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Hyperbolic-spaces are better suited to represent data with underlying hierarchical relationships, e.g., tree-like data. However, it is often necessary to incorporate, through alignment, different but related representations meaningfully.…

Machine Learning · Statistics 2020-12-03 Andrés Hoyos-Idrobo

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

Most of the existing literature regarding hyperbolic embedding concentrate upon supervised learning, whereas the use of unsupervised hyperbolic embedding is less well explored. In this paper, we analyze how unsupervised tasks can benefit…

Machine Learning · Computer Science 2021-03-31 Jiwoong Park , Junho Cho , Hyung Jin Chang , Jin Young Choi

Cross-lingual transfer of word embeddings aims to establish the semantic mappings among words in different languages by learning the transformation functions over the corresponding word embedding spaces. Successfully solving this problem…

Computation and Language · Computer Science 2018-09-12 Ruochen Xu , Yiming Yang , Naoki Otani , Yuexin Wu

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

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

Understanding the intricate mappings between visual stimuli and neural responses is a fundamental challenge in cognitive neuroscience. While current approaches predominantly align images and functional magnetic resonance imaging (fMRI)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Zihan Ma , Tian Xia , Kexin Wang , Xiao Li , Xiaowei He , Yudan Ren

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

Large Language Models (LLMs) have attracted significant attention in recommender systems for their excellent world knowledge capabilities. However, existing methods that rely on Euclidean space struggle to capture the rich hierarchical…

Information Retrieval · Computer Science 2025-04-22 Wentao Cheng , Zhida Qin , Zexue Wu , Pengzhan Zhou , Tianyu Huang

The Platonic Representation Hypothesis posits that neural networks trained on different modalities converge toward a shared statistical model of the world. Recent work exploits this convergence by aligning frozen pretrained vision and…

Machine Learning · Computer Science 2026-02-27 Simon Roschmann , Paul Krzakala , Sonia Mazelet , Quentin Bouniot , Zeynep Akata

Words are not created equal. In fact, they form an aristocratic graph with a latent hierarchical structure that the next generation of unsupervised learned word embeddings should reveal. In this paper, justified by the notion of…

Computation and Language · Computer Science 2018-11-26 Alexandru Tifrea , Gary Bécigneul , Octavian-Eugen Ganea

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 spaces have proven to be suitable for modeling data of hierarchical nature. As such we use the Poincare ball to embed sentences with the goal of proving how hyperbolic spaces can be used for solving Textual Entailment. To this…

Computation and Language · Computer Science 2024-06-25 Igor Petrovski

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

Cross-domain alignment play a key roles in tasks ranging from machine translation to transfer learning. Recently, purely unsupervised methods operating on monolingual embeddings have successfully been used to infer a bilingual lexicon…

Computation and Language · Computer Science 2022-09-22 Aissatou Diallo , Johannes Fürnkranz

Hierarchical data is common in many domains like life sciences and e-commerce, and its embeddings often play a critical role. While hyperbolic embeddings offer a theoretically grounded approach to representing hierarchies in low-dimensional…

Machine Learning · Computer Science 2026-04-15 Hui Yang , Jiaoyan Chen

Language models are increasingly applied to biological sequences like proteins and mRNA, yet their default Euclidean geometry may mismatch the hierarchical structures inherent to biological data. While hyperbolic geometry provides a better…

Machine Learning · Computer Science 2025-11-05 Max van Spengler , Artem Moskalev , Tommaso Mansi , Mangal Prakash , Rui Liao

Learning accurate drug representation is essential for tasks such as computational drug repositioning and prediction of drug side-effects. A drug hierarchy is a valuable source that encodes human knowledge of drug relations in a tree-like…

Machine Learning · Computer Science 2020-06-02 Ke Yu , Shyam Visweswaran , Kayhan Batmanghelich

Unsupervised cross-lingual embeddings mapping has provided a unique tool for completely unsupervised translation even for languages with different scripts. In this work we use this method for the task of unsupervised cross-lingual matching…

Computation and Language · Computer Science 2018-09-20 Denis Gordeev , Alexey Rey , Dmitry Shagarov
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