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Sinc Kolmogorov-Arnold Network Enhances PDE Solving

Researchers have introduced the Sinc Kolmogorov-Arnold Network (SincKAN), a novel neural network architecture that utilizes Sinc interpolation for learnable activation functions. This approach aims to improve the representation of both smooth functions and those with singularities, making it particularly effective for solving partial differential equations (PDEs) with physics-informed neural networks. Experimental results indicate that SincKANs outperform traditional methods in various applications. AI

RANK_REASON This is a research paper detailing a new neural network architecture and its application. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Tianchi Yu, Jingwei Qiu, Jiang Yang, Ivan Oseledets ·

    Sinc Kolmogorov-Arnold network and its application for solving PDEs with singularities

    arXiv:2410.04096v2 Announce Type: replace-cross Abstract: In this paper, we propose to use Sinc interpolation in the context of Kolmogorov-Arnold Networks, neural networks with learnable activation functions, which recently gained attention as alternatives to Multilayer Perceptro…