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Representing data in hyperbolic space can effectively capture latent hierarchical relationships. With the goal of enabling accurate classification of points in hyperbolic space while respecting their hyperbolic geometry, we introduce…

Machine Learning · Computer Science 2018-06-04 Hyunghoon Cho , Benjamin DeMeo , Jian Peng , Bonnie Berger

Electronic Health Records (EHR) have been heavily used in modern healthcare systems for recording patients' admission information to hospitals. Many data-driven approaches employ temporal features in EHR for predicting specific diseases,…

Machine Learning · Computer Science 2021-12-07 Chang Lu , Chandan K. Reddy , Yue Ning

Various non-trivial spaces are becoming popular for embedding structured data such as graphs, texts, or images. Following spherical and hyperbolic spaces, more general product spaces have been proposed. However, searching for the best…

Machine Learning · Computer Science 2022-04-11 Kirill Shevkunov , Liudmila Prokhorenkova

We introduce hyperbolic attention networks to endow neural networks with enough capacity to match the complexity of data with hierarchical and power-law structure. A few recent approaches have successfully demonstrated the benefits of…

Nickel and Kiela (2017) present a new method for embedding tree nodes in the Poincare ball, and suggest that these hyperbolic embeddings are far more effective than Euclidean embeddings at embedding nodes in large, hierarchically structured…

Computation and Language · Computer Science 2021-09-17 Sameer Bansal , Adrian Benton

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…

Machine Learning · Computer Science 2021-11-25 Mina Ghadimi Atigh , Martin Keller-Ressel , Pascal Mettes

Hyperbolic graph convolutional networks (HGCNs) have demonstrated significant potential in extracting information from hierarchical graphs. However, existing HGCNs are limited to shallow architectures due to the computational expense of…

Machine Learning · Computer Science 2024-08-12 Jiaxu Liu , Xinping Yi , Xiaowei Huang

Recently, Graph Convolution Network (GCN) based methods have achieved outstanding performance for recommendation. These methods embed users and items in Euclidean space, and perform graph convolution on user-item interaction graphs.…

Information Retrieval · Computer Science 2021-08-11 Liping Wang , Fenyu Hu , Shu Wu , Liang Wang

Recent research in representation learning has shown that hierarchical data lends itself to low-dimensional and highly informative representations in hyperbolic space. However, even if hyperbolic embeddings have gathered attention in image…

Computer Vision and Pattern Recognition · Computer Science 2023-09-20 Gabriel Moreira , Manuel Marques , João Paulo Costeira , Alexander Hauptmann

In this paper, we present a method of embedding physics data manifolds with metric structure into lower dimensional spaces with simpler metrics, such as Euclidean and Hyperbolic spaces. We then demonstrate that it can be a powerful step in…

High Energy Physics - Phenomenology · Physics 2023-08-02 Sang Eon Park , Philip Harris , Bryan Ostdiek

Labeling and maintaining a commercial sound effects library is a time-consuming task exacerbated by databases that continually grow in size and undergo taxonomy updates. Moreover, sound search and taxonomy creation are complicated by…

Sound · Computer Science 2022-08-22 Alison B. Ma , Alexander Lerch

3D shape generation from text is a fundamental task in 3D representation learning. The text-shape pairs exhibit a hierarchical structure, where a general text like ``chair" covers all 3D shapes of the chair, while more detailed prompts…

Computer Vision and Pattern Recognition · Computer Science 2024-05-01 Zhiying Leng , Tolga Birdal , Xiaohui Liang , Federico Tombari

Learning task-specific representations of persistence diagrams is an important problem in topological data analysis and machine learning. However, current state of the art methods are restricted in terms of their expressivity as they are…

Machine Learning · Computer Science 2021-03-18 Panagiotis Kyriakis , Iordanis Fostiropoulos , Paul Bogdan

Finding a low dimensional representation of hierarchical, structured data described by a network remains a challenging problem in the machine learning community. An emerging approach is embedding these networks into hyperbolic space because…

Social and Information Networks · Computer Science 2019-05-03 David McDonald , Shan He

The hyperbolic manifold is a smooth manifold of negative constant curvature. While the hyperbolic manifold is well-studied in the literature, it has gained interest in the machine learning and natural language processing communities lately…

Machine Learning · Computer Science 2019-03-19 Pratik Jawanpuria , Mayank Meghwanshi , Bamdev Mishra

Robust generalization beyond training distributions remains a critical challenge for deep neural networks. This is especially pronounced in medical image analysis, where data is often scarce and covariate shifts arise from different…

Computer Vision and Pattern Recognition · Computer Science 2026-02-04 Francesco Di Salvo , Sebastian Doerrich , Jonas Alle , Christian Ledig

Real-world knowledge is often organized as hierarchies such as product taxonomies, medical ontologies, and label trees, yet learning hierarchical representations is challenging due to asymmetric structure and noisy semantics. We introduce…

Machine Learning · Computer Science 2026-05-04 Sahil Mishra , Srinitish Srinivasan , Sourish Dasgupta , Tanmoy Chakraborty

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

Hypergraph Neural Networks (HyGNNs) have demonstrated remarkable success in modeling higher-order relationships among entities. However, their performance often degrades on heterophilic hypergraphs, where nodes connected by the same…

Machine Learning · Computer Science 2026-02-17 Tianyi Ma , Yiyue Qian , Zehong Wang , Zheyuan Zhang , Chuxu Zhang , Yanfang Ye

Knowledge Graphs (KGs) are ubiquitous structures for information storagein several real-world applications such as web search, e-commerce, social networks, and biology. Querying KGs remains a foundational and challenging problem due to…

Machine Learning · Computer Science 2021-05-14 Nurendra Choudhary , Nikhil Rao , Sumeet Katariya , Karthik Subbian , Chandan K. Reddy