COMPUTATIONAL RESEARCH in BOSTON and BEYOND (CRIBB)

Date Mar 7, 2025
Speaker Elyssa Hofgard (MIT)
Topic Using E(3)-Equivariant Neural Networks (ENNs) to Uncover Symmetry-Implied Missing Information
Abstract

We demonstrate how E(3)-Equivariant Neural Networks (ENNs) can detect symmetry breaking in physical data and reveal hidden symmetry-implied information. Symmetry breaking, whether spontaneous (as in crystalline phase transitions) or induced by external forces, plays a crucial role in our understanding of physical systems. We show that an external input parameter to a fully equivariant model can be used to break symmetry in a physically interpretable way. We apply our approach to altermagnets, a new class of magnetic materials, in order to learn magnetic multipoles.

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Acknowledgements

We thank the generous support of MIT IS&T, CSAIL, and the Department of Mathematics for their support of this series.

MIT Math CSAIL EAPS Lincoln Lab Harvard Astronomy

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