新型神经网络架构改进函数逼近

作者 PulseAugur 编辑部 · [1 个来源] · 2026-08-09 19:27

研究人员开发了一种利用元辛群算子（metaplectic operators）的新型神经网络，扩展了Barron空间的概念。这种被称为神经元辛群字典（neural metaplectic dictionaries）的方法可以更有效地逼近函数，尤其是在求解时间相关的薛定谔方程方面。在新架构的应用中，其性能优于现有的物理信息神经网络。 AI

影响引入了一种新颖的神经网络架构，增强了函数逼近能力，有望提高科学计算任务的性能。

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Hugging Face Daily Papers TIER_1 English(EN) · 2026-08-09 19:27

Metaplectic神经网络的逼近率

In this paper we develop quantitative approximation results for shallow neural networks constructed using a dictionary based on metaplectic operators. First, we extend the concept of Barron spaces by considering a symplectically motivated extension of the Fourier transform, known…

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Metaplectic神经网络的逼近率

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