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Paper · arXiv

Learning with Volterra Neural Networks: A System Theoretic Perspective

Higher-order interaction components are important for signal, image, and video modeling, but explicit high-order operators often suffer from rapidly increasing parameter and computational costs. This paper presents kVNN, a learnable kernelized Volterra Neural operator for compact higher-order filtering. The motivation is to use kernelization to improve the efficiency of Volterra-type neural operators while providing a structured interpretation of their higher-order components. The proposed formulation combines the order-wise structure of Volterra filtering with learnable polynomial-kernel atoms, allowing different interaction orders to be represented by separate learnable centers and coef...

AuthorsHaoyu Yun, Hamid Krim, Yufang Bao
Primary categorycs.CV
Published1 September 2026
Last updated at source25 September 2026
cs.CV
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