Understanding the role of symmetry in the physical sciences is critical for choosing an appropriate machine-learning method. While invariant models are the most prevalent symmetry-aware models, equivariant models such as Euclidean neural networks more faithfully represent physical interactions and are ready to take on challenges across the physical sciences.

中文翻译：

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机器学习中的欧几里得对称性和等方差

了解对称在物理科学中的作用对于选择合适的机器学习方法至关重要。不变模型是最流行的对称感知模型，而诸如欧几里得神经网络之类的等变模型则更忠实地表示物理相互作用，并随时准备应对物理科学方面的挑战。