Probing the effects of broken symmetries in machine learning

MF Langer, SN Pozdnyakov… - … Learning: Science and …, 2024 - iopscience.iop.org
Symmetry is one of the most central concepts in physics, and it is no surprise that it has also
been widely adopted as an inductive bias for machine-learning models applied to the …

SymmCD: Symmetry-Preserving Crystal Generation with Diffusion Models

D Levy, SS Panigrahi, SO Kaba, Q Zhu… - arxiv preprint arxiv …, 2025 - arxiv.org
Generating novel crystalline materials has potential to lead to advancements in fields such
as electronics, energy storage, and catalysis. The defining characteristic of crystals is their …

Equivariant symmetry breaking sets

YQ **e - 2024 - search.proquest.com
Equivariant neural networks (ENNs) have been shown to be extremely useful in many
applications involving some underlying symmetries. However, equivariant networks are …

On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory

A Perin, S Deny - arxiv preprint arxiv:2412.11521, 2024 - arxiv.org
Symmetries (transformations by group actions) are present in many datasets, and leveraging
them holds significant promise for improving predictions in machine learning. In this work …

Improving equivariant networks with probabilistic symmetry breaking

H Lawrence, V Portilheiro, Y Zhang… - ICML 2024 Workshop on …, 2024 - openreview.net
Equivariance builds known symmetries into neural networks, often improving generalization.
However, equivariant networks cannot break self-symmetries present in any given input …

Symmetry-Aware Generative Modeling through Learned Canonicalization

K Sareen, D Levy, AK Mondal, SO Kaba… - arxiv preprint arxiv …, 2025 - arxiv.org
Generative modeling of symmetric densities has a range of applications in AI for science,
from drug discovery to physics simulations. The existing generative modeling paradigm for …

Improved Canonicalization for Model Agnostic Equivariance

SS Panigrahi, AK Mondal - arxiv preprint arxiv:2405.14089, 2024 - arxiv.org
This work introduces a novel approach to achieving architecture-agnostic equivariance in
deep learning, particularly addressing the limitations of traditional equivariant architectures …

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach

Q Chen, L Li, Q Li, J Wu, A Wang, R Sun, X Luo… - arxiv preprint arxiv …, 2025 - arxiv.org
A common characteristic in integer linear programs (ILPs) is symmetry, allowing variables to
be permuted without altering the underlying problem structure. Recently, GNNs have …

SBDet: A Symmetry-Breaking Object Detector via Relaxed Rotation-Equivariance

Z Wu, Y Liu, H Dong, X Tang, J Yang, B **… - arxiv preprint arxiv …, 2024 - arxiv.org
Introducing Group Equivariant Convolution (GConv) empowers models to explore
symmetries hidden in visual data, improving their performance. However, in real-world …

Relaxed Rotational Equivariance via -Biases in Vision

Z Wu, L Sun, Y Liu, J Yang, H Dong, SHJ Lin… - arxiv preprint arxiv …, 2024 - arxiv.org
Group Equivariant Convolution (GConv) can effectively handle rotational symmetry data.
They assume uniform and strict rotational symmetry across all features, as the …