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We develop a theory of category-equivariant neural networks (CENNs) that unifies group/groupoid-equivariant networks, poset/lattice-equivariant networks, graph and sheaf neural networks. Equivariance is formulated as naturality in a…

Machine Learning · Computer Science 2025-12-24 Yoshihiro Maruyama

Graph neural networks (GNNs) have shown promise in learning the ground-state electronic properties of materials, subverting ab initio density functional theory (DFT) calculations when the underlying lattices can be represented as small…

Graph Contrastive Learning (GCL) has emerged as a powerful paradigm for training Graph Neural Networks (GNNs) in the absence of task-specific labels. However, its scalability on large-scale graphs is hindered by the intensive message…

Machine Learning · Computer Science 2025-11-12 Xiang Chen , Kun Yue , Wenjie Liu , Zhenyu Zhang , Liang Duan

Local gauge structures play a central role in a wide range of condensed matter systems and synthetic quantum platforms, where they emerge as effective descriptions of strongly correlated phases and engineered dynamics. We introduce a…

Strongly Correlated Electrons · Physics 2026-05-06 Ali Rayat , Gia-Wei Chern

Entity Linking aims to link entity mentions in texts to knowledge bases, and neural models have achieved recent success in this task. However, most existing methods rely on local contexts to resolve entities independently, which may usually…

Computation and Language · Computer Science 2018-11-22 Yixin Cao , Lei Hou , Juanzi Li , Zhiyuan Liu

Accurate prediction of molecular properties is essential in drug discovery and related fields. However, existing graph neural networks (GNNs) often struggle to simultaneously capture both local and global molecular structures. In this work,…

Machine Learning · Computer Science 2025-08-26 XiaYu Liu , Chao Fan , Yang Liu , Hou-biao Li

Computational simulation of chemical and biological systems using ab initio molecular dynamics has been a challenge over decades. Researchers have attempted to address the problem with machine learning and fragmentation-based methods.…

Chemical Physics · Physics 2024-07-16 Yunyang Li , Yusong Wang , Lin Huang , Han Yang , Xinran Wei , Jia Zhang , Tong Wang , Zun Wang , Bin Shao , Tie-Yan Liu

One of the main challenges in using deep learning-based methods for simulating physical systems and solving partial differential equations (PDEs) is formulating physics-based data in the desired structure for neural networks. Graph neural…

Scaling deep learning models has been at the heart of recent revolutions in language modelling and image generation. Practitioners have observed a strong relationship between model size, dataset size, and performance. However,…

By adopting a perspective informed by contemporary liquid state theory, we consider how to train an artificial neural network potential to describe inhomogeneous, disordered systems. We find that neural network potentials based on local…

Chemical Physics · Physics 2021-11-10 Samuel P. Niblett , Mirza Galib , David T. Limmer

Graph Convolutional Neural Networks (GCNNs) are generalizations of CNNs to graph-structured data, in which convolution is guided by the graph topology. In many cases where graphs are unavailable, existing methods manually construct graphs…

Machine Learning · Computer Science 2019-09-17 Xiang Gao , Wei Hu , Zongming Guo

Despite Graph Neural Networks (GNNs) have achieved prominent success in many graph-based learning problem, such as credit risk assessment in financial networks and fake news detection in social networks. However, the trained GNNs still make…

Machine Learning · Computer Science 2023-05-26 Zirui Liu , Zhimeng Jiang , Shaochen Zhong , Kaixiong Zhou , Li Li , Rui Chen , Soo-Hyun Choi , Xia Hu

Machine learning (ML) is revolutionizing protein structural analysis, including an important subproblem of predicting protein residue contact maps, i.e., which amino-acid residues are in close spatial proximity given the amino-acid sequence…

Quantitative Methods · Quantitative Biology 2022-12-23 Kuang Liu , Rajiv K. Kalia , Xinlian Liu , Aiichiro Nakano , Ken-ichi Nomura , Priya Vashishta , Rafael Zamora-Resendizc

Dynamical systems consisting of a set of autonomous agents face the challenge of having to accomplish a global task, relying only on local information. While centralized controllers are readily available, they face limitations in terms of…

Machine Learning · Computer Science 2022-03-24 Fernando Gama , Qingbiao Li , Ekaterina Tolstaya , Amanda Prorok , Alejandro Ribeiro

We show that deep neural networks can be integrated into, or fully replace, the Kohn-Sham density functional theory scheme for multi-electron systems in simple harmonic oscillator and random external potentials with no feature engineering.…

Materials Science · Physics 2021-02-25 Kevin Ryczko , David Strubbe , Isaac Tamblyn

We explore different strategies to integrate prior domain knowledge into the design of a deep neural network (DNN). We focus on graph neural networks (GNN), with a use case of estimating the potential energy of chemical systems (molecules…

Machine Learning · Computer Science 2022-08-26 Jay Morgan , Adeline Paiement , Christian Klinke

Graph neural networks (GNNs) have been extensively studied for prediction tasks on graphs. As pointed out by recent studies, most GNNs assume local homophily, i.e., strong similarities in local neighborhoods. This assumption however limits…

Machine Learning · Computer Science 2021-10-04 Sean Li , Dongwoo Kim , Qing Wang

Graph Neural Networks (GNNs) have shown great potential in the field of graph representation learning. Standard GNNs define a local message-passing mechanism which propagates information over the whole graph domain by stacking multiple…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Xiaoxin He , Bryan Hooi , Thomas Laurent , Adam Perold , Yann LeCun , Xavier Bresson

We propose a new model, the Neighbor Mixture Model (NMM), for modeling node labels in a graph. This model aims to capture correlations between the labels of nodes in a local neighborhood. We carefully design the model so it could be an…

Machine Learning · Computer Science 2021-04-20 Linfeng Liu , Michael C. Hughes , Li-Ping Liu

Entity interaction prediction is essential in many important applications such as chemistry, biology, material science, and medical science. The problem becomes quite challenging when each entity is represented by a complex structure,…

Machine Learning · Computer Science 2021-04-13 Hanchen Wang , Defu Lian , Ying Zhang , Lu Qin , Xuemin Lin