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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

Hyperbolic spaces, which have the capacity to embed tree structures without distortion owing to their exponential volume growth, have recently been applied to machine learning to better capture the hierarchical nature of data. In this…

Machine Learning · Computer Science 2021-03-18 Ryohei Shimizu , Yusuke Mukuta , Tatsuya Harada

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 embeddings have recently gained attention in machine learning due to their ability to represent hierarchical data more accurately and succinctly than their Euclidean analogues. However, multi-relational knowledge graphs often…

Machine Learning · Computer Science 2019-10-29 Ivana Balažević , Carl Allen , Timothy Hospedales

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

Learning the representation of data with hierarchical structures in the hyperbolic space attracts increasing attention in recent years. Due to the constant negative curvature, the hyperbolic space resembles tree metrics and captures the…

Machine Learning · Computer Science 2022-02-21 Huiru Xiao , Caigao Jiang , Yangqiu Song , James Zhang , Junwu Xiong

We consider the problem of multi-label classification where the labels lie in a hierarchy. However, unlike most existing works in hierarchical multi-label classification, we do not assume that the label-hierarchy is known. Encouraged by the…

Machine Learning · Computer Science 2021-01-14 Soumya Chatterjee , Ayush Maheshwari , Ganesh Ramakrishnan , Saketha Nath Jagaralpudi

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…

Machine Learning · Computer Science 2022-04-13 Chao Pan , Eli Chien , Puoya Tabaghi , Jianhao Peng , Olgica Milenkovic

Natural language text exhibits hierarchical structure in a variety of respects. Ideally, we could incorporate our prior knowledge of this hierarchical structure into unsupervised learning algorithms that work on text data. Recent work by…

Computation and Language · Computer Science 2018-06-13 Bhuwan Dhingra , Christopher J. Shallue , Mohammad Norouzi , Andrew M. Dai , George E. Dahl

Cross-lingual word embeddings can be applied to several natural language processing applications across multiple languages. Unlike prior works that use word embeddings based on the Euclidean space, this short paper presents a simple and…

Computation and Language · Computer Science 2022-06-28 Chandni Saxena , Mudit Chaudhary , Helen Meng

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

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

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

Hyperbolic geometry is an effective geometry for embedding hierarchical data structures. Hyperbolic learning has therefore become increasingly prominent in machine learning applications where data is hierarchically organized or governed by…

Artificial Intelligence · Computer Science 2025-11-27 Melika Ayoughi , Pascal Mettes , Paul Groth

Interpreting hierarchical structures latent in language is a key limitation of current language models (LMs). While previous research has implicitly leveraged these hierarchies to enhance LMs, approaches for their explicit encoding are yet…

Computation and Language · Computer Science 2024-11-22 Yuan He , Zhangdie Yuan , Jiaoyan Chen , Ian Horrocks

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

Many high-dimensional and large-volume data sets of practical relevance have hierarchical structures induced by trees, graphs or time series. Such data sets are hard to process in Euclidean spaces and one often seeks low-dimensional…

Machine Learning · Computer Science 2021-09-16 Eli Chien , Chao Pan , Puoya Tabaghi , Olgica Milenkovic

Hyperbolic spaces have recently gained momentum in the context of machine learning due to their high capacity and tree-likeliness properties. However, the representational power of hyperbolic geometry is not yet on par with Euclidean…

Machine Learning · Computer Science 2018-06-29 Octavian-Eugen Ganea , Gary Bécigneul , Thomas Hofmann

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

We consider the task of inferring is-a relationships from large text corpora. For this purpose, we propose a new method combining hyperbolic embeddings and Hearst patterns. This approach allows us to set appropriate constraints for…

Computation and Language · Computer Science 2019-02-05 Matt Le , Stephen Roller , Laetitia Papaxanthos , Douwe Kiela , Maximilian Nickel
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