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User preference modeling is a vital yet challenging problem in personalized product search. In recent years, latent space based methods have achieved state-of-the-art performance by jointly learning semantic representations of products,…

Information Retrieval · Computer Science 2022-02-15 Fan Lu , Qimai Li , Bo Liu , Xiao-Ming Wu , Xiaotong Zhang , Fuyu Lv , Guli Lin , Sen Li , Taiwei Jin , Keping Yang

Learning graph representations via low-dimensional embeddings that preserve relevant network properties is an important class of problems in machine learning. We here present a novel method to embed directed acyclic graphs. Following prior…

Machine Learning · Computer Science 2018-06-08 Octavian-Eugen Ganea , Gary Bécigneul , Thomas Hofmann

The human brain is a complex system defined by multi-way, higher-order interactions invisible to traditional pairwise network models. Although a diverse array of analytical methods has been developed to address this shortcoming, the field…

Quantitative Methods · Quantitative Biology 2025-11-11 Mohamma Reza Salehi , Ali BashirGonbadi , Hamid Soltanian-Zadeh

Recent papers in the graph machine learning literature have introduced a number of approaches for hyperbolic representation learning. The asserted benefits are improved performance on a variety of graph tasks, node classification and link…

Machine Learning · Computer Science 2025-02-26 Isay Katsman , Anna Gilbert

Editing and manipulating graph-based models within immersive environments is largely unexplored and certain design activities could benefit from using those technologies. For example, in the case study of architectural modelling, the 3D…

Human-Computer Interaction · Computer Science 2020-01-06 Adrien Coppens , Berat Bicer , Naz Yilmaz , Serhat Aras

Recommender systems, which merely leverage user-item interactions for user preference prediction (such as the collaborative filtering-based ones), often face dramatic performance degradation when the interactions of users or items are…

Information Retrieval · Computer Science 2021-05-11 Xinxiao Zhao , Zhiyong Cheng , Lei Zhu , Jiecai Zheng , Xueqing Li

Recommender Systems have proliferated as general-purpose approaches to model a wide variety of consumer interaction data. Specific instances make use of signals ranging from user feedback, item relationships, geographic locality, social…

Information Retrieval · Computer Science 2018-08-31 Wang-Cheng Kang , Mengting Wan , Julian McAuley

In heterogeneous graphs, we can observe complex structures such as tree-like or hierarchical structures. Recently, the hyperbolic space has been widely adopted in many studies to effectively learn these complex structures. Although these…

Machine Learning · Computer Science 2026-01-14 Jongmin Park , Seunghoon Han , Hyewon Lee , Won-Yong Shin , Sungsu Lim

Hypergraphs are useful mathematical representations of overlapping and nested subsets of interacting units, including groups of genes or brain regions, economic cartels, political or military coalitions, and groups of products that are…

Methodology · Statistics 2026-02-03 Cornelius Fritz , Yubai Yuan , Michael Schweinberger

Complex systems frequently exhibit multi-way, rather than pairwise, interactions. These group interactions cannot be faithfully modeled as collections of pairwise interactions using graphs and instead require hypergraphs. However, methods…

Discrete Mathematics · Computer Science 2024-11-25 Jason Niu , Ilya D. Amburg , Sinan G. Aksoy , Ahmet Erdem Sarıyüce

Knowledge graph (KG) embedding aims at embedding entities and relations in a KG into a lowdimensional latent representation space. Existing KG embedding approaches model entities andrelations in a KG by utilizing real-valued ,…

Machine Learning · Computer Science 2021-03-24 Chengjin Xu , Mojtaba Nayyeri , Yung-Yu Chen , Jens Lehmann

Hyperbolic neural networks can effectively capture the inherent hierarchy of graph datasets, and consequently a powerful choice of GNNs. However, they entangle multiple incongruent (gyro-)vector spaces within a layer, which makes them…

Machine Learning · Computer Science 2023-06-07 Mehrdad Khatir , Nurendra Choudhary , Sutanay Choudhury , Khushbu Agarwal , Chandan K. Reddy

In computer vision tasks, features often come from diverse representations, domains (e.g., indoor and outdoor), and modalities (e.g., text, images, and videos). Effectively fusing these features is essential for robust performance,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-03 Dexuan Ding , Lei Wang , Liyun Zhu , Tom Gedeon , Piotr Koniusz

Hypergraphs have been becoming a popular choice to model complex, non-pairwise, and higher-order interactions for recommender system. However, compared with traditional graph-based methods, the constructed hypergraphs are usually much…

Social and Information Networks · Computer Science 2021-08-19 Yicong Li , Hongxu Chen , Xiangguo Sun , Zhenchao Sun , Lin Li , Lizhen Cui , Philip S. Yu , Guandong Xu

We introduce a taxonomy of interaction types and show that graphs are focal hypergraphs: every graph is canonically a focal hypergraph via its closed neighbourhood structure, and every graph dynamical model is a special case of the general…

Physics and Society · Physics 2026-03-05 Elkaïoum M. Moutuou

Node-link diagrams are widely used to visualize graphs. Most graph layout algorithms only use graph topology for aesthetic goals (e.g., minimize node occlusions and edge crossings) or use node attributes for exploration goals (e.g.,…

Data Structures and Algorithms · Computer Science 2023-01-20 Leixian Shen , Zhiwei Tai , Enya Shen , Jianmin Wang

The acknowledged model for networks of collaborations is the hypergraph model. Nonetheless when it comes to be visualized hypergraphs are transformed into simple graphs. Very often, the transformation is made by clique expansion of the…

Social and Information Networks · Computer Science 2017-07-04 Xavier Ouvrard , Jean-Marie Le Goff , Stéphane Marchand-Maillet

Metric learning aims to learn a highly discriminative model encouraging the embeddings of similar classes to be close in the chosen metrics and pushed apart for dissimilar ones. The common recipe is to use an encoder to extract embeddings…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Aleksandr Ermolov , Leyla Mirvakhabova , Valentin Khrulkov , Nicu Sebe , Ivan Oseledets

Learning generalizable self-supervised graph representations for downstream tasks is challenging. To this end, Contrastive Learning (CL) has emerged as a leading approach. The embeddings of CL are arranged on a hypersphere where similarity…

Machine Learning · Computer Science 2025-02-25 Yifei Zhang , Hao Zhu , Menglin Yang , Jiahong Liu , Rex Ying , Irwin King , Piotr Koniusz

Hypergraph Convolutional Neural Networks (HGCNNs) have demonstrated their potential in modeling high-order relations preserved in graph-structured data. However, most existing convolution filters are localized and determined by the…

Machine Learning · Computer Science 2022-04-15 Jiying Zhang , Yuzhao Chen , Xi Xiao , Runiu Lu , Shu-Tao Xia