LLM-Empowered Kolmogorov-Arnold Frequency Learning for Time Series Forecasting in Power Systems

Zheng Yang, Yang Yu (), Shanshan Lin and Yue Zhang
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Zheng Yang: School of Information and Engineering, Shenyang University of Technology, Shenyang 110870, China
Yang Yu: School of Information and Engineering, Shenyang University of Technology, Shenyang 110870, China
Shanshan Lin: School of Information and Engineering, Shenyang University of Technology, Shenyang 110870, China
Yue Zhang: School of Information and Engineering, Shenyang University of Technology, Shenyang 110870, China

Mathematics, 2025, vol. 13, issue 19, 1-15

Abstract: With the rapid evolution of artificial intelligence technologies in power systems, data-driven time-series forecasting has become instrumental in enhancing the stability and reliability of power systems, allowing operators to anticipate demand fluctuations and optimize energy distribution. Despite the notable progress made by current methods, they are still hindered by two major limitations: most existing models are relatively small in architecture, failing to fully leverage the potential of large-scale models, and they are based on fixed nonlinear mapping functions that cannot adequately capture complex patterns, leading to information loss. To this end, an LLM-Empowered Kolmogorov–Arnold frequency learning (LKFL) is proposed for time series forecasting in power systems, which consists of LLM-based prompt representation learning, KAN-based frequency representation learning, and entropy-oriented cross-modal fusion. Specifically, LKFL first transforms multivariable time-series data into text prompts and leverages a pre-trained LLM to extract semantic-rich prompt representations. It then applies Fast Fourier Transform to convert the time-series data into the frequency domain and employs Kolmogorov–Arnold networks (KAN) to capture multi-scale periodic structures and complex frequency characteristics. Finally, LKFL integrates the prompt and frequency representations through an entropy-oriented cross-modal fusion strategy, which minimizes the semantic gap between different modalities and ensures full integration of complementary information. This comprehensive approach enables LKFL to achieve superior forecasting performance in power systems. Extensive evaluations on five benchmarks verify that LKFL sets a new standard for time-series forecasting in power systems compared with baseline methods.

Keywords: time series forecasting; Kolmogorov-Arnold frequency learning; entropy-driven cross-modal fusion (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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