Extremely Large Reconfigurable Intelligent Surfaces (XL-RIS) have emerged as a transformative technology for controlling electromagnetic propagation in near-field wireless communication. However, optimizing their performance is challenging due to the complex spatial coupling and polarization effects in this regime-physical phenomena that are not fully captured by conventional models and result in intractable high-dimensional optimization problems. This paper proposes a hybrid learning-driven framework for maximizing the Effective Degrees of Freedom (EDoF) of XL-RIS-assisted systems. The proposed framework is grounded in an electromagnetically rigorous dyadic Green’s function-based channel model that accurately captures these critical near-field environment. To tackle the high-dimensional optimization problem efficiently, we introduce a novel method that combines a Multi-Layer Perceptron (MLP) as a fast performance surrogate with a Genetic Algorithm (GA) for global search. Comprehensive simulations demonstrate that the proposed framework achieves superior performance in achievable EDoF and channel capacity compared to existing benchmarks, effectively reveals the saturation behavior of spatial degrees of freedom and highlights the substantial gains enabled by polarization diversity. The results indicate that the integration of precise physical modeling with learning-based optimization offers an efficient and scalable approach for enhancing the performance of near-field XL-RIS.
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