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English(EN) Tractable Inference with Kolmogorov-Arnold Networks

新的TOUCKANs架构为科学AI实现可处理推理

研究人员引入了具有可处理不确定性和约束的Kolmogorov-Arnold网络(TOUCKANs),这是一种专为计算科学设计的新型神经网络架构。与依赖昂贵的蒙特卡洛采样来计算统计量数的传统网络不同,TOUCKANs可以确定性地计算期望值、方差和守恒积分。这是通过一种可分解的加积表示实现的,该表示将推理简化为一维叶积分。该架构在各种维度的基准测试中表现出优越的性能,在均值和方差误差方面优于固定预算的蒙特卡洛方法。TOUCKANs还成功地对Cahn-Hilliard方程施加了质量守恒,并实现了薛定谔本征对的计算,将KAN近似与可处理的概率电路相结合。 AI

影响 TOUCKANs为科学AI中的统计推理提供了一种更有效、更准确的方法,有可能加速计算物理学和其他领域的研究。

排序理由 详细介绍新模型架构及其在科学基准测试中性能的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]

在 arXiv cs.LG 阅读 →

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新的TOUCKANs架构为科学AI实现可处理推理

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详细介绍新模型架构及其在科学基准测试中性能的学术论文。[lever_c_demoted from research: ic=1 ai=1.0]
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报道来源 [1]

  1. arXiv cs.LG TIER_1 English(EN) · Juan Diego Toscano, Sascha Ranft, Zhiwei Gao, Li-Lian Wang, George Em Karniadakis ·

    基于Kolmogorov-Arnold网络的易处理推理

    arXiv:2610.29909v1 Announce Type: cross Abstract: Machine-learning surrogates in computational science often require not only accurate predictions but also expectations, variances, conserved integrals, and normalization constants. Conventional neural networks, including Kolmogoro…