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Knowledge graphs have emerged as fundamental structures for representing complex relational data across scientific and enterprise domains. However, existing embedding methods face critical limitations when modeling diverse relationship…

Artificial Intelligence · Computer Science 2025-11-17 Jugal Gajjar , Kaustik Ranaware , Kamalasankari Subramaniakuppusamy , Vaibhav Gandhi

Hyperbolic geometry has been successfully applied in modeling brain cortical and subcortical surfaces with general topological structures. However such approaches, similar to other surface based brain morphology analysis methods, usually…

Image and Video Processing · Electrical Eng. & Systems 2021-02-23 J. Zhang , Q. Dong , J. Shi , Q. Li , C. M. Stonnington , B. A. Gutman , K. Chen , E. M. Reiman , R. J. Caselli , P. M. Thompson , J. Ye , Y. Wang

State-of-the-art recommendation algorithms -- especially the collaborative filtering (CF) based approaches with shallow or deep models -- usually work with various unstructured information sources for recommendation, such as textual…

Information Retrieval · Computer Science 2018-09-18 Yongfeng Zhang , Qingyao Ai , Xu Chen , Pengfei Wang

Hyperbolic spaces provide a natural geometry for representing hierarchical and tree-structured data due to their exponential volume growth. To leverage these benefits, neural networks require intrinsic and efficient components that operate…

Machine Learning · Computer Science 2026-02-26 Ziheng Chen , Bernhard Schölkopf , Nicu Sebe

The evolution of ransomware requires the development of more sophisticated detection methodologies capable of identifying malicious behaviors beyond traditional signature-based and heuristic techniques. The proposed Hierarchical…

Cryptography and Security · Computer Science 2025-03-26 Sergei Nikitka , Sebastian Harringford , Charlotte Montgomery , Algernon Braithwaite , Matthew Kowalski

Medical anomaly detection has emerged as a promising solution to challenges in data availability and labeling constraints. Traditional methods extract features from different layers of pre-trained networks in Euclidean space; however,…

Computer Vision and Pattern Recognition · Computer Science 2025-05-28 Alvaro Gonzalez-Jimenez , Simone Lionetti , Ludovic Amruthalingam , Philippe Gottfrois , Fabian Gröger , Marc Pouly , Alexander A. Navarini

Diffusion generative models (DMs) have achieved promising results in image and graph generation. However, real-world graphs, such as social networks, molecular graphs, and traffic graphs, generally share non-Euclidean topologies and hidden…

Machine Learning · Computer Science 2024-01-04 Lingfeng Wen , Xuan Tang , Mingjie Ouyang , Xiangxiang Shen , Jian Yang , Daxin Zhu , Mingsong Chen , Xian Wei

In this work, we study group recommendation in a particular scenario, namely Occasional Group Recommendation (OGR). Most existing works have addressed OGR by aggregating group members' personal preferences to learn the group representation.…

Information Retrieval · Computer Science 2021-05-10 Lei Guo , Hongzhi Yin , Tong Chen , Xiangliang Zhang , Kai Zheng

In existing models and embedding methods of networked systems, node features describing their qualities are usually overlooked in favor of focusing solely on node connectivity. This study introduces $FiD$-Mercator, a model-based ultra-low…

Physics and Society · Physics 2024-06-11 Robert Jankowski , Pegah Hozhabrierdi , Marián Boguñá , M. Ángeles Serrano

Aiming to alleviate data sparsity and cold-start problems of traditional recommender systems, incorporating knowledge graphs (KGs) to supplement auxiliary information has recently gained considerable attention. Via unifying the KG with…

Information Retrieval · Computer Science 2022-01-04 Yankai Chen , Menglin Yang , Yingxue Zhang , Mengchen Zhao , Ziqiao Meng , Jianye Hao , Irwin King

Supervision for metric learning has long been given in the form of equivalence between human-labeled classes. Although this type of supervision has been a basis of metric learning for decades, we argue that it hinders further advances in…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Sungyeon Kim , Boseung Jeong , Suha Kwak

With the rapid development of text-to-image generation technology, accurately assessing the alignment between generated images and text prompts has become a critical challenge. Existing methods rely on Euclidean space metrics, neglecting…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Wenzhi Chen , Bo Hu , Leida Li , Lihuo He , Wen Lu , Xinbo Gao

Label inventories for fine-grained entity typing have grown in size and complexity. Nonetheless, they exhibit a hierarchical structure. Hyperbolic spaces offer a mathematically appealing approach for learning hierarchical representations of…

Computation and Language · Computer Science 2020-10-06 Federico López , Michael Strube

Temporal knowledge graph (TKG) reasoning predicts future events based on historical data, but it's challenging due to the complex semantic and hierarchical information involved. Existing Euclidean models excel at capturing semantics but…

Machine Learning · Computer Science 2024-09-04 Siling Feng , Zhisheng Qi , Cong Lin

Personalized recommendation is ubiquitous, playing an important role in many online services. Substantial research has been dedicated to learning vector representations of users and items with the goal of predicting a user's preference for…

Information Retrieval · Computer Science 2020-01-03 Jianing Sun , Yingxue Zhang , Chen Ma , Mark Coates , Huifeng Guo , Ruiming Tang , Xiuqiang He

Most previous heterogeneous graph embedding models represent elements in a heterogeneous graph as vector representations in a low-dimensional Euclidean space. However, because heterogeneous graphs inherently possess complex structures, such…

Machine Learning · Computer Science 2024-04-16 Jongmin Park , Seunghoon Han , Soohwan Jeong , Sungsu Lim

Recently, there has been a rising surge of momentum for deep representation learning in hyperbolic spaces due to theirhigh capacity of modeling data like knowledge graphs or synonym hierarchies, possessing hierarchical structure. We refer…

Machine Learning · Computer Science 2021-02-18 Wei Peng , Tuomas Varanka , Abdelrahman Mostafa , Henglin Shi , Guoying Zhao

Recommender systems have become an essential component of many online platforms, providing personalized recommendations to users. A crucial aspect is embedding techniques that convert the high-dimensional discrete features, such as user and…

Information Retrieval · Computer Science 2025-10-23 Maolin Wang , Xinjian Zhao , Wanyu Wang , Sheng Zhang , Jiansheng Li , Bowen Yu , Binhao Wang , Shucheng Zhou , Dawei Yin , Qing Li , Ruocheng Guo , Xiangyu Zhao

Although self-/un-supervised methods have led to rapid progress in visual representation learning, these methods generally treat objects and scenes using the same lens. In this paper, we focus on learning representations for objects and…

Computer Vision and Pattern Recognition · Computer Science 2022-12-02 Songwei Ge , Shlok Mishra , Simon Kornblith , Chun-Liang Li , David Jacobs

Hyperbolic models are known to produce networks with properties observed empirically in most network datasets, including heavy-tailed degree distribution, high clustering, and hierarchical structures. As a result, several embeddings…

Computation · Statistics 2025-05-16 Simon Lizotte , Jean-Gabriel Young , Antoine Allard