Comprehensive Molecular Representation from Equivariant Transformer

Fuente: arXiv
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Autores principales: Tao, Nianze, Morimoto, Hiromi, Leoni, Stefano
Formato: Preprint
Publicado: 2023
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author Tao, Nianze
Morimoto, Hiromi
Leoni, Stefano
author_facet Tao, Nianze
Morimoto, Hiromi
Leoni, Stefano
contents The tradeoff between precision and performance in molecular simulations can nowadays be addressed by machine-learned force fields (MLFF), which combine \textit{ab initio} accuracy with force field numerical efficiency. Different from conventional force fields however, incorporating relevant electronic degrees of freedom into MLFFs becomes important. Here, we implement an equivariant transformer that embeds molecular net charge and spin state without additional neural network parameters. The model trained on a singlet/triplet non-correlated \ce{CH2} dataset can identify different spin states and shows state-of-the-art extrapolation capability. Therein, self-attention sensibly captures non-local effects, which, as we show, can be finely tuned over the network hyper-parameters. We indeed found that Softmax activation functions utilised in the self-attention mechanism of graph networks outperformed ReLU-like functions in prediction accuracy. Increasing the attention temperature from $τ= \sqrt{d}$ to $\sqrt{2d}$ further improved the extrapolation capability, indicating a weighty role of nonlocality. Additionally, a weight initialisation method was purposed that sensibly accelerated the training process.
format Preprint
id arxiv_https___arxiv_org_abs_2308_10752
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Comprehensive Molecular Representation from Equivariant Transformer
Tao, Nianze
Morimoto, Hiromi
Leoni, Stefano
Computational Physics
Materials Science
Atomic and Molecular Clusters
Chemical Physics
The tradeoff between precision and performance in molecular simulations can nowadays be addressed by machine-learned force fields (MLFF), which combine \textit{ab initio} accuracy with force field numerical efficiency. Different from conventional force fields however, incorporating relevant electronic degrees of freedom into MLFFs becomes important. Here, we implement an equivariant transformer that embeds molecular net charge and spin state without additional neural network parameters. The model trained on a singlet/triplet non-correlated \ce{CH2} dataset can identify different spin states and shows state-of-the-art extrapolation capability. Therein, self-attention sensibly captures non-local effects, which, as we show, can be finely tuned over the network hyper-parameters. We indeed found that Softmax activation functions utilised in the self-attention mechanism of graph networks outperformed ReLU-like functions in prediction accuracy. Increasing the attention temperature from $τ= \sqrt{d}$ to $\sqrt{2d}$ further improved the extrapolation capability, indicating a weighty role of nonlocality. Additionally, a weight initialisation method was purposed that sensibly accelerated the training process.
title Comprehensive Molecular Representation from Equivariant Transformer
topic Computational Physics
Materials Science
Atomic and Molecular Clusters
Chemical Physics
url https://arxiv.org/abs/2308.10752