Probing the effects of broken symmetries in machine learning
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 …
been widely adopted as an inductive bias for machine-learning models applied to the …
SymmCD: Symmetry-Preserving Crystal Generation with Diffusion Models
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 …
as electronics, energy storage, and catalysis. The defining characteristic of crystals is their …
Equivariant symmetry breaking sets
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Equivariant neural networks (ENNs) have been shown to be extremely useful in many
applications involving some underlying symmetries. However, equivariant networks are …
applications involving some underlying symmetries. However, equivariant networks are …
On the Ability of Deep Networks to Learn Symmetries from Data: A Neural Kernel Theory
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 …
them holds significant promise for improving predictions in machine learning. In this work …
Improving equivariant networks with probabilistic symmetry breaking
Equivariance builds known symmetries into neural networks, often improving generalization.
However, equivariant networks cannot break self-symmetries present in any given input …
However, equivariant networks cannot break self-symmetries present in any given input …
Symmetry-Aware Generative Modeling through Learned Canonicalization
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 …
from drug discovery to physics simulations. The existing generative modeling paradigm for …
Improved Canonicalization for Model Agnostic Equivariance
This work introduces a novel approach to achieving architecture-agnostic equivariance in
deep learning, particularly addressing the limitations of traditional equivariant architectures …
deep learning, particularly addressing the limitations of traditional equivariant architectures …
When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach
A common characteristic in integer linear programs (ILPs) is symmetry, allowing variables to
be permuted without altering the underlying problem structure. Recently, GNNs have …
be permuted without altering the underlying problem structure. Recently, GNNs have …
SBDet: A Symmetry-Breaking Object Detector via Relaxed Rotation-Equivariance
Introducing Group Equivariant Convolution (GConv) empowers models to explore
symmetries hidden in visual data, improving their performance. However, in real-world …
symmetries hidden in visual data, improving their performance. However, in real-world …
Relaxed Rotational Equivariance via -Biases in Vision
Group Equivariant Convolution (GConv) can effectively handle rotational symmetry data.
They assume uniform and strict rotational symmetry across all features, as the …
They assume uniform and strict rotational symmetry across all features, as the …