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Deep representation learning is a ubiquitous part of modern computer vision. While Euclidean space has been the de facto standard manifold for learning visual representations, hyperbolic space has recently gained rapid traction for learning…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Pascal Mettes , Mina Ghadimi Atigh , Martin Keller-Ressel , Jeffrey Gu , Serena Yeung

Hyperbolic spaces allow for more efficient modeling of complex, hierarchical structures, which is particularly beneficial in tasks involving multi-modal data. Although hyperbolic geometries have been proven effective for language-image…

Computer Vision and Pattern Recognition · Computer Science 2025-01-08 Yingjie Liu , Pengyu Zhang , Ziyao He , Mingsong Chen , Xuan Tang , Xian Wei

Foundation models pre-trained on massive datasets, including large language models (LLMs), vision-language models (VLMs), and large multimodal models, have demonstrated remarkable success in diverse downstream tasks. However, recent studies…

Machine Learning · Computer Science 2025-07-25 Neil He , Hiren Madhu , Ngoc Bui , Menglin Yang , Rex Ying

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

Machine unlearning is a complex process that necessitates the model to diminish the influence of the training data while keeping the loss of accuracy to a minimum. Despite the numerous studies on machine unlearning in recent years, the…

Machine Learning · Computer Science 2024-05-14 Zixin Wang , Kongyang Chen

Object detection, for the most part, has been formulated in the euclidean space, where euclidean or spherical geodesic distances measure the similarity of an image region to an object class prototype. In this work, we study whether a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Christopher Lang , Alexander Braun , Abhinav Valada

Hyperbolic spaces have recently gained momentum in the context of machine learning due to their high capacity and tree-likeliness properties. However, the representational power of hyperbolic geometry is not yet on par with Euclidean…

Machine Learning · Computer Science 2018-06-29 Octavian-Eugen Ganea , Gary Bécigneul , Thomas Hofmann

Machine unlearning (MU) seeks to remove knowledge of specific data samples from trained models without the necessity for complete retraining, a task made challenging by the dual objectives of effective erasure of data and maintaining the…

Machine Learning · Computer Science 2024-07-16 Mark He Huang , Lin Geng Foo , Jun Liu

Machine unlearning aims to eliminate the influence of a subset of training samples (i.e., unlearning samples) from a trained model. Effectively and efficiently removing the unlearning samples without negatively impacting the overall model…

Machine Learning · Computer Science 2024-01-22 Hong kyu Lee , Qiuchen Zhang , Carl Yang , Jian Lou , Li Xiong

The hyperbolic space, characterized by a constant negative curvature and exponentially expanding space, aligns well with the structural properties of heterogeneous graphs. However, although heterogeneous graphs inherently possess diverse…

Machine Learning · Computer Science 2025-06-23 Jongmin Park , Seunghoon Han , Won-Yong Shin , Sungsu Lim

With the rapid development of text-to-image generation technology, accurately assessing the alignment between generated images and text prompts has become a critical challenge. Existing methods rely on Euclidean space metrics, neglecting…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Wenzhi Chen , Bo Hu , Leida Li , Lihuo He , Wen Lu , Xinbo Gao

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

The past a few years have witnessed the great success of large language models, demonstrating powerful capabilities in comprehending textual data and generating human-like languages. Large language models achieve success by being trained on…

Computation and Language · Computer Science 2025-03-20 Estrid He , Tabinda Sarwar , Ibrahim Khalil , Xun Yi , Ke Wang

Computer vision tasks such as image classification, image retrieval and few-shot learning are currently dominated by Euclidean and spherical embeddings, so that the final decisions about class belongings or the degree of similarity are made…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Valentin Khrulkov , Leyla Mirvakhabova , Evgeniya Ustinova , Ivan Oseledets , Victor Lempitsky

Machine Unlearning has emerged as a critical area in artificial intelligence, addressing the need to selectively remove learned data from machine learning models in response to data privacy regulations. This paper provides a comprehensive…

Multimodal Large Language Models (MLLMs) achieve impressive performance once optimized on massive datasets. Such datasets often contain sensitive or copyrighted content, raising significant data privacy concerns. Regulatory frameworks…

Computer Vision and Pattern Recognition · Computer Science 2025-11-17 Haokun Chen , Jianing Li , Yao Zhang , Jinhe Bi , Yan Xia , Jindong Gu , Volker Tresp

Learning fine-grained embeddings from coarse labels is a challenging task due to limited label granularity supervision, i.e., lacking the detailed distinctions required for fine-grained tasks. The task becomes even more demanding when…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Shu-Lin Xu , Yifan Sun , Faen Zhang , Anqi Xu , Xiu-Shen Wei , Yi Yang

Hyperbolic deep learning has become a growing research direction in computer vision due to the unique properties afforded by the alternate embedding space. The negative curvature and exponentially growing distance metric provide a natural…

Computer Vision and Pattern Recognition · Computer Science 2026-02-10 Ahmad Bdeir , Johannes Burchert , Lars Schmidt-Thieme , Niels Landwehr

Machine unlearning, the efficient deletion of the impact of specific data in a trained model, remains a challenging problem. Current machine unlearning approaches that focus primarily on data-centric or weight-based strategies frequently…

Machine Learning · Computer Science 2025-08-07 Thang Duc Tran , Thai Hoang Le

Hyperbolic embeddings are a class of representation learning methods that offer competitive performances when data can be abstracted as a tree-like graph. However, in practice, learning hyperbolic embeddings of hierarchical data is…

Machine Learning · Computer Science 2024-07-24 Zhangyu Wang , Lantian Xu , Zhifeng Kong , Weilong Wang , Xuyu Peng , Enyang Zheng