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This paper proposes a new two-step procedure for sparse-view tomographic image reconstruction. It is called RISING, since it combines an early-stopped Rapid Iterative Solver with a subsequent Iteration Network-based Gaining step. So far,…

Numerical Analysis · Mathematics 2022-01-25 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini

Low-rank tensor estimation offers a powerful approach to addressing high-dimensional data challenges and can substantially improve solutions to ill-posed inverse problems, such as image reconstruction under noisy or undersampled conditions.…

Machine Learning · Computer Science 2025-02-06 Anh Van Nguyen , Diego Klabjan , Minseok Ryu , Kibaek Kim , Zichao Di

The fully-connected tensor network (FCTN) decomposition has recently exhibited strong modeling capabilities by connecting every pair of tensor factors, thereby capturing rich cross-mode correlations. However, this advantage comes with an…

Optimization and Control · Mathematics 2026-04-13 Ziyi Gan , Chunfeng Cui

Tensor decomposition is a popular technique for tensor completion, However most of the existing methods are based on linear or shallow model, when the data tensor becomes large and the observation data is very small, it is prone to over…

Numerical Analysis · Mathematics 2021-05-21 Qianxi Wu , An-Bao Xu

Vision transformers in vision-language models typically use the same amount of compute for every image, regardless of whether it is simple or complex. We propose ICAR (Image Complexity-Aware Retrieval), an adaptive computation approach that…

Information Retrieval · Computer Science 2026-01-16 Mikel Williams-Lekuona , Georgina Cosma

In this paper, we present a general framework for low-level vision tasks including image compression artifacts reduction and image denoising. Under this framework, a novel concatenated attention neural network (CANet) is specifically…

Image and Video Processing · Electrical Eng. & Systems 2020-06-22 Tian YingJie , Wang YiQi , Yang LinRui , Qi ZhiQuan

Image augmentation techniques apply transformation functions such as rotation, shearing, or color distortion on an input image. These augmentations were proven useful in improving neural networks' generalization ability. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2021-04-09 Moab Arar , Ariel Shamir , Amit Bermano

We present a new algorithm for incrementally updating the tensor train decomposition of a stream of tensor data. This new algorithm, called the {\em tensor train incremental core expansion} (TT-ICE) improves upon the current…

Numerical Analysis · Mathematics 2023-09-19 Doruk Aksoy , David J. Gorsich , Shravan Veerapaneni , Alex A. Gorodetsky

Tensor ring (TR) decomposition has been successfully used to obtain the state-of-the-art performance in the visual data completion problem. However, the existing TR-based completion methods are severely non-convex and computationally…

Computer Vision and Pattern Recognition · Computer Science 2019-03-22 Jinshi Yu , Chao Li , Qibin Zhao , Guoxu Zhou

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 recent years, tremendous efforts have been made on document image rectification, but existing advanced algorithms are limited to processing restricted document images, i.e., the input images must incorporate a complete document. Once the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Hao Feng , Shaokai Liu , Jiajun Deng , Wengang Zhou , Houqiang Li

The total electron content (TEC) maps can be used to estimate the signal delay of GPS due to the ionospheric electron content between a receiver and satellite. This delay can result in GPS positioning error. Thus it is important to monitor…

Applications · Statistics 2022-01-14 Hu Sun , Zhijun Hua , Jiaen Ren , Shasha Zou , Yuekai Sun , Yang Chen

The tensor train (TT) rank has received increasing attention in tensor completion due to its ability to capture the global correlation of high-order tensors ($\textrm{order} >3$). For third order visual data, direct TT rank minimization has…

Computer Vision and Pattern Recognition · Computer Science 2020-04-30 Meng Ding , Ting-Zhu Huang , Xi-Le Zhao , Michael K. Ng , Tian-Hui Ma

Tensor completion is a technique of filling missing elements of the incomplete data tensors. It being actively studied based on the convex optimization scheme such as nuclear-norm minimization. When given data tensors include some noises,…

Computer Vision and Pattern Recognition · Computer Science 2018-01-11 Tatsuya Yokota , Hidekata Hontani

In this paper, we consider the tensor completion problem representing the solution in the tensor train (TT) format. It is assumed that tensor is high-dimensional, and tensor values are generated by an unknown smooth function. The assumption…

Numerical Analysis · Mathematics 2020-08-27 Yermek Kapushev , Ivan Oseledets , Evgeny Burnaev

Remotely sensed images may contain some missing areas because of poor weather conditions and sensor failure. Information of those areas may play an important role in the interpretation of multitemporal remotely sensed data. The paper aims…

Signal Processing · Electrical Eng. & Systems 2018-07-04 Teng-Yu Ji , Naoto Yokoya , Xiao Xiang Zhu , Ting-Zhu Huang

Available super-resolution techniques for 3D images are either computationally inefficient prior-knowledge-based iterative techniques or deep learning methods which require a large database of known low- and high-resolution image pairs. A…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Janka Hatvani , Adrian Basarab , Jean-Yves Tourneret , Miklós Gyöngy , Denis Kouamé

The recently proposed fully-connected tensor network (FCTN) decomposition has demonstrated significant advantages in correlation characterization and transpositional invariance, and has achieved notable achievements in multi-dimensional…

Machine Learning · Computer Science 2026-02-16 Wenjin Qin , Hailin Wang , Jiangjun Peng , Jianjun Wang , Tingwen Huang

Composed Image Retrieval (CIR) aims to retrieve a target image based on a reference image and conditioning text, enabling controllable image searches. The mainstream Zero-Shot (ZS) CIR methods bypass the need for expensive training CIR…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Jaeseok Byun , Seokhyeon Jeong , Wonjae Kim , Sanghyuk Chun , Taesup Moon

Compressive spectral imaging (CSI) has emerged as an alternative spectral image acquisition technology, which reduces the number of measurements at the cost of requiring a recovery process. In general, the reconstruction methods are based…

Image and Video Processing · Electrical Eng. & Systems 2021-05-19 Jorge Bacca , Yesid Fonseca , Henry Arguello