kolmogorov-Arnold Network (KAN) modules. These KAN modules are integrated into both spatial and temporal token mixing processes. STKAN first creates high-level spatial representations using a learnable soft node-group assignment, then applies group-wise spatial mixing, and finally models temporal dependencies. The model also utilizes spatial and temporal self-attention layers to capture long-range interactions. Experiments on five traffic forecasting benchmarks demonstrate that STKAN achieves competitive performance, often outperforming MLP-based variants. This suggests that enhancing nonlinear function approximators can significantly complement architectural design in spatio-temporal forecasting.

Why it matters

Professionals in logistics, urban planning, and smart infrastructure can benefit from more accurate spatio-temporal forecasts, leading to better resource allocation, traffic management, and operational efficiency.

How to implement this in your domain

  1. 1Explore the application of Kolmogorov-Arnold Networks (KANs) as nonlinear function approximators in existing spatio-temporal models.
  2. 2Investigate STKAN's approach to constructing high-level spatial representations for traffic or similar network data.
  3. 3Consider integrating group-wise spatial mixing and temporal dependency modeling for improved forecasting.
  4. 4Benchmark STKAN against current MLP-based or attention-based spatio-temporal forecasting solutions.
  5. 5Apply STKAN principles to optimize resource allocation or predictive maintenance in relevant domains.

Who benefits

LogisticsSmart CitiesTransportationEnergyTelecommunications

Key takeaways

  • Kolmogorov-Arnold Networks (KANs) can significantly improve spatio-temporal forecasting.
  • Enhancing nonlinear function approximators complements traditional architectural designs.
  • STKAN effectively models heterogeneous spatial correlations and nonlinear temporal dynamics.
  • The model shows competitive performance on various traffic forecasting benchmarks.

Original post by Sicong Lai, Yuehong Hu, Siru Zhong, Si Qiao, Yuxuan Liang, Guangyin Jin

"arXiv:2607.13108v1 Announce Type: new Abstract: Real-world traffic data exhibit heterogeneous spatial correlations and nonlinear temporal dynamics, posing substantial challenges for accurate spatio-temporal forecasting. Existing approaches have developed increasingly sophisticate…"

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Originally posted by Sicong Lai, Yuehong Hu, Siru Zhong, Si Qiao, Yuxuan Liang, Guangyin Jin on X · view source

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