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In tensor completion, the latent nuclear norm is commonly used to induce low-rank structure, while substantially failing to capture the global information due to the utilization of unbalanced unfolding scheme. To overcome this drawback, a…

Computer Vision and Pattern Recognition · Computer Science 2019-10-15 Jinshi Yu , Weijun Sun , Yuning Qiu , Shengli Xie

The ability to capture good quality images in the dark and near-zero lux conditions has been a long-standing pursuit of the computer vision community. The seminal work by Chen et al. [5] has especially caused renewed interest in this area,…

Computer Vision and Pattern Recognition · Computer Science 2020-12-01 Mohit Lamba , Atul Balaji , Kaushik Mitra

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

Parameter-Efficient Fine-Tuning (PEFT) of text-to-image models has become an increasingly popular technique with many applications. Among the various PEFT methods, Low-Rank Adaptation (LoRA) and its variants have gained significant…

Machine Learning · Computer Science 2025-08-01 Zerui Tao , Yuhta Takida , Naoki Murata , Qibin Zhao , Yuki Mitsufuji

A novel algorithm for the recovery of low-rank matrices acquired via compressive linear measurements is proposed and analyzed. The algorithm, a variation on the iterative hard thresholding algorithm for low-rank recovery, is designed to…

Numerical Analysis · Mathematics 2018-10-30 Simon Foucart , Srinivas Subramanian

The objective of this study is to address the problem of background/foreground separation with missing pixels by combining the video acquisition, video recovery, background/foreground separation into a single framework. To achieve this, a…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Bo Shen , Weijun Xie , Zhenyu Kong

Because of the limitations of matrix factorization, such as losing spatial structure information, the concept of low-rank tensor factorization (LRTF) has been applied for the recovery of a low dimensional subspace from high dimensional…

Computer Vision and Pattern Recognition · Computer Science 2017-05-22 Xi'ai Chen , Zhi Han , Yao Wang , Qian Zhao , Deyu Meng , Lin Lin , Yandong Tang

Small inter-class and large intra-class variations are the main challenges in fine-grained visual classification. Objects from different classes share visually similar structures and objects in the same class can have different poses and…

Computer Vision and Pattern Recognition · Computer Science 2019-09-09 Amir Erfan Eshratifar , David Eigen , Michael Gormish , Massoud Pedram

It has been an important approach of using matrix completion to perform image restoration. Most previous works on matrix completion focus on the low-rank property by imposing explicit constraints on the recovered matrix, such as the…

Machine Learning · Computer Science 2022-06-28 Zhemin Li , Zhi-Qin John Xu , Tao Luo , Hongxia Wang

Dimension reduction techniques are often used when the high-dimensional tensor has relatively low intrinsic rank compared to the ambient dimension of the tensor. The CANDECOMP/PARAFAC (CP) tensor completion is a widely used approach to find…

Numerical Analysis · Mathematics 2021-04-01 Jiahua Jiang , Fatoumata Sanogo , Carmeliza Navasca

Within the tensor singular value decomposition (T-SVD) framework, existing robust low-rank tensor completion approaches have made great achievements in various areas of science and engineering. Nevertheless, these methods involve the T-SVD…

Machine Learning · Computer Science 2023-05-22 Wenjin Qin , Hailin Wang , Feng Zhang , Weijun Ma , Jianjun Wang , Tingwen Huang

A novel tag completion algorithm is proposed in this paper, which is designed with the following features: 1) Low-rank and error s-parsity: the incomplete initial tagging matrix D is decomposed into the complete tagging matrix A and a…

Computer Vision and Pattern Recognition · Computer Science 2014-06-10 Xue Li , Yu-Jin Zhang , Bin Shen , Bao-Di Liu

Automatic color enhancement is aimed to adaptively adjust photos to expected styles and tones. For current learned methods in this field, global harmonious perception and local details are hard to be well-considered in a single model…

Computer Vision and Pattern Recognition · Computer Science 2019-07-23 Chaowei Shan , Zhizheng Zhang , Zhibo Chen

Recently, tensor fibered rank has demonstrated impressive performance by effectively leveraging the global low-rank property in all directions for low-rank tensor completion (LRTC). However, it still has some limitations. Firstly, the…

Numerical Analysis · Mathematics 2025-04-01 Ziming Chen , Xiaoqing Zhang

Transformer-based document cross-encoder rerankers are a central component of modern information retrieval systems. Despite their success, these models suffer from high computational costs due to processing long query-document sequences at…

Information Retrieval · Computer Science 2026-05-22 Shengyao Zhuang , Zhichao Xu , Ivano Lauriola

Tensors play a central role in many modern machine learning and signal processing applications. In such applications, the target tensor is usually of low rank, i.e., can be expressed as a sum of a small number of rank one tensors. This…

Machine Learning · Statistics 2015-05-18 Parikshit Shah , Nikhil Rao , Gongguo Tang

The goal of affine matrix rank minimization problem is to reconstruct a low-rank or approximately low-rank matrix under linear constraints. In general, this problem is combinatorial and NP-hard. In this paper, a nonconvex fraction function…

Optimization and Control · Mathematics 2018-06-21 Angang Cui , Jigen Peng , Haiyang Li

The main aim of this paper is to develop a new algorithm for computing nonnegative low rank tensor approximation for nonnegative tensors that arise in many multi-dimensional imaging applications. Nonnegativity is one of the important…

Computer Vision and Pattern Recognition · Computer Science 2021-09-28 Tai-Xiang Jiang , Michael K. Ng , Junjun Pan , Guangjing Song

We consider the problem of category-level 6D pose estimation from a single RGB image. Our approach represents an object category as a cuboid mesh and learns a generative model of the neural feature activations at each mesh vertex to perform…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Wufei Ma , Angtian Wang , Alan Yuille , Adam Kortylewski

As a new color image representation tool, quaternion has achieved excellent results in color image processing problems. In this paper, we propose a novel low-rank quaternion matrix completion algorithm to recover missing data of color…

Numerical Analysis · Mathematics 2019-09-17 Jifei Miao , Kit Ian Kou
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