Publications in Scientific Journals:

S. Bulusu, M. Favoni, A. Ipp, D. Mueller, D. Schuh:
"Generalization capabilities of translationally equivariant neural networks";
Physical Review D, 104 (2021), 7; 074504.

English abstract:
The rising adoption of machine learning in high-energy physics and lattice field theory necessitates the reevaluation of common methods that are widely used in computer vision, which, when applied to problems in physics, can lead to significant drawbacks in terms of performance and generalizability. One particular example for this is the use of neural network architectures that do not reflect the underlying symmetries of the given physical problem. In this work, we focus on complex scalar field theory on a two-dimensional lattice and investigate the benefits of using group equivariant convolutional neural network architectures based on the translation group. For a meaningful comparison, we conduct a systematic search for equivariant and nonequivariant neural network architectures and apply them to various regression and classification tasks. We demonstrate that in most of these tasks our best equivariant architectures can perform and generalize significantly better than their nonequivariant counterparts, which applies not only to physical parameters beyond those represented in the training set, but also to different lattice sizes.

"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)

Related Projects:
Project Head Andreas Ipp:

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