<ul><li>MNO (Mamba Neural Operator) is a novel framework that enhances neural operator-based techniques for solving PDEs.</li><li>MNO establishes a theoretical connection between structured state-space models (SSMs) and neural operators, offering a unified structure that can adapt to diverse architectures.</li><li>MNO captures long-range dependencies and continuous dynamics more effectively than traditional Transformers, making it a superior framework for PDE-related tasks.</li><li>Through extensive analysis, MNO has been shown to significantly boost the expressive power and accuracy of neural operators.</li></ul>

Mamba Neural Operator: Who Wins? Transformers vs. State-Space Models for PDEs

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