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Tensor-based methods have recently emerged as a more natural and effective formulation to address many problems in hyperspectral imaging. In hyperspectral unmixing (HU), low-rank constraints on the abundance maps have been shown to act as a…

Computer Vision and Pattern Recognition · Computer Science 2018-11-14 Tales Imbiriba , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

Hyperspectral image (HSI) classification, which aims to assign an accurate label for hyperspectral pixels, has drawn great interest in recent years. Although low rank representation (LRR) has been used to classify HSI, its ability to…

Computer Vision and Pattern Recognition · Computer Science 2019-05-08 Qi Wang , Xiange He , Xuelong Li

Subspace clustering refers to the problem of segmenting a set of data points approximately drawn from a union of multiple linear subspaces. Aiming at the subspace clustering problem, various subspace clustering algorithms have been proposed…

Computer Vision and Pattern Recognition · Computer Science 2016-10-17 Yu Song , Yiquan Wu

Deep learning based fusion methods have been achieving promising performance in image fusion tasks. This is attributed to the network architecture that plays a very important role in the fusion process. However, in general, it is hard to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Hui Li , Tianyang Xu , Xiao-Jun Wu , Jiwen Lu , Josef Kittler

We analyze and improve low rank representation (LRR), the state-of-the-art algorithm for subspace segmentation of data. We prove that for the noiseless case, the optimization model of LRR has a unique solution, which is the shape…

Computer Vision and Pattern Recognition · Computer Science 2015-03-19 Wei Siming , Lin Zhouchen

A new algorithm for 3D localization in multiplatform radar networks, comprising one transmitter and multiple receivers, is proposed. To take advantage of the monostatic sensor radiation pattern features, ad-hoc constraints are imposed in…

Signal Processing · Electrical Eng. & Systems 2022-04-06 Augusto Aubry , Paolo Braca , Antonio De Maio , Angela Marino

Low-rank decomposition (LRD) is a state-of-the-art method for visual data reconstruction and modelling. However, it is a very challenging problem when the image data contains significant occlusion, noise, illumination variation, and…

Computer Vision and Pattern Recognition · Computer Science 2017-08-08 Chen Chen , Baochang Zhang , Alessio Del Bue , Vittorio Murino

Motivated by multi-task and meta-learning approaches, we consider the problem of learning structure shared by tasks or users, such as shared low-rank representations or clustered structures. While all previous works focus on well-specified…

Machine Learning · Computer Science 2025-02-14 Mathieu Even , Laurent Massoulié

Low-rank modeling plays a pivotal role in signal processing and machine learning, with applications ranging from collaborative filtering, video surveillance, medical imaging, to dimensionality reduction and adaptive filtering. Many modern…

Machine Learning · Statistics 2018-05-04 Yudong Chen , Yuejie Chi

Recently there is a line of research work proposing to employ Spectral Clustering (SC) to segment (group){Throughout the paper, we use segmentation, clustering, and grouping, and their verb forms, interchangeably.} high-dimensional…

Computer Vision and Pattern Recognition · Computer Science 2010-10-11 Yuzhao Ni , Ju Sun , Xiaotong Yuan , Shuicheng Yan , Loong-Fah Cheong

Spatial Pyramid Matching (SPM) and its variants have achieved a lot of success in image classification. The main difference among them is their encoding schemes. For example, ScSPM incorporates Sparse Code (SC) instead of Vector…

Computer Vision and Pattern Recognition · Computer Science 2016-03-22 Xi Peng , Rui Yan , Bo Zhao , Huajin Tang , Zhang Yi

Despite many modern applications of Deep Neural Networks (DNNs), the large number of parameters in the hidden layers makes them unattractive for deployment on devices with storage capacity constraints. In this paper we propose a Data-Driven…

Machine Learning · Computer Science 2021-07-14 Dimitris Papadimitriou , Swayambhoo Jain

We consider the problem of learning a low-rank matrix, constrained to lie in a linear subspace, and introduce a novel factorization for modeling such matrices. A salient feature of the proposed factorization scheme is it decouples the…

Machine Learning · Statistics 2018-06-18 Pratik Jawanpuria , Bamdev Mishra

A non-parametric low-resolution face recognition model for resource-constrained environments with limited networking and computing is proposed in this work. Such environments often demand a small model capable of being effectively trained…

Computer Vision and Pattern Recognition · Computer Science 2020-11-25 Mozhdeh Rouhsedaghat , Yifan Wang , Shuowen Hu , Suya You , C. -C. Jay Kuo

Compression has emerged as one of the essential deep learning research topics, especially for the edge devices that have limited computation power and storage capacity. Among the main compression techniques, low-rank compression via matrix…

Machine Learning · Computer Science 2021-12-02 Moonjung Eo , Suhyun Kang , Wonjong Rhee

We establish a family of subspace-based learning method for multi-view learning using the least squares as the fundamental basis. Specifically, we investigate orthonormalized partial least squares (OPLS) and study its important properties…

Machine Learning · Computer Science 2020-07-13 Li Wang , Ren-Cang Li , Wen-Wei

The problem of low-rank approximation with convex constraints, which appears in data analysis, system identification, model order reduction, low-order controller design and low-complexity modelling is considered. Given a matrix, the…

Optimization and Control · Mathematics 2018-11-12 Christian Grussler , Anders Rantzer , Pontus Giselsson

Low-rank approximation is an effective model compression technique to not only reduce parameter storage requirements, but to also reduce computations. For convolutional neural networks (CNNs), however, well-known low-rank approximation…

Machine Learning · Computer Science 2019-05-27 Dongsoo Lee , Se Jung Kwon , Byeongwook Kim , Gu-Yeon Wei

Nonconvex regularization has been popularly used in low-rank matrix learning. However, extending it for low-rank tensor learning is still computationally expensive. To address this problem, we develop an efficient solver for use with a…

Machine Learning · Computer Science 2022-05-09 Quanming Yao , Yaqing Wang , Bo Han , James Kwok