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The problem of recovering a low-rank matrix from a set of observations corrupted with gross sparse error is known as the robust principal component analysis (RPCA) and has many applications in computer vision, image processing and web data…

Optimization and Control · Mathematics 2013-09-27 Necdet Serhat Aybat , Donald Goldfarb , Shiqian Ma

Digital image inpainting is an interpolation problem, inferring the content in the missing (unknown) region to agree with the known region data such that the interpolated result fulfills some prior knowledge. Low-rank and nonlocal…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Shenghai Liao , Xuya Liu , Ruyi Han , Shujun Fu , Yuanfeng Zhou , Yuliang Li

As a very common type of video, face videos often appear in movies, talk shows, live broadcasts, and other scenes. Real-world online videos are often plagued by degradations such as blurring and quantization noise, due to the high…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Yutong Wang , Jiajie Teng , Jiajiong Cao , Yuming Li , Chenguang Ma , Hongteng Xu , Dixin Luo

The goal of tensor completion is to fill in missing entries of a partially known tensor under a low-rank constraint. In this paper, we mainly study low rank third-order tensor completion problems by using Riemannian optimization methods on…

Optimization and Control · Mathematics 2020-11-24 Guang-Jing Song , Xue-Zhong Wang , Michael K. Ng

In this paper we propose novel methods for completion (from limited samples) and de-noising of multilinear (tensor) data and as an application consider 3-D and 4- D (color) video data completion and de-noising. We exploit the recently…

Computer Vision and Pattern Recognition · Computer Science 2014-10-31 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

Underwater image enhancement plays a crucial role in providing reliable visual information for underwater platforms, since strong absorption and scattering in water-related environments generally lead to image quality degradation. Existing…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Yiqiang Zhou , Yifan Chen , Zhe Sun , Jijun Lu , Ye Zheng , Xuelong Li

We present Tensor4D, an efficient yet effective approach to dynamic scene modeling. The key of our solution is an efficient 4D tensor decomposition method so that the dynamic scene can be directly represented as a 4D spatio-temporal tensor.…

Computer Vision and Pattern Recognition · Computer Science 2023-04-14 Ruizhi Shao , Zerong Zheng , Hanzhang Tu , Boning Liu , Hongwen Zhang , Yebin Liu

Recurrent neural networks (RNNs) are powerful architectures to model sequential data, due to their capability to learn short and long-term dependencies between the basic elements of a sequence. Nonetheless, popular tasks such as speech or…

Supervised learning has been widely used for attack categorization, requiring high-quality data and labels. However, the data is often imbalanced and it is difficult to obtain sufficient annotations. Moreover, supervised models are subject…

Cryptography and Security · Computer Science 2022-09-05 Zihan Li , Wentao Chen , Zhiqing Wei , Xingqi Luo , Bing Su

Recent approaches based on transform-based tensor nuclear norm (TNN) have demonstrated notable effectiveness in hyperspectral image (HSI) inpainting by leveraging low-rank structures in latent representations. Recent developments…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Yunshan Li , Wenwu Gong , Qianqian Wang , Chao Wang , Lili Yang

In this paper a new Riemannian rank adaptive method (RRAM) is proposed for the low-rank tensor completion problem (LRTCP) formulated as a least-squares optimization problem on the algebraic variety of tensors of bounded tensor-train (TT)…

Optimization and Control · Mathematics 2024-02-20 Charlotte Vermeylen , Marc Van Barel

Tomographic imaging is useful for revealing the internal structure of a 3D sample. Classical reconstruction methods treat the object of interest as a vector to estimate its value. Such an approach, however, can be inefficient in analyzing…

Applications · Statistics 2022-04-06 Sanket R. Jantre , Zichao Wendy Di

Video tokenizers are essential for latent video diffusion models, converting raw video data into spatiotemporally compressed latent spaces for efficient training. However, extending state-of-the-art video tokenizers to achieve a temporal…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Aniruddha Mahapatra , Long Mai , David Bourgin , Yitian Zhang , Feng Liu

In recent years inpainting-based compression methods have been shown to be a viable alternative to classical codecs such as JPEG and JPEG2000. Unlike transform-based codecs, which store coefficients in the transform domain, inpainting-based…

Image and Video Processing · Electrical Eng. & Systems 2024-01-15 Niklas Kämper , Vassillen Chizhov , Joachim Weickert

Image Super-Resolution is a fundamental problem in computer vision with broad applications spacing from medical imaging to satellite analysis. The ability to reconstruct high-resolution images from low-resolution inputs is crucial for…

Computer Vision and Pattern Recognition · Computer Science 2026-05-06 Luigi Sigillo , Christian Bianchi , Aurelio Uncini , Danilo Comminiello

With the growing demand for video applications, many advanced learned video compression methods have been developed, outperforming traditional methods in terms of objective quality metrics such as PSNR. Existing methods primarily focus on…

Image and Video Processing · Electrical Eng. & Systems 2023-10-10 Meng Li , Yibo Shi , Jing Wang , Yunqi Huang

This work studies the Tensor Robust Principal Component Analysis (TRPCA) problem, which aims to exactly recover the low-rank and sparse components from their sum. Our model is motivated by the recently proposed linear transforms based…

Machine Learning · Computer Science 2019-07-22 Canyi Lu , Pan Zhou

We develop an automated video colorization framework that minimizes the flickering of colors across frames. If we apply image colorization techniques to successive frames of a video, they treat each frame as a separate colorization task.…

Computer Vision and Pattern Recognition · Computer Science 2023-05-24 Thejan Wijesinghe , Chamath Abeysinghe , Chanuka Wijayakoon , Lahiru Jayathilake , Uthayasanker Thayasivam

Compression methods based on inpainting are an evolving alternative to classical transform-based codecs for still images. Attempts to apply these ideas to video compression are rare, since reaching real-time performance is very challenging.…

Image and Video Processing · Electrical Eng. & Systems 2021-05-05 Sarah Andris , Pascal Peter , Rahul Mohideen Kaja Mohideen , Joachim Weickert , Sebastian Hoffmann

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
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