---
id: 20260704-T0-05
title: "Spin-Weighted球谐函数：E(3)等变网络可扩展到更大系统"
title_en: "Spin-Weighted Spherical Harmonics Enable Scalable E(3)-Equivariant Networks"
url: https://ai.daily.yangsir.net/daily/20260704-T0-05
issue_date: 2026-07-04
publish_date: 2026-07-03T04:00:00.000Z
source_name: "arXiv cs.LG (ML)"
source_url: https://arxiv.org/abs/2607.01408
---

# Spin-Weighted球谐函数：E(3)等变网络可扩展到更大系统

E(3)等变网络在3D原子系统建模中表现优异，但受限于Clebsch-Gordan张量积(CGTP)的O(L^6)复杂度。该研究使用Spin-Weighted球谐函数替代CGTP，将复杂度降至O(L^3)，在多个分子属性预测任务上保持精度，使等变网络可扩展到更大系统。

## English Version

**Spin-Weighted Spherical Harmonics Enable Scalable E(3)-Equivariant Networks**

E(3)-equivariant networks excel in 3D atomistic modeling but are limited by O(L^6) complexity of CGTP. This paper replaces CGTP with Spin-Weighted spherical harmonics, reducing complexity to O(L^3) while maintaining accuracy on multiple molecular property prediction tasks, enabling scaling to larger systems.

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**来源**：[arXiv cs.LG (ML)](https://arxiv.org/abs/2607.01408)

**详情页**：https://ai.daily.yangsir.net/daily/20260704-T0-05

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