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Hyperbolic representations are effective in modeling knowledge graph data which is prevalently used to facilitate multi-hop reasoning. However, a rigorous and detailed comparison of the two spaces for this task is lacking. In this paper,…

Computation and Language · Computer Science 2025-07-08 Simon Welz , Lucie Flek , Akbar Karimi

Hyperbolic networks have shown prominent improvements over their Euclidean counterparts in several areas involving hierarchical datasets in various domains such as computer vision, graph analysis, and natural language processing. However,…

Machine Learning · Computer Science 2022-06-09 Nurendra Choudhary , Chandan K. Reddy

Cross-Domain Recommendation (CDR) seeks to utilize knowledge from different domains to alleviate the problem of data sparsity in the target recommendation domain, and it has been gaining more attention in recent years. Although there have…

Information Retrieval · Computer Science 2024-07-08 Xin Yang , Heng Chang , Zhijian Lai , Jinze Yang , Xingrun Li , Yu Lu , Shuaiqiang Wang , Dawei Yin , Erxue Min

Matrix factorization (MF) is a simple collaborative filtering technique that achieves superior recommendation accuracy by decomposing the user-item interaction matrix into user and item latent matrices. Because the model typically learns…

Information Retrieval · Computer Science 2024-03-11 Kai Sugahara , Kazushi Okamoto

Representing graphs as sets of node embeddings in certain curved Riemannian manifolds has recently gained momentum in machine learning due to their desirable geometric inductive biases, e.g., hierarchical structures benefit from hyperbolic…

Machine Learning · Computer Science 2020-06-09 Calin Cruceru , Gary Bécigneul , Octavian-Eugen Ganea

Recently, Hyperbolic Spaces in the context of Non-Euclidean Deep Learning have gained popularity because of their ability to represent hierarchical data. We propose that it is possible to take advantage of the hierarchical characteristic…

Machine Learning · Computer Science 2021-02-11 Diego Lazcano , Nicolás Fredes , Werner Creixell

Hyperbolic geometry have shown significant potential in modeling complex structured data, particularly those with underlying tree-like and hierarchical structures. Despite the impressive performance of various hyperbolic neural networks…

Machine Learning · Computer Science 2025-08-26 Menglin Yang , Harshit Verma , Delvin Ce Zhang , Jiahong Liu , Irwin King , Rex Ying

Detecting events and their evolution through time is a crucial task in natural language understanding. Recent neural approaches to event temporal relation extraction typically map events to embeddings in the Euclidean space and train a…

Computation and Language · Computer Science 2024-06-11 Xingwei Tan , Gabriele Pergola , Yulan He

Multi-step reasoning is a fundamental challenge in artificial intelligence, with applications ranging from mathematical problem-solving to decision-making in dynamic environments. Reinforcement Learning (RL) has shown promise in enabling…

Machine Learning · Computer Science 2025-07-24 Tao Xu , Dung-Yang Lee , Momiao Xiong

In recent years, there has been a growing trend of incorporating hyperbolic geometry methods into computer vision. While these methods have achieved state-of-the-art performance on various metric learning tasks using hyperbolic distance…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Yun Yue , Fangzhou Lin , Guanyi Mou , Ziming Zhang

Deep representation learning is a ubiquitous part of modern computer vision. While Euclidean space has been the de facto standard manifold for learning visual representations, hyperbolic space has recently gained rapid traction for learning…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Pascal Mettes , Mina Ghadimi Atigh , Martin Keller-Ressel , Jeffrey Gu , Serena Yeung

We introduce hyperbolic attention networks to endow neural networks with enough capacity to match the complexity of data with hierarchical and power-law structure. A few recent approaches have successfully demonstrated the benefits of…

Hierarchical 3D grouping aims to recover scene groups across multiple granularities, from fine object parts to complete objects, without relying on semantic labels or a fixed vocabulary. The main challenge is to transform 2D…

Computer Vision and Pattern Recognition · Computer Science 2026-05-13 ByungHa Ko , Youngmin Lee , Dong Hwan Kim

As a step beyond traditional personalized recommendation, group recommendation is the task of suggesting items that can satisfy a group of users. In group recommendation, the core is to design preference aggregation functions to obtain a…

Information Retrieval · Computer Science 2022-12-06 Tong Chen , Hongzhi Yin , Jing Long , Quoc Viet Hung Nguyen , Yang Wang , Meng Wang

3D contrastive representation learning has exhibited remarkable efficacy across various downstream tasks. However, existing contrastive learning paradigms based on cosine similarity fail to deeply explore the potential intra-modal…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Naiwen Hu , Haozhe Cheng , Yifan Xie , Pengcheng Shi , Jihua Zhu

Representation learning has become an invaluable approach for learning from symbolic data such as text and graphs. However, while complex symbolic datasets often exhibit a latent hierarchical structure, state-of-the-art methods typically…

Artificial Intelligence · Computer Science 2017-05-29 Maximilian Nickel , Douwe Kiela

Autonomous robots are increasingly becoming a strong fixture in social environments. Effective crowd navigation requires not only safe yet fast planning, but should also enable interpretability and computational efficiency for working in…

Continual learning has traditionally focused on classifying either instances or classes, but real-world applications, such as robotics and self-driving cars, require models to handle both simultaneously. To mirror real-life scenarios, we…

Computer Vision and Pattern Recognition · Computer Science 2025-06-13 Melika Ayoughi , Mina Ghadimi Atigh , Mohammad Mahdi Derakhshani , Cees G. M. Snoek , Pascal Mettes , Paul Groth

Image-text representation learning forms a cornerstone in vision-language models, where pairs of images and textual descriptions are contrastively aligned in a shared embedding space. Since visual and textual concepts are naturally…

Computer Vision and Pattern Recognition · Computer Science 2025-03-04 Avik Pal , Max van Spengler , Guido Maria D'Amely di Melendugno , Alessandro Flaborea , Fabio Galasso , Pascal Mettes

Visual environments are inherently hierarchical, as a panoramic view naturally encompasses and organizes multiple perspective views within its field. Capturing this hierarchy is crucial for effective perspective-to-equirectangular (P2E)…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Suhan Woo , Seongwon Lee , Jinwoo Jang , Euntai Kim