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Predicting tensorial molecular properties with equivariant machine learning models

Nguyen Vu Ha Anh, Alessandro Lunghi

2022Physical review. B./Physical review. B49 citationsDOIOpen Access PDF

Abstract

Embedding molecular symmetries into machine learning models is key for efficient learning of chemico-physical scalar properties, but little evidence on how to extend the same strategy to tensorial quantities exists. Here we formulate a scalable equivariant machine learning model based on local atomic environment descriptors. We apply it to a series of molecules and show that accurate predictions can be achieved for a comprehensive list of dielectric and magnetic tensorial properties of different ranks. These results show that equivariant models are a promising platform to extend the scope of machine learning in materials modeling.

Topics & Concepts

Equivariant mapHomogeneous spaceEmbeddingKey (lock)Computer scienceScope (computer science)Scalar (mathematics)ScalabilityArtificial intelligenceMachine learningTheoretical computer scienceMathematicsPure mathematicsProgramming languageGeometryDatabaseComputer securityMachine Learning in Materials ScienceComputational Drug Discovery MethodsX-ray Diffraction in Crystallography
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