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We study the Sparse Plus Low-Rank decomposition problem (SLR), which is the problem of decomposing a corrupted data matrix into a sparse matrix of perturbations plus a low-rank matrix containing the ground truth. SLR is a fundamental…

Machine Learning · Statistics 2023-11-15 Dimitris Bertsimas , Ryan Cory-Wright , Nicholas A. G. Johnson

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

Graph Representation Learning (GRL) has become essential for modern graph data mining and learning tasks. GRL aims to capture the graph's structural information and exploit it in combination with node and edge attributes to compute…

Machine Learning · Computer Science 2021-09-08 Marinos Poiitis , Pavlos Sermpezis , Athena Vakali

Traditional Graph Neural Network (GNN), as a graph representation learning method, is constrained by label information. However, Graph Contrastive Learning (GCL) methods, which tackle the label problem effectively, mainly focus on the…

Machine Learning · Computer Science 2023-08-08 Kai Yang , Yuan Liu , Zijuan Zhao , Peijin Ding , Wenqian Zhao

To improve the classification performance in the context of hyperspectral image processing, many works have been developed based on two common strategies, namely the spatial-spectral information integration and the utilization of neural…

Computer Vision and Pattern Recognition · Computer Science 2020-06-24 Yi Liang , Xin Zhao , Alan J. X. Guo , Fei Zhu

In open-set recognition (OSR), classifiers should be able to reject unknown-class samples while maintaining high closed-set classification accuracy. To effectively solve the OSR problem, previous studies attempted to limit latent feature…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Wonwoo Cho , Jaegul Choo

Because hyperspectral remote sensing images contain a lot of redundant information and the data structure is highly non-linear, leading to low classification accuracy of traditional machine learning methods. The latest research shows that…

Computer Vision and Pattern Recognition · Computer Science 2020-05-13 Xiangdong Zhang , Tengjun Wang , Yun Yang

Mining natural associations from high-dimensional spatiotemporal signals plays an important role in various fields including biology, climatology, and financial analysis. However, most existing works have mainly studied time-independent…

Social and Information Networks · Computer Science 2020-12-08 Yueliang Liu , Wenbin Guo , Kangyong You , Lei Zhao , Tao Peng , Wenbo Wang

Many state-of-the-art trackers usually resort to the pretrained convolutional neural network (CNN) model for correlation filtering, in which deep features could usually be redundant, noisy and less discriminative for some certain instances,…

Computer Vision and Pattern Recognition · Computer Science 2019-08-06 Chenglong Li , Yan Huang , Liang Wang , Jin Tang , Liang Lin

The challenging field of scene text detection requires complex data annotation, which is time-consuming and expensive. Techniques, such as weak supervision, can reduce the amount of data needed. In this paper we propose a weak supervision…

Computer Vision and Pattern Recognition · Computer Science 2022-01-14 Emanuel Metzenthin , Christian Bartz , Christoph Meinel

Many computer vision algorithms employ subspace models to represent data. The Low-rank representation (LRR) has been successfully applied in subspace clustering for which data are clustered according to their subspace structures. The…

Computer Vision and Pattern Recognition · Computer Science 2015-04-09 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

The current existing deep image super-resolution methods usually assume that a Low Resolution (LR) image is bicubicly downscaled of a High Resolution (HR) image. However, such an ideal bicubic downsampling process is different from the real…

Computer Vision and Pattern Recognition · Computer Science 2022-10-20 Rao Muhammad Umer , Christian Micheloni

The dictionary-aided sparse regression (SR) approach has recently emerged as a promising alternative to hyperspectral unmixing (HU) in remote sensing. By using an available spectral library as a dictionary, the SR approach identifies the…

Machine Learning · Statistics 2016-08-24 Xiao Fu , Wing-Kin Ma , José Bioucas-Dias , Tsung-Han Chan

The ability to grasp ordinary and potentially never-seen objects is an important feature in both domestic and industrial robotics. For a system to accomplish this, it must autonomously identify grasping locations by using information from…

Robotics · Computer Science 2016-06-03 Ludovic Trottier , Philippe Giguère , Brahim Chaib-draa

In this paper, we propose a novel data-driven regression model for aerosol optical depth (AOD) retrieval. First, we adopt a low rank representation (LRR) model to learn a powerful representation of the spectral response. Then, graph…

Machine Learning · Computer Science 2016-11-23 Yubao Sun , Renlong Hang , Qingshan Liu , Fuping Zhu , Hucheng Pei

Unsupervised anomaly detection in medical imaging aims to detect and localize arbitrary anomalies without requiring annotated anomalous data during training. Often, this is achieved by learning a data distribution of normal samples and…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Carsten T. Lüth , David Zimmerer , Gregor Koehler , Paul F. Jaeger , Fabian Isensee , Jens Petersen , Klaus H. Maier-Hein

This paper addresses the problem of super-resolution: constructing a highly resolved (HR) image from a low resolved (LR) one. Recent unsupervised approaches search the latent space of a StyleGAN pre-trained on HR images, for the image that…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Marzieh Gheisari , Auguste Genovesio

Subspace data representation has recently become a common practice in many computer vision tasks. It demands generalizing classical machine learning algorithms for subspace data. Low-Rank Representation (LRR) is one of the most successful…

Computer Vision and Pattern Recognition · Computer Science 2017-05-19 Boyue Wang , Yongli Hu , Junbin Gao , Yanfeng Sun , Baocai Yin

Hyperspectral image super-resolution (HSI-SR) has emerged as a challenging yet critical problem in remote sensing. Existing approaches primarily focus on regularization techniques that leverage low-rankness and local smoothness priors.…

Numerical Analysis · Mathematics 2026-05-13 Jun Zhang , Chao Yi , Mingxi Ma , Mengling He , Chao Wang

Natural images tend to mostly consist of smooth regions with individual pixels having highly correlated spectra. This information can be exploited to recover hyperspectral images of natural scenes from their incomplete and noisy…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Reza Arablouei , Frank de Hoog
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