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3D contrastive representation learning has exhibited remarkable efficacy across various downstream tasks. However, existing contrastive learning paradigms based on cosine similarity fail to deeply explore the potential intra-modal…

Computer Vision and Pattern Recognition · Computer Science 2024-09-25 Naiwen Hu , Haozhe Cheng , Yifan Xie , Pengcheng Shi , Jihua Zhu

The aim of object-centric vision is to construct an explicit representation of the objects in a scene. This representation is obtained via a set of interchangeable modules called \emph{slots} or \emph{object files} that compete for local…

Computer Vision and Pattern Recognition · Computer Science 2023-06-06 Ayush Chakravarthy , Trang Nguyen , Anirudh Goyal , Yoshua Bengio , Michael C. Mozer

Recent papers in the graph machine learning literature have introduced a number of approaches for hyperbolic representation learning. The asserted benefits are improved performance on a variety of graph tasks, node classification and link…

Machine Learning · Computer Science 2025-02-26 Isay Katsman , Anna Gilbert

In this work, we propose a fashion item recommendation model that incorporates hyperbolic geometry into user and item representations. Using hyperbolic space, our model aims to capture implicit hierarchies among items based on their visual…

Information Retrieval · Computer Science 2024-09-05 Ryotaro Shimizu , Yu Wang , Masanari Kimura , Yuki Hirakawa , Takashi Wada , Yuki Saito , Julian McAuley

The arrangement of network nodes in hyperbolic spaces has become a widely studied problem, motivated by numerous results suggesting the existence of hidden metric spaces behind the structure of complex networks. Although several methods…

Physics and Society · Physics 2023-02-06 Bianka Kovács , Gergely Palla

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

Hyperbolic geometry has emerged as a powerful tool for modeling complex, structured data, particularly where hierarchical or tree-like relationships are present. By enabling embeddings with lower distortion, hyperbolic neural networks offer…

Machine Learning · Computer Science 2025-06-18 Pol Arévalo , Alexis Molina , Álvaro Ciudad

In practice, many medical datasets have an underlying taxonomy defined over the disease label space. However, existing classification algorithms for medical diagnoses often assume semantically independent labels. In this study, we aim to…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Zhen Yu , Toan Nguyen , Yaniv Gal , Lie Ju , Shekhar S. Chandra , Lei Zhang , Paul Bonnington , Victoria Mar , Zhiyong Wang , Zongyuan Ge

Hierarchical data arise in countless domains, from biological taxonomies and organizational charts to legal codes and knowledge graphs. Residual Quantization (RQ) is widely used to generate discrete, multitoken representations for such data…

Machine Learning · Computer Science 2025-05-20 Piotr Piękos , Subhradeep Kayal , Alexandros Karatzoglou

Recent research has shown that alignment between the structure of graph data and the geometry of an embedding space is crucial for learning high-quality representations of the data. The uniform geometry of Euclidean and hyperbolic spaces…

Machine Learning · Computer Science 2023-06-27 Wei Zhao , Federico Lopez , J. Maxwell Riestenberg , Michael Strube , Diaaeldin Taha , Steve Trettel

This paper addresses key challenges in object-centric representation learning of video. While existing approaches struggle with complex scenes, we propose a novel weakly-supervised framework that emphasises geometric understanding and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Phúc H. Le Khac , Graham Healy , Alan F. Smeaton

Existing weakly supervised video violence detection (VVD) methods primarily rely on Euclidean representation learning, which often struggles to distinguish visually similar yet semantically distinct events due to limited hierarchical…

Computer Vision and Pattern Recognition · Computer Science 2025-04-29 Jiaxu Leng , Zhanjie Wu , Mingpi Tan , Mengjingcheng Mo , Jiankang Zheng , Qingqing Li , Ji Gan , Xinbo Gao

The study of neural representations, both in biological and artificial systems, is increasingly revealing the importance of geometric and topological structures. Inspired by this, we introduce Event2Vec, a novel framework for learning…

Machine Learning · Computer Science 2025-12-02 Antonin Sulc

Visual environments are inherently hierarchical, as a panoramic view naturally encompasses and organizes multiple perspective views within its field. Capturing this hierarchy is crucial for effective perspective-to-equirectangular (P2E)…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Suhan Woo , Seongwon Lee , Jinwoo Jang , Euntai Kim

Hyperbolic geometry have shown significant potential in modeling complex structured data, particularly those with underlying tree-like and hierarchical structures. Despite the impressive performance of various hyperbolic neural networks…

Machine Learning · Computer Science 2025-08-26 Menglin Yang , Harshit Verma , Delvin Ce Zhang , Jiahong Liu , Irwin King , Rex Ying

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

Metric learning plays a critical role in training image retrieval and classification. It is also a key algorithm in representation learning, e.g., for feature learning and its alignment in metric space. Hyperbolic embedding has been…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Shiyang Yan , Zongxuan Liu , Lin Xu

Spatial Transcriptomics (ST) merges the benefits of pathology images and gene expression, linking molecular profiles with tissue structure to analyze spot-level function comprehensively. Predicting gene expression from histology images is a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Chen Zhang , Yilu An , Ying Chen , Hao Li , Xitong Ling , Lihao Liu , Junjun He , Yuxiang Lin , Zihui Wang , Rongshan Yu

Object-centric slot attention is a powerful framework for unsupervised learning of structured and explainable representations that can support reasoning about objects and actions, including in surgical videos. While conventional…

Image and Video Processing · Electrical Eng. & Systems 2026-03-04 Guiqiu Liao , Matjaz Jogan , Marcel Hussing , Kenta Nakahashi , Kazuhiro Yasufuku , Amin Madani , Eric Eaton , Daniel A. Hashimoto

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
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