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Symmetry-informed machine learning can exhibit advantages over machine learning which fails to account for symmetry. In the context of continuous symmetry detection, current state of the art experiments are largely limited to detecting…

Machine Learning · Statistics 2025-11-13 Ben Shaw , Sasidhar Kunapuli , Abram Magner , Kevin R. Moon

We study the problem of learning equivariant neural networks via gradient descent. The incorporation of known symmetries ("equivariance") into neural nets has empirically improved the performance of learning pipelines, in domains ranging…

Machine Learning · Computer Science 2024-01-04 Bobak T. Kiani , Thien Le , Hannah Lawrence , Stefanie Jegelka , Melanie Weber

Incorporating group symmetry directly into the learning process has proved to be an effective guideline for model design. By producing features that are guaranteed to transform covariantly to the group actions on the inputs,…

Computer Vision and Pattern Recognition · Computer Science 2021-11-23 Liyao Gao , Guang Lin , Wei Zhu

In this work, we address two major issues in recent Denoising Diffusion Probabilistic Models (DDPM): {\bf 1)} geometric key feature extraction and {\bf 2)} network equivariance. Since the DDPM prediction network relies on the U-net…

Computer Vision and Pattern Recognition · Computer Science 2026-02-12 El Hadji S. Diop , Thierno Fall , Mohamed Daoudi

Correspondence matching is a fundamental problem in computer vision and robotics applications. Solving correspondence matching problems using neural networks has been on the rise recently. Rotation-equivariance and scale-equivariance are…

Computer Vision and Pattern Recognition · Computer Science 2022-08-23 Shuai Su , Zhongkai Zhao , Yixin Fei , Shuda Li , Qijun Chen , Rui Fan

Self-supervised surround-view depth estimation enables dense, low-cost 3D perception with a 360{\deg} field of view from multiple minimally overlapping images. Yet, most existing methods suffer from depth estimates that are inconsistent…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Samer Abualhanud , Christian Grannemann , Max Mehltretter

Taking pictures through glass windows almost always produces undesired reflections that degrade the quality of the photo. The ill-posed nature of the reflection removal problem reached the attention of many researchers for more than…

Image and Video Processing · Electrical Eng. & Systems 2021-05-12 Andreea Birhala , Ionut Mironica

We introduce InverseFaceNet, a deep convolutional inverse rendering framework for faces that jointly estimates facial pose, shape, expression, reflectance and illumination from a single input image. By estimating all parameters from just a…

Computer Vision and Pattern Recognition · Computer Science 2018-05-17 Hyeongwoo Kim , Michael Zollhöfer , Ayush Tewari , Justus Thies , Christian Richardt , Christian Theobalt

Equivariant diffusion policies (EDPs) combine the generative expressivity of diffusion models with the strong generalization and sample efficiency afforded by geometric symmetries. While steering these policies with reinforcement learning…

Machine Learning · Computer Science 2025-12-15 Minwoo Park , Junwoo Chang , Jongeun Choi , Roberto Horowitz

Recent success in training deep neural networks have prompted active investigation into the features learned on their intermediate layers. Such research is difficult because it requires making sense of non-linear computations performed by…

Machine Learning · Computer Science 2016-03-01 Yixuan Li , Jason Yosinski , Jeff Clune , Hod Lipson , John Hopcroft

Transparent and reflective objects in everyday environments pose significant challenges for depth sensors due to their unique visual properties, such as specular reflections and light transmission. These characteristics often lead to…

Robotics · Computer Science 2025-06-12 Guanghu Xie , Zhiduo Jiang , Yonglong Zhang , Yang Liu , Zongwu Xie , Baoshi Cao , Hong Liu

Non-Hermitian systems offer new platforms for unusual physical properties that can be flexibly manipulated by redistribution of the real and imaginary parts of refractive indices, whose presence breaks conventional wave propagation…

Optics · Physics 2022-04-29 W. W. Ahmed , M. Farhat , K. Staliunas , X. Zhang , Y. Wu

Deformable image registration is a fundamental task in medical image analysis, aiming to establish a dense and non-linear correspondence between a pair of images. Previous deep-learning studies usually employ supervised neural networks to…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Jun Zhang

Self-supervision has emerged as a propitious method for visual representation learning after the recent paradigm shift from handcrafted pretext tasks to instance-similarity based approaches. Most state-of-the-art methods enforce similarity…

Computer Vision and Pattern Recognition · Computer Science 2022-10-19 Sravanti Addepalli , Kaushal Bhogale , Priyam Dey , R. Venkatesh Babu

The inclusion of symmetries as an inductive bias, known as equivariance, often improves generalization on geometric data (e.g. grids, sets, and graphs). However, equivariant architectures are usually highly constrained, designed for…

Machine Learning · Computer Science 2026-03-23 Abhinav Goel , Derek Lim , Hannah Lawrence , Stefanie Jegelka , Ningyuan Huang

Recognizing precise geometrical configurations of groups of objects is a key capability of human spatial cognition, yet little studied in the deep learning literature so far. In particular, a fundamental problem is how a machine can learn…

Machine Learning · Computer Science 2020-07-20 Laetitia Teodorescu , Katja Hofmann , Pierre-Yves Oudeyer

The problem of detecting and quantifying the presence of symmetries in datasets is useful for model selection, generative modeling, and data analysis, amongst others. While existing methods for hard-coding transformations in neural networks…

Machine Learning · Computer Science 2023-07-06 Alex Gabel , Victoria Klein , Riccardo Valperga , Jeroen S. W. Lamb , Kevin Webster , Rick Quax , Efstratios Gavves

Outdoor 3D object detection has played an essential role in the environment perception of autonomous driving. In complicated traffic situations, precise object recognition provides indispensable information for prediction and planning in…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Xihao Wang , Jiaming Lei , Hai Lan , Arafat Al-Jawari , Xian Wei

Symmetry is fundamental to understanding physical systems and can improve performance and sample efficiency in machine learning. Both pursuits require knowledge of the underlying symmetries in data, yet discovering these symmetries…

Artificial Intelligence · Computer Science 2026-03-03 Yuxuan Chen , Jung Yeon Park , Floor Eijkelboom , Jianke Yang , Jan-Willem van de Meent , Lawson L. S. Wong , Robin Walters

Despite the successes of deep learning in computer vision, difficulties persist in recognizing objects that have undergone group-symmetric transformations rarely seen during training$\unicode{x2013}$for example objects seen in unusual…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Minh Dinh , Stéphane Deny