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In this paper we develop two new Tensor Alternating Steepest Descent algorithms for tensor completion in the low-rank $\star_{M}$-product format, whereby we aim to reconstruct an entire low-rank tensor from a small number of measurements…

数值分析 · 数学 2025-06-13 Oliver Townsend , Sergey Dolgov , Silvia Gazzola , Misha Kilmer

In this paper we propose novel methods for compression and recovery of multilinear data under limited sampling. We exploit the recently proposed tensor- Singular Value Decomposition (t-SVD)[1], which is a group theoretic framework for…

信息论 · 计算机科学 2013-11-01 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

For many modern applications in science and engineering, data are collected in a streaming fashion carrying time-varying information, and practitioners need to process them with a limited amount of memory and computational resources in a…

机器学习 · 统计学 2018-06-13 Laura Balzano , Yuejie Chi , Yue M. Lu

Recently, considerable research attention has been paid to network embedding, a popular approach to construct feature vectors of vertices. Due to the curse of dimensionality and sparsity in graphical datasets, this approach has become…

机器学习 · 计算机科学 2018-11-15 Xi Liu , Ping-Chun Hsieh , Nick Duffield , Rui Chen , Muhe Xie , Xidao Wen

Tensor data often suffer from missing value problem due to the complex high-dimensional structure while acquiring them. To complete the missing information, lots of Low-Rank Tensor Completion (LRTC) methods have been proposed, most of which…

计算机视觉与模式识别 · 计算机科学 2021-05-07 Zhebin Wu , Tianchi Liao , Chuan Chen , Cong Liu , Zibin Zheng , Xiongjun Zhang

We propose a method for learning from streaming visual data using a compact, constant size representation of all the data that was seen until a given moment. Specifically, we construct a 'coreset' representation of streaming data using a…

计算机视觉与模式识别 · 计算机科学 2015-11-20 Abhimanyu Dubey , Nikhil Naik , Dan Raviv , Rahul Sukthankar , Ramesh Raskar

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…

计算机视觉与模式识别 · 计算机科学 2020-04-30 Meng Ding , Ting-Zhu Huang , Xi-Le Zhao , Michael K. Ng , Tian-Hui Ma

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…

计算机视觉与模式识别 · 计算机科学 2014-10-31 Zemin Zhang , Gregory Ely , Shuchin Aeron , Ning Hao , Misha Kilmer

Dynamic behaviors are becoming prevalent in tensor applications, like machine learning, where many widely used models contain data-dependent tensor shapes and control flow. However, the limited expressiveness of prior programming…

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…

信号处理 · 电气工程与系统科学 2018-07-04 Teng-Yu Ji , Naoto Yokoya , Xiao Xiang Zhu , Ting-Zhu Huang

In recent years, there have been an increasing number of applications of tensor completion based on the tensor train (TT) format because of its efficiency and effectiveness in dealing with higher-order tensor data. However, existing tensor…

计算机视觉与模式识别 · 计算机科学 2022-01-25 Yang Zhang , Yao Wang , Zhi Han , Xi'ai Chen , Yandong Tang

Low-rank tensor completion (LRTC) aims to recover a complete low-rank tensor from incomplete observed tensor, attracting extensive attention in various practical applications such as image processing and computer vision. However, current…

计算机视觉与模式识别 · 计算机科学 2024-04-19 Hongbing Zhang

In this paper, we consider the network latency estimation, which has been an important metric for network performance. However, a large scale of network latency estimation requires a lot of computing time. Therefore, we propose a new method…

网络与互联网体系结构 · 计算机科学 2023-07-14 Jun Lei , Ji-Qian Zhao , Jing-Qi Wang , An-Bao Xu

Extracting latent low-dimensional structure from high-dimensional data is of paramount importance in timely inference tasks encountered with `Big Data' analytics. However, increasingly noisy, heterogeneous, and incomplete datasets as well…

机器学习 · 统计学 2015-06-19 Morteza Mardani , Gonzalo Mateos , Georgios B. Giannakis

Streaming data applications are becoming more common due to the ability of different information sources to continuously capture or produce data, such as sensors and social media. Despite recent advances, most visualization approaches, in…

信号处理 · 电气工程与系统科学 2020-03-23 Tácito T. A. T. Neves , Rafael M. Martins , Danilo B. Coimbra , Kostiantyn Kucher , Andreas Kerren , Fernando V. Paulovich

Recent approaches to point tracking are able to recover the trajectory of any scene point through a large portion of a video despite the presence of occlusions. They are, however, too slow in practice to track every point observed in a…

计算机视觉与模式识别 · 计算机科学 2024-03-05 Guillaume Le Moing , Jean Ponce , Cordelia Schmid

This paper presents a robust tracking approach to handle challenges such as occlusion and appearance change. Here, the target is partitioned into a number of patches. Then, the appearance of each patch is modeled using a dictionary composed…

计算机视觉与模式识别 · 计算机科学 2015-06-18 Ali Zarezade , Hamid R. Rabiee , Ali Soltani-Farani , Ahmad Khajenezhad

Various algorithms have been proposed for dictionary learning. Among those for image processing, many use image patches to form dictionaries. This paper focuses on whole-image recovery from corrupted linear measurements. We address the open…

计算机视觉与模式识别 · 计算机科学 2014-08-19 Yangyang Xu , Wotao Yin

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…

最优化与控制 · 数学 2020-11-24 Guang-Jing Song , Xue-Zhong Wang , Michael K. Ng

Cybersecurity systems are continuously producing a huge number of time-stamped events in the form of high-order tensors, such as {count; time, port, flow duration, packet size, . . . }, and so how can we detect anomalies/intrusions in real…

机器学习 · 计算机科学 2025-03-04 Kota Nakamura , Koki Kawabata , Shungo Tanaka , Yasuko Matsubara , Yasushi Sakurai