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arXiv 提交日期: 2026-02-05
📄 Abstract - Clifford Kolmogorov-Arnold Networks

We introduce Clifford Kolmogorov-Arnold Network (ClKAN), a flexible and efficient architecture for function approximation in arbitrary Clifford algebra spaces. We propose the use of Randomized Quasi Monte Carlo grid generation as a solution to the exponential scaling associated with higher dimensional algebras. Our ClKAN also introduces new batch normalization strategies to deal with variable domain input. ClKAN finds application in scientific discovery and engineering, and is validated in synthetic and physics inspired tasks.

顶级标签: machine learning model training theory
详细标签: clifford algebra function approximation neural architecture scientific machine learning quasi monte carlo 或 搜索:

克利福德-柯尔莫哥洛夫-阿诺德网络 / Clifford Kolmogorov-Arnold Networks


1️⃣ 一句话总结

这篇论文提出了一种名为ClKAN的新型神经网络架构,它能够高效地近似处理克利福德代数空间中的函数,并通过创新的随机准蒙特卡洛网格生成和批量归一化策略,解决了高维代数计算量爆炸和输入域变化的问题,在科学发现和工程任务中具有应用潜力。

源自 arXiv: 2602.05977