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In modern computer vision tasks, convolutional neural networks (CNNs) are indispensable for image classification tasks due to their efficiency and effectiveness. Part of their superiority compared to other architectures, comes from the fact…

Machine Learning · Computer Science 2019-06-11 Vighnesh Birodkar , Hossein Mobahi , Dilip Krishnan , Samy Bengio

Data encoded as symmetric positive definite (SPD) matrices frequently arise in many areas of computer vision and machine learning. While these matrices form an open subset of the Euclidean space of symmetric matrices, viewing them through…

Computer Vision and Pattern Recognition · Computer Science 2015-12-18 Anoop Cherian , Suvrit Sra

Riemannian metric learning is an emerging field in machine learning, unlocking new ways to encode complex data structures beyond traditional distance metric learning. While classical approaches rely on global distances in Euclidean space,…

Machine Learning · Statistics 2025-10-01 Samuel Gruffaz , Josua Sassen

Deep neural networks for learning Symmetric Positive Definite (SPD) matrices are gaining increasing attention in machine learning. Despite the significant progress, most existing SPD networks use traditional Euclidean classifiers on an…

Machine Learning · Computer Science 2024-03-21 Ziheng Chen , Yue Song , Gaowen Liu , Ramana Rao Kompella , Xiaojun Wu , Nicu Sebe

A deep neural networks based method is proposed to convert single polarization grayscale SAR image to fully polarimetric. It consists of two components: a feature extractor network to extract hierarchical multi-scale spatial features of…

Computer Vision and Pattern Recognition · Computer Science 2017-07-25 Qian Song , Feng Xu , Ya-Qiu Jin

The task of reflection symmetry detection remains challenging due to significant variations and ambiguities of symmetry patterns in the wild. Furthermore, since the local regions are required to match in reflection for detecting a symmetry…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Ahyun Seo , Woohyeon Shim , Minsu Cho

Polarimetric Synthetic Aperture Radar (PolSAR) images are an important source of information. Speckle noise gives SAR images a granular appearance that makes interpretation and analysis hard tasks. A major issue is the assessment of…

Applications · Statistics 2019-05-01 M. G. Palacio , S. B. Ferrero , A. C. Frery

Recent studies show that deep learning (DL) based MRI reconstruction outperforms conventional methods, such as parallel imaging and compressed sensing (CS), in multiple applications. Unlike CS that is typically implemented with…

Image and Video Processing · Electrical Eng. & Systems 2022-08-22 Hongyi Gu , Burhaneddin Yaman , Steen Moeller , Il Yong Chun , Mehmet Akçakaya

The annotation of polarimetric synthetic aperture radar (PolSAR) images is a labor-intensive and time-consuming process. Therefore, classifying PolSAR images with limited labels is a challenging task in remote sensing domain. In recent…

Computer Vision and Pattern Recognition · Computer Science 2024-08-09 Yuchen Wang , Ziyi Guo , Haixia Bi , Danfeng Hong , Chen Xu

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

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

Convolutional neural networks (CNN) have been successfully employed to tackle several remote sensing tasks such as image classification and show better performance than previous techniques. For the radar imaging community, a natural…

Signal Processing · Electrical Eng. & Systems 2018-07-03 Jingkun Gao , Bin Deng , Yuliang Qin , Hongqiang Wang , Xiang Li

Image set-based visual classification methods have achieved remarkable performance, via characterising the image set in terms of a non-singular covariance matrix on a symmetric positive definite (SPD) manifold. To adapt to complicated…

Computer Vision and Pattern Recognition · Computer Science 2022-06-17 Rui Wang , Xiao-Jun Wu , Ziheng Chen , Tianyang Xu , Josef Kittler

The translation of imaging Mueller polarimetry to clinical practice is often hindered by large footprint and relatively slow acquisition speed of the existing instruments. Using polarization-sensitive camera as a detector may reduce…

Many real-world signal sources are complex-valued, having real and imaginary components. However, the vast majority of existing deep learning platforms and network architectures do not support the use of complex-valued data. MRI data is…

Image and Video Processing · Electrical Eng. & Systems 2020-09-02 Elizabeth K. Cole , Joseph Y. Cheng , John M. Pauly , Shreyas S. Vasanawala

In recent years, Deep Learning (DL) based methods have received extensive and sufficient attention in the field of PolSAR image classification, which show excellent performance. However, due to the ``black-box" nature of DL methods, the…

Image and Video Processing · Electrical Eng. & Systems 2025-07-08 Jinqi Zhang , Fangzhou Han , Di Zhuang , Lamei Zhang , Bin Zou , Li Yuan

Deep learning-based hyperspectral image super-resolution (SR) methods have achieved great success recently. However, most existing models can not effectively explore spatial information and spectral information between bands simultaneously,…

Computer Vision and Pattern Recognition · Computer Science 2020-01-15 Qi Wang , Qiang Li , Xuelong Li

Polarimetric Synthetic Aperture Radar (PolSAR) covariance matrices and their extracted multi-features - such as scattering angle, entropy, texture, and boundary descriptors - provide complementary and physically interpretable information…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Junfei Shi , Haojia Zhang , Haiyan Jin , Junhuai Li , Xiaogang Song , Yuanfan Guo , Haonan Su , Weisi Lin

Non-Euclidean constraints are inherent in many kinds of data in computer vision and machine learning, typically as a result of specific invariance requirements that need to be respected during high-level inference. Often, these geometric…

Computer Vision and Pattern Recognition · Computer Science 2017-09-26 Suhas Lohit , Pavan Turaga

Modern deep neural networks require a tremendous amount of data to train, often needing hundreds or thousands of labeled examples to learn an effective representation. For these networks to work with less data, more structure must be built…

Computer Vision and Pattern Recognition · Computer Science 2019-03-06 Reuben Feinman , Brenden M. Lake