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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…

Machine Learning · Computer Science 2023-05-31 Ya-Wei Eileen Lin , Ronald R. Coifman , Gal Mishne , Ronen Talmon

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

How can we represent hierarchical information present in large type inventories for entity typing? We study the ability of hyperbolic embeddings to capture hierarchical relations between mentions in context and their target types in a…

Computation and Language · Computer Science 2019-06-07 Federico López , Benjamin Heinzerling , Michael Strube

Hyperbolic space can naturally embed hierarchies, unlike Euclidean space. Hyperbolic Neural Networks (HNNs) exploit such representational power by lifting Euclidean features into hyperbolic space for classification, outperforming Euclidean…

Machine Learning · Computer Science 2022-05-17 Yunhui Guo , Xudong Wang , Yubei Chen , Stella X. Yu

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…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Shu-Lin Xu , Yifan Sun , Faen Zhang , Anqi Xu , Xiu-Shen Wei , Yi Yang

Most real-world datasets consist of a natural hierarchy between classes or an inherent label structure that is either already available or can be constructed cheaply. However, most existing representation learning methods ignore this…

Machine Learning · Computer Science 2024-12-03 Aditya Sinha , Siqi Zeng , Makoto Yamada , Han Zhao

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…

Data Structures and Algorithms · Computer Science 2020-09-03 Xian Wu , Moses Charikar

Retrieval-augmented generation (RAG) enables large language models (LLMs) to access external knowledge, helping mitigate hallucinations and enhance domain-specific expertise. Graph-based RAG enhances structural reasoning by introducing…

Computation and Language · Computer Science 2025-11-26 Linxiao Cao , Ruitao Wang , Jindong Li , Zhipeng Zhou , Menglin Yang

Backward compatible representation learning enables updated models to integrate seamlessly with existing ones, avoiding to reprocess stored data. Despite recent advances, existing compatibility approaches in Euclidean space neglect the…

Machine Learning · Computer Science 2025-06-09 Ngoc Bui , Menglin Yang , Runjin Chen , Leonardo Neves , Mingxuan Ju , Rex Ying , Neil Shah , Tong Zhao

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

Natural language data exhibit tree-like hierarchical structures such as the hypernym-hyponym relations in WordNet. FastText, as the state-of-the-art text classifier based on shallow neural network in Euclidean space, may not model such…

Computation and Language · Computer Science 2021-12-20 Yudong Zhu , Di Zhou , Jinghui Xiao , Xin Jiang , Xiao Chen , Qun Liu

Learning low-dimensional numerical representations from symbolic data, e.g., embedding the nodes of a graph into a geometric space, is an important concept in machine learning. While embedding into Euclidean space is common, recent…

Machine Learning · Computer Science 2024-10-10 Thomas Bläsius , Jean-Pierre von der Heydt , Maximilian Katzmann , Nikolai Maas

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

Learning hyperbolic embeddings for knowledge graph (KG) has gained increasing attention due to its superiority in capturing hierarchies. However, some important operations in hyperbolic space still lack good definitions, making existing…

Machine Learning · Computer Science 2023-02-09 Wentao Shi , Junkang Wu , Xuezhi Cao , Jiawei Chen , Wenqiang Lei , Wei Wu , Xiangnan He

In practice, many medical datasets have an underlying taxonomy defined over the disease label space. However, existing classification algorithms for medical diagnoses often assume semantically independent labels. In this study, we aim to…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Zhen Yu , Toan Nguyen , Yaniv Gal , Lie Ju , Shekhar S. Chandra , Lei Zhang , Paul Bonnington , Victoria Mar , Zhiyong Wang , Zongyuan Ge

Foundation models pre-trained on massive datasets, including large language models (LLMs), vision-language models (VLMs), and large multimodal models, have demonstrated remarkable success in diverse downstream tasks. However, recent studies…

Machine Learning · Computer Science 2025-07-25 Neil He , Hiren Madhu , Ngoc Bui , Menglin Yang , Rex Ying

Hyperbolic geometry has emerged as a powerful tool for modeling complex, structured data, particularly where hierarchical or tree-like relationships are present. By enabling embeddings with lower distortion, hyperbolic neural networks offer…

Machine Learning · Computer Science 2025-06-18 Pol Arévalo , Alexis Molina , Álvaro Ciudad

Recently, there has been a surge of interest in representation learning in hyperbolic spaces, driven by their ability to represent hierarchical data with significantly fewer dimensions than standard Euclidean spaces. However, the viability…

Machine Learning · Computer Science 2022-11-02 Melanie Weber , Manzil Zaheer , Ankit Singh Rawat , Aditya Menon , Sanjiv Kumar

Hierarchical reinforcement learning deals with the problem of breaking down large tasks into meaningful sub-tasks. Autonomous discovery of these sub-tasks has remained a challenging problem. We propose a novel method of learning sub-tasks…

Machine Learning · Computer Science 2019-02-19 Saket Tiwari , M. Prannoy

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