Equivariance

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4 papers in the last four weeks, against 2 the four weeks before. 0.0% of all new papers.

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Latest papers 32

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EMERGE: Resolution-Agnostic Point Cloud Generation with Equivariant Graph-Based Diffusion
Sep 22, 2026Ilias Mitsouras, Nikolaos Chaidos, Giorgos Stamou +1Point Clouds 3D Generative Models
National Technical University of Athens Athens, Greece
Theory for groupoid equivariant neural networks: an approach for steerable CNNs on bounded domains
Sep 22, 2026Alberto Ibort, Maria Jimenez-Vazquez, Juan M. Perez-PardoEquivariant Neural Networks Equivariance
Universidad Carlos III de Madrid, ROR: 03ths8210, Departamento de Matem´aticas, Avenida de la Universidad 30 (edificio Sabatini), 28911 Legan´es (Madrid), Espa˜na. · Instituto de Ciencias Matem´aticas ICMAT (CSIC-UAM-UC3M-UCM), ROR: 05e9bn444, Campus de Cantoblanco UAM, Calle Nicol´as Cabrera 13-15, 28049 Madrid, Espa˜na.
Graded Representation Theory of Equivariant Neural Networks
Sep 22, 2026Mani ShayestehfarEquivariant Neural Networks Equivariance
Equivariance Breaks the Learning Rate
Sep 8, 2026Andrei Manolache, Mathias NiepertAdam Equivariant Neural Networks
University of Stuttgart, Germany · Bitdefender, Romania
No Equivariant Architecture Covers All Equivariant Attention
Aug 31, 2026Tīkun ÔngMulti-Head Attention Equivariance
Reducing Symmetry Increase in Equivariant Neural Networks
Aug 12, 2026Ning Lin, Jiacheng Cen, Anyi Li +2Equivariant Neural Networks Equivariance
Gaoling School of Artificial Intelligence, Renmin University of China, Beijing, China
Adaptive Symmetry Discovery for Dynamical System Identification
Aug 8, 2026Behrooz Tahmasebi, Melanie WeberSystem Identification Dynamical Systems
Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA.
Flash EQ-Linear: Accelerating Equivariant Linear Layers via Group-wise Discrete Fourier Transform
Jul 23, 2026Zhongchen Zhao, Jixin Wang, Qi Xie +4Equivariant Neural Networks Rotation Equivariance
Xi’an Jiaotong University · The Hong Kong Polytechnic University · OPPO Research
BridgeFlow: Fast and Robust SE(2)-Equivariant Motion Planning with Flow Matching
Jul 16, 2026Xinzhe Zhou, Xuyang Wang, Xiaoming Duan +1Motion Planning Equivariance
†All authors are with the School of Automation and Intelligent Sensing, Shanghai Jiao Tong University, Shanghai, China.
Pix2Act: Image-Space Manipulation Policies with Equivariant Augmentation
Jul 13, 2026Haojie Huang, Linfeng Zhao, Haotian Liu +9Robotic Manipulation Policies Imitation Learning
1Northeastern University · 2Stanford University · University of Pennsylvania +2
When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws
Jul 7, 2026Fabien PollyLie Group Equivariance
Equivariance and Augmentation for Bayesian Neural Networks
Jun 24, 2026Miaowen Dong, Axel Flinth, Jan E. GerkenBayesian Neural Networks Equivariant Neural Networks
Department of Mathematical Sciences, Chalmers University of Technology and the University of Gothenburg, SE-412 96 Gothenburg, Sweden. · Department of Mathematics and Mathematical Statistics, Umeå University, Linnéus väg 49, 901 87 Umeå, Sweden.
REViT: Roto-reflection Equivariant Convolutional Vision Transformer
Jun 24, 2026Sheir A. Zaheer, Alexander C. Holston, Chan Y. ParkSelf-Supervised Vision Transformers Rotation Equivariance
1KC Machine Learning Lab, Seoul, Rep. of Korea.
Conformal Orbit-Valid Trust Horizons for Equivariant World Models
Jun 23, 2026Hongbo WangWorld Models Horizon
Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USA
What Do Lorentz-Equivariant Jet Taggers Learn?
Jun 19, 2026Jay Agarwal, Siddharth Khare, Dhruv KumarEquivariance Tagging
BITS Pilani, Pilani, India.
Bayesian 3D Steerable CNNs: Enabling Equivariance and Uncertainty Quantification Simultaneously
Jun 13, 2026Abhishek Keripale, Ponkrshnan Thiagarajan, Susanta GhoshUncertainty-Aware Classification Bayesian Neural Networks
Department of Mechanical and Aerospace Engineering, Michigan Technological University, Houghton, MI 49931 · Hopkins Extreme Materials Institute, Johns Hopkins University, Baltimore, MD 21218 · The Center for Artificial Intelligence at the Institute of Computing and Cybersystems, Michigan Technological University, USA
EqGINO: Equivariant Geometry-Informed Fourier Neural Operators for 3D PDEs
Jun 2, 2026Sungwon Kim, Juho Song, Seungmin Shin +3Rotation Equivariance Fourier Neural Operators
Graduate School of Data Science, KAIST, Daejeon, Republic of Korea · Mathematical Sciences, KAIST, Daejeon, Republic of Korea · LG Electronics, Pyeong-taek, Republic of Korea +1
