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Atomic Cluster Expansion without Self-Interaction
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The Atomic Cluster Expansion (ACE) (Drautz, Phys. Rev. B 99, 2019) has been widely applied in high energy physics, quantum mechanics and atomistic modeling to construct many-body interaction models respecting physical symmetries. Computational efficiency is achieved by allowing non-physical self-interaction terms in the model. We propose and analyze an efficient method to evaluate and parameterize an orthogonal, or, non-self-interacting cluster expansion model. We present numerical experiments demonstrating improved conditioning and more robust approximation properties than the original expansion in regression tasks both in simplified toy problems and in applications in the machine learning of interatomic potentials.
Forward citations
Cited by 2 Pith papers
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On the Dimension-Free Approximation of Deep Neural Networks for Symmetric Korobov Functions
Symmetric squared-ReLU networks approximate symmetric Korobov functions at rate O(m^{-1}) with a dimension-independent prefactor, and gradient-based learning achieves M^{-2/3} generalization error.
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A Study on the Fine-Tuning Performance of Universal Machine-Learned Interatomic Potentials (U-MLIPs)
Fine-tuning universal MACE potentials on targeted datasets generally improves accuracy and convergence speed, though data selection, not the foundation model alone, determines success.
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