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20102026
most citedE(3)-Equivariant Graph Neural Networks for Data-Efficient and Accurate Interatomic Potentials

1.9k citations · 4k across the 54 of their papers we have counts for

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26 papers · 1 filter

cs.LG2026

EquiformerV3: Scaling Efficient, Expressive, and General SE(3)-Equivariant Graph Attention Transformers

Yi-Lun Liao, Alexander J. Hoffman, Sabrina C. Shen +3

As -equivariant graph neural networks mature as a core tool for 3D atomistic modeling, improving their efficiency, expressivity, and physical consistency has become a centra…

cs.LG2026

Asymptotically Fast Clebsch-Gordan Tensor Products with Vector Spherical Harmonics

YuQing Xie, Ameya Daigavane, Mit Kotak +1

-equivariant neural networks have proven to be effective in a wide range of 3D modeling tasks. A fundamental operation of such networks is the tensor product, which allows in…

cs.LG2025

Matching the Optimal Denoiser in Point Cloud Diffusion with (Improved) Rotational Alignment

Ameya Daigavane, YuQing Xie, Bodhi P. Vani +3

Diffusion models are a popular class of generative models trained to reverse a noising process starting from a target data distribution. Training a diffusion model consists of lear…

cs.LG2025

To Augment or Not to Augment? Diagnosing Distributional Symmetry Breaking

Hannah Lawrence, Elyssa Hofgard, Vasco Portilheiro +3

Symmetry-aware methods for machine learning, such as data augmentation and equivariant architectures, encourage correct model behavior on all transformations (e.g. rotations or per…

cs.LG2025

The Price of Freedom: Exploring Expressivity and Runtime Tradeoffs in Equivariant Tensor Products

YuQing Xie, Ameya Daigavane, Mit Kotak +1

-equivariant neural networks have demonstrated success across a wide range of 3D modelling tasks. A fundamental operation in these networks is the tensor product, which inter…

cs.LG2025

A Tale of Two Symmetries: Exploring the Loss Landscape of Equivariant Models

YuQing Xie, Tess Smidt

Equivariant neural networks have proven to be effective for tasks with known underlying symmetries. However, optimizing equivariant networks can be tricky and best training practic…

cs.LG2024

A Cosmic-Scale Benchmark for Symmetry-Preserving Data Processing

Julia Balla, Siddharth Mishra-Sharma, Carolina Cuesta-Lazaro +2

Efficiently processing structured point cloud data while preserving multiscale information is a key challenge across domains, from graphics to atomistic modeling. Using a curated d…

cs.LG2024★ 2 cited

EquiJump: Protein Dynamics Simulation via SO(3)-Equivariant Stochastic Interpolants

Allan dos Santos Costa, Ilan Mitnikov, Franco Pellegrini +7

Mapping the conformational dynamics of proteins is crucial for elucidating their functional mechanisms. While Molecular Dynamics (MD) simulation enables detailed time evolution of…

cs.LG2024

Relaxed Equivariant Graph Neural Networks

Elyssa Hofgard, Rui Wang, Robin Walters +1

3D Euclidean symmetry equivariant neural networks have demonstrated notable success in modeling complex physical systems. We introduce a framework for relaxed graph equivari…

cs.LG2024★ 4 cited

Generalizing Denoising to Non-Equilibrium Structures Improves Equivariant Force Fields

Yi-Lun Liao, Tess Smidt, Muhammed Shuaibi +1

Understanding the interactions of atoms such as forces in 3D atomistic systems is fundamental to many applications like molecular dynamics and catalyst design. However, simulating…

cs.LG2024

Equivariant Symmetry Breaking Sets

YuQing Xie, Tess Smidt

Equivariant neural networks (ENNs) have been shown to be extremely effective in applications involving underlying symmetries. By construction ENNs cannot produce lower symmetry out…

cs.LG2023★ 4 cited

Symphony: Symmetry-Equivariant Point-Centered Spherical Harmonics for 3D Molecule Generation

