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Embedding the data in hyperbolic spaces can preserve complex relationships in very few dimensions, thus enabling compact models and improving efficiency of machine learning (ML) algorithms. The underlying idea is that hyperbolic…

Machine Learning · Computer Science 2025-01-14 Vladimir Jaćimović

Hyperbolic deep learning leverages the metric properties of hyperbolic spaces to develop efficient and informative embeddings of hierarchical data. Here, we focus on the solvable group structure of hyperbolic spaces, which follows naturally…

Machine Learning · Computer Science 2025-06-02 Federico Milanesio , Matteo Santoro , Pietro G. Fré , Guido Sanguinetti

Hyperbolic space and hyperbolic embeddings are becoming a popular research field for recommender systems. However, it is not clear under what circumstances the hyperbolic space should be considered. To fill this gap, This paper provides…

Information Retrieval · Computer Science 2022-01-26 Sixiao Zhang , Hongxu Chen , Xiao Ming , Lizhen Cui , Hongzhi Yin , Guandong Xu

Pathology is essential for cancer diagnosis, with multiple instance learning (MIL) widely used for whole slide image (WSI) analysis. WSIs exhibit a natural hierarchy -- patches, regions, and slides -- with distinct semantic associations.…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Peixiang Huang , Yanyan Huang , Weiqin Zhao , Junjun He , Lequan Yu

Insect classification is important for agricultural management and ecological research, as it directly affects crop health and production. However, this task remains challenging due to the complex characteristics of insects, class…

Computer Vision and Pattern Recognition · Computer Science 2025-10-08 Arefin Ittesafun Abian , Debopom Sutradhar , Md Rafi Ur Rashid , Reem E. Mohamed , Md Rafiqul Islam , Asif Karim , Kheng Cher Yeo , Sami Azam

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

Training multimodal networks requires a vast amount of data due to their larger parameter space compared to unimodal networks. Active learning is a widely used technique for reducing data annotation costs by selecting only those samples…

Multimedia · Computer Science 2023-08-22 Meng Shen , Yizheng Huang , Jianxiong Yin , Heqing Zou , Deepu Rajan , Simon See

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

We introduce a deep multitask architecture to integrate multityped representations of multimodal objects. This multitype exposition is less abstract than the multimodal characterization, but more machine-friendly, and thus is more precise…

Machine Learning · Statistics 2016-03-07 Truyen Tran , Dinh Phung , Svetha Venkatesh

This paper investigates the notion of learning user and item representations in non-Euclidean space. Specifically, we study the connection between metric learning in hyperbolic space and collaborative filtering by exploring Mobius…

Information Retrieval · Computer Science 2019-12-02 Lucas Vinh Tran , Yi Tay , Shuai Zhang , Gao Cong , Xiaoli Li

Cancer clinics capture disease data at various scales, from genetic to organ level. Current bioinformatic methods struggle to handle the heterogeneous nature of this data, especially with missing modalities. We propose PARADIGM, a Graph…

Cell Behavior · Quantitative Biology 2024-11-22 Asim Waqas , Aakash Tripathi , Paul Stewart , Mia Naeini , Matthew B. Schabath , Ghulam Rasool

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

Many complex networks exhibit hierarchical, tree-like structures, making hyperbolic space a natural candidate wherein to learn representations of them. Based on this observation, Hyperbolic Graph Neural Networks (HGNNs) have been widely…

Machine Learning · Computer Science 2026-05-15 Dionisia Naddeo , Jonas Linkerhägner , Nicola Toschi , Geri Skenderi , Veronica Lachi

Embedding is a common technique for analyzing multi-dimensional data. However, the embedding projection cannot always form significant and interpretable visual structures that foreshadow underlying data patterns. We propose an approach that…

Human-Computer Interaction · Computer Science 2022-09-26 Jie Li , Chun-qi Zhou

Modelling taxonomic and thematic relatedness is important for building AI with comprehensive natural language understanding. The goal of this paper is to learn more about how taxonomic information is structurally encoded in embeddings. To…

Computation and Language · Computer Science 2023-01-26 Filip Klubička , John D. Kelleher

Learning from graph-structured data is an important task in machine learning and artificial intelligence, for which Graph Neural Networks (GNNs) have shown great promise. Motivated by recent advances in geometric representation learning, we…

Machine Learning · Computer Science 2019-10-30 Qi Liu , Maximilian Nickel , Douwe Kiela

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

Biological and cellular systems are often modeled as graphs in which vertices represent objects of interest (genes, proteins, drugs) and edges represent relational ties among these objects (binds-to, interacts-with, regulates). This…

Machine Learning · Statistics 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac

The objective in extreme multi-label learning is to train a classifier that can automatically tag a novel data point with the most relevant subset of labels from an extremely large label set. Embedding based approaches make training and…

Machine Learning · Computer Science 2015-07-13 Kush Bhatia , Himanshu Jain , Purushottam Kar , Prateek Jain , Manik Varma

Multidimensional scaling (MDS) is a widely used approach to representing high-dimensional, dependent data. MDS works by assigning each observation a location on a low-dimensional geometric manifold, with distance on the manifold…

Methodology · Statistics 2023-08-16 Bolun Liu , Shane Lubold , Adrian E. Raftery , Tyler H. McCormick