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We review a novel neural network architecture called lattice gauge equivariant convolutional neural networks (L-CNNs), which can be applied to generic machine learning problems in lattice gauge theory while exactly preserving gauge…

High Energy Physics - Lattice · Physics 2021-11-09 Matteo Favoni , Andreas Ipp , David I. Müller , Daniel Schuh

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…

Machine Learning · Computer Science 2019-05-15 Taco S. Cohen , Maurice Weiler , Berkay Kicanaoglu , Max Welling

This study introduces a novel Graph Neural Network (GNN) architecture that leverages infrared and collinear (IRC) safety and equivariance to enhance the analysis of collider data for Beyond the Standard Model (BSM) discoveries. By…

High Energy Physics - Phenomenology · Physics 2024-08-21 Akanksha Bhardwaj , Christoph Englert , Wrishik Naskar , Vishal S. Ngairangbam , Michael Spannowsky

Graph representation learning is fundamental for analyzing graph-structured data. Exploring invariant graph representations remains a challenge for most existing graph representation learning methods. In this paper, we propose a cross-view…

Machine Learning · Computer Science 2025-04-15 Jie Chen , Hua Mao , Wai Lok Woo , Chuanbin Liu , Xi Peng

Although provably robust to translational perturbations, convolutional neural networks (CNNs) are known to suffer from extreme performance degradation when presented at test time with more general geometric transformations of inputs.…

Computer Vision and Pattern Recognition · Computer Science 2022-03-31 Lachlan Ewen MacDonald , Sameera Ramasinghe , Simon Lucey

The use of deep neural networks in edge computing devices hinges on the balance between accuracy and complexity of computations. Ternary Connect (TC) \cite{lin2015neural} addresses this issue by restricting the parameters to three levels…

Machine Learning · Computer Science 2018-11-14 Samyak Parajuli , Aswin Raghavan , Sek Chai

We present the group equivariant conditional neural process (EquivCNP), a meta-learning method with permutation invariance in a data set as in conventional conditional neural processes (CNPs), and it also has transformation equivariance in…

Machine Learning · Computer Science 2021-02-18 Makoto Kawano , Wataru Kumagai , Akiyoshi Sannai , Yusuke Iwasawa , Yutaka Matsuo

Quantum neural network architectures that have little-to-no inductive biases are known to face trainability and generalization issues. Inspired by a similar problem, recent breakthroughs in machine learning address this challenge by…

The fundamental principle of Graph Neural Networks (GNNs) is to exploit the structural information of the data by aggregating the neighboring nodes using a `graph convolution' in conjunction with a suitable choice for the network…

Machine Learning · Computer Science 2023-11-01 Mahalakshmi Sabanayagam , Pascal Esser , Debarghya Ghoshdastidar

When trying to fit a deep neural network (DNN) to a $G$-invariant target function with $G$ a group, it only makes sense to constrain the DNN to be $G$-invariant as well. However, there can be many different ways to do this, thus raising the…

Machine Learning · Computer Science 2023-01-10 Devanshu Agrawal , James Ostrowski

This paper presents a novel framework combining group equivariant convolutional neural networks (G-CNNs) with equivariant-aware structured pruning to produce compact, transformation-invariant models for resource-constrained environments.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Mohammed Alnemari

Graph Neural Networks (GNNs) excel at modeling relational data but face significant challenges in high-stakes domains due to unquantified uncertainty. Conformal prediction (CP) offers statistical coverage guarantees, but existing methods…

Machine Learning · Computer Science 2025-06-10 Zheng Zhang , Jie Bao , Zhixin Zhou , Nicolo Colombo , Lixin Cheng , Rui Luo

Group equivariance is a strong inductive bias useful in a wide range of deep learning tasks. However, constructing efficient equivariant networks for general groups and domains is difficult. Recent work by Finzi et al. (2021) directly…

Machine Learning · Computer Science 2024-02-26 Sourya Basu , Suhas Lohit , Matthew Brand

Graph neural networks (GNNs) have achieved remarkable success in a variety of machine learning tasks over graph data. Existing GNNs usually rely on message passing, i.e., computing node representations by gathering information from the…

Machine Learning · Computer Science 2024-10-15 Junru Zhou , Cai Zhou , Xiyuan Wang , Pan Li , Muhan Zhang

Learning to reason about relations and dynamics over multiple interacting objects is a challenging topic in machine learning. The challenges mainly stem from that the interacting systems are exponentially-compositional, symmetrical, and…

Machine Learning · Computer Science 2022-03-15 Wenbing Huang , Jiaqi Han , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

Graph neural networks (GNN) has been demonstrated to be effective in classifying graph structures. To further improve the graph representation learning ability, hierarchical GNN has been explored. It leverages the differentiable pooling to…

Social and Information Networks · Computer Science 2019-12-19 Kaixiong Zhou , Qingquan Song , Xiao Huang , Daochen Zha , Na Zou , Xia Hu

The adversarial robustness of Graph Neural Networks (GNNs) has been questioned due to the false sense of security uncovered by strong adaptive attacks despite the existence of numerous defenses. In this work, we delve into the robustness…

Machine Learning · Computer Science 2024-11-12 Zhichao Hou , Ruiqi Feng , Tyler Derr , Xiaorui Liu

Graph Neural Network (GNN) is an emerging technique for graph-based learning tasks such as node classification. In this work, we reveal the vulnerability of GNN to the imbalance of node labels. Traditional solutions for imbalanced…

Machine Learning · Computer Science 2022-02-08 Xiaohe Li , Lijie Wen , Yawen Deng , Fuli Feng , Xuming Hu , Lei Wang , Zide Fan

Convolutional Neural Networks(CNN) are inherently equivariant under translations, however, they do not have an equivalent embedded mechanism to handle other transformations such as rotations and change in scale. Several approaches exist…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Naman Khetan , Tushar Arora , Samee Ur Rehman , Deepak K. Gupta

Devising and analyzing learning models for spatiotemporal network data is of importance for tasks including forecasting, anomaly detection, and multi-agent coordination, among others. Graph Convolutional Neural Networks (GCNNs) are an…

Machine Learning · Computer Science 2022-07-01 Mohammad Sabbaqi , Elvin Isufi