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Although block compressive sensing (BCS) makes it tractable to sense large-sized images and video, its recovery performance has yet to be significantly improved because its recovered images or video usually suffer from blurred edges, loss…

计算机视觉与模式识别 · 计算机科学 2017-03-16 Trinh Van Chien , Khanh Quoc Dinh , Byeungwoo Jeon , Martin Burger

We consider tensor data completion of an incomplete observation of multidimensional harmonic (MH) signals. Unlike existing tensor-based techniques for MH retrieval (MHR), which mostly adopt the canonical polyadic decomposition (CPD) to…

信号处理 · 电气工程与系统科学 2025-01-28 Lei Wang , Xiao-Feng Gong , Xi-Yuan Liu , Wei Feng , Qiu-Hua Lin

In this paper, we propose a novel tensor learning and coding model for third-order data completion. Our model is to learn a data-adaptive dictionary from the given observations, and determine the coding coefficients of third-order tensor…

计算机视觉与模式识别 · 计算机科学 2021-03-02 Tai-Xiang Jiang , Xi-Le Zhao , Hao Zhang , Michael K. Ng

Decompositions of tensors into factor matrices, which interact through a core tensor, have found numerous applications in signal processing and machine learning. A more general tensor model which represents data as an ordered network of…

数值分析 · 计算机科学 2016-09-30 Anh-Huy Phan , Andrzej Cichocki , Andre Uschmajew , Petr Tichavsky , George Luta , Danilo Mandic

Fine-grained action segmentation in long untrimmed videos is an important task for many applications such as surveillance, robotics, and human-computer interaction. To understand subtle and precise actions within a long time period,…

机器学习 · 计算机科学 2020-04-07 Yan Zhang , Krikamol Muandet , Qianli Ma , Heiko Neumann , Siyu Tang

Tensor decomposition methods are popular tools for analysis of multi-way datasets from social media, healthcare, spatio-temporal domains, and others. Widely adopted models such as Tucker and canonical polyadic decomposition (CPD) follow a…

机器学习 · 计算机科学 2023-09-19 Maxwell McNeil , Petko Bogdanov

Every day around the world, interminable terabytes of data are being captured for surveillance purposes. A typical 1-2MP CCTV camera generates around 7-12GB of data per day. Frame-by-frame processing of such enormous amount of data requires…

计算机视觉与模式识别 · 计算机科学 2021-04-20 Yeshwanth Ravi Theja Bethi , Sathyaprakash Narayanan , Venkat Rangan , Chetan Singh Thakur

We show how to develop sampling-based alternating least squares (ALS) algorithms for decomposition of tensors into any tensor network (TN) format. Provided the TN format satisfies certain mild assumptions, resulting algorithms will have…

数值分析 · 数学 2022-10-11 Osman Asif Malik , Vivek Bharadwaj , Riley Murray

In this paper, we address the multi-view subspace clustering problem. Our method utilizes the circulant algebra for tensor, which is constructed by stacking the subspace representation matrices of different views and then rotating, to…

计算机视觉与模式识别 · 计算机科学 2017-08-15 Yuan Xie , Dacheng Tao , Wensheng Zhang , Lei Zhang , Yan Liu , Yanyun Qu

Higher-order tensors are becoming prevalent in many scientific areas such as computer vision, social network analysis, data mining and neuroscience. Traditional tensor decomposition approaches face three major challenges: model selecting,…

数值分析 · 计算机科学 2014-07-08 Fanhua Shang , Yuanyuan Liu , James Cheng

Video Coding for Machines (VCM) is committed to bridging to an extent separate research tracks of video/image compression and feature compression, and attempts to optimize compactness and efficiency jointly from a unified perspective of…

计算机视觉与模式识别 · 计算机科学 2021-10-19 Wenhan Yang , Haofeng Huang , Yueyu Hu , Ling-Yu Duan , Jiaying Liu

This paper describes a new algorithm for computing a low-Tucker-rank approximation of a tensor. The method applies a randomized linear map to the tensor to obtain a sketch that captures the important directions within each mode, as well as…

数值分析 · 数学 2021-05-04 Yiming Sun , Yang Guo , Charlene Luo , Joel Tropp , Madeleine Udell

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,…

数值分析 · 数学 2021-01-03 Abdul Ahad , Zhen Long , Ce Zhu , Yipeng Liu

Recently, triple decomposition has attracted increasing attention for decomposing third-order tensors into three factor tensors. However, this approach is limited to third-order tensors and enforces uniformity in the lower dimensions across…

数值分析 · 数学 2025-11-14 Kunjing Yang , Libin Zheng , Minru Bai

With powerful ability to exploit latent structure of self-representation information, different tensor decompositions have been employed into low rank multi-view clustering (LRMVC) models for achieving significant performance. However,…

机器学习 · 计算机科学 2022-10-25 Yingcong Lu , Yipeng Liu , Zhen Long , Zhangxin Chen , Ce Zhu

A tensor is a multi-way array that can represent, in addition to a data set, the expression of a joint law or a multivariate function. As such it contains the description of the interactions between the variables corresponding to each of…

数值分析 · 数学 2022-01-20 Alain Franc

Tensor ring (TR) decomposition has been widely applied as an effective approach in a variety of applications to discover the hidden low-rank patterns in multidimensional data. A well-known method for TR decomposition is the alternating…

数值分析 · 数学 2022-10-21 Yajie Yu , Hanyu Li

Tensors naturally model many real world processes which generate multi-aspect data. Such processes appear in many different research disciplines, e.g, chemometrics, computer vision, psychometrics and neuroimaging analysis. Tensor…

数据结构与算法 · 计算机科学 2009-09-29 Charalampos E. Tsourakakis

Block matching (BM) motion estimation plays a very important role in video coding. In a BM approach, image frames in a video sequence are divided into blocks. For each block in the current frame, the best matching block is identified inside…

神经与进化计算 · 计算机科学 2014-07-02 Erik Cuevas , Daniel Zaldivar , Marco Perez , Humberto Sossa , Valentin Osuna

We develop a new compressive sensing (CS) inversion algorithm by utilizing the Gaussian mixture model (GMM). While the compressive sensing is performed globally on the entire image as implemented in our lensless camera, a low-rank GMM is…

机器学习 · 统计学 2015-08-28 Xin Yuan , Hong Jiang , Gang Huang , Paul A. Wilford