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Localized Weather Prediction Using Kolmogorov-Arnold Network-Based Models and Deep RNNs

Main:11 Pages
13 Figures
Bibliography:4 Pages
4 Tables
Appendix:2 Pages
Abstract

Weather forecasting is crucial for managing risks and economic planning, particularly in tropical Africa, where extreme events severely impact livelihoods. Yet, existing forecasting methods often struggle with the region's complex, non-linear weather patterns. This study benchmarks deep recurrent neural networks such as LSTM, GRU, BiLSTM, BiGRU\texttt{LSTM, GRU, BiLSTM, BiGRU}, and Kolmogorov-Arnold-based models (KANandTKAN)(\texttt{KAN} and \texttt{TKAN}) for daily forecasting of temperature, precipitation, and pressure in two tropical cities: Abidjan, Cote dÍvoire (Ivory Coast) and Kigali (Rwanda). We further introduce two customized variants of $ \texttt{TKAN}$ that replace its original SiLU\texttt{SiLU} activation function with $ \texttt{GeLU}$ and \texttt{MiSH}, respectively. Using station-level meteorological data spanning from 2010 to 2024, we evaluate all the models on standard regression metrics. KAN\texttt{KAN} achieves temperature prediction (R2=0.9986R^2=0.9986 in Abidjan, 0.99980.9998 in Kigali, MSE<0.0014 C2\texttt{MSE} < 0.0014~^\circ C ^2), while TKAN\texttt{TKAN} variants minimize absolute errors for precipitation forecasting in low-rainfall regimes. The customized TKAN\texttt{TKAN} models demonstrate improvements over the standard TKAN\texttt{TKAN} across both datasets. Classical \texttt{RNNs} remain highly competitive for atmospheric pressure (R20.830.86R^2 \approx 0.83{-}0.86), outperforming KAN\texttt{KAN}-based models in this task. These results highlight the potential of spline-based neural architectures for efficient and data-efficient forecasting.

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