Ameya Daigavane, Song Kim, Mario Geiger +1

We present Symphony, an -equivariant autoregressive generative model for 3D molecular geometries that iteratively builds a molecule from molecular fragments. Existing autoreg…

cs.LG2023★ 2 cited

Ophiuchus: Scalable Modeling of Protein Structures through Hierarchical Coarse-graining SO(3)-Equivariant Autoencoders

Allan dos Santos Costa, Ilan Mitnikov, Mario Geiger +3

Three-dimensional native states of natural proteins display recurring and hierarchical patterns. Yet, traditional graph-based modeling of protein structures is often limited to ope…

cs.LG2023

Discovering Symmetry Breaking in Physical Systems with Relaxed Group Convolution

Rui Wang, Elyssa Hofgard, Han Gao +2

Modeling symmetry breaking is essential for understanding the fundamental changes in the behaviors and properties of physical systems, from microscopic particle interactions to mac…

cs.LG2023★ 16 cited

Artificial Intelligence for Science in Quantum, Atomistic, and Continuum Systems

Xuan Zhang, Limei Wang, Jacob Helwig +60

Advances in artificial intelligence (AI) are fueling a new paradigm of discoveries in natural sciences. Today, AI has started to advance natural sciences by improving, accelerating…

cs.LG2023★ 88 cited

EquiformerV2: Improved Equivariant Transformer for Scaling to Higher-Degree Representations

Yi-Lun Liao, Brandon Wood, Abhishek Das +1

Equivariant Transformers such as Equiformer have demonstrated the efficacy of applying Transformers to the domain of 3D atomistic systems. However, they are limited to small degree…

cs.LG2022★ 1 cited

Learning Integrable Dynamics with Action-Angle Networks

Ameya Daigavane, Arthur Kosmala, Miles Cranmer +2

Machine learning has become increasingly popular for efficiently modelling the dynamics of complex physical systems, demonstrating a capability to learn effective models for dynami…

cs.LG2022★ 116 cited

e3nn: Euclidean Neural Networks

Mario Geiger, Tess Smidt

We present e3nn, a generalized framework for creating E(3) equivariant trainable functions, also known as Euclidean neural networks. e3nn naturally operates on geometry and geometr…

cs.LG2022★ 69 cited

Equiformer: Equivariant Graph Attention Transformer for 3D Atomistic Graphs

Yi-Lun Liao, Tess Smidt

Despite their widespread success in various domains, Transformer networks have yet to perform well across datasets in the domain of 3D atomistic graphs such as molecules even when…

cs.LG2022★ 25 cited

Sign and Basis Invariant Networks for Spectral Graph Representation Learning

Derek Lim, Joshua Robinson, Lingxiao Zhao +4

We introduce SignNet and BasisNet -- new neural architectures that are invariant to two key symmetries displayed by eigenvectors: (i) sign flips, since if is an eigenvector the…

cs.LG2022★ 23 cited

Generative Coarse-Graining of Molecular Conformations

Wujie Wang, Minkai Xu, Chen Cai +5

Coarse-graining (CG) of molecular simulations simplifies the particle representation by grouping selected atoms into pseudo-beads and drastically accelerates simulation. However, s…

cs.LG2021

Deep Learning and Spectral Embedding for Graph Partitioning

Alice Gatti, Zhixiong Hu, Tess Smidt +2

We present a graph bisection and partitioning algorithm based on graph neural networks. For each node in the graph, the network outputs probabilities for each of the partitions. Th…

cs.LG2021★ 1 cited

Graph Partitioning and Sparse Matrix Ordering using Reinforcement Learning and Graph Neural Networks

Alice Gatti, Zhixiong Hu, Tess Smidt +2

We present a novel method for graph partitioning, based on reinforcement learning and graph convolutional neural networks. Our approach is to recursively partition coarser represen…

cs.LG2020★ 47 cited

Relevance of Rotationally Equivariant Convolutions for Predicting Molecular Properties

Benjamin Kurt Miller, Mario Geiger, Tess E. Smidt +1

Equivariant neural networks (ENNs) are graph neural networks embedded in and are well suited for predicting molecular properties. The ENN library e3nn has customizab…