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We introduce group crosscoders, an extension of crosscoders that systematically discover and analyse symmetrical features in neural networks. While neural networks often develop equivariant representations without explicit architectural…

Machine Learning · Computer Science 2024-11-04 Liv Gorton

Scene Graph Generation, which generally follows a regular encoder-decoder pipeline, aims to first encode the visual contents within the given image and then parse them into a compact summary graph. Existing SGG approaches generally not only…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Xingning Dong , Tian Gan , Xuemeng Song , Jianlong Wu , Yuan Cheng , Liqiang Nie

Exploiting symmetries and invariance in data is a powerful, yet not fully exploited, way to achieve better generalisation with more efficiency. In this paper, we introduce two graph network architectures that are equivariant to several…

Machine Learning · Computer Science 2021-06-01 Francesco Farina , Emma Slade

The translational equivariant nature of Convolutional Neural Networks (CNNs) is a reason for its great success in computer vision. However, networks do not enjoy more general equivariance properties such as rotation or scaling, ultimately…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Zikai Sun , Thierry Blu

In representation learning on graph-structured data, many popular graph neural networks (GNNs) fail to capture long-range dependencies, leading to performance degradation. Furthermore, this weakness is magnified when the concerned graph is…

Machine Learning · Computer Science 2024-03-07 Mengying Jiang , Guizhong Liu , Yuanchao Su , Xinliang Wu

Euclidean deep learning is often inadequate for addressing real-world signals where the representation space is irregular and curved with complex topologies. Interpreting the geometric properties of such feature spaces has become paramount…

Computer Vision and Pattern Recognition · Computer Science 2024-09-12 Ramzan Basheer , Deepak Mishra

Recently, a variety of new equivariant neural network model architectures have been proposed that generalize better over rotational and reflectional symmetries than standard models. These models are relevant to robotics because many…

Robotics · Computer Science 2021-11-01 Dian Wang , Robin Walters , Xupeng Zhu , Robert Platt

Learning to compare two objects are essential in applications, such as digital forensics, face recognition, and brain network analysis, especially when labeled data is scarce and imbalanced. As these applications make high-stake decisions…

Machine Learning · Computer Science 2021-09-16 Chao Chen , Yifan Shen , Guixiang Ma , Xiangnan Kong , Srinivas Rangarajan , Xi Zhang , Sihong Xie

Convolutional neural networks have been extremely successful in the image recognition domain because they ensure equivariance to translations. There have been many recent attempts to generalize this framework to other domains, including…

Machine Learning · Statistics 2018-11-13 Risi Kondor , Shubhendu Trivedi

Inattentional blindness is the psychological phenomenon that causes one to miss things in plain sight. It is a consequence of the selective attention in perception that lets us remain focused on important parts of our world without…

Neural and Evolutionary Computing · Computer Science 2020-04-03 Yujin Tang , Duong Nguyen , David Ha

Attention mechanisms, and most prominently self-attention, are a powerful building block for processing not only text but also images. These provide a parameter efficient method for aggregating inputs. We focus on self-attention in vision…

Computer Vision and Pattern Recognition · Computer Science 2019-11-19 Nichita Diaconu , Daniel E Worrall

Employing equivariance in neural networks leads to greater parameter efficiency and improved generalization performance through the encoding of domain knowledge in the architecture; however, the majority of existing approaches require an a…

Machine Learning · Computer Science 2023-05-31 Emmanouil Theodosis , Karim Helwani , Demba Ba

Robotic manipulation systems are increasingly deployed across diverse domains. Yet existing multi-modal learning frameworks lack inherent guarantees of geometric consistency, struggling to handle spatial transformations such as rotations…

Robotics · Computer Science 2025-11-20 Jian Deng , Yuandong Wang , Yangfu Zhu , Tao Feng , Tianyu Wo , Zhenzhou Shao

We introduce the usage of equivariant neural networks in the search for violations of the charge-parity ($\textit{CP}$) symmetry in particle interactions at the CERN Large Hadron Collider. We design neural networks that take as inputs…

High Energy Physics - Phenomenology · Physics 2024-11-27 Sergio Sánchez Cruz , Marina Kolosova , Clara Ramón Álvarez , Giovanni Petrucciani , Pietro Vischia

Local gauge symmetry underlies fundamental interactions and strongly correlated quantum matter, yet existing machine-learning approaches lack a general, principled framework for learning under site-dependent symmetries, particularly for…

Strongly Correlated Electrons · Physics 2026-04-23 Ali Rayat , Yaohang Li , Gia-Wei Chern

The vanilla self-attention mechanism inherently relies on pre-defined and steadfast computational dimensions. Such inflexibility restricts it from possessing context-oriented generalization that can bring more contextual cues and global…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Rui Yang , Hailong Ma , Jie Wu , Yansong Tang , Xuefeng Xiao , Min Zheng , Xiu Li

Units equivariance (or units covariance) is the exact symmetry that follows from the requirement that relationships among measured quantities of physics relevance must obey self-consistent dimensional scalings. Here, we express this…

Machine Learning · Statistics 2023-06-26 Soledad Villar , Weichi Yao , David W. Hogg , Ben Blum-Smith , Bianca Dumitrascu

We approach the well-studied problem of supervised group invariant and equivariant machine learning from the point of view of geometric topology. We propose a novel approach using a pre-processing step, which involves projecting the input…

Machine Learning · Computer Science 2022-02-07 Benjamin Aslan , Daniel Platt , David Sheard

In this paper, we propose generalized attention mechanism (GAM) by first suggesting a new interpretation for self-attention mechanism of Vaswani et al. . Following the interpretation, we provide description for different variants of…

Computation and Language · Computer Science 2022-08-23 R. V. R. Pandya

Group equivariant neural networks have proven effective in modelling a wide range of tasks where the data lives in a classical geometric space and exhibits well-defined group symmetries. However, these networks are not suitable for learning…

Machine Learning · Computer Science 2025-05-26 Edward Pearce-Crump
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