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Despite being a source of rich information, graphs are limited to pairwise interactions. However, several real-world networks such as social networks, neuronal networks, etc., involve interactions between more than two nodes. Simplicial…

数据分析、统计与概率 · 物理学 2022-02-01 Sanjukta Krishnagopal , Ginestra Bianconi

Graph Neural Networks (GNNs) have become a prominent approach to machine learning with graphs and have been increasingly applied in a multitude of domains. Nevertheless, since most existing GNN models are based on flat message-passing…

机器学习 · 计算机科学 2022-10-27 Zhiqiang Zhong , Cheng-Te Li , Jun Pang

Human social behaviour is governed by complex interactions shaped by uncertainty, causality, and group dynamics. We propose Causal Spherical Hypergraph Networks (Causal-SphHN), a principled framework for socially grounded prediction that…

机器学习 · 计算机科学 2025-06-24 Anoushka Harit , Zhongtian Sun

While Hamiltonian mechanics provides a powerful inductive bias for neural networks modeling dynamical systems, Hamiltonian Neural Networks and their variants often fail to capture complex temporal dynamics spanning multiple timescales. This…

机器学习 · 计算机科学 2026-03-17 Yaojun Li , Yulong Yang , Christine Allen-Blanchette

Processing data on multiple interacting graphs is crucial for many applications, but existing approaches rely mostly on discrete filtering or first-order continuous models, dampening high frequencies and slow information propagation. In…

机器学习 · 计算机科学 2025-09-17 Aref Einizade , Fragkiskos D. Malliaros , Jhony H. Giraldo

We introduce and analyze a model for the transport of particles or energy in extended lattice systems. The dynamics of the model acts on a discrete phase space at discrete times but has nonetheless some of the characteristic properties of…

数学物理 · 物理学 2015-06-12 Raphael Lefevere

Skeleton-based human action recognition has attracted much attention with the prevalence of accessible depth sensors. Recently, graph convolutional networks (GCNs) have been widely used for this task due to their powerful capability to…

计算机视觉与模式识别 · 计算机科学 2021-08-23 Zhen Huang , Xu Shen , Xinmei Tian , Houqiang Li , Jianqiang Huang , Xian-Sheng Hua

Graph convolutional networks (GCNs) achieved promising performance in skeleton-based human action recognition by modeling a sequence of skeletons as a spatio-temporal graph. Most of the recently proposed GCN-based methods improve the…

计算机视觉与模式识别 · 计算机科学 2021-04-23 Negar Heidari , Alexandros Iosifidis

Accurate traffic forecasting, the foundation of intelligent transportation systems (ITS), has never been more significant than nowadays due to the prosperity of smart cities and urban computing. Recently, Graph Neural Network truly…

机器学习 · 计算机科学 2022-05-18 Jiabin Tang , Tang Qian , Shijing Liu , Shengdong Du , Jie Hu , Tianrui Li

Learning feature interactions is important to the model performance of online advertising services. As a result, extensive efforts have been devoted to designing effective architectures to learn feature interactions. However, we observe…

A quantitative understanding of dynamic lane-changing (LC) interaction patterns is indispensable for improving the decision-making of autonomous vehicles, especially in mixed traffic with human-driven vehicles. This paper develops a novel…

系统与控制 · 电气工程与系统科学 2022-07-27 Yue Zhang , Yajie Zou , Yuanchang Xie , Lei Chen

Simulating particle dynamics with high fidelity is crucial for solving real-world interaction and control tasks involving liquids in design, graphics, and robotics. Recently, data-driven approaches, particularly those based on graph neural…

机器学习 · 计算机科学 2025-12-01 Niteesh Midlagajni , Constantin A. Rothkopf

Recommender systems rely on Collaborative Filtering (CF) to predict user preferences by leveraging patterns in historical user-item interactions. While traditional CF methods primarily focus on learning compact vector embeddings for users…

信息检索 · 计算机科学 2025-01-29 Darnbi Sakong , Thanh Trung Huynh , Jun Jo

Much of the recent work on learning molecular representations has been based on Graph Convolution Networks (GCN). These models rely on local aggregation operations and can therefore miss higher-order graph properties. To remedy this, we…

机器学习 · 计算机科学 2019-05-31 Benson Chen , Regina Barzilay , Tommi Jaakkola

Graph Convolutional Networks (GCNs) gained traction for graph representation learning, with recent attention on improving performance on heterophilic graphs for various real-world applications. The localized feature aggregation in a typical…

机器学习 · 计算机科学 2025-07-30 Garv Kaushik

Hypergraphs effectively model higher-order relationships in natural phenomena, capturing complex interactions beyond pairwise connections. We introduce a novel hypergraph message passing framework inspired by interacting particle systems,…

机器学习 · 计算机科学 2025-05-27 Yixuan Ma , Kai Yi , Pietro Lio , Shi Jin , Yu Guang Wang

Existing neural network models to learn Hamiltonian systems, such as SympNets, although accurate in low-dimensions, struggle to learn the correct dynamics for high-dimensional many-body systems. Herein, we introduce Symplectic Graph Neural…

机器学习 · 计算机科学 2024-08-30 Alan John Varghese , Zhen Zhang , George Em Karniadakis

Machine learning has made important headway in helping to improve the treatment of quantum many-body systems. A domain of particular relevance are correlated inhomogeneous systems. What has been missing so far is a general, scalable…

量子物理 · 物理学 2026-02-10 Alex Blania , Sandro Herbig , Fabian Dechent , Evert van Nieuwenburg , Florian Marquardt

We propose an effective and lightweight learning algorithm, Symplectic Taylor Neural Networks (Taylor-nets), to conduct continuous, long-term predictions of a complex Hamiltonian dynamic system based on sparse, short-term observations. At…

机器学习 · 计算机科学 2022-02-22 Yunjin Tong , Shiying Xiong , Xingzhe He , Guanghan Pan , Bo Zhu

Foundation models have shown great promise in various fields of study. A potential application of such models is in computer network traffic analysis, where these models can grasp the complexities of network traffic dynamics and adapt to…

机器学习 · 计算机科学 2024-09-13 Louis Van Langendonck , Ismael Castell-Uroz , Pere Barlet-Ros