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An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Continuous convolution has recently gained prominence due to its ability to handle irregularly sampled data and model long-term dependency. Also, the promising experimental results of using large convolutional kernels have catalyzed the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-06 Sanghyeon Kim , Eunbyung Park

We present Frame-Averaging Kernel-Point Convolution (FA-KPConv), a neural network architecture built on top of the well-known KPConv, a widely adopted backbone for 3D point cloud analysis. Even though invariance and/or equivariance to…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Ali Alawieh , Alexandru P. Condurache

Given an image set without any labels, our goal is to train a model that maps each image to a point in a feature space such that, not only proximity indicates visual similarity, but where it is located directly encodes how prototypical the…

Computer Vision and Pattern Recognition · Computer Science 2023-07-06 Yunhui Guo , Youren Zhang , Yubei Chen , Stella X. Yu

Geometric variations like rotation, scaling, and viewpoint changes pose a significant challenge to visual understanding. One common solution is to directly model certain intrinsic structures, e.g., using landmarks. However, it then becomes…

Machine Learning · Statistics 2020-10-13 Xiuyuan Cheng , Zichen Miao , Qiang Qiu

Recent knowledge graph embedding (KGE) models based on hyperbolic geometry have shown great potential in a low-dimensional embedding space. However, the necessity of hyperbolic space in KGE is still questionable, because the calculation…

Artificial Intelligence · Computer Science 2021-10-26 Kai Wang , Yu Liu , Dan Lin , Quan Z. Sheng

Models with dominant advection always posed a difficult challenge for projection-based reduced order modelling. Many methodologies that have recently been proposed are based on the pre-processing of the full-order solutions to accelerate…

Numerical Analysis · Mathematics 2022-03-02 Davide Papapicco , Nicola Demo , Michele Girfoglio , Giovanni Stabile , Gianluigi Rozza

Representation learning has become an invaluable approach for learning from symbolic data such as text and graphs. However, while complex symbolic datasets often exhibit a latent hierarchical structure, state-of-the-art methods typically…

Artificial Intelligence · Computer Science 2017-05-29 Maximilian Nickel , Douwe Kiela

This study addresses the problem of convolutional kernel learning in univariate, multivariate, and multidimensional time series data, which is crucial for interpreting temporal patterns in time series and supporting downstream machine…

Machine Learning · Computer Science 2025-04-17 Xinyu Chen , HanQin Cai , Fuqiang Liu , Jinhua Zhao

Learning hyperbolic embeddings for knowledge graph (KG) has gained increasing attention due to its superiority in capturing hierarchies. However, some important operations in hyperbolic space still lack good definitions, making existing…

Machine Learning · Computer Science 2023-02-09 Wentao Shi , Junkang Wu , Xuezhi Cao , Jiawei Chen , Wenqiang Lei , Wei Wu , Xiangnan He

Hyperspectral imaging provides detailed information about the scanned objects, as it captures their spectral characteristics within a large number of wavelength bands. Classification of such data has become an active research topic due to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Jakub Nalepa , Lukasz Tulczyjew , Michal Myller , Michal Kawulok

The progress in hyperbolic neural networks (HNNs) research is hindered by their absence of inductive bias mechanisms, which are essential for generalizing to new tasks and facilitating scalable learning over large datasets. In this paper,…

Machine Learning · Computer Science 2023-10-31 Nurendra Choudhary , Nikhil Rao , Chandan K. Reddy

Trajectory similarity is a cornerstone of trajectory data management and analysis. Traditional similarity functions often suffer from high computational complexity and a reliance on specific distance metrics, prompting a shift towards deep…

Databases · Computer Science 2025-04-16 Jianing Si , Haitao Yuan , Nan Jiang , Minxiao Chen , Xiao Ma , Shangguang Wang

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

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

Complex network topologies and hyperbolic geometry seem specularly connected, and one of the most fascinating and challenging problems of recent complex network theory is to map a given network to its hyperbolic space. The Popularity…

Disordered Systems and Neural Networks · Physics 2017-12-08 Josephine Maria Thomas , Alessandro Muscoloni , Sara Ciucci , Ginestra Bianconi , Carlo Vittorio Cannistraci

Although self-/un-supervised methods have led to rapid progress in visual representation learning, these methods generally treat objects and scenes using the same lens. In this paper, we focus on learning representations for objects and…

Computer Vision and Pattern Recognition · Computer Science 2022-12-02 Songwei Ge , Shlok Mishra , Simon Kornblith , Chun-Liang Li , David Jacobs

Large language models (LLMs) have achieved remarkable success and demonstrated superior performance across various tasks, including natural language processing (NLP), weather forecasting, biological protein folding, text generation, and…

Artificial Intelligence · Computer Science 2025-12-09 Sarang Patil , Zeyong Zhang , Yiran Huang , Tengfei Ma , Mengjia Xu

In this paper, we introduce a new image representation based on a multilayer kernel machine. Unlike traditional kernel methods where data representation is decoupled from the prediction task, we learn how to shape the kernel with…

Machine Learning · Statistics 2016-10-26 Julien Mairal

In this paper, we propose to exploit the rich hierarchical features of deep convolutional neural networks to improve the accuracy and robustness of visual tracking. Deep neural networks trained on object recognition datasets consist of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-14 Chao Ma , Jia-Bin Huang , Xiaokang Yang , Ming-Hsuan Yang