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.

Archives

Acknowledgements

We thank the MIT Department of Mathematics, Student Chapter of SIAM, ORCD, and LLSC for their generous support of this series.

MIT Math CSAIL EAPS Lincoln Lab Harvard Astronomy

Accessibility