A path-matrix algorithm yields irreducible Cartesian tensor decomposition matrices up to rank 9 and orthogonal bases of equivariant spaces, surpassing prior rank-5 and spanning-set limits.
Broadening the Scope of Neural Network Potentials through Direct Inclusion of Additional Molecular Attributes
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abstract
Most state-of-the-art neural network potentials do not account for molecular attributes other than atomic numbers and positions, which limits its range of applicability by design. In this work, we demonstrate the importance of including additional electronic attributes in neural network potential representations with a minimal architectural change to TensorNet, a state-of-the-art equivariant model based on Cartesian rank-2 tensor representations. By performing experiments on both custom-made and public benchmarking datasets, we show that this modification resolves the input degeneracy issues stemming from the use of atomic numbers and positions alone, while enhancing the model's predictive accuracy across diverse chemical systems with different charge or spin states. This is accomplished without tailored strategies or the inclusion of physics-based energy terms, while maintaining efficiency and accuracy. These findings should furthermore encourage researchers to train and use models incorporating these additional representations.
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cs.LG 1years
2024 1verdicts
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High-Rank Irreducible Cartesian Tensor Decomposition and Bases of Equivariant Spaces
A path-matrix algorithm yields irreducible Cartesian tensor decomposition matrices up to rank 9 and orthogonal bases of equivariant spaces, surpassing prior rank-5 and spanning-set limits.