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Being symmetric positive-definite (SPD), covariance matrix has traditionally been used to represent a set of local descriptors in visual recognition. Recent study shows that kernel matrix can give considerably better representation by…

Computer Vision and Pattern Recognition · Computer Science 2017-11-15 Melih Engin , Lei Wang , Luping Zhou , Xinwang Liu

Estimating matrices in the symmetric positive-definite (SPD) cone is of interest for many applications ranging from computer vision to graph learning. While there exist various convex optimization-based estimators, they remain limited in…

Machine Learning · Computer Science 2025-03-24 Can Pouliquen , Mathurin Massias , Titouan Vayer

Deep learning has shown promising results in many machine learning applications. The hierarchical feature representation built by deep networks enable compact and precise encoding of the data. A kernel analysis of the trained deep networks…

Machine Learning · Computer Science 2017-03-22 Mandar Kulkarni , Shirish Karande

Deep convolutional neural networks (CNNs) have achieved breakthrough performance in many pattern recognition tasks such as image classification. However, the development of high-quality deep models typically relies on a substantial amount…

Computer Vision and Pattern Recognition · Computer Science 2016-05-05 Mengchen Liu , Jiaxin Shi , Zhen Li , Chongxuan Li , Jun Zhu , Shixia Liu

Depth prediction is one of the fundamental problems in computer vision. In this paper, we propose a simple yet effective convolutional spatial propagation network (CSPN) to learn the affinity matrix for various depth estimation tasks.…

Computer Vision and Pattern Recognition · Computer Science 2019-10-07 Xinjing Cheng , Peng Wang , Ruigang Yang

Features play a crucial role in computer vision. Initially designed to detect salient elements by means of handcrafted algorithms, features are now often learned by different layers in Convolutional Neural Networks (CNNs). This paper…

Computer Vision and Pattern Recognition · Computer Science 2021-11-18 Loris Nanni , Stefano Ghidoni , Sheryl Brahnam

Feature representations, both hand-designed and learned ones, are often hard to analyze and interpret, even when they are extracted from visual data. We propose a new approach to study image representations by inverting them with an…

Neural and Evolutionary Computing · Computer Science 2016-04-28 Alexey Dosovitskiy , Thomas Brox

Convolutional Neural Networks (CNNs) have revolutionized image classification by extracting spatial features and enabling state-of-the-art accuracy in vision-based tasks. The squeeze and excitation network proposed module gathers…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Mahendran Narayanan

The recent advances brought by deep learning allowed to improve the performance in image retrieval tasks. Through the many convolutional layers, available in a Convolutional Neural Network (CNN), it is possible to obtain a hierarchy of…

Computer Vision and Pattern Recognition · Computer Science 2018-08-16 Federico Magliani , Tomaso Fontanini , Andrea Prati

In this paper, covariance matrices are exploited to encode the deep convolutional neural networks (DCNN) features for facial expression recognition. The space geometry of the covariance matrices is that of Symmetric Positive Definite (SPD)…

Computer Vision and Pattern Recognition · Computer Science 2018-05-11 Naima Otberdout , Anis Kacem , Mohamed Daoudi , Lahoucine Ballihi , Stefano Berretti

Symmetric positive definite (SPD) matrices (e.g., covariances, graph Laplacians, etc.) are widely used to model the relationship of spatial or temporal domain. Nevertheless, SPD matrices are theoretically embedded on Riemannian manifolds.…

Computer Vision and Pattern Recognition · Computer Science 2017-10-03 Tong Zhang , Wenming Zheng , Zhen Cui , Chaolong Li

Convolutional Neural Networks (CNNs) have recently led to incredible breakthroughs on a variety of pattern recognition problems. Banks of finite impulse response filters are learned on a hierarchy of layers, each contributing more abstract…

Computer Vision and Pattern Recognition · Computer Science 2017-07-18 Felipe Petroski Such , Shagan Sah , Miguel Dominguez , Suhas Pillai , Chao Zhang , Andrew Michael , Nathan Cahill , Raymond Ptucha

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

Implementations of symmetric positive definite (SPD) matrix-based neural networks for neural decoding remain fragmented across research codebases and Python packages. Existing implementations often employ ad hoc handling of manifold…

Neurons and Cognition · Quantitative Biology 2026-02-27 Bruno Aristimunha , Ce Ju , Antoine Collas , Florent Bouchard , Ammar Mian , Bertrand Thirion , Sylvain Chevallier , Reinmar Kobler

Deep convolutional neural network (CNN) based models are vulnerable to the adversarial attacks. One of the possible reasons is that the embedding space of CNN based model is sparse, resulting in a large space for the generation of…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Haozhe Liu , Haoqin Ji , Yuexiang Li , Nanjun He , Haoqian Wu , Feng Liu , Linlin Shen , Yefeng Zheng

Capturing the compositional process which maps the meaning of words to that of documents is a central challenge for researchers in Natural Language Processing and Information Retrieval. We introduce a model that is able to represent the…

Computation and Language · Computer Science 2014-06-17 Misha Denil , Alban Demiraj , Nal Kalchbrenner , Phil Blunsom , Nando de Freitas

We describe the class of convexified convolutional neural networks (CCNNs), which capture the parameter sharing of convolutional neural networks in a convex manner. By representing the nonlinear convolutional filters as vectors in a…

Machine Learning · Computer Science 2016-09-06 Yuchen Zhang , Percy Liang , Martin J. Wainwright

We propose a novel approach for visual representation learning called Signature-Graph Neural Networks (SGN). SGN learns latent global structures that augment the feature representation of Convolutional Neural Networks (CNN). SGN constructs…

Computer Vision and Pattern Recognition · Computer Science 2021-10-25 Ali Hamdi , Flora Salim , Du Yong Kim , Xiaojun Chang

Graph convolutional network (GCN) is an emerging neural network approach. It learns new representation of a node by aggregating feature vectors of all neighbors in the aggregation process without considering whether the neighbors or…

Machine Learning · Computer Science 2022-04-01 Li Zhang , Heda Song , Nikolaos Aletras , Haiping Lu

Deep networks have been successfully applied to visual tracking by learning a generic representation offline from numerous training images. However the offline training is time-consuming and the learned generic representation may be less…

Computer Vision and Pattern Recognition · Computer Science 2015-08-25 Kaihua Zhang , Qingshan Liu , Yi Wu , Ming-Hsuan Yang
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