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Hierarchical clustering recursively partitions data at an increasingly finer granularity. In real-world applications, multi-view data have become increasingly important. This raises a less investigated problem, i.e., multi-view hierarchical…

Machine Learning · Computer Science 2022-05-06 Fangfei Lin , Bing Bai , Kun Bai , Yazhou Ren , Peng Zhao , Zenglin Xu

Learning the manifold structure of remote sensing images is of paramount relevance for modeling and understanding processes, as well as to encapsulate the high dimensionality in a reduced set of informative features for subsequent…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Gulsen Taskin , Gustau Camps-Valls

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

Signed network embedding methods aim to learn vector representations of nodes in signed networks. However, existing algorithms only managed to embed networks into low-dimensional Euclidean spaces whereas many intrinsic features of signed…

Machine Learning · Computer Science 2021-07-16 Wenzhuo Song , Hongxu Chen , Xueyan Liu , Hongzhe Jiang , Shengsheng Wang

Given the exponential growth of the volume of the ball w.r.t. its radius, the hyperbolic space is capable of embedding trees with arbitrarily small distortion and hence has received wide attention for representing hierarchical datasets.…

Machine Learning · Computer Science 2024-12-25 Gal Mishne , Zhengchao Wan , Yusu Wang , Sheng Yang

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

Concept Bottleneck Models (CBMs) have become a popular approach to enable interpretability in neural networks by constraining classifier inputs to a set of human-understandable concepts. While effective, current models embed concepts in…

Machine Learning · Computer Science 2026-05-13 Daniel Uyterlinde , Swasti Shreya Mishra , Pascal Mettes

The idea of representations of the data in negatively curved manifolds recently attracted a lot of attention and gave a rise to the new research direction named {\it hyperbolic machine learning} (ML). In order to unveil the full potential…

Machine Learning · Computer Science 2025-02-03 Vladimir Jaćimović , Aladin Crnkić

Interpreting hierarchical structures latent in language is a key limitation of current language models (LMs). While previous research has implicitly leveraged these hierarchies to enhance LMs, approaches for their explicit encoding are yet…

Computation and Language · Computer Science 2024-11-22 Yuan He , Zhangdie Yuan , Jiaoyan Chen , Ian Horrocks

Hierarchical and tree-like data sets arise in many applications, including language processing, graph data mining, phylogeny and genomics. It is known that tree-like data cannot be embedded into Euclidean spaces of finite dimension with…

Machine Learning · Computer Science 2024-01-18 Saurav Prakash , Jin Sima , Chao Pan , Eli Chien , Olgica Milenkovic

Hyperbolic representation learning has been widely used to extract implicit hierarchies within data, and recently it has found its way to the open-world classification task of Generalized Category Discovery (GCD). However, prior hyperbolic…

Machine Learning · Computer Science 2026-02-06 Mohamad Dalal , Thomas B. Moeslund , Joakim Bruslund Haurum

Self-supervised learning (SSL) has emerged as a powerful technique for learning visual representations. While recent SSL approaches achieve strong results in global image understanding, they are limited in capturing the structured…

Computer Vision and Pattern Recognition · Computer Science 2025-08-28 Oussama Hadjerci , Antoine Letienne , Mohamed Abbas Hedjazi , Adel Hafiane

A successful paradigm in representation learning is to perform self-supervised pretraining using tasks based on mini-batch statistics (e.g., SimCLR, VICReg, SwAV, MSN). We show that in the formulation of all these methods is an overlooked…

We propose Masked Siamese Networks (MSN), a self-supervised learning framework for learning image representations. Our approach matches the representation of an image view containing randomly masked patches to the representation of the…

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

Image analysis in the euclidean space through linear hyperspaces is well studied. However, in the quest for more effective image representations, we turn to hyperbolic manifolds. They provide a compelling alternative to capture complex…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Debjyoti Mondal , Rahul Mishra , Chandan Pandey

Recently hyperbolic geometry has proven to be effective in building embeddings that encode hierarchical and entailment information. This makes it particularly suited to modelling the complex asymmetrical relationships between Chinese…

Computation and Language · Computer Science 2018-12-27 Marko Valentin Micic , Hugo Chu

Single Positive Multi-Label Learning (SPMLL) addresses the challenging scenario where each training sample is annotated with only one positive label despite potentially belonging to multiple categories, making it difficult to capture…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Yiming Lin , Shang Wang , Junkai Zhou , Qiufeng Wang , Xiao-Bo Jin , Kaizhu Huang

Hyperbolic space can naturally embed hierarchies, unlike Euclidean space. Hyperbolic Neural Networks (HNNs) exploit such representational power by lifting Euclidean features into hyperbolic space for classification, outperforming Euclidean…

Machine Learning · Computer Science 2022-05-17 Yunhui Guo , Xudong Wang , Yubei Chen , Stella X. Yu

Semantic segmentation models are typically trained on a fixed set of classes, limiting their applicability in open-world scenarios. Class-incremental semantic segmentation aims to update models with emerging new classes while preventing…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Julia Hindel , Daniele Cattaneo , Abhinav Valada