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The capability of generalization is a cornerstone for the success of modern learning systems. For non-Euclidean data, e.g., graphs, that particularly involves topological structures, one important aspect neglected by prior studies is how…

Machine Learning · Computer Science 2025-06-24 Qitian Wu , Chenxiao Yang , Kaipeng Zeng , Michael Bronstein

We introduce Quantum Graph Attention Networks (QGATs) as trainable quantum encoders for inductive learning on graphs, extending the Quantum Graph Neural Networks (QGNN) framework. QGATs leverage parameterized quantum circuits to encode node…

Quantum Physics · Physics 2025-09-16 Arthur M. Faria , Mehdi Djellabi , Igor O. Sokolov , Savvas Varsamopoulos

Accurate prediction of small molecule solubility using material-sparing approaches is critical for accelerating synthesis and process optimization, yet experimental measurement is costly and many learning approaches either depend on…

While (message-passing) graph neural networks have clear limitations in approximating permutation-equivariant functions over graphs or general relational data, more expressive, higher-order graph neural networks do not scale to large…

Machine Learning · Computer Science 2022-08-31 Christopher Morris , Gaurav Rattan , Sandra Kiefer , Siamak Ravanbakhsh

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

Invariant and equivariant networks have been successfully used for learning images, sets, point clouds, and graphs. A basic challenge in developing such networks is finding the maximal collection of invariant and equivariant linear layers.…

Machine Learning · Computer Science 2019-05-01 Haggai Maron , Heli Ben-Hamu , Nadav Shamir , Yaron Lipman

Graph Transformers (GTs) have demonstrated a strong capability in modeling graph structures by addressing the intrinsic limitations of graph neural networks (GNNs), such as over-smoothing and over-squashing. Recent studies have proposed…

Machine Learning · Computer Science 2025-02-28 Chaohao Yuan , Kangfei Zhao , Ercan Engin Kuruoglu , Liang Wang , Tingyang Xu , Wenbing Huang , Deli Zhao , Hong Cheng , Yu Rong

Learning representations on large graphs is a long-standing challenge due to the inter-dependence nature. Transformers recently have shown promising performance on small graphs thanks to its global attention for capturing all-pair…

Machine Learning · Computer Science 2024-09-16 Qitian Wu , Kai Yang , Hengrui Zhang , David Wipf , Junchi Yan

We propose a general architecture that combines the coefficient learning scheme with a residual operator layer for learning mappings between continuous functions in the 3D Euclidean space. Our proposed model is guaranteed to achieve…

Machine Learning · Computer Science 2023-11-21 Chaoran Cheng , Jian Peng

Constructing appropriate representations of molecules lies at the core of numerous tasks such as material science, chemistry and drug designs. Recent researches abstract molecules as attributed graphs and employ graph neural networks (GNN)…

Machine Learning · Computer Science 2021-07-29 Jianwen Chen , Shuangjia Zheng , Ying Song , Jiahua Rao , Yuedong Yang

Transformers have emerged as the state-of-the-art architecture in medical image registration, outperforming convolutional neural networks (CNNs) by addressing their limited receptive fields and overcoming gradient instability in deeper…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Abu Zahid Bin Aziz , Mokshagna Sai Teja Karanam , Tushar Kataria , Shireen Y. Elhabian

Many machine learning tasks such as multiple instance learning, 3D shape recognition, and few-shot image classification are defined on sets of instances. Since solutions to such problems do not depend on the order of elements of the set,…

Machine Learning · Computer Science 2019-05-28 Juho Lee , Yoonho Lee , Jungtaek Kim , Adam R. Kosiorek , Seungjin Choi , Yee Whye Teh

We show that standard Transformers without graph-specific modifications can lead to promising results in graph learning both in theory and practice. Given a graph, we simply treat all nodes and edges as independent tokens, augment them with…

Machine Learning · Computer Science 2022-10-25 Jinwoo Kim , Tien Dat Nguyen , Seonwoo Min , Sungjun Cho , Moontae Lee , Honglak Lee , Seunghoon Hong

Directed graphs are widely used to model asymmetric relationships in real-world systems. However, existing directed graph neural networks often struggle to jointly capture directional semantics and global structural patterns due to their…

Machine Learning · Computer Science 2025-08-20 Jiayu Fang , Zhiqi Shao , S T Boris Choy , Junbin Gao

Despite the success of Transformer models in vision and language tasks, they often learn knowledge from enormous data implicitly and cannot utilize structured input data directly. On the other hand, structured learning approaches such as…

Computer Vision and Pattern Recognition · Computer Science 2023-05-02 Xuehai He , Xin Eric Wang

Recently, transformer architectures for graphs emerged as an alternative to established techniques for machine learning with graphs, such as (message-passing) graph neural networks. So far, they have shown promising empirical results, e.g.,…

Machine Learning · Computer Science 2024-04-01 Luis Müller , Mikhail Galkin , Christopher Morris , Ladislav Rampášek

Transformer has been popular in recent crowd counting work since it breaks the limited receptive field of traditional CNNs. However, since crowd images always contain a large number of similar patches, the self-attention mechanism in…

Computer Vision and Pattern Recognition · Computer Science 2024-01-09 Hui Lin , Zhiheng Ma , Xiaopeng Hong , Qinnan Shangguan , Deyu Meng

We present a generalization of Transformers to any-order permutation invariant data (sets, graphs, and hypergraphs). We begin by observing that Transformers generalize DeepSets, or first-order (set-input) permutation invariant MLPs. Then,…

Machine Learning · Computer Science 2022-01-25 Jinwoo Kim , Saeyoon Oh , Seunghoon Hong

We propose the Quantum Graph Attention Network (QGAT), a hybrid graph neural network that integrates variational quantum circuits into the attention mechanism. At its core, QGAT employs strongly entangling quantum circuits with…

Machine Learning · Computer Science 2025-08-29 An Ning , Tai Yue Li , Nan Yow Chen

Graph Transformers (GTs) have emerged as a powerful paradigm for graph representation learning due to their ability to model diverse node interactions. However, existing GTs often rely on intricate architectural designs tailored to specific…

Computer Vision and Pattern Recognition · Computer Science 2025-10-22 Yujie Xing , Xiao Wang , Bin Wu , Hai Huang , Chuan Shi