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Equivariant Graph Neural Networks (GNNs) are essential for physically consistent molecular simulations but suffer from high computational costs and memory bottlenecks, especially with high-order representations. While low-bit quantization…

机器学习 · 计算机科学 2026-03-17 Haoyu Zhou , Ping Xue , Hao Zhang , Tianfan Fu

We introduce the first completely unsupervised correspondence learning approach for deformable 3D shapes. Key to our model is the understanding that natural deformations (such as changes in pose) approximately preserve the metric structure…

计算机视觉与模式识别 · 计算机科学 2018-12-07 Oshri Halimi , Or Litany , Emanuele Rodolà , Alex Bronstein , Ron Kimmel

Deep learning for predicting the electronic-structure Hamiltonian of quantum systems necessitates satisfying the covariance laws, among which achieving SO(3)-equivariance without sacrificing the non-linear expressive capability of networks…

计算物理 · 物理学 2024-06-25 Shi Yin , Xinyang Pan , Xudong Zhu , Tianyu Gao , Haochong Zhang , Feng Wu , Lixin He

Equivariance encodes known symmetries into neural networks, often enhancing generalization. However, equivariant networks cannot break symmetries: the output of an equivariant network must, by definition, have at least the same…

机器学习 · 计算机科学 2025-03-31 Hannah Lawrence , Vasco Portilheiro , Yan Zhang , Sékou-Oumar Kaba

Point clouds are challenging to process due to their sparsity, therefore autonomous vehicles rely more on appearance attributes than pure geometric features. However, 3D LIDAR perception can provide crucial information for urban navigation…

计算机视觉与模式识别 · 计算机科学 2019-03-29 Silvio Giancola , Jesus Zarzar , Bernard Ghanem

Map-to-map matching is a critical task for aligning spatial data across heterogeneous sources, yet it remains challenging due to the lack of ground truth correspondences, sparse node features, and scalability demands. In this paper, we…

机器学习 · 计算机科学 2026-01-21 Chaolong Ying , Yinan Zhang , Lei Zhang , Jiazhuang Wang , Shujun Jia , Tianshu Yu

Learning model-free object pose estimation for unseen instances remains a fundamental challenge in 3D vision. Existing methods typically fall into two disjoint paradigms: category-level approaches predict absolute poses in a canonical space…

计算机视觉与模式识别 · 计算机科学 2026-03-25 Weihang Li , Lorenzo Garattoni , Fabien Despinoy , Nassir Navab , Benjamin Busam

Foundation features from self-supervised vision models and text-to-image diffusion models have proven effective for semantic correspondence estimation. However, because these features are learned primarily from 2D image objectives, they…

计算机视觉与模式识别 · 计算机科学 2026-05-29 Artur Jesslen , Olaf Dünkel , Adam Kortylewski

Extending the translation equivariance property of convolutional neural networks to larger symmetry groups has been shown to reduce sample complexity and enable more discriminative feature learning. Further, exploiting additional symmetries…

计算机视觉与模式识别 · 计算机科学 2025-02-12 Lisa Weijler , Pedro Hermosilla

We present G-MSM (Graph-based Multi-Shape Matching), a novel unsupervised learning approach for non-rigid shape correspondence. Rather than treating a collection of input poses as an unordered set of samples, we explicitly model the…

计算机视觉与模式识别 · 计算机科学 2022-12-07 Marvin Eisenberger , Aysim Toker , Laura Leal-Taixé , Daniel Cremers

Learning to autonomously assemble shapes is a crucial skill for many robotic applications. While the majority of existing part assembly methods focus on correctly posing semantic parts to recreate a whole object, we interpret assembly more…

计算机视觉与模式识别 · 计算机科学 2022-05-31 Yun-Chun Chen , Haoda Li , Dylan Turpin , Alec Jacobson , Animesh Garg

Equivariance is a nice property to have as it produces much more parameter efficient neural architectures and preserves the structure of the input through the feature mapping. Even though some combinations of transformations might never…

计算机视觉与模式识别 · 计算机科学 2020-02-11 David W. Romero , Mark Hoogendoorn

The explicit incorporation of task-specific inductive biases through symmetry has emerged as a general design precept in the development of high-performance machine learning models. For example, group equivariant neural networks have…

机器学习 · 计算机科学 2025-04-21 Mircea Petrache , Shubhendu Trivedi

The technique requires the epipolar geometry to be pre-estimated between each image pair. It exploits the constraints which the camera movement implies, in order to apply a closed-form correction to the parameters of the input affinities.…

计算机视觉与模式识别 · 计算机科学 2019-05-03 Ivan Eichhardt , Daniel Barath

The principle of equivariance to symmetry transformations enables a theoretically grounded approach to neural network architecture design. Equivariant networks have shown excellent performance and data efficiency on vision and medical…

机器学习 · 计算机科学 2019-05-15 Taco S. Cohen , Maurice Weiler , Berkay Kicanaoglu , Max Welling

We present a novel non-iterative learnable method for partial-to-partial 3D shape registration. The partial alignment task is extremely complex, as it jointly tries to match between points and identify which points do not appear in the…

计算机视觉与模式识别 · 计算机科学 2022-01-28 Dvir Ginzburg , Dan Raviv

In monocular 3D human pose estimation a common setup is to first detect 2D positions and then lift the detection into 3D coordinates. Many algorithms suffer from overfitting to camera positions in the training set. We propose a siamese…

计算机视觉与模式识别 · 计算机科学 2019-02-19 Márton Véges , Viktor Varga , András Lőrincz

3D Convolutional Neural Networks are sensitive to transformations applied to their input. This is a problem because a voxelized version of a 3D object, and its rotated clone, will look unrelated to each other after passing through to the…

计算机视觉与模式识别 · 计算机科学 2018-04-13 Daniel Worrall , Gabriel Brostow

The task of establishing correspondences between two 3D shapes is a long-standing challenge in computer vision. While numerous studies address full-full and partial-full 3D shape matching, only a limited number of works have explored the…

计算机视觉与模式识别 · 计算机科学 2026-02-09 Viktoria Ehm , Paul Roetzer , Florian Bernard , Daniel Cremers

Given a single RGB panorama, the goal of 3D layout reconstruction is to estimate the room layout by predicting the corners, floor boundary, and ceiling boundary. A common approach has been to use standard convolutional networks to predict…

计算机视觉与模式识别 · 计算机科学 2021-04-20 Shivansh Rao , Vikas Kumar , Daniel Kifer , Lee Giles , Ankur Mali