Exact equivariance, kept through training, buys zero-shot generalisation across the symmetry group
Jun 2, 2026Hongbo WangRotation Equivariance Equivariance
Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USA
Measuring the Symmetry--Data Exchange Rate
May 31, 2026Ahmed M. AdlyEquivariance Equivalence
Independent Researcher · Egypt
EPC-3D-Diff: Equivariant Physics Consistent Conditional 3D Latent Diffusion for CBCT to CT Synthesis
May 19, 2026Alzahra Altalib, Chunhui Li, Haytham Ahmad Alewaidat +3Cone-Beam Computed Tomography Radiotherapy
School of Science and Engineering, University of Dundee UK · Faculty of Applied Medical Sciences, Jordan University of Science and Technology · Experia Healthcare, Jordan +1
Symmetry-Compatible Principle for Optimizer Design: Embeddings, LM Heads, SwiGLU MLPs, and MoE Routers
May 18, 2026Tim Tsz-Kit Lau, Weijie SuAdaptive Optimizers Optimizer Design
University of Pennsylvania, Philadelphia, PA 19104, USA.
Multi-task learning on partially labeled datasets via invariant/equivariant semi-supervised learning
May 17, 2026Miquel Martí i Rabadán, Alessandro Pieropan, Hossein Azizpour +1Semi-Supervised Learning Multi--Task Learning
Univrses AB, Stockholm, Sweden · KTH Royal Institute of Technology, Stockholm, Sweden
Aligning Network Equivariance with Data Symmetry: A Theoretical Framework and Adaptive Approach for Image Restoration
May 13, 2026Feiyu Tan, Qi Xie, Zongben Xu +1Rotation Equivariance Image Restoration
School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an, Shaanxi, China
Learning Minimally Rigid Graphs with High Realization Counts
May 12, 2026Oleksandr Slyvka, Jan Rubeš, Rodrigo Alves +1Acyclic Graphs Polytopes
Faculty of Information Technology, Czech Technical University in Prague, Czechia · ETH ZÜrich, Switzerland
When Does Equivariance Help? Canonical Alignment in Neural Fluid Surrogates
May 12, 2026Patryk Rygiel, Julian Suk, Kak Khee Yeung +2Equivariance Computational Fluid Dynamic
Department of Applied Mathematics Technical Medical Centre Cardiovascular Health Technology Centre University of Twente · Department of Computer Science Munich Center for Machine Learning Technical University of Munich · Department of Surgery Amsterdam UMC, Location University of Amsterdam Atherosclerosis & Aortic diseases Amsterdam Cardiovascular Sciences
Steerable Neural ODEs on Homogeneous Spaces
May 11, 2026Emma Andersdotter, Daniel Persson, Fredrik OhlssonNeural Ordinary Differential Equations Ordinary Differential Equations
Department of Mathematics and Mathematical Statistics Umeå University Umeå SE-901 87, Sweden · Department of Mathematical Sciences2026 Chalmers University of Technology and Gothenburg University Gothenburg SE-412 96, Sweden · Department of Mathematics and Mathematical Statistics 11 Umeå University Umeå SE-901 87, Sweden
Soft Geometric Inductive Bias for Object Centric Dynamics
Dec 17, 2025Hampus Linander, Conor Heins, Alexander Tschantz +2Rigid-Body Dynamics Equivariance
VERSES AI · University of Sussex, Department of Informatics
Equivariant symmetry-aware head pose estimation for fetal MRI
Dec 4, 2025Ramya Muthukrishnan, Borjan Gagoski, Aryn Lee +4Rotation Equivariance Equivariance
MIT Computer Science and Artificial Intelligence Laboratory, Cambridge, USA · Boston Children’s Hospital and Harvard Medical School, Boston, USA · Inria, Université Côte d’Azur, Sophia Antipolis, France
Conditional Clifford-Steerable CNNs for PDE Modeling
Oct 15, 2025Bálint László Szarvas, Maksim ZhdanovPartial Differential Equations Equivariance
University of Amsterdam · 2AMLab.
Representation Learning for Equivariant Inference with Guarantees
May 26, 2025Daniel Ordoñez-Apraez, Vladimir Kostić, Alek Fröhlich +3Equivariance Geometric Deep Learning
CSML, Italian Institute of Technology, Genova, Italy · Universit`a di Genova, Genova, Italy · University of Novi Sad, Novi Sad, Serbia +2
Quick ViTs: Speeding up Vision Transformers through Equivariance
May 21, 2025David Nordström, Johan Edstedt, Fredrik Kahl +1Self-Supervised Vision Transformers Vision Transformer
Chalmers University of Technology · Linköping University · University of Amsterdam
Learning Chern Numbers of Topological Insulators with Gauge Equivariant Neural Networks
Feb 21, 2025Longde Huang, Oleksandr Balabanov, Hampus Linander +3Equivariant Neural Networks Quantum Phases
Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE-412 96 Gothenburg, Sweden. · Department of Physics, Stockholm University, AlbaNova University Center, SE-106 91 Stockholm, Sweden · VERSES AI Research Lab, Los Angeles, USA +1

