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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

Recently, a tensor factorization based method for a low tubal rank tensor completion problem of a third order tensor was proposed, which performed better than some existing methods. Tubal rank is only defined on one mode of third order…

Optimization and Control · Mathematics 2024-08-20 Quan Yu , Xinzhen Zhang , Zheng-Hai Huang

Vision problems ranging from image clustering to motion segmentation to semi-supervised learning can naturally be framed as subspace segmentation problems, in which one aims to recover multiple low-dimensional subspaces from noisy and…

Computer Vision and Pattern Recognition · Computer Science 2013-10-17 Ameet Talwalkar , Lester Mackey , Yadong Mu , Shih-Fu Chang , Michael I. Jordan

The increasing volume of medical images poses challenges for radiologists in retrieving relevant cases. Content-based image retrieval (CBIR) systems offer potential for efficient access to similar cases, yet lack standardized evaluation and…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Farnaz Khun Jush , Steffen Vogler , Matthias Lenga

There is a growing trend in studying deep hashing methods for content-based image retrieval (CBIR), where hash functions and binary codes are learnt using deep convolutional neural networks and then the binary codes can be used to do…

Computer Vision and Pattern Recognition · Computer Science 2017-11-17 Deng Cai , Xiuye Gu , Chaoqi Wang

Modern inference and learning often hinge on identifying low-dimensional structures that approximate large scale data. Subspace clustering achieves this through a union of linear subspaces. However, in contemporary applications data is…

Machine Learning · Computer Science 2018-08-03 Daniel L. Pimentel-Alarcón , Usman Mahmood

Subspace segmentation assumes that data comes from the union of different subspaces and the purpose of segmentation is to partition the data into the corresponding subspace. Low-rank representation (LRR) is a classic spectral-type method…

Machine Learning · Computer Science 2020-07-15 Xishun Wang , Zhouwang Yang , Xingye Yue , Hui Wang

Images have become an important data source in many scientific and commercial domains. Analysis and exploration of image collections often requires the retrieval of the best subregions matching a given query. The support of such…

Databases · Computer Science 2010-03-09 Vishwakarma Singh , Arnab Bhattacharya , Ambuj K. Singh

We study the low-rank phase retrieval problem, where the objective is to recover a sequence of signals (typically images) given the magnitude of linear measurements of those signals. Existing solutions involve recovering a matrix…

Image and Video Processing · Electrical Eng. & Systems 2022-02-18 Soo Min Kwon , Xin Li , Anand D. Sarwate

Composed Image Retrieval (CIR) retrieves target images using a multi-modal query that combines a reference image with text describing desired modifications. The primary challenge is effectively fusing this visual and textual information.…

Computer Vision and Pattern Recognition · Computer Science 2025-04-16 Chaoyang Wang , Zeyu Zhang , Long Teng , Zijun Li , Shichao Kan

We consider the problem of matrix completion with side information (\textit{inductive matrix completion}). In real-world applications many side-channel features are typically non-informative making feature selection an important part of the…

Machine Learning · Statistics 2018-10-09 Ivan Nazarov , Boris Shirokikh , Maria Burkina , Gennady Fedonin , Maxim Panov

We consider a generalization of low-rank matrix completion to the case where the data belongs to an algebraic variety, i.e. each data point is a solution to a system of polynomial equations. In this case the original matrix is possibly…

Machine Learning · Statistics 2017-03-29 Greg Ongie , Rebecca Willett , Robert D. Nowak , Laura Balzano

Deep Learning in Image Registration (DLIR) methods have been tremendously successful in image registration due to their speed and ability to incorporate weak label supervision at training time. However, existing DLIR methods forego many of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Rohit Jena , Pratik Chaudhari , James C. Gee

The low-rank matrix completion (LRMC) technology has achieved remarkable results in low-level visual tasks. There is an underlying assumption that the real-world matrix data is low-rank in LRMC. However, the real matrix data does not…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Wenjing Lu , Zhuang Fang , Liang Wu , Liming Tang , Hanxin Liu , Chuanjiang He

Noisy matrix completion has attracted significant attention due to its applications in recommendation systems, signal processing and image restoration. Most existing works rely on (weighted) least squares methods under various low-rank…

Machine Learning · Statistics 2024-12-17 Ziyuan Chen , Fang Yao

Tensor completion can estimate missing values of a high-order data from its partially observed entries. Recent works show that low rank tensor ring approximation is one of the most powerful tools to solve tensor completion problem. However,…

Numerical Analysis · Mathematics 2021-01-03 Abdul Ahad , Zhen Long , Ce Zhu , Yipeng Liu

Text-to-image retrieval (TIR) aims to find relevant images based on a textual query, but existing approaches are primarily based on whole-image captions and lack interpretability. Meanwhile, referring expression segmentation (RES) enables…

Computer Vision and Pattern Recognition · Computer Science 2025-07-01 Li-Cheng Shen , Jih-Kang Hsieh , Wei-Hua Li , Chu-Song Chen

Composed Image Retrieval (CIR) is a complex task that retrieves images using a query, which is configured with an image and a caption that describes desired modifications to that image. Supervised CIR approaches have shown strong…

Computer Vision and Pattern Recognition · Computer Science 2024-05-02 Young Kyun Jang , Dat Huynh , Ashish Shah , Wen-Kai Chen , Ser-Nam Lim

Recently, the low-rank property of different components extracted from the image has been considered in man hyperspectral image denoising methods. However, these methods usually unfold the 3D tensor to 2D matrix or 1D vector to exploit the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Hang Zhou , Yanchi Su , Zhanshan Li

Composed Image Retrieval (CIR) aims to retrieve images based on a query image with text. Current Zero-Shot CIR (ZS-CIR) methods try to solve CIR tasks without using expensive triplet-labeled training datasets. However, the gap between…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Yingying Jiang , Hanchao Jia , Xiaobing Wang , Peng Hao
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