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Finding meaningful representations and distances of hierarchical data is important in many fields. This paper presents a new method for hierarchical data embedding and distance. Our method relies on combining diffusion geometry, a central…

机器学习 · 计算机科学 2023-05-31 Ya-Wei Eileen Lin , Ronald R. Coifman , Gal Mishne , Ronen Talmon

Structuring latent representations in a hierarchical manner enables models to learn patterns at multiple levels of abstraction. However, most prevalent image understanding models focus on visual similarity, and learning visual hierarchies…

计算机视觉与模式识别 · 计算机科学 2026-01-07 Ziwei Wang , Sameera Ramasinghe , Chenchen Xu , Julien Monteil , Loris Bazzani , Thalaiyasingam Ajanthan

Learning fine-grained embeddings from coarse labels is a challenging task due to limited label granularity supervision, i.e., lacking the detailed distinctions required for fine-grained tasks. The task becomes even more demanding when…

计算机视觉与模式识别 · 计算机科学 2023-11-21 Shu-Lin Xu , Yifan Sun , Faen Zhang , Anqi Xu , Xiu-Shen Wei , Yi Yang

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…

计算与语言 · 计算机科学 2024-06-11 Xingwei Tan , Gabriele Pergola , Yulan He

With the prevalence of online social media, users' social connections have been widely studied and utilized to enhance the performance of recommender systems. In this paper, we explore the use of hyperbolic geometry for social…

信息检索 · 计算机科学 2021-02-19 Anchen Li , Bo Yang

Hyperbolic space has become a popular choice of manifold for representation learning of various datatypes from tree-like structures and text to graphs. Building on the success of deep learning with prototypes in Euclidean and hyperspherical…

机器学习 · 计算机科学 2021-11-25 Mina Ghadimi Atigh , Martin Keller-Ressel , Pascal Mettes

We introduce a simple autoencoder based on hyperbolic geometry for solving standard collaborative filtering problem. In contrast to many modern deep learning techniques, we build our solution using only a single hidden layer. Remarkably,…

信息检索 · 计算机科学 2020-08-18 Leyla Mirvakhabova , Evgeny Frolov , Valentin Khrulkov , Ivan Oseledets , Alexander Tuzhilin

Hyperbolic representation learning has been widely used to extract implicit hierarchies within data, and recently it has found its way to the open-world classification task of Generalized Category Discovery (GCD). However, prior hyperbolic…

机器学习 · 计算机科学 2026-02-06 Mohamad Dalal , Thomas B. Moeslund , Joakim Bruslund Haurum

Data representation in non-Euclidean spaces has proven effective for capturing hierarchical and complex relationships in real-world datasets. Hyperbolic spaces, in particular, provide efficient embeddings for hierarchical structures. This…

计算机视觉与模式识别 · 计算机科学 2024-09-27 Jacob Fein-Ashley , Ethan Feng , Minh Pham

Many high-dimensional practical data sets have hierarchical structures induced by graphs or time series. Such data sets are hard to process in Euclidean spaces and one often seeks low-dimensional embeddings in other space forms to perform…

机器学习 · 计算机科学 2022-04-13 Chao Pan , Eli Chien , Puoya Tabaghi , Jianhao Peng , Olgica Milenkovic

Machine unlearning methods have become increasingly important for selective concept removal in large pre-trained models. While recent work has explored unlearning in Euclidean contrastive vision-language models, the effectiveness of concept…

计算机视觉与模式识别 · 计算机科学 2025-04-15 Àlex Pujol Vidal , Sergio Escalera , Kamal Nasrollahi , Thomas B. Moeslund

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…

人工智能 · 计算机科学 2017-05-29 Maximilian Nickel , Douwe Kiela

Deep metric learning (DML) aims to learn a neural network mapping data to an embedding space, which can represent semantic similarity between data points. Hyperbolic space is attractive for DML since it can represent richer structures, such…

计算机视觉与模式识别 · 计算机科学 2026-04-21 Shozo Saeki , Minoru Kawahara , Hirohisa Aman

Recently, there has been an interest in embedding networks in hyperbolic space, since hyperbolic space has been shown to work well in capturing graph/network structure as it can naturally reflect some properties of complex networks.…

社会与信息网络 · 计算机科学 2020-11-04 Lili Wang , Ying Lu , Chenghan Huang , Soroush Vosoughi

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…

机器学习 · 计算机科学 2025-02-26 Isay Katsman , Anna Gilbert

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…

机器学习 · 计算机科学 2021-02-11 Diego Lazcano , Nicolás Fredes , Werner Creixell

Embedding into hyperbolic space is emerging as an effective representation technique for datasets that exhibit hierarchical structure. This development motivates the need for algorithms that are able to effectively extract knowledge and…

数据结构与算法 · 计算机科学 2020-09-03 Xian Wu , Moses Charikar

3D-aware visual pretraining has proven effective in improving the performance of downstream robotic manipulation tasks. However, existing methods are constrained to Euclidean embedding spaces, whose flat geometry limits their ability to…

机器人学 · 计算机科学 2026-03-13 Jin Yang , Ping Wei , Yixin Chen , Nanning Zheng

The issue of data sparsity poses a significant challenge to recommender systems. In response to this, algorithms that leverage side information such as review texts have been proposed. Furthermore, Cross-Domain Recommendation (CDR), which…

信息检索 · 计算机科学 2025-03-27 Yoonhyuk Choi , Jiho Choi , Taewook Ko , Chong-Kwon Kim

We introduce Hyperbolic Prototype Learning, a type of supervised learning, where class labels are represented by ideal points (points at infinity) in hyperbolic space. Learning is achieved by minimizing the 'penalized Busemann loss', a new…

机器学习 · 统计学 2020-10-16 Martin Keller-Ressel