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Tensor completion estimates missing components by exploiting the low-rank structure of multi-way data. The recently proposed methods based on tensor train (TT) and tensor ring (TR) show better performance in image recovery than classical…

Machine Learning · Computer Science 2020-04-24 Huyan Huang , Yipeng Liu , Ce Zhu

Tag-based image retrieval (TBIR) has drawn much attention in recent years due to the explosive amount of digital images and crowdsourcing tags. However, the TBIR applications still suffer from the deficient and inaccurate tags provided by…

Computer Vision and Pattern Recognition · Computer Science 2016-08-09 Yuqing Hou , Zhouchen Lin

Recent theory of mapping an image into a structured low-rank Toeplitz or Hankel matrix has become an effective method to restore images. In this paper, we introduce a generalized structured low-rank algorithm to recover images from their…

Image and Video Processing · Electrical Eng. & Systems 2018-11-28 Yue Hu , Xiaohan Liu , Mathews Jacob

Annotating images with tags is useful for indexing and retrieving images. However, many available annotation data include missing or inaccurate annotations. In this paper, we propose an image annotation framework which sequentially performs…

Computer Vision and Pattern Recognition · Computer Science 2016-06-22 Yuqing Hou , Zhouchen Lin , Jin-ge Yao

We introduce a structured low rank matrix completion algorithm to recover a series of images from their under-sampled measurements, where the signal along the parameter dimension at every pixel is described by a linear combination of…

Computer Vision and Pattern Recognition · Computer Science 2017-07-13 Arvind Balachandrasekaran , Vincent Magnotta , Mathews Jacob

Recent approaches to the tensor completion problem have often overlooked the nonnegative structure of the data. We consider the problem of learning a nonnegative low-rank tensor, and using duality theory, we propose a novel factorization of…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Tanmay Kumar Sinha , Jayadev Naram , Pawan Kumar

Recovering low-rank and sparse matrices from incomplete or corrupted observations is an important problem in machine learning, statistics, bioinformatics, computer vision, as well as signal and image processing. In theory, this problem can…

Machine Learning · Computer Science 2014-09-04 Fanhua Shang , Yuanyuan Liu , Hanghang Tong , James Cheng , Hong Cheng

Low rank tensor ring model is powerful for image completion which recovers missing entries in data acquisition and transformation. The recently proposed tensor ring (TR) based completion algorithms generally solve the low rank optimization…

Machine Learning · Statistics 2021-04-07 Zhen Long , Ce Zhu , Jiani Liu , Yipeng Liu

Tensor completion refers to the task of estimating the missing data from an incomplete measurement or observation, which is a core problem frequently arising from the areas of big data analysis, computer vision, and network engineering. Due…

Machine Learning · Computer Science 2021-05-21 Chenjian Pan , Chen Ling , Hongjin He , Liqun Qi , Yanwei Xu

In this paper, we describe a low-rank matrix completion method based on matrix decomposition. An incomplete matrix is decomposed into submatrices which are filled with a proposed trimming step and then are recombined to form a low-rank…

Numerical Analysis · Mathematics 2010-06-29 Rick Ma , Samuel Cheng

In this survey, we provide a detailed review of recent advances in the recovery of continuous domain multidimensional signals from their few non-uniform (multichannel) measurements using structured low-rank matrix completion formulation.…

Computer Vision and Pattern Recognition · Computer Science 2020-02-19 Mathews Jacob , Merry P. Mani , Jong Chul Ye

Recovering color images and videos from highly undersampled data is a fundamental and challenging task in face recognition and computer vision. By the multi-dimensional nature of color images and videos, in this paper, we propose a novel…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Chenjian Pan , Chen Ling , Hongjin He , Liqun Qi , Yanwei Xu

The recent low-rank prior based models solve the tensor completion problem efficiently. However, these models fail to exploit the local patterns of tensors, which compromises the performance of tensor completion. In this paper, we propose a…

Numerical Analysis · Mathematics 2021-04-13 Liyu Su

The problem of tag completion is to learn the missing tags of an image. In this paper, we propose to learn a tag scoring vector for each image by local linear learning. A local linear function is used in the neighborhood of each image to…

Computer Vision and Pattern Recognition · Computer Science 2015-08-19 Jingyan Wang , Yihua Zhou , Haoxiang Wang , Xiaohong Yang , Feng Yang , Austin Peterson

Similarity matrix serves as a fundamental tool at the core of numerous downstream machine-learning tasks. However, missing data is inevitable and often results in an inaccurate similarity matrix. To address this issue, Similarity Matrix…

Machine Learning · Computer Science 2024-10-01 Changyi Ma , Runsheng Yu , Xiao Chen , Youzhi Zhang

Image reconstruction based on an edge-sparsity assumption has become popular in recent years. Many methods of this type are capable of reconstructing nearly perfect edge-sparse images using limited data. In this paper, we present a method…

Image and Video Processing · Electrical Eng. & Systems 2019-02-04 Victor Churchill , Anne Gelb

This paper proposes a novel approach to tensor completion, which recovers missing entries of data represented by tensors. The approach is based on the tensor train (TT) rank, which is able to capture hidden information from tensors thanks…

Numerical Analysis · Computer Science 2017-04-26 Johann A. Bengua , Ho N. Phien , Hoang D. Tuan , Minh N. Do

In the problems of image retrieval and annotation, complete textual tag lists of images play critical roles. However, in real-world applications, the image tags are usually incomplete, thus it is important to learn the complete tags for…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Yanyan Geng , Guohui Zhang , Weizhi Li , Yi Gu , Ru-Ze Liang , Gaoyuan Liang , Jingbin Wang , Yanbin Wu , Nitin Patil , Jing-Yan Wang

In this paper, we study the problem of image recovery from given partial (corrupted) observations. Recovering an image using a low-rank model has been an active research area in data analysis and machine learning. But often, images are not…

Computer Vision and Pattern Recognition · Computer Science 2020-03-13 Pawan Goyal , Hussam Al Daas , Peter Benner

Recently, there is a revival of interest in low-rank matrix completion-based unsupervised learning through the lens of dual-graph regularization, which has significantly improved the performance of multidisciplinary machine learning tasks…

Machine Learning · Computer Science 2022-09-07 Yangge Chen , Lei Cheng , Yik-Chung Wu
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