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Graph-structured data are widespread in real-world applications, such as social networks, recommender systems, knowledge graphs, chemical molecules etc. Despite the success of Euclidean space for graph-related learning tasks, its ability to…

Machine Learning · Computer Science 2022-11-09 Min Zhou , Menglin Yang , Lujia Pan , Irwin King

Residual networks (ResNets) represent a powerful type of convolutional neural network (CNN) architecture, widely adopted and used in various tasks. In this work we propose an improved version of ResNets. Our proposed improvements address…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Ionut Cosmin Duta , Li Liu , Fan Zhu , Ling Shao

We propose a new class of deep reinforcement learning (RL) algorithms that model latent representations in hyperbolic space. Sequential decision-making requires reasoning about the possible future consequences of current behavior.…

Machine Learning · Computer Science 2022-10-05 Edoardo Cetin , Benjamin Chamberlain , Michael Bronstein , Jonathan J Hunt

Reconstructing both objects and hands in 3D from a single RGB image is complex. Existing methods rely on manually defined hand-object constraints in Euclidean space, leading to suboptimal feature learning. Compared with Euclidean space,…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Zhiying Leng , Shun-Cheng Wu , Mahdi Saleh , Antonio Montanaro , Hao Yu , Yin Wang , Nassir Navab , Xiaohui Liang , Federico Tombari

Many high-dimensional and large-volume data sets of practical relevance have hierarchical structures induced by trees, graphs or time series. Such data sets are hard to process in Euclidean spaces and one often seeks low-dimensional…

Machine Learning · Computer Science 2021-09-16 Eli Chien , Chao Pan , Puoya Tabaghi , Olgica Milenkovic

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

Very deep convolutional neural networks offer excellent recognition results, yet their computational expense limits their impact for many real-world applications. We introduce BlockDrop, an approach that learns to dynamically choose which…

Computer Vision and Pattern Recognition · Computer Science 2019-01-29 Zuxuan Wu , Tushar Nagarajan , Abhishek Kumar , Steven Rennie , Larry S. Davis , Kristen Grauman , Rogerio Feris

Incomplete Multi-View Clustering (IMVC) faces the challenge of learning discriminative representations from fragmentary observations while maintaining robustness against missing views. However, prevalent Euclidean-based methods suffer from…

Machine Learning · Computer Science 2026-04-21 Tianyi Chen , Haobo Wang , Kai Tang , Gengyu Lyu , Tianlei Hu , Gang Chen , Hong Ma , Meixiang Xiang

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

Hyperbolic embeddings have recently gained attention in machine learning due to their ability to represent hierarchical data more accurately and succinctly than their Euclidean analogues. However, multi-relational knowledge graphs often…

Machine Learning · Computer Science 2019-10-29 Ivana Balažević , Carl Allen , Timothy Hospedales

Deep neural network has been ensured as a key technology in the field of many challenging and vigorously researched computer vision tasks. Furthermore, classical ResNet is thought to be a state-of-the-art convolutional neural network (CNN)…

Computer Vision and Pattern Recognition · Computer Science 2024-09-02 Prathibha Varghese , G. Arockia Selva Saroja

Hyperbolic representation learning is well known for its ability to capture hierarchical information. However, the distance between samples from different levels of hierarchical classes can be required large. We reveal that the hyperbolic…

Machine Learning · Computer Science 2024-10-30 Kun Song , Ruben Solozabal , Li hao , Lu Ren , Moloud Abdar , Qing Li , Fakhri Karray , Martin Takac

PCANet and its variants provided good accuracy results for classification tasks. However, despite the importance of network depth in achieving good classification accuracy, these networks were trained with a maximum of nine layers. In this…

Computer Vision and Pattern Recognition · Computer Science 2023-01-30 Mubarakah Alotaibi , Richard Wilson

Convolutional Neural Networks (CNNs) has revolutionized computer vision, but training very deep networks has been challenging due to the vanishing gradient problem. This paper explores Residual Networks (ResNet), introduced by He et al.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-29 Xingyu Liu , Kun Ming Goh

In the field of machine learning, hyperbolic space demonstrates superior representation capabilities for hierarchical data compared to conventional Euclidean space. This work focuses on the Coarse-To-Fine Few-Shot Class-Incremental Learning…

Computer Vision and Pattern Recognition · Computer Science 2025-09-24 Jiaxin Dai , Xiang Xiang

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 neural networks (HNNs) have been proved effective in modeling complex data structures. However, previous works mainly focused on the Poincar\'e ball model and the hyperboloid model as coordinate representations of the hyperbolic…

Machine Learning · Computer Science 2024-10-23 Yidan Mao , Jing Gu , Marcus C. Werner , Dongmian Zou

In this paper, we propose a deep neural network architecture for object recognition based on recurrent neural networks. The proposed network, called ReNet, replaces the ubiquitous convolution+pooling layer of the deep convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2015-07-24 Francesco Visin , Kyle Kastner , Kyunghyun Cho , Matteo Matteucci , Aaron Courville , Yoshua Bengio

Hyperbolic geometry has emerged as an effective latent space for representing complex networks, owing to its ability to capture hierarchical organization and heterogeneous connectivity patterns using low-dimensional embeddings. As a result,…

Machine Learning · Computer Science 2026-05-01 Sofía Pérez Casulo , Marcelo Fiori , Bernardo Marenco , Federico Larroca

Learning representations according to the underlying geometry is of vital importance for non-Euclidean data. Studies have revealed that the hyperbolic space can effectively embed hierarchical or tree-like data. In particular, the few past…

Machine Learning · Computer Science 2023-06-16 Eric Qu , Dongmian Zou