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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…

数值分析 · 数学 2025-04-01 Ziming Chen , Xiaoqing Zhang

Multitask learning (MTL) leverages task-relatedness to enhance performance. With the emergence of multimodal data, tasks can now be referenced by multiple indices. In this paper, we employ high-order tensors, with each mode corresponding to…

机器学习 · 计算机科学 2023-08-31 Jiani Liu , Qinghua Tao , Ce Zhu , Yipeng Liu , Xiaolin Huang , Johan A. K. Suykens

Tensor decomposition of high-dimensional data often struggles to capture semantically or physically meaningful structures, particularly when relying on reconstruction objectives and fixed-rank constraints. We introduce a no-rank tensor…

机器学习 · 计算机科学 2026-03-03 Maryam Bagherian

Graph Neural Networks (GNNs) have achieved remarkable success in learning node representations and have shown strong performance in tasks such as node classification. However, recent findings indicate that the presence of noise in…

机器学习 · 计算机科学 2025-07-01 Yancheng Wang , Yingzhen Yang

The low rank tensor completion (LRTC) problem has attracted great attention in computer vision and signal processing. How to acquire high quality image recovery effect is still an urgent task to be solved at present. This paper proposes a…

数值分析 · 数学 2022-07-12 Hongbing Zhang , Xinyi Liu , Hongtao Fan , Yajing Li , Yinlin Ye

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…

机器学习 · 统计学 2021-04-07 Zhen Long , Ce Zhu , Jiani Liu , Yipeng Liu

In this paper, a new definition of tensor p-shrinkage nuclear norm (p-TNN) is proposed based on tensor singular value decomposition (t-SVD). In particular, it can be proved that p-TNN is a better approximation of the tensor average rank…

机器学习 · 计算机科学 2019-07-10 Chunsheng Liu , Hong Shan , Chunlei Chen

Convolutional neural networks typically consist of many convolutional layers followed by one or more fully connected layers. While convolutional layers map between high-order activation tensors, the fully connected layers operate on…

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…

计算机视觉与模式识别 · 计算机科学 2019-03-22 Jinshi Yu , Chao Li , Qibin Zhao , Guoxu Zhou

Multi-task learning (MTL) aims to improve estimation and prediction performance by sharing common information among related tasks. One natural assumption in MTL is that tasks are classified into clusters based on their characteristics.…

统计方法学 · 统计学 2024-05-28 Akira Okazaki , Shuichi Kawano

Current top-notch deep learning (DL) based vision models are primarily based on exploring and exploiting the inherent correlations between training data samples and their associated labels. However, a known practical challenge is their…

计算机视觉与模式识别 · 计算机科学 2023-10-31 Chao-Han Huck Yang , I-Te Danny Hung , Yi-Chieh Liu , Pin-Yu Chen

Tensor clustering, which seeks to extract underlying cluster structures from noisy tensor observations, has gained increasing attention. One extensively studied model for tensor clustering is the tensor block model, which postulates the…

统计理论 · 数学 2023-11-07 Yuchen Zhou , Yuxin Chen

Matrix completion focuses on recovering a matrix from a small subset of its observed elements, and has already gained cumulative attention in computer vision. Many previous approaches formulate this issue as a low-rank matrix approximation…

计算机视觉与模式识别 · 计算机科学 2019-01-08 Shengke Xue , Wenyuan Qiu , Fan Liu , Xinyu Jin

Deep learning based fusion methods have been achieving promising performance in image fusion tasks. This is attributed to the network architecture that plays a very important role in the fusion process. However, in general, it is hard to…

计算机视觉与模式识别 · 计算机科学 2023-04-18 Hui Li , Tianyang Xu , Xiao-Jun Wu , Jiwen Lu , Josef Kittler

Hyperspectral super-resolution (HSR) fuses a low-resolution hyperspectral image (HSI) and a high-resolution multispectral image (MSI) to obtain a high-resolution HSI (HR-HSI). In this paper, we propose a new model, named coupled tensor ring…

图像与视频处理 · 电气工程与系统科学 2020-01-07 Wei He , Yong Chen , Naoto Yokoya , Chao Li , Qibin Zhao

The topological information is essential for studying the relationship between nodes in a network. Recently, Network Representation Learning (NRL), which projects a network into a low-dimensional vector space, has been shown their…

社会与信息网络 · 计算机科学 2019-02-19 Guoji Fu , Chengbin Hou , Xin Yao

The development of energy selective, photon counting X-ray detectors allows for a wide range of new possibilities in the area of computed tomographic image formation. Under the assumption of perfect energy resolution, here we propose a…

计算机视觉与模式识别 · 计算机科学 2015-06-16 Oguz Semerci , Ning Hao , Misha E. Kilmer , Eric L. Miller

In this paper, we propose a novel low-tubal-rank tensor recovery model, which directly constrains the tubal rank prior for effectively removing the mixed Gaussian and sparse noise in hyperspectral images. The constraints of tubal-rank and…

计算机视觉与模式识别 · 计算机科学 2019-05-16 Hao Zhang , Xi-Le Zhao , Tai-Xiang Jiang , Michael Kwok-Po Ng

Subspace clustering aims to group data points into multiple clusters of which each corresponds to one subspace. Most existing subspace clustering approaches assume that input data lie on linear subspaces. In practice, however, this…

计算机视觉与模式识别 · 计算机科学 2020-03-30 Liangli Zhen , Dezhong Peng , Wei Wang , Xin Yao

Tensor ring (TR) decomposition is a powerful tool for exploiting the low-rank nature of multiway data and has demonstrated great potential in a variety of important applications. In this paper, nonnegative tensor ring (NTR) decomposition…

计算机视觉与模式识别 · 计算机科学 2020-10-13 Yuyuan Yu , Guoxu Zhou , Ning Zheng , Shengli Xie , Qibin Zhao