English(EN) Integral Formulas for Vector Signal Tensor Products

新公式简化了SO(3)-等变神经网络的张量积

作者 PulseAugur 编辑部 · [1 个来源] · 2026-06-09 04:00

研究人员开发了新的积分公式来简化向量信号张量积，这是Gaunt张量积的推广。这些公式能够将张量积的评估次数显著减少多达九倍。这些发现有望促进向量信号张量积在SO(3)-等变神经网络中的高效实现，并提供一种管理这些网络中表达能力与运行时间之间权衡的方法。 AI

影响引入了可能提高SO(3)-等变神经网络效率和表达能力的数学工具。

排序理由学术论文，详细介绍了用于张量积的新数学公式，并可能应用于神经网络。 [lever_c_demoted from research: ic=1 ai=1.0]

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arXiv cs.LG TIER_1 English(EN) · Valentin Heyraud, Zachary Weller-Davies, Jules Tilly · 2026-06-09 04:00

向量信号张量积的积分公式

arXiv:2603.08630v2 Announce Type: replace Abstract: We derive integral formulas that simplify the Vector Signal Tensor Product recently introduced by Xie et al., which generalizes the Gaunt tensor product to anti-symmetric couplings. In particular, we obtain explicit closed-form …