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EMERGE: Resolution-Agnostic Point Cloud Generation with Equivariant Graph-Based Diffusion

Ilias Mitsouras, Nikolaos Chaidos, Giorgos Stamou, Athanasios Voulodimos

National Technical University of Athens Athens, Greece

Point Clouds 3D Generative Models Physics-Guided Diffusion Equivariance Graph Neural Networks

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Point cloud generation has emerged as a crucial task for accurately capturing and reproducing the complexity of the physical world. However, existing generative approaches, predominantly relying on Transformers and Variational Autoencoders (VAEs), frequently ignore the continuous, non-grid topologies inherent to 3D spaces. Although the integration of graph-based structures has yielded significant benefits in related discriminative vision tasks, such geometric architectures remain noticeably absent from 3D generative modeling. To address this gap, we introduce EMERGE (Equivariant Multi-scale GNN for Resolution-agnostic point cloud GEneration), the first fully

SE(3)

-equivariant graph-based diffusion backbone explicitly designed to generate point clouds while preserving continuous spatial symmetries. Our framework bypasses the rigid resolution dependencies of standard generative pipelines, enabling zero-shot inference at multiple, arbitrary spatial resolutions. Extensive empirical evaluations demonstrate that EMERGE achieves State-of-the-Art generation quality across standard metrics, while the strong inherent geometric inductive biases enable significantly faster training convergence compared to existing baseline methods.

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