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The non-Euclidean geometry of hyperbolic spaces has recently garnered considerable attention in the realm of representation learning. Current endeavors in hyperbolic representation largely presuppose that the underlying hierarchies can be…

Machine Learning · Computer Science 2023-06-16 Menglin Yang , Min Zhou , Rex Ying , Yankai Chen , Irwin King

We consider the task of representation learning for unsupervised segmentation of 3D voxel-grid biomedical images. We show that models that capture implicit hierarchical relationships between subvolumes are better suited for this task. To…

Computer Vision and Pattern Recognition · Computer Science 2021-10-27 Joy Hsu , Jeffrey Gu , Gong-Her Wu , Wah Chiu , Serena Yeung

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

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

Recently, hyperbolic space has risen as a promising alternative for semi-supervised graph representation learning. Many efforts have been made to design hyperbolic versions of neural network operations. However, the inspiring geometric…

Machine Learning · Computer Science 2022-01-24 Jiahong Liu , Menglin Yang , Min Zhou , Shanshan Feng , Philippe Fournier-Viger

This paper focuses on the problem of unsupervised alignment of hierarchical data such as ontologies or lexical databases. This is a problem that appears across areas, from natural language processing to bioinformatics, and is typically…

Machine Learning · Computer Science 2020-05-11 David Alvarez-Melis , Youssef Mroueh , Tommi S. Jaakkola

Graph-structured data are widespread in real-world applications, such as social networks, recommender systems, knowledge graphs, chemical molecules etc. Despite the success of Euclidean space for graph-related learning tasks, its ability to…

Machine Learning · Computer Science 2022-11-09 Min Zhou , Menglin Yang , Lujia Pan , Irwin King

Learning accurate drug representations is essential for task such as computational drug repositioning. A drug hierarchy is a valuable source that encodes knowledge of relations among drugs in a tree-like structure where drugs that act on…

Biomolecules · Quantitative Biology 2022-08-15 Ke Yu , Shyam Visweswaran , Kayhan Batmanghelich

Hyperbolic manifolds for visual representation learning allow for effective learning of semantic class hierarchies by naturally embedding tree-like structures with low distortion within a low-dimensional representation space. The highly…

Computer Vision and Pattern Recognition · Computer Science 2023-05-19 Aiden Durrant , Georgios Leontidis

In machine learning, data is usually represented in a (flat) Euclidean space where distances between points are along straight lines. Researchers have recently considered more exotic (non-Euclidean) Riemannian manifolds such as hyperbolic…

Machine Learning · Computer Science 2021-01-12 Marc T. Law , Jos Stam

Hyperbolic geometry has emerged as an effective latent space for representing complex networks, owing to its ability to capture hierarchical organization and heterogeneous connectivity patterns using low-dimensional embeddings. As a result,…

Machine Learning · Computer Science 2026-05-01 Sofía Pérez Casulo , Marcelo Fiori , Bernardo Marenco , Federico Larroca

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

We introduce a framework for learning from unlabeled video what is predictable in the future. Instead of committing up front to features to predict, our approach learns from data which features are predictable. Based on the observation that…

Computer Vision and Pattern Recognition · Computer Science 2021-01-06 Dídac Surís , Ruoshi Liu , Carl Vondrick

Due to its geometric properties, hyperbolic space can support high-fidelity embeddings of tree- and graph-structured data, upon which various hyperbolic networks have been developed. Existing hyperbolic networks encode geometric priors not…

Machine Learning · Computer Science 2023-03-14 Tao Yu , Christopher De Sa

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…

Robotics · Computer Science 2026-03-13 Jin Yang , Ping Wei , Yixin Chen , Nanning Zheng

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

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

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

Unsupervised learning allows us to leverage unlabelled data, which has become abundantly available, and to create embeddings that are usable on a variety of downstream tasks. However, the typical lack of interpretability of unsupervised…

Machine Learning · Computer Science 2023-09-29 Gregory Scafarto , Madalina Ciortan , Simon Tihon , Quentin Ferre

